diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/2KHe79d7FRU_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/2KHe79d7FRU_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..3a15333f9de8c5b2f1f05742fbed981cbd513bfc
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/2KHe79d7FRU_postprocess.srt
@@ -0,0 +1,1512 @@
+1
+00:00:05,200 --> 00:00:08,080
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,080 --> 00:00:12,220
+وبركاته دي هنكمل في ال constraint plan motion
+
+3
+00:00:12,220 --> 00:00:18,700
+هنحكي عن ال rolling motion rolling motion يعني
+
+4
+00:00:18,700 --> 00:00:25,620
+حركة تدحرجية بدون انزلاق مثال على اللي احنا
+
+5
+00:00:25,620 --> 00:00:31,990
+شايفينه في عندى ال deskو في عندى ال surface طبعا
+
+6
+00:00:31,990 --> 00:00:36,310
+في بين ال surface و ال desk في احتكاك ال force
+
+7
+00:00:36,310 --> 00:00:40,410
+اللى بتأثر على ال desk اللى هو وزنه رد الفعل
+
+8
+00:00:40,410 --> 00:00:46,970
+العمودي و في force خارجية P و في friction force F
+
+9
+00:00:50,370 --> 00:00:54,990
+الان طالما انه طبعا هذه نتيجة ال forces حاسس ان
+
+10
+00:00:54,990 --> 00:01:00,850
+عندي مركز ثقة اللي يتحرك ب acceleration عندي MA
+
+11
+00:01:00,850 --> 00:01:05,650
+وحاسسله ايش؟ rotation ب I Alpha
+
+12
+00:01:08,380 --> 00:01:13,900
+طالما ان الاحتكاك هنا .. الاحتكاك من الأرض على ال
+
+13
+00:01:13,900 --> 00:01:18,680
+disk أكبر من ال force المتولدة، يعني مش هسيل
+
+14
+00:01:18,680 --> 00:01:22,980
+انزلاق طالما انه انا مش يادر اتغلب على الاحتكاك،
+
+15
+00:01:22,980 --> 00:01:29,160
+هي الاحتكاك هو المسيطر، معناته حضمن ان السيران دي
+
+16
+00:01:29,160 --> 00:01:35,700
+roll أو تدخرجكمان مرة طالما ان ال force المتولدة
+
+17
+00:01:35,700 --> 00:01:46,660
+بين السطح و ال disk أقل من الاحتكاك لحد الأقصى من
+
+18
+00:01:46,660 --> 00:01:54,110
+الاحتكاك معناته حشيت ضهرجإذا ال force المتولدة
+
+19
+00:01:54,110 --> 00:01:58,230
+زادة عن حد معين في لحظة ما هتغلب على الاحتكاك
+
+20
+00:01:58,230 --> 00:02:02,070
+وحيصيراش انزلاق، معناته
+
+21
+00:02:04,600 --> 00:02:09,020
+في الحالة هذه طالما هي ال force المتولدة الفريكشة
+
+22
+00:02:09,020 --> 00:02:13,080
+الحقيقية أقل من ميو أس ن ميو أس ن ليش معامل احتكاك
+
+23
+00:02:13,080 --> 00:02:19,440
+استاتيكي و أن رد الفعل من الأرض على ال disk بيكون
+
+24
+00:02:19,440 --> 00:02:23,720
+عنده rolling في الحالة ده بيكون في علاقة من ال
+
+25
+00:02:23,720 --> 00:02:27,940
+acceleration تاعة مركز استقل و العجلة الزاوية في
+
+26
+00:02:27,940 --> 00:02:32,540
+الحالة ده بيكون ال a بساوي R في ألفةفي حالة ال
+
+27
+00:02:32,540 --> 00:02:36,400
+critical بيكون على وشك الانزلاق ان ال F ايش تساوي
+
+28
+00:02:36,400 --> 00:02:41,480
+ميو أس ان بالظبط تساويها بيكون ال ال ال disk على
+
+29
+00:02:41,480 --> 00:02:45,100
+وشك الانزلاق برضه ما زال العلاقة بين ال
+
+30
+00:02:45,100 --> 00:02:51,240
+acceleration و العجلة الزاوية ال A بيستوى R في
+
+31
+00:02:51,240 --> 00:02:59,040
+Alpha otherwise الشرطة ده ماتحققش هيصير انزلاق
+
+32
+00:03:01,070 --> 00:03:07,950
+بحيث يصير انزلاق مع تدحرج
+
+33
+00:03:08,640 --> 00:03:12,700
+في الحالة هذه مازال في sliding هتصير ال force
+
+34
+00:03:12,700 --> 00:03:19,320
+قيمتها معامل احتكاك ال dinamic في N ميو كي في N و
+
+35
+00:03:19,320 --> 00:03:23,880
+ال A و ال R ألفة are not related يعني مافيش بينهم
+
+36
+00:03:23,880 --> 00:03:28,620
+relation في حالة سكانان ده انزلاق ال disk على
+
+37
+00:03:28,620 --> 00:03:33,200
+الأرض بيكون ال A و ال R ألفة are not related و
+
+38
+00:03:33,200 --> 00:03:35,160
+بتكون ال F بيستخدم ميو كي في N
+
+39
+00:03:42,560 --> 00:03:44,860
+الأن في عندي desk يعني
+
+40
+00:03:48,220 --> 00:03:52,880
+انفرج زي ما انتوا شايفين طالما انه بتدهرج على
+
+41
+00:03:52,880 --> 00:03:57,980
+السطح الأفقي طالما انه انفرج بطل المركز التقل اللي
+
+42
+00:03:57,980 --> 00:04:03,920
+جاي في النص مظبوط هذا مركز الدائرة مركز الدائرة مش
+
+43
+00:04:03,920 --> 00:04:06,460
+مركز تقل الجسم معناه انك في مركز تقل الجسم هتصير
+
+44
+00:04:06,460 --> 00:04:13,720
+المنطقة G المنطقة G لكن طالما ان ال disk بتدهرج ال
+
+45
+00:04:13,720 --> 00:04:18,760
+acceleration بتاع نقطةO بالساوية نصف القطر في
+
+46
+00:04:18,760 --> 00:04:25,000
+Alpha طالما ان في عندى تدحرج ال
+
+47
+00:04:25,000 --> 00:04:32,880
+acceleration بتاعة مركز الثقل G هتكون AG بالساوية
+
+48
+00:04:32,880 --> 00:04:39,840
+AO زاد AG بالنسبة لOالـ AGO بالنسبة للـ O هيكون
+
+49
+00:04:39,840 --> 00:04:44,900
+لها مركبة تان مركبة Radial اللى هى AGO normal او
+
+50
+00:04:44,900 --> 00:04:49,660
+normal component وفي عندى مركبة tangential AGO
+
+51
+00:04:49,660 --> 00:04:54,160
+tangential AGA tangential معناته ال AGO بالساوية
+
+52
+00:04:54,160 --> 00:05:01,020
+ال A O اللى هى أفقية زاد AGO tangential زاد AGO
+
+53
+00:05:01,020 --> 00:05:07,370
+normal ال AGO tangential ايش بالساويةالف في
+
+54
+00:05:07,370 --> 00:05:13,310
+المسافة og صح وال a g ا normal ايش الساوية اومل
+
+55
+00:05:13,310 --> 00:05:28,770
+تربيع في og اومل تربيع في og نشوف أمثلة فعندي
+
+56
+00:05:28,770 --> 00:05:33,890
+كرة وزنها W كرة وزنها
+
+57
+00:05:38,240 --> 00:05:43,200
+W is released with no initial velocity and rolls
+
+58
+00:05:43,200 --> 00:05:47,720
+without slipping on the incline تم إطلاقها من
+
+59
+00:05:47,720 --> 00:05:53,760
+السكون وصارت دهرج بدون انزلاق على السطح الماء اللي
+
+60
+00:05:53,760 --> 00:05:59,700
+احنا شايفينه تم إطلاقها من السكون يعني مركز استقل
+
+61
+00:05:59,700 --> 00:06:01,360
+سرعة مركز استقل V
+
+62
+00:06:05,330 --> 00:06:13,990
+zero ومافيش عندى انزلاق احسب ال minimum value of
+
+63
+00:06:13,990 --> 00:06:18,510
+the coefficient of friction احسب ايش اقل قيمة
+
+64
+00:06:18,510 --> 00:06:25,070
+لمعامل احتكاك الاستاتيكي بحيث تكون الحركة تدحرجية
+
+65
+00:06:25,070 --> 00:06:30,670
+لان هاي ال .. ال .. هنرسم free path diagram
+
+66
+00:06:38,400 --> 00:06:42,820
+هذه الكوارة ال
+
+67
+00:06:42,820 --> 00:06:51,700
+force اللي بتأثر عليها في عندى رد الفعل العمودي و
+
+68
+00:06:51,700 --> 00:06:57,420
+في عندى الوزن W
+
+69
+00:06:57,420 --> 00:07:03,880
+و
+
+70
+00:07:03,880 --> 00:07:04,340
+في عندى
+
+71
+00:07:08,240 --> 00:07:15,060
+اللي هو ال friction
+
+72
+00:07:15,060 --> 00:07:32,940
+force هذا حد ساوي هيكون
+
+73
+00:07:32,940 --> 00:07:36,840
+مركز اتقال ايه له acceleration
+
+74
+00:07:39,500 --> 00:07:43,620
+م في ا و
+
+75
+00:07:43,620 --> 00:07:47,700
+فيه ايش اي
+
+76
+00:07:47,700 --> 00:07:54,380
+في الف هنحكي
+
+77
+00:07:54,380 --> 00:08:02,280
+هذا نقطة المركز جي نقطة التلامس سي هذه جي هذه سي
+
+78
+00:08:22,940 --> 00:08:32,300
+طيب خلنا نعتبر هذا ال X هذا
+
+79
+00:08:32,300 --> 00:08:45,300
+ال Y اللي
+
+80
+00:08:45,300 --> 00:08:47,140
+انا هكون عندى summation
+
+81
+00:08:50,180 --> 00:08:54,900
+لل forces بتجاه
+
+82
+00:08:54,900 --> 00:09:05,420
+ال Y هل في حركة بتجاه ال Y؟ ساوي Zero صح؟
+
+83
+00:09:05,420 --> 00:09:09,920
+هتساوي N minus
+
+84
+00:09:09,920 --> 00:09:16,120
+W cosine التلاتين
+
+85
+00:09:18,040 --> 00:09:29,940
+معناته الان هتكون السواء و cosine التلاتين طيب
+
+86
+00:09:29,940 --> 00:09:35,860
+ال X sub initial forces باتجاه
+
+87
+00:09:35,860 --> 00:09:40,740
+ال X هتكون
+
+88
+00:09:40,740 --> 00:09:52,920
+السواء M في A صح؟اتجاه ال X هيكون عنده W SIN
+
+89
+00:09:52,920 --> 00:09:58,580
+التلاتين minus
+
+90
+00:09:58,580 --> 00:10:03,620
+ال F بالساوية
+
+91
+00:10:03,620 --> 00:10:13,460
+M في A اللي هي W على G في A صح؟ W
+
+92
+00:10:13,460 --> 00:10:13,940
+على G
+
+93
+00:10:21,550 --> 00:10:32,690
+فى ايه؟ معناته ال F بتساوي
+
+94
+00:10:32,690 --> 00:10:36,490
+اقسم
+
+95
+00:10:36,490 --> 00:10:40,130
+minus minus minus وجبت هذا عجبا تامسين تساوي W sin
+
+96
+00:10:40,130 --> 00:10:46,870
+تلاتين W على اتنين minus
+
+97
+00:10:50,500 --> 00:11:04,780
+W على G في A يعني هذه معادلة واحد هذه
+
+98
+00:11:04,780 --> 00:11:12,600
+معادلة اتنين المعادلة
+
+99
+00:11:12,600 --> 00:11:18,200
+تالتة للحركة ممكن اخد summation moment حوالين G
+
+100
+00:11:20,030 --> 00:11:24,770
+Summation of moment
+
+101
+00:11:24,770 --> 00:11:38,370
+حوالين G بتساوي
+
+102
+00:11:38,370 --> 00:11:43,270
+مزال G حوالين G هتكون I في Alpha صح؟ I
+
+103
+00:11:45,900 --> 00:11:55,260
+فى الفى طبعا ال N و ال W مش هعملوه بس راندي اف ار
+
+104
+00:11:55,260 --> 00:11:59,760
+بساوي
+
+105
+00:11:59,760 --> 00:12:06,760
+ال I للاسفير ايش بساوي اتنين
+
+106
+00:12:06,760 --> 00:12:17,330
+على خمسة M R square صح يعني اتنين على خمسةW على G
+
+107
+00:12:17,330 --> 00:12:31,370
+R تربيع F R بيستوى ال I اللي هي اتنين على خمسة W
+
+108
+00:12:31,370 --> 00:12:44,990
+على G R square في Alpha يعني هتكون ال F طيب
+
+109
+00:12:47,220 --> 00:12:49,680
+إذا كان انا بده ال minimum انا عنده اول شي rolling
+
+110
+00:12:49,680 --> 00:12:56,940
+motion rolling motion
+
+111
+00:13:00,200 --> 00:13:03,140
+انا بحكي ال minimum value بتاعة الميو أسبانات
+
+112
+00:13:03,140 --> 00:13:09,060
+بتكون الكرة على وشك الإنزلاق في الحالة هذه ال أفة
+
+113
+00:13:09,060 --> 00:13:19,160
+شو تساوي ميو أس في أن يعني هتكون تساوي ال أن اللي
+
+114
+00:13:19,160 --> 00:13:23,660
+هي ميو أس ال
+
+115
+00:13:23,660 --> 00:13:28,100
+أن اللي هي و كوصين التلاتين
+
+116
+00:13:32,630 --> 00:13:41,850
+نعود في المعادلة هذه عندي F اللي هي ال
+
+117
+00:13:41,850 --> 00:13:50,010
+F اللي هي يعني هنا هنختصر R مظبوط هنختصر R ال F
+
+118
+00:13:50,010 --> 00:13:55,470
+اللي هي هتكون Mus W
+
+119
+00:13:55,470 --> 00:13:59,690
+Cos التلاتين
+
+120
+00:14:04,030 --> 00:14:17,030
+بالساوة اتنين على خمسة W على G R
+
+121
+00:14:17,030 --> 00:14:20,230
+في الفة
+
+122
+00:14:34,260 --> 00:14:47,000
+يعني راح يكون عنده W مع W بس
+
+123
+00:14:47,000 --> 00:14:53,000
+random U S cosine
+
+124
+00:14:53,000 --> 00:14:56,900
+التلاتين
+
+125
+00:14:56,900 --> 00:15:00,720
+سوى اتنين على خمسة
+
+126
+00:15:05,860 --> 00:15:15,620
+R الف على جي هذه
+
+127
+00:15:15,620 --> 00:15:22,780
+المعادلة اتنين في معادلة اتنين كان عندي اللي هو F
+
+128
+00:15:22,780 --> 00:15:32,400
+بالساوية ال F بالساوية اللي
+
+129
+00:15:32,400 --> 00:15:43,740
+هو W على اتنينminus W على G في A برضه لو كان عندى
+
+130
+00:15:43,740 --> 00:15:53,940
+rolling هيكون عندى ال A ايش يساوي R في الف صح يعني
+
+131
+00:15:53,940 --> 00:15:57,580
+خلنا
+
+132
+00:15:57,580 --> 00:16:01,140
+نكتب المعادلات بشكل يعني عند المعادلة الأولى هي
+
+133
+00:16:01,140 --> 00:16:12,970
+أيش خلنا نكتبها بشكل تانيand اللي هو n وصوة وخصين
+
+134
+00:16:12,970 --> 00:16:21,050
+التلاتين هاي واحد المعادلة التانية اللي هي F وصوة
+
+135
+00:16:21,050 --> 00:16:33,210
+W على اتنين ناقص W على G خلّي زي ما هي في A هاي
+
+136
+00:16:33,210 --> 00:16:40,180
+المعادلة التانيةالمعادلة التالتة اللي هي F
+
+137
+00:16:40,180 --> 00:16:44,640
+بالساوية
+
+138
+00:16:44,640 --> 00:17:00,740
+اتنين على خمسة W على G R في ألفة انا حابب اكتب زيك
+
+139
+00:17:00,740 --> 00:17:02,280
+عشان أسرط بالافكار
+
+140
+00:17:04,970 --> 00:17:20,910
+المجهيل عنده عندي N الان و F و A و Alpha صح؟ الان
+
+141
+00:17:20,910 --> 00:17:24,250
+في علاقة اللي هي رابع انا أساسا رتب حتى تكون عندي
+
+142
+00:17:24,250 --> 00:17:32,310
+ال A بالسواء R في Alpha مظبوط؟
+
+143
+00:17:33,980 --> 00:17:41,480
+فعندي F with some US في
+
+144
+00:17:41,480 --> 00:17:46,080
+N هاي
+
+145
+00:17:46,080 --> 00:18:01,220
+أربعة و هاي خمسة يعني
+
+146
+00:18:01,220 --> 00:18:06,310
+اتنين بيساوي تلاتة صح؟يعني هالسرعية هيكون عندى W
+
+147
+00:18:06,310 --> 00:18:18,670
+على اتنين اول شي ناقص W على G في A بالساوية
+
+148
+00:18:18,670 --> 00:18:22,110
+اتنين
+
+149
+00:18:22,110 --> 00:18:35,420
+على خمسة W على G في R في Alpha كان A بالساوياتار
+
+150
+00:18:35,420 --> 00:18:43,300
+في ألف يعني هكون عندى هروح و صح بالأول و يعني نص
+
+151
+00:18:43,300 --> 00:18:56,200
+ناقص ر في ألف على ج ايش سوى اتنين في خمسة ر ألف
+
+152
+00:18:56,200 --> 00:19:06,640
+على ج هجيب هدع جهة التانية حبسة عندى نصبالساوية
+
+153
+00:19:06,640 --> 00:19:09,820
+يعني هاد هتكون خمسة على خمسة زي اتنين على خمسة
+
+154
+00:19:09,820 --> 00:19:22,460
+سبعة على خمسة R Alpha على G معناته Alpha ايش
+
+155
+00:19:22,460 --> 00:19:28,240
+بالساوية؟ خمسة
+
+156
+00:19:28,240 --> 00:19:31,880
+على اربعتاش
+
+157
+00:19:35,310 --> 00:19:44,950
+الـ G على R عرفنا إيش؟ الالفة خلاص، المعوض في
+
+158
+00:19:44,950 --> 00:19:50,530
+تلاتة تلتة من الأفة شو يساوي؟ ميو أس تلتة أف
+
+159
+00:19:50,530 --> 00:20:01,370
+بيساوي ميو أس ان، صح؟ بالساوية اتنين على خمسة W
+
+160
+00:20:01,370 --> 00:20:16,030
+على Gفى R فى Alpha خلّيها خمسة على اربعتاش G على R
+
+161
+00:20:16,030 --> 00:20:20,310
+بالظبط
+
+162
+00:20:20,310 --> 00:20:30,350
+فهنا نختصر يعني دهان G مع G صح؟ وخمسة مع خمسة R مع
+
+163
+00:20:30,350 --> 00:20:41,770
+R بنعود عن N U Scos mu s في w cos
+
+164
+00:20:41,770 --> 00:20:47,210
+التلاتين بالساوية
+
+165
+00:20:47,210 --> 00:20:59,510
+واحد على سبعة ال W صح؟ يعني هتروح W مناتم U S
+
+166
+00:20:59,510 --> 00:21:04,630
+Minimum Value U S هتكون الساوية
+
+167
+00:21:07,330 --> 00:21:12,310
+واحد على سبعة كوصين التلاتين واحد على سبعة كوصين
+
+168
+00:21:12,310 --> 00:21:25,610
+التلاتين تطلع point
+
+169
+00:21:25,610 --> 00:21:31,890
+واحد ستة اربع point واحد ستة اربع تسعة ستة اربع
+
+170
+00:21:31,890 --> 00:21:35,530
+يعني واحد ستة خمس اللي احكي had in US
+
+171
+00:21:49,720 --> 00:21:56,880
+طب بدي ال rest of g after the sphere has rolled 10
+
+172
+00:21:56,880 --> 00:22:02,240
+feet يعني هندرس الحركة بتجاه ال x axis اللي هو ال
+
+173
+00:22:02,240 --> 00:22:09,380
+motion motion along
+
+174
+00:22:09,380 --> 00:22:18,020
+ال x axis هيكون طبعا حركة فيها عندى عجلة هكون عند
+
+175
+00:22:18,020 --> 00:22:25,640
+Vso v node او
+
+176
+00:22:25,640 --> 00:22:37,920
+v تربيع so v node تربيع زاد a في delta x صح؟ 2a
+
+177
+00:22:37,920 --> 00:22:45,600
+طيب ال .. ال v node كانت السفر زاد
+
+178
+00:22:57,180 --> 00:23:02,720
+الاتنين ال a اللي هي عبارة عن ايش نحكيها ان ال a
+
+179
+00:23:02,720 --> 00:23:10,640
+بالصوة r في alpha صح؟ يعني هتكون .. هنضرب هذه في r
+
+180
+00:23:10,640 --> 00:23:16,020
+خمسة على اربعتاش ال
+
+181
+00:23:16,020 --> 00:23:24,480
+g يعني هتكون اتنين في خمسة على اربعتاشG اللي هي لو
+
+182
+00:23:24,480 --> 00:23:29,320
+انا اكيد تسعة فونت هينفوتر هحكي أنه اتنين و تلاتين
+
+183
+00:23:29,320 --> 00:23:37,080
+اتنين و تلاتين و اتنين من العشرة في العشرة قدم
+
+184
+00:23:37,080 --> 00:23:42,540
+اللي هي في ال delta X اللي هي عشرة و منها بحسب ال
+
+185
+00:23:42,540 --> 00:23:42,760
+V
+
+186
+00:23:51,940 --> 00:24:12,220
+15.165 15.165 طيب
+
+187
+00:24:12,220 --> 00:24:17,040
+هذا المطلوب التالت المطلوب التالت في list of g
+
+188
+00:24:20,510 --> 00:24:25,390
+if the sphere were to move ten feet down a
+
+189
+00:24:25,390 --> 00:24:30,670
+frictionless incline اذا كان مستوى مافيش احتكالات
+
+190
+00:24:30,670 --> 00:24:37,710
+معناته هتكون هتنزلق هتنزل انزلاق معناته هتكون في
+
+191
+00:24:37,710 --> 00:24:42,050
+الحالة هذه المعادلات نفسها يعني المعادلات نفسها
+
+192
+00:24:42,050 --> 00:24:45,070
+هتكون بس هتكون الحالة هذه ال F
+
+193
+00:24:50,260 --> 00:25:01,180
+ال F بالستوى تكون .. يعني لو أخدت ال forces احنا
+
+194
+00:25:01,180 --> 00:25:04,320
+.. احنا .. احنا خدنا امتجاه ال normal مظبوطة
+
+195
+00:25:04,320 --> 00:25:17,000
+باتجاه ال X برضه ايش مظبوطة ال moment نعم اه مافيش
+
+196
+00:25:17,000 --> 00:25:21,770
+ال F معناه تحسي .. المعادلة الأولىيعني المعادلة
+
+197
+00:25:21,770 --> 00:25:32,810
+هتخلنا نكتبها المعادلة
+
+198
+00:25:32,810 --> 00:25:40,010
+اللي هي N N بسوة W Cos 30 هيعني المعادلة هتكون N
+
+199
+00:25:40,010 --> 00:25:49,490
+بسوة W Cos 30 المعادلة
+
+200
+00:25:49,490 --> 00:25:59,490
+التانيةw sin 30 بساوة
+
+201
+00:25:59,490 --> 00:26:04,050
+w على g في
+
+202
+00:26:04,050 --> 00:26:10,390
+a يعني ال a بساوة
+
+203
+00:26:10,390 --> 00:26:16,030
+g sin 30 يعني
+
+204
+00:26:16,030 --> 00:26:21,730
+هتكوناللي هي هتكون اتنين و تلاتين و اتنين و عشرة
+
+205
+00:26:21,730 --> 00:26:30,790
+في نص يعني ستاش point واحد foot لكل second square
+
+206
+00:26:39,880 --> 00:26:43,160
+هن social mode حوالين جيه اللي انا بتساوي صفر
+
+207
+00:26:43,160 --> 00:26:51,840
+معناته الصفر بتكون تساوي I في الف صح؟ ال I مش صفر
+
+208
+00:26:51,840 --> 00:26:57,080
+اكيد يعني لو تال الف تساوي
+
+209
+00:26:57,080 --> 00:26:59,860
+صفر
+
+210
+00:27:09,040 --> 00:27:14,400
+معناته عندى هتكون نفس الاشي ال motion along ال x
+
+211
+00:27:14,400 --> 00:27:20,920
+axis اللى هى v square بيساوى v node square زي
+
+212
+00:27:20,920 --> 00:27:27,880
+اتنين a delta x هتكون عندى صفر زي اتنين في ستاش
+
+213
+00:27:27,880 --> 00:27:38,180
+point one في عشرة منها v بتطلع طبنتاش
+
+214
+00:27:45,880 --> 00:27:55,260
+طمنتاش؟ سبعتاش؟ foot per
+
+215
+00:27:55,260 --> 00:27:58,680
+second واضح
+
+216
+00:27:58,680 --> 00:28:04,820
+السرعة في الحالة التالية هتكون أسرع من حالة تتدحرش
+
+217
+00:28:04,820 --> 00:28:07,180
+في أي سؤال؟
+
+218
+00:28:15,750 --> 00:28:17,070
+نشوف مثال تاني
+
+219
+00:28:52,350 --> 00:28:56,410
+a cord is wrapped around the inner hub of a wheel
+
+220
+00:28:56,410 --> 00:29:05,030
+عندي عجل و فيله hub يعني فيه قطرين عندي القطر
+
+221
+00:29:05,030 --> 00:29:10,770
+الزغير اللي هو نص القطر ست ميلي و نص القطر الكبير
+
+222
+00:29:10,770 --> 00:29:17,590
+مية ملفوف حبل حوالين نص القطر الزغيرand pulled
+
+223
+00:29:17,590 --> 00:29:20,590
+horizontally with a force of two hundred Newton و
+
+224
+00:29:20,590 --> 00:29:29,130
+سحبه أفقيا بقوة قيمتها متين نيوتن ال wheel has a
+
+225
+00:29:29,130 --> 00:29:34,530
+mass of fifty kilogram ال wheel كتلتها ال mass
+
+226
+00:29:34,530 --> 00:29:40,050
+بالساعة خمسين كيلو جرام
+
+227
+00:29:43,670 --> 00:29:51,530
+and a radius of gyration of 70 millimeter كبساوة
+
+228
+00:29:51,530 --> 00:29:58,110
+سبعين millimeter knowing
+
+229
+00:29:58,110 --> 00:30:03,450
+that معطين معامل احتكاك الاستاتيكي معامل احتكاك ال
+
+230
+00:30:03,450 --> 00:30:10,070
+dynamic mu s بساوة اتنين من عشرة on mu k
+
+231
+00:30:13,050 --> 00:30:20,010
+point واحد خمسة determine
+
+232
+00:30:20,010 --> 00:30:25,410
+the acceleration of G او دي ال acceleration لمركز
+
+233
+00:30:25,410 --> 00:30:32,470
+الثقة الجي و العجل الزاوية للدولاب طبعا انا حرصهم
+
+234
+00:30:32,470 --> 00:30:33,150
+في free body diagram
+
+235
+00:30:43,780 --> 00:30:47,500
+الان ال wheel ايش ال force بتأثر عليها؟ في عندي ال
+
+236
+00:30:47,500 --> 00:30:55,220
+force اللي هي متين نيوتن وفي
+
+237
+00:30:55,220 --> 00:30:59,020
+الوزن اللي
+
+238
+00:30:59,020 --> 00:31:07,660
+هي MG وفي رد الفعل العمودي N وفي الاحتكاك
+
+239
+00:31:11,150 --> 00:31:19,870
+F فى الفكرة اللى عندى F لان نتيجة هذه ال forces
+
+240
+00:31:19,870 --> 00:31:30,090
+هسير
+
+241
+00:31:30,090 --> 00:31:36,230
+عندى لمركز ثقل M فى A
+
+242
+00:31:45,540 --> 00:31:50,740
+و I في
+
+243
+00:31:50,740 --> 00:31:58,300
+Alpha هاي
+
+244
+00:31:58,300 --> 00:32:01,780
+ال X هاي ال Y
+
+245
+00:32:05,470 --> 00:32:09,670
+هل انا .. هل انا عارف انه هيكون في عندى .. هتكون
+
+246
+00:32:09,670 --> 00:32:15,110
+pure rolling و لا pure sliding و لا rolling مع
+
+247
+00:32:15,110 --> 00:32:20,910
+sliding مش عارفين طب إيش هنسويه؟ لأ يا بالاش
+
+248
+00:32:20,910 --> 00:32:25,970
+الفرضيات اللي هنسويها يعني ده في تقريد انه عندى
+
+249
+00:32:25,970 --> 00:32:28,530
+pure rolling بعدين بشوف إيش بيطلع معاه يعني assume
+
+250
+00:32:37,350 --> 00:32:44,330
+fewer rolling motion
+
+251
+00:32:44,330 --> 00:32:48,550
+الحالة
+
+252
+00:32:48,550 --> 00:32:57,250
+دي ال a و ال alpha related صح طيب لان هناخد
+
+253
+00:32:57,250 --> 00:33:01,630
+summation of forces باتجاه
+
+254
+00:33:01,630 --> 00:33:02,030
+ال y
+
+255
+00:33:04,950 --> 00:33:16,270
+هتكون السوياش صفر في الحالة هذه هتساوي N minus MG
+
+256
+00:33:16,270 --> 00:33:22,990
+يعني ال N هتساوي
+
+257
+00:33:22,990 --> 00:33:27,790
+MG هاي
+
+258
+00:33:27,790 --> 00:33:28,230
+واحد
+
+259
+00:33:34,990 --> 00:33:40,630
+ممكن اخد ال summation لل forces باتجاه
+
+260
+00:33:40,630 --> 00:33:43,870
+ال X
+
+261
+00:33:43,870 --> 00:33:48,250
+سواء
+
+262
+00:33:48,250 --> 00:33:57,350
+في يعني هكون 200 minus F
+
+263
+00:34:02,330 --> 00:34:05,270
+ال F عشان يكون فى الصورة ال F إذا عندى P-rolling
+
+264
+00:34:05,270 --> 00:34:11,050
+هتكون ال F أقل يعني إذا .. إذا هذا كلام صح هتكون
+
+265
+00:34:11,050 --> 00:34:19,070
+ال F U S فأن لازم يكون ذلك إذا كان الكلام صح هتكون
+
+266
+00:34:19,070 --> 00:34:29,670
+ال 200 ناقص F بتساوي M
+
+267
+00:34:29,670 --> 00:34:30,910
+في هذه المعادلة
+
+268
+00:34:45,700 --> 00:34:51,100
+التانية ال summation لل .. ناخد ال moment حوالين
+
+269
+00:34:51,100 --> 00:34:59,420
+جيه ال summation للمoment حوالين جيه خلنا نعتبر
+
+270
+00:34:59,420 --> 00:35:00,080
+هذا موجب
+
+271
+00:35:03,150 --> 00:35:07,930
+هتكون تساوي I في
+
+272
+00:35:07,930 --> 00:35:16,550
+الف هاطرع ال N و ال G هتكون دي 200 فى 60 اللى هى
+
+273
+00:35:16,550 --> 00:35:20,330
+200 فى
+
+274
+00:35:20,330 --> 00:35:28,370
+point O6 minus point 1F بتساوي
+
+275
+00:35:31,230 --> 00:35:34,550
+هو على اي حال هو معطين ال res جاي رياشين المعنى ان
+
+276
+00:35:34,550 --> 00:35:42,370
+انا ممكن احسب ال I صح ال I ايش الساوي M K تربيع صح
+
+277
+00:35:42,370 --> 00:35:50,190
+يعني هتكون الساوي ال M اللي عندي خمسين في ال K
+
+278
+00:35:50,190 --> 00:35:57,610
+اللي هي point O سبعة تربيع سفر
+
+279
+00:36:05,060 --> 00:36:14,420
+يعني ماتين و اربع و خمسين؟ كيلو
+
+280
+00:36:14,420 --> 00:36:19,260
+جرام؟ نعم كيلو خمس و اربعين
+
+281
+00:36:35,520 --> 00:36:52,880
+بساوة I في Alpha هذه المعادلة تلاتة مانفعش
+
+282
+00:36:52,880 --> 00:36:58,700
+احكي F بساوة ميو ميو في اسفل او ميو كفان ان انا
+
+283
+00:36:58,700 --> 00:37:05,700
+احسبها الان عندي مجهولال A شو الساوية عنده؟ ال A
+
+284
+00:37:05,700 --> 00:37:09,940
+بالحالة إذا كانت هذه في rolling motion بالساوية R
+
+285
+00:37:09,940 --> 00:37:18,580
+في Alpha ال A بالساوية R في Alpha يعني
+
+286
+00:37:18,580 --> 00:37:20,140
+هذه المعادلة الرابعة صح؟
+
+287
+00:37:28,560 --> 00:37:34,500
+لأن هاي عندي A و F و Alpha بدي كمان معادلة هي هذي
+
+288
+00:37:34,500 --> 00:37:46,840
+يعني هين هنعوض هيكون عندي هين 200 minus F بالساوية
+
+289
+00:37:46,840 --> 00:37:55,280
+M اللي هي R F الساوية اللي هي point one صح؟ هذي
+
+290
+00:37:55,280 --> 00:37:55,760
+point one
+
+291
+00:37:58,800 --> 00:38:08,620
+فى alpha خنعوض عن اللام اللى هى خمسين فى
+
+292
+00:38:08,620 --> 00:38:12,000
+ال a اللى هى r اللى هى r alpha اللى هى point واحد
+
+293
+00:38:12,000 --> 00:38:17,900
+الفة
+
+294
+00:38:17,900 --> 00:38:27,560
+يعني هتكون عندى متين minus F بالسواء خمسة الفة
+
+295
+00:38:29,190 --> 00:38:33,330
+المعادة رقم تلاتة عندي متين في point o6 كم بيصير
+
+296
+00:38:33,330 --> 00:38:40,250
+يعني متين اتناش
+
+297
+00:38:40,250 --> 00:38:50,590
+اتناش ناقص point واحد اف اي اللي هي point اتنين
+
+298
+00:38:50,590 --> 00:38:55,110
+اربعة خمسة الف
+
+299
+00:38:58,590 --> 00:39:05,870
+ممكن اقسم المعادلة هذه على هذه صح بتروح عند ايش ال
+
+300
+00:39:05,870 --> 00:39:12,690
+alpha يعني هيكون عنده متين minus
+
+301
+00:39:12,690 --> 00:39:21,630
+F على اتناش ناقص point واحد F بيستخدم خمسة point
+
+302
+00:39:21,630 --> 00:39:22,890
+اتنين اربعة خمسة
+
+303
+00:39:28,020 --> 00:39:33,920
+خلنا نحكي خمسة على point اتنين اربعة خمسة زي ما هي
+
+304
+00:39:33,920 --> 00:39:42,160
+نخليها يعني هنقدر نعمل cross هكون عندي متين اكم
+
+305
+00:39:42,160 --> 00:39:48,920
+بطلع تسعة و اربعين minus
+
+306
+00:39:48,920 --> 00:39:56,240
+point اتنين اربعة خمسة F بالساوية ستين
+
+307
+00:39:59,320 --> 00:40:12,620
+minus نص F يعني هنجيب هذه هنا وهذه
+
+308
+00:40:12,620 --> 00:40:19,080
+هنجيبها هنا صح؟
+
+309
+00:40:19,080 --> 00:40:21,240
+تطلع ال F عنده
+
+310
+00:40:33,240 --> 00:40:37,080
+الـ minus الله صح؟
+
+311
+00:40:37,080 --> 00:40:40,320
+أكام؟
+
+312
+00:40:40,320 --> 00:40:51,090
+غلط لأن عندك نص يعني .. يعنياه لأ بتطلع بال ..
+
+313
+00:40:51,090 --> 00:40:54,410
+بتطلع بال .. بال .. بالموجب لإن هو التساريح احداش
+
+314
+00:40:54,410 --> 00:41:01,930
+.. احداش على اقسم minus minus وروح minus minus
+
+315
+00:41:01,930 --> 00:41:08,930
+وروح عندك احداش على المص يكون عندك مص دماغك ربع
+
+316
+00:41:08,930 --> 00:41:15,070
+كام؟ ربع؟ تلات
+
+317
+00:41:15,070 --> 00:41:26,550
+و أربعين؟ تلات و أربعين؟بونت واحد اربعة نيوتن طب
+
+318
+00:41:26,550 --> 00:41:32,530
+ال US انه كم بالساوية ال
+
+319
+00:41:32,530 --> 00:41:38,790
+US اللي هي point اتنين point
+
+320
+00:41:38,790 --> 00:41:46,990
+اتنين في ال N عندي اللي هي MG في خمسين في
+
+321
+00:41:51,620 --> 00:42:00,560
+الجيل هي تسعة point تمانية سفر ستة
+
+322
+00:42:00,560 --> 00:42:08,160
+تمانية تسعين نوتو
+
+323
+00:42:08,160 --> 00:42:12,420
+بس خلّيني اعاد الارقام او المعادلات عند summation
+
+324
+00:42:12,420 --> 00:42:17,410
+of forces سواء سفر سواء N minus MG صحيحالمعادلة
+
+325
+00:42:17,410 --> 00:42:21,670
+التانية summation of force بتجاه ال X بيستوى 200
+
+326
+00:42:21,670 --> 00:42:29,030
+minus F بيستوى M في A المعادلة التانية summation
+
+327
+00:42:29,030 --> 00:42:38,490
+لل moment حوالين ال G بيستوى I في Alpha هيكون 200
+
+328
+00:42:41,420 --> 00:42:46,180
+هذه 200 في المسافة هذي كم؟ ستين في point O ستة
+
+329
+00:42:46,180 --> 00:42:51,760
+minus هذي مية يعني point one minus point one في F
+
+330
+00:42:51,760 --> 00:42:58,980
+بيستو I في الف المعادلة صحيحة لإن ال I بيستو M K
+
+331
+00:42:58,980 --> 00:43:04,720
+square ال M عندي اللي هي خمسين في point O سبعة
+
+332
+00:43:04,720 --> 00:43:10,680
+يعني خمسة و سبعة خمسين في تسعة و اربعين على عشر
+
+333
+00:43:10,680 --> 00:43:11,140
+تلاف
+
+334
+00:43:14,450 --> 00:43:20,350
+أكم تطلع؟ يعني .. يعني أكم تطلع point اتنين اربعة
+
+335
+00:43:20,350 --> 00:43:25,510
+و خمسون صح الرقم هذا؟ طيب بعدين احنا حكينا A
+
+336
+00:43:25,510 --> 00:43:31,890
+بالساوية R في ألفة ال R عندنا أكم؟ مية يعني point
+
+337
+00:43:31,890 --> 00:43:37,890
+one يعني ال A بالساوية
+
+338
+00:43:37,890 --> 00:43:45,740
+point oneفى Alpha بعدين رح نعوضنا فى المعادلة هذه
+
+339
+00:43:45,740 --> 00:43:53,940
+اللى هى 200 ناقص F بالساوى اللى هى point one Alpha
+
+340
+00:43:53,940 --> 00:43:59,540
+فى الخمسين يعنى خمسة Alpha بعدين فى المعادلة هذه
+
+341
+00:43:59,540 --> 00:44:06,980
+اللى هى 200 فى ستة عالمية اللى هى ستة فى اتنين ايه
+
+342
+00:44:06,980 --> 00:44:15,410
+اكم ستة 200 فى ستة عالميةيعني مية مع مية ستة اتنين
+
+343
+00:44:15,410 --> 00:44:20,190
+اتناش ناقص point one الفة بالثوائي اللي هي point
+
+344
+00:44:20,190 --> 00:44:25,730
+اتنين اربع خمسة في الفة بعدين قسمنا هذا ديمتين
+
+345
+00:44:25,730 --> 00:44:29,510
+minus F هذا المعادلة اهد المعادلة بس ان ديمتين
+
+346
+00:44:29,510 --> 00:44:34,080
+ناقص Fعلى اتناف ناقص point واحد F بيساوي خمسة على
+
+347
+00:44:34,080 --> 00:44:38,260
+point اتنين اربعة خمسة بعدين ضربنا متين في point
+
+348
+00:44:38,260 --> 00:44:42,900
+اتنين اربعة خمسة اللي هي التسعة واربعين ناقص point
+
+349
+00:44:42,900 --> 00:44:50,300
+اتنين اربعة خمسة F بيساوي ستين ناقص نص F بعدين هاد
+
+350
+00:44:50,300 --> 00:44:54,780
+جيبناها هين صارت بال plus و جيبناها ده بيصير بال
+
+351
+00:44:54,780 --> 00:45:00,190
+minus يعني بيصير minus minus فبسينا دي احداشبس
+
+352
+00:45:00,190 --> 00:45:03,830
+ساوى أكم؟
+
+353
+00:45:03,830 --> 00:45:07,490
+أكم؟
+
+354
+00:45:07,490 --> 00:45:15,950
+يعني هتكون متين و خمس و خمسين صح؟ يعني هتكون احداش
+
+355
+00:45:15,950 --> 00:45:21,490
+على point اتنين خمسة خمسة اللي هي تقريبا اللقم صح
+
+356
+00:45:21,490 --> 00:45:26,930
+تلات و اربعين تلات و اربعين الآن عند ال F
+
+357
+00:45:30,550 --> 00:45:43,450
+أقل من musn هنعطي ال assumption بتاعنا صحيح
+
+358
+00:45:43,450 --> 00:45:46,510
+لو
+
+359
+00:45:46,510 --> 00:45:52,650
+كان مش صح لو كان مش صح يعني المقول هو يطلع أقل أو
+
+360
+00:45:52,650 --> 00:45:59,890
+يساوي من musn إذا طلع أكبرمعناته في عنده rolling و
+
+361
+00:45:59,890 --> 00:46:02,650
+sliding في الحالة هذه اللي بختلف انه بروح بحكي انه
+
+362
+00:46:02,650 --> 00:46:14,230
+F if ال F طلعت أكبر من U S N معناته في عنده
+
+363
+00:46:14,230 --> 00:46:18,990
+rolling and
+
+364
+00:46:18,990 --> 00:46:24,550
+sliding و
+
+365
+00:46:24,550 --> 00:46:30,580
+ال A and Alphaفي الحالات بيقولوا are independent
+
+366
+00:46:30,580 --> 00:46:34,060
+وفي
+
+367
+00:46:34,060 --> 00:46:40,240
+الحالات بحكي F بالساوية ميو كي
+
+368
+00:46:40,240 --> 00:46:44,160
+فان بعود مباشرة في المعادلات F بالساوية ميو كي فان
+
+369
+00:46:44,160 --> 00:46:47,360
+ومنها بكمل الحسابات
+
+370
+00:46:57,300 --> 00:47:07,200
+طبعا الان ال F انعرفت بعوض هنا حاسب عنده متين
+
+371
+00:47:07,200 --> 00:47:14,440
+مينس سلاتة وأربعين واربعتاش سواء خمسة ألف خمسة
+
+372
+00:47:14,440 --> 00:47:18,540
+ألفة ومنها بحسب H
+
+373
+00:47:28,520 --> 00:47:34,420
+و ال a التي هي point واحد في الف التي هي واحد
+
+374
+00:47:34,420 --> 00:47:41,420
+تلاتين التي هي تلاتة point واحد تلاتة سبعة اللي هو
+
+375
+00:47:41,420 --> 00:47:51,060
+متر per second squared في
+
+376
+00:47:51,060 --> 00:47:54,860
+أي سؤال؟ هيك يكون خلصنا شبطر
+
+377
+00:47:58,750 --> 00:48:03,890
+ستاش حاضر أجاي نبدأ شهر سبعتاش اللي هو بكرا
+
+378
+00:48:03,890 --> 00:48:05,330
+أعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/2KHe79d7FRU_raw.json b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/2KHe79d7FRU_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..cce83fe023c823ccca1f6becd6c07b5de97fa580
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/2KHe79d7FRU_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2768, "start": 5.2, "end": 27.68, "text": "بسم الله الرحمن الرحيم السلام عليكم ورحمة الله وبركاته دي هنكمل في ال constraint plan motion هنحكي عن ال rolling motion rolling motion يعني حركة تدحرجية بدون انزلاق مثال على اللي احنا شايفينه في عندى ال desk", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 11778, 1829, 8032, 1863, 24793, 1211, 8978, 2423, 25534, 1393, 5394, 8032, 1863, 5016, 4117, 1829, 18871, 2423, 9439, 5394, 9439, 5394, 37495, 22653, 11331, 31747, 3660, 6055, 3215, 5016, 47341, 10632, 47525, 11536, 16472, 11622, 15040, 4587, 50113, 6027, 15844, 13672, 1829, 1975, 5016, 8315, 13412, 995, 33911, 9957, 3224, 8978, 43242, 7578, 2423, 10026], "avg_logprob": -0.12089843722060323, "compression_ratio": 1.7083333333333333, "no_speech_prob": 0.0, "words": [{"start": 5.2, "end": 5.72, "word": "بسم", "probability": 0.714599609375}, 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اللى هو وزنه رد الفعل العمودي و في force خارجية P و في friction force F", "tokens": [2407, 8978, 43242, 7578, 2423, 3753, 23032, 3555, 3615, 995, 8978, 49374, 2423, 3753, 4032, 2423, 10026, 8978, 1975, 33753, 4117, 995, 4117, 2423, 3464, 13672, 7578, 39894, 10721, 49115, 15844, 2423, 10026, 13672, 7578, 31439, 4032, 11622, 1863, 3224, 12602, 3215, 27188, 30241, 18863, 2304, 2407, 16254, 4032, 8978, 3464, 16490, 9640, 7435, 10632, 430, 4032, 8978, 17710, 3464, 479], "avg_logprob": -0.09664818572421227, "compression_ratio": 1.5625, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 29.61, "end": 29.79, "word": "و", "probability": 0.86083984375}, {"start": 29.79, "end": 29.99, "word": " في", "probability": 0.404296875}, {"start": 29.99, "end": 30.39, "word": " عندى", "probability": 0.83447265625}, {"start": 30.39, "end": 30.47, "word": " ال", "probability": 0.69091796875}, {"start": 30.47, "end": 30.93, "word": " surface", "probability": 0.8916015625}, {"start": 30.93, "end": 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the acceleration of G او دي ال acceleration لمركز الثقة الجي و العجل الزاوية للدولاب طبعا انا حرصهم في free body diagram", "tokens": [6053, 36764, 24401, 16490, 2304, 3794, 3660, 6997, 264, 17162, 295, 460, 1975, 2407, 11778, 1829, 2423, 17162, 5296, 29973, 4117, 11622, 6024, 104, 28671, 25724, 1829, 4032, 18863, 7435, 1211, 6024, 110, 995, 2407, 10632, 24976, 3215, 12610, 16758, 23032, 3555, 3615, 995, 1975, 8315, 11331, 2288, 9381, 16095, 8978, 1737, 1772, 10686], "avg_logprob": -0.3326704437082464, "compression_ratio": 1.3248407643312101, "no_speech_prob": 0.0, "words": [{"start": 1813.05, "end": 1813.43, "word": "point", "probability": 0.415283203125}, {"start": 1813.43, "end": 1813.71, "word": " واحد", "probability": 0.80615234375}, {"start": 1813.71, "end": 1814.41, "word": " خمسة", "probability": 0.91162109375}, {"start": 1814.41, "end": 1820.01, "word": " determine", "probability": 0.336181640625}, {"start": 1820.01, "end": 1820.29, "word": " the", "probability": 0.7138671875}, 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انا .. هل انا عارف انه هيكون في عندى .. هتكون pure rolling و لا pure sliding و لا rolling مع sliding مش عارفين طب إيش هنسويه؟ لأ يا بالاش الفرضيات اللي هنسويها يعني ده في تقريد انه عندى pure rolling بعدين بشوف إيش بيطلع معاه يعني assume", "tokens": [3224, 1211, 1975, 8315, 4386, 8032, 1211, 1975, 8315, 6225, 9640, 5172, 16472, 3224, 39896, 30544, 8978, 43242, 7578, 4386, 8032, 2655, 30544, 6075, 9439, 4032, 20193, 6075, 21169, 4032, 20193, 9439, 20449, 21169, 37893, 6225, 9640, 5172, 9957, 23032, 3555, 11933, 1829, 8592, 8032, 1863, 3794, 45865, 3224, 22807, 5296, 10721, 35186, 20666, 33599, 27188, 43042, 1829, 9307, 13672, 1829, 8032, 1863, 3794, 45865, 11296, 37495, 22653, 11778, 3224, 8978, 6055, 4587, 16572, 3215, 16472, 3224, 43242, 7578, 6075, 9439, 39182, 9957, 4724, 8592, 38688, 11933, 1829, 8592, 4724, 1829, 9566, 1211, 3615, 20449, 40294, 37495, 22653, 6552], "avg_logprob": -0.22749999448657035, "compression_ratio": 1.8195121951219513, "no_speech_prob": 0.0, "words": 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احداش على point اتنين خمسة خمسة اللي هي تقريبا اللقم صح تلات و اربعين تلات و اربعين الآن عند ال F", "tokens": [3555, 3794, 8608, 995, 2407, 7578, 5551, 24793, 22807, 5551, 24793, 22807, 37495, 22653, 8032, 2655, 30544, 44650, 9957, 4032, 16490, 2304, 3794, 4032, 16490, 2304, 3794, 9957, 20328, 5016, 22807, 37495, 22653, 8032, 2655, 30544, 1975, 24401, 33599, 15844, 935, 1975, 2655, 1863, 9957, 16490, 2304, 3794, 3660, 16490, 2304, 3794, 3660, 13672, 1829, 39896, 6055, 4587, 16572, 3555, 995, 13672, 4587, 2304, 20328, 5016, 6055, 1211, 9307, 4032, 1975, 25513, 3615, 9957, 6055, 1211, 9307, 4032, 1975, 25513, 3615, 9957, 6024, 48506, 43242, 2423, 479], "avg_logprob": -0.2311789742247625, "compression_ratio": 1.8543046357615893, "no_speech_prob": 0.0, "words": [{"start": 2699.73, "end": 2700.19, "word": "بس", "probability": 0.734375}, {"start": 2700.19, "end": 2700.43, "word": " ساوى", "probability": 0.64813232421875}, {"start": 2700.43, "end": 2703.83, "word": " أكم؟", "probability": 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"probability": 0.7138671875}, {"start": 2778.99, "end": 2781.35, "word": " sliding", "probability": 0.9765625}, {"start": 2781.35, "end": 2784.55, "word": " و", "probability": 0.5458984375}, {"start": 2784.55, "end": 2784.73, "word": " ال", "probability": 0.9306640625}, {"start": 2784.73, "end": 2785.05, "word": " A", "probability": 0.9248046875}, {"start": 2785.05, "end": 2786.81, "word": " and", "probability": 0.96142578125}, {"start": 2786.81, "end": 2787.37, "word": " Alpha", "probability": 0.48828125}], "temperature": 1.0}, {"id": 99, "seek": 280736, "start": 2788.96, "end": 2807.36, "text": "في الحالات بيقولوا are independent وفي الحالات بحكي F بالساوية ميو كي فان بعود مباشرة في المعادلات F بالساوية ميو كي فان ومنها بكمل الحسابات", "tokens": [41185, 21542, 6027, 9307, 4724, 1829, 39648, 14407, 366, 6695, 4032, 41185, 21542, 6027, 9307, 4724, 5016, 4117, 1829, 479, 20666, 3794, 995, 2407, 10632, 3714, 1829, 2407, 9122, 1829, 6156, 7649, 4724, 3615, 23328, 3714, 3555, 33599, 25720, 8978, 9673, 3615, 18513, 1211, 9307, 479, 20666, 3794, 995, 2407, 10632, 3714, 1829, 2407, 9122, 1829, 6156, 7649, 4032, 27842, 11296, 4724, 24793, 1211, 21542, 3794, 16758, 9307], "avg_logprob": -0.27173912525177, "compression_ratio": 1.7266187050359711, "no_speech_prob": 2.980232238769531e-07, "words": [{"start": 2788.96, "end": 2789.14, "word": "في", "probability": 0.297119140625}, {"start": 2789.14, "end": 2789.44, "word": " الحالات", "probability": 0.7918294270833334}, {"start": 2789.44, "end": 2789.74, "word": " بيقولوا", "probability": 0.721923828125}, {"start": 2789.74, "end": 2789.94, "word": " are", "probability": 0.5810546875}, {"start": 2789.94, "end": 2790.58, "word": " independent", "probability": 0.93408203125}, {"start": 2790.58, "end": 2794.06, "word": " وفي", "probability": 0.552734375}, {"start": 2794.06, "end": 2794.32, "word": " الحالات", "probability": 0.96630859375}, {"start": 2794.32, "end": 2794.58, "word": " بحكي", "probability": 0.931884765625}, {"start": 2794.58, "end": 2794.86, "word": " F", "probability": 0.6201171875}, {"start": 2794.86, "end": 2796.68, "word": " بالساوية", "probability": 0.681640625}, {"start": 2796.68, "end": 2797.12, "word": " ميو", "probability": 0.4584147135416667}, {"start": 2797.12, "end": 2800.24, "word": " كي", "probability": 0.83056640625}, {"start": 2800.24, "end": 2800.56, "word": " فان", "probability": 0.3975830078125}, {"start": 2800.56, "end": 2801.42, "word": " بعود", "probability": 0.72705078125}, {"start": 2801.42, "end": 2801.94, "word": " مباشرة", "probability": 0.9805908203125}, {"start": 2801.94, "end": 2802.1, "word": " في", "probability": 0.8857421875}, {"start": 2802.1, "end": 2802.68, "word": " المعادلات", "probability": 0.95712890625}, {"start": 2802.68, "end": 2802.98, "word": " F", "probability": 0.29345703125}, {"start": 2802.98, "end": 2803.24, "word": " بالساوية", "probability": 0.83623046875}, {"start": 2803.24, "end": 2803.48, "word": " ميو", "probability": 0.9744466145833334}, {"start": 2803.48, "end": 2803.74, "word": " كي", "probability": 0.957763671875}, {"start": 2803.74, "end": 2804.16, "word": " فان", "probability": 0.96337890625}, {"start": 2804.16, "end": 2806.02, "word": " ومنها", "probability": 0.8235677083333334}, {"start": 2806.02, "end": 2806.9, "word": " بكمل", "probability": 0.8888346354166666}, {"start": 2806.9, "end": 2807.36, "word": " الحسابات", "probability": 0.89013671875}], "temperature": 1.0}, {"id": 100, "seek": 283854, "start": 2817.3, "end": 2838.54, "text": "طبعا الان ال F انعرفت بعوض هنا حاسب عنده متين مينس سلاتة وأربعين واربعتاش سواء خمسة ألف خمسة ألفة ومنها بحسب H", "tokens": [9566, 3555, 3615, 995, 2423, 7649, 2423, 479, 16472, 3615, 28480, 2655, 45030, 2407, 11242, 34105, 11331, 32277, 3555, 43242, 3224, 44650, 9957, 3714, 9957, 3794, 8608, 1211, 9307, 3660, 36725, 25513, 3615, 9957, 4032, 9640, 3555, 34268, 33599, 8608, 2407, 16606, 16490, 2304, 3794, 3660, 5551, 46538, 16490, 2304, 3794, 3660, 5551, 46538, 3660, 4032, 27842, 11296, 4724, 5016, 35457, 389], "avg_logprob": -0.32589285430454074, "compression_ratio": 1.5390625, "no_speech_prob": 0.0, "words": [{"start": 2817.3, "end": 2817.76, "word": "طبعا", "probability": 0.9764404296875}, {"start": 2817.76, "end": 2818.26, "word": " الان", "probability": 0.5712890625}, {"start": 2818.26, "end": 2818.42, "word": " ال", "probability": 0.79345703125}, {"start": 2818.42, "end": 2818.6, "word": " F", "probability": 0.67138671875}, {"start": 2818.6, "end": 2819.4, "word": " انعرفت", "probability": 0.8216552734375}, {"start": 2819.4, "end": 2822.36, "word": " بعوض", "probability": 0.8068033854166666}, {"start": 2822.36, "end": 2822.68, "word": " هنا", "probability": 0.546875}, {"start": 2822.68, "end": 2823.16, "word": " حاسب", "probability": 0.5010172526041666}, {"start": 2823.16, "end": 2823.58, "word": " عنده", "probability": 0.729736328125}, {"start": 2823.58, "end": 2827.2, "word": " متين", "probability": 0.6082763671875}, {"start": 2827.2, "end": 2828.92, "word": " مينس", "probability": 0.5388997395833334}, {"start": 2828.92, "end": 2829.3, "word": " سلاتة", "probability": 0.7322998046875}, {"start": 2829.3, "end": 2829.76, "word": " وأربعين", "probability": 0.80853271484375}, {"start": 2829.76, "end": 2830.92, "word": " واربعتاش", "probability": 0.77587890625}, {"start": 2830.92, "end": 2832.98, "word": " سواء", "probability": 0.587646484375}, {"start": 2832.98, "end": 2833.4, "word": " خمسة", "probability": 0.8885498046875}, {"start": 2833.4, "end": 2833.7, "word": " ألف", "probability": 0.849609375}, {"start": 2833.7, "end": 2834.44, "word": " خمسة", "probability": 0.87890625}, {"start": 2834.44, "end": 2835.7, "word": " ألفة", "probability": 0.9270833333333334}, {"start": 2835.7, "end": 2837.82, "word": " ومنها", "probability": 0.8372395833333334}, {"start": 2837.82, "end": 2838.2, "word": " بحسب", "probability": 0.9817708333333334}, {"start": 2838.2, "end": 2838.54, "word": " H", "probability": 0.2529296875}], "temperature": 1.0}, {"id": 101, "seek": 287486, "start": 2848.52, "end": 2874.86, "text": "و ال a التي هي point واحد في الف التي هي واحد تلاتين التي هي تلاتة point واحد تلاتة سبعة اللي هو متر per second squared في أي سؤال؟ هيك يكون خلصنا شبطر", "tokens": [2407, 2423, 257, 38392, 39896, 935, 36764, 24401, 8978, 27188, 38392, 39896, 36764, 24401, 6055, 1211, 9307, 9957, 38392, 39896, 6055, 1211, 9307, 3660, 935, 36764, 24401, 6055, 1211, 9307, 3660, 8608, 3555, 27884, 13672, 1829, 31439, 44650, 2288, 680, 1150, 8889, 8978, 36632, 8608, 33604, 6027, 22807, 39896, 4117, 7251, 30544, 16490, 1211, 9381, 8315, 13412, 3555, 9566, 2288], "avg_logprob": -0.34836064596645167, "compression_ratio": 1.653061224489796, "no_speech_prob": 0.0, "words": [{"start": 2848.52, "end": 2848.76, "word": "و", "probability": 0.74951171875}, {"start": 2848.76, "end": 2848.94, "word": " ال", "probability": 0.39501953125}, {"start": 2848.94, "end": 2849.24, "word": " a", "probability": 0.42041015625}, {"start": 2849.24, "end": 2850.54, "word": " التي", "probability": 0.12359619140625}, {"start": 2850.54, "end": 2850.72, "word": " هي", "probability": 0.64306640625}, {"start": 2850.72, "end": 2851.26, "word": " point", "probability": 0.281005859375}, {"start": 2851.26, "end": 2851.86, "word": " واحد", "probability": 0.90380859375}, {"start": 2851.86, "end": 2853.64, "word": " في", "probability": 0.59912109375}, {"start": 2853.64, "end": 2853.94, "word": " الف", "probability": 0.61865234375}, {"start": 2853.94, "end": 2854.1, "word": " التي", "probability": 0.21923828125}, {"start": 2854.1, "end": 2854.22, "word": " هي", "probability": 0.90771484375}, {"start": 2854.22, "end": 2854.42, "word": " واحد", "probability": 0.900390625}, {"start": 2854.42, "end": 2854.94, "word": " تلاتين", "probability": 0.8360595703125}, {"start": 2854.94, "end": 2857.32, "word": " التي", "probability": 0.3759765625}, {"start": 2857.32, "end": 2857.46, "word": " هي", "probability": 0.82568359375}, {"start": 2857.46, "end": 2858.0, "word": " تلاتة", "probability": 0.8765869140625}, {"start": 2858.0, "end": 2858.3, "word": " point", "probability": 0.94677734375}, {"start": 2858.3, "end": 2858.82, "word": " واحد", "probability": 0.93408203125}, {"start": 2858.82, "end": 2859.44, "word": " تلاتة", "probability": 0.9307861328125}, {"start": 2859.44, "end": 2860.12, "word": " سبعة", "probability": 0.9241536458333334}, {"start": 2860.12, "end": 2861.26, "word": " اللي", "probability": 0.5706787109375}, {"start": 2861.26, "end": 2861.42, "word": " هو", "probability": 0.9521484375}, {"start": 2861.42, "end": 2862.56, "word": " متر", "probability": 0.78173828125}, {"start": 2862.56, "end": 2864.16, "word": " per", "probability": 0.65869140625}, {"start": 2864.16, "end": 2864.56, "word": " second", "probability": 0.93115234375}, {"start": 2864.56, "end": 2867.46, "word": " squared", "probability": 0.355712890625}, {"start": 2867.46, "end": 2871.06, "word": " في", "probability": 0.335693359375}, {"start": 2871.06, "end": 2871.14, "word": " أي", "probability": 0.49169921875}, {"start": 2871.14, "end": 2872.24, "word": " سؤال؟", "probability": 0.875732421875}, {"start": 2872.24, "end": 2873.74, "word": " هيك", "probability": 0.77099609375}, {"start": 2873.74, "end": 2873.92, "word": " يكون", "probability": 0.701904296875}, {"start": 2873.92, "end": 2874.4, "word": " خلصنا", "probability": 0.9312744140625}, {"start": 2874.4, "end": 2874.86, "word": " شبطر", "probability": 0.7542724609375}], "temperature": 1.0}, {"id": 102, "seek": 288533, "start": 2878.75, "end": 2885.33, "text": "ستاش حاضر أجاي نبدأ شهر سبعتاش اللي هو بكرا أعطيكوا العافية", "tokens": [14851, 33599, 11331, 46958, 2288, 5551, 7435, 47302, 8717, 44510, 10721, 13412, 3224, 2288, 8608, 3555, 34268, 33599, 13672, 1829, 31439, 4724, 4117, 23557, 5551, 3615, 9566, 1829, 4117, 14407, 18863, 31845, 10632], "avg_logprob": -0.3598345483050627, "compression_ratio": 1.2413793103448276, "no_speech_prob": 0.0, "words": [{"start": 2878.7500000000005, "end": 2879.9100000000003, "word": "ستاش", "probability": 0.6705322265625}, {"start": 2879.9100000000003, "end": 2881.07, "word": " حاضر", "probability": 0.6031901041666666}, {"start": 2881.07, "end": 2881.51, "word": " أجاي", "probability": 0.6396484375}, {"start": 2881.51, "end": 2882.21, "word": " نبدأ", "probability": 0.9085286458333334}, {"start": 2882.21, "end": 2882.31, "word": " شهر", "probability": 0.6219075520833334}, {"start": 2882.31, "end": 2882.95, "word": " سبعتاش", "probability": 0.65435791015625}, {"start": 2882.95, "end": 2883.11, "word": " اللي", "probability": 0.949462890625}, {"start": 2883.11, "end": 2883.31, "word": " هو", "probability": 0.98388671875}, {"start": 2883.31, "end": 2883.89, "word": " بكرا", "probability": 0.8899739583333334}, {"start": 2883.89, "end": 2885.01, "word": " أعطيكوا", "probability": 0.7764485677083334}, {"start": 2885.01, "end": 2885.33, "word": " العافية", "probability": 0.5931803385416666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2885.49725, "duration_after_vad": 2488.951249999989}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/2KHe79d7FRU_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/2KHe79d7FRU_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..3a15333f9de8c5b2f1f05742fbed981cbd513bfc
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/2KHe79d7FRU_raw.srt
@@ -0,0 +1,1512 @@
+1
+00:00:05,200 --> 00:00:08,080
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,080 --> 00:00:12,220
+وبركاته دي هنكمل في ال constraint plan motion
+
+3
+00:00:12,220 --> 00:00:18,700
+هنحكي عن ال rolling motion rolling motion يعني
+
+4
+00:00:18,700 --> 00:00:25,620
+حركة تدحرجية بدون انزلاق مثال على اللي احنا
+
+5
+00:00:25,620 --> 00:00:31,990
+شايفينه في عندى ال deskو في عندى ال surface طبعا
+
+6
+00:00:31,990 --> 00:00:36,310
+في بين ال surface و ال desk في احتكاك ال force
+
+7
+00:00:36,310 --> 00:00:40,410
+اللى بتأثر على ال desk اللى هو وزنه رد الفعل
+
+8
+00:00:40,410 --> 00:00:46,970
+العمودي و في force خارجية P و في friction force F
+
+9
+00:00:50,370 --> 00:00:54,990
+الان طالما انه طبعا هذه نتيجة ال forces حاسس ان
+
+10
+00:00:54,990 --> 00:01:00,850
+عندي مركز ثقة اللي يتحرك ب acceleration عندي MA
+
+11
+00:01:00,850 --> 00:01:05,650
+وحاسسله ايش؟ rotation ب I Alpha
+
+12
+00:01:08,380 --> 00:01:13,900
+طالما ان الاحتكاك هنا .. الاحتكاك من الأرض على ال
+
+13
+00:01:13,900 --> 00:01:18,680
+disk أكبر من ال force المتولدة، يعني مش هسيل
+
+14
+00:01:18,680 --> 00:01:22,980
+انزلاق طالما انه انا مش يادر اتغلب على الاحتكاك،
+
+15
+00:01:22,980 --> 00:01:29,160
+هي الاحتكاك هو المسيطر، معناته حضمن ان السيران دي
+
+16
+00:01:29,160 --> 00:01:35,700
+roll أو تدخرجكمان مرة طالما ان ال force المتولدة
+
+17
+00:01:35,700 --> 00:01:46,660
+بين السطح و ال disk أقل من الاحتكاك لحد الأقصى من
+
+18
+00:01:46,660 --> 00:01:54,110
+الاحتكاك معناته حشيت ضهرجإذا ال force المتولدة
+
+19
+00:01:54,110 --> 00:01:58,230
+زادة عن حد معين في لحظة ما هتغلب على الاحتكاك
+
+20
+00:01:58,230 --> 00:02:02,070
+وحيصيراش انزلاق، معناته
+
+21
+00:02:04,600 --> 00:02:09,020
+في الحالة هذه طالما هي ال force المتولدة الفريكشة
+
+22
+00:02:09,020 --> 00:02:13,080
+الحقيقية أقل من ميو أس ن ميو أس ن ليش معامل احتكاك
+
+23
+00:02:13,080 --> 00:02:19,440
+استاتيكي و أن رد الفعل من الأرض على ال disk بيكون
+
+24
+00:02:19,440 --> 00:02:23,720
+عنده rolling في الحالة ده بيكون في علاقة من ال
+
+25
+00:02:23,720 --> 00:02:27,940
+acceleration تاعة مركز استقل و العجلة الزاوية في
+
+26
+00:02:27,940 --> 00:02:32,540
+الحالة ده بيكون ال a بساوي R في ألفةفي حالة ال
+
+27
+00:02:32,540 --> 00:02:36,400
+critical بيكون على وشك الانزلاق ان ال F ايش تساوي
+
+28
+00:02:36,400 --> 00:02:41,480
+ميو أس ان بالظبط تساويها بيكون ال ال ال disk على
+
+29
+00:02:41,480 --> 00:02:45,100
+وشك الانزلاق برضه ما زال العلاقة بين ال
+
+30
+00:02:45,100 --> 00:02:51,240
+acceleration و العجلة الزاوية ال A بيستوى R في
+
+31
+00:02:51,240 --> 00:02:59,040
+Alpha otherwise الشرطة ده ماتحققش هيصير انزلاق
+
+32
+00:03:01,070 --> 00:03:07,950
+بحيث يصير انزلاق مع تدحرج
+
+33
+00:03:08,640 --> 00:03:12,700
+في الحالة هذه مازال في sliding هتصير ال force
+
+34
+00:03:12,700 --> 00:03:19,320
+قيمتها معامل احتكاك ال dinamic في N ميو كي في N و
+
+35
+00:03:19,320 --> 00:03:23,880
+ال A و ال R ألفة are not related يعني مافيش بينهم
+
+36
+00:03:23,880 --> 00:03:28,620
+relation في حالة سكانان ده انزلاق ال disk على
+
+37
+00:03:28,620 --> 00:03:33,200
+الأرض بيكون ال A و ال R ألفة are not related و
+
+38
+00:03:33,200 --> 00:03:35,160
+بتكون ال F بيستخدم ميو كي في N
+
+39
+00:03:42,560 --> 00:03:44,860
+الأن في عندي desk يعني
+
+40
+00:03:48,220 --> 00:03:52,880
+انفرج زي ما انتوا شايفين طالما انه بتدهرج على
+
+41
+00:03:52,880 --> 00:03:57,980
+السطح الأفقي طالما انه انفرج بطل المركز التقل اللي
+
+42
+00:03:57,980 --> 00:04:03,920
+جاي في النص مظبوط هذا مركز الدائرة مركز الدائرة مش
+
+43
+00:04:03,920 --> 00:04:06,460
+مركز تقل الجسم معناه انك في مركز تقل الجسم هتصير
+
+44
+00:04:06,460 --> 00:04:13,720
+المنطقة G المنطقة G لكن طالما ان ال disk بتدهرج ال
+
+45
+00:04:13,720 --> 00:04:18,760
+acceleration بتاع نقطةO بالساوية نصف القطر في
+
+46
+00:04:18,760 --> 00:04:25,000
+Alpha طالما ان في عندى تدحرج ال
+
+47
+00:04:25,000 --> 00:04:32,880
+acceleration بتاعة مركز الثقل G هتكون AG بالساوية
+
+48
+00:04:32,880 --> 00:04:39,840
+AO زاد AG بالنسبة لOالـ AGO بالنسبة للـ O هيكون
+
+49
+00:04:39,840 --> 00:04:44,900
+لها مركبة تان مركبة Radial اللى هى AGO normal او
+
+50
+00:04:44,900 --> 00:04:49,660
+normal component وفي عندى مركبة tangential AGO
+
+51
+00:04:49,660 --> 00:04:54,160
+tangential AGA tangential معناته ال AGO بالساوية
+
+52
+00:04:54,160 --> 00:05:01,020
+ال A O اللى هى أفقية زاد AGO tangential زاد AGO
+
+53
+00:05:01,020 --> 00:05:07,370
+normal ال AGO tangential ايش بالساويةالف في
+
+54
+00:05:07,370 --> 00:05:13,310
+المسافة og صح وال a g ا normal ايش الساوية اومل
+
+55
+00:05:13,310 --> 00:05:28,770
+تربيع في og اومل تربيع في og نشوف أمثلة فعندي
+
+56
+00:05:28,770 --> 00:05:33,890
+كرة وزنها W كرة وزنها
+
+57
+00:05:38,240 --> 00:05:43,200
+W is released with no initial velocity and rolls
+
+58
+00:05:43,200 --> 00:05:47,720
+without slipping on the incline تم إطلاقها من
+
+59
+00:05:47,720 --> 00:05:53,760
+السكون وصارت دهرج بدون انزلاق على السطح الماء اللي
+
+60
+00:05:53,760 --> 00:05:59,700
+احنا شايفينه تم إطلاقها من السكون يعني مركز استقل
+
+61
+00:05:59,700 --> 00:06:01,360
+سرعة مركز استقل V
+
+62
+00:06:05,330 --> 00:06:13,990
+zero ومافيش عندى انزلاق احسب ال minimum value of
+
+63
+00:06:13,990 --> 00:06:18,510
+the coefficient of friction احسب ايش اقل قيمة
+
+64
+00:06:18,510 --> 00:06:25,070
+لمعامل احتكاك الاستاتيكي بحيث تكون الحركة تدحرجية
+
+65
+00:06:25,070 --> 00:06:30,670
+لان هاي ال .. ال .. هنرسم free path diagram
+
+66
+00:06:38,400 --> 00:06:42,820
+هذه الكوارة ال
+
+67
+00:06:42,820 --> 00:06:51,700
+force اللي بتأثر عليها في عندى رد الفعل العمودي و
+
+68
+00:06:51,700 --> 00:06:57,420
+في عندى الوزن W
+
+69
+00:06:57,420 --> 00:07:03,880
+و
+
+70
+00:07:03,880 --> 00:07:04,340
+في عندى
+
+71
+00:07:08,240 --> 00:07:15,060
+اللي هو ال friction
+
+72
+00:07:15,060 --> 00:07:32,940
+force هذا حد ساوي هيكون
+
+73
+00:07:32,940 --> 00:07:36,840
+مركز اتقال ايه له acceleration
+
+74
+00:07:39,500 --> 00:07:43,620
+م في ا و
+
+75
+00:07:43,620 --> 00:07:47,700
+فيه ايش اي
+
+76
+00:07:47,700 --> 00:07:54,380
+في الف هنحكي
+
+77
+00:07:54,380 --> 00:08:02,280
+هذا نقطة المركز جي نقطة التلامس سي هذه جي هذه سي
+
+78
+00:08:22,940 --> 00:08:32,300
+طيب خلنا نعتبر هذا ال X هذا
+
+79
+00:08:32,300 --> 00:08:45,300
+ال Y اللي
+
+80
+00:08:45,300 --> 00:08:47,140
+انا هكون عندى summation
+
+81
+00:08:50,180 --> 00:08:54,900
+لل forces بتجاه
+
+82
+00:08:54,900 --> 00:09:05,420
+ال Y هل في حركة بتجاه ال Y؟ ساوي Zero صح؟
+
+83
+00:09:05,420 --> 00:09:09,920
+هتساوي N minus
+
+84
+00:09:09,920 --> 00:09:16,120
+W cosine التلاتين
+
+85
+00:09:18,040 --> 00:09:29,940
+معناته الان هتكون السواء و cosine التلاتين طيب
+
+86
+00:09:29,940 --> 00:09:35,860
+ال X sub initial forces باتجاه
+
+87
+00:09:35,860 --> 00:09:40,740
+ال X هتكون
+
+88
+00:09:40,740 --> 00:09:52,920
+السواء M في A صح؟اتجاه ال X هيكون عنده W SIN
+
+89
+00:09:52,920 --> 00:09:58,580
+التلاتين minus
+
+90
+00:09:58,580 --> 00:10:03,620
+ال F بالساوية
+
+91
+00:10:03,620 --> 00:10:13,460
+M في A اللي هي W على G في A صح؟ W
+
+92
+00:10:13,460 --> 00:10:13,940
+على G
+
+93
+00:10:21,550 --> 00:10:32,690
+فى ايه؟ معناته ال F بتساوي
+
+94
+00:10:32,690 --> 00:10:36,490
+اقسم
+
+95
+00:10:36,490 --> 00:10:40,130
+minus minus minus وجبت هذا عجبا تامسين تساوي W sin
+
+96
+00:10:40,130 --> 00:10:46,870
+تلاتين W على اتنين minus
+
+97
+00:10:50,500 --> 00:11:04,780
+W على G في A يعني هذه معادلة واحد هذه
+
+98
+00:11:04,780 --> 00:11:12,600
+معادلة اتنين المعادلة
+
+99
+00:11:12,600 --> 00:11:18,200
+تالتة للحركة ممكن اخد summation moment حوالين G
+
+100
+00:11:20,030 --> 00:11:24,770
+Summation of moment
+
+101
+00:11:24,770 --> 00:11:38,370
+حوالين G بتساوي
+
+102
+00:11:38,370 --> 00:11:43,270
+مزال G حوالين G هتكون I في Alpha صح؟ I
+
+103
+00:11:45,900 --> 00:11:55,260
+فى الفى طبعا ال N و ال W مش هعملوه بس راندي اف ار
+
+104
+00:11:55,260 --> 00:11:59,760
+بساوي
+
+105
+00:11:59,760 --> 00:12:06,760
+ال I للاسفير ايش بساوي اتنين
+
+106
+00:12:06,760 --> 00:12:17,330
+على خمسة M R square صح يعني اتنين على خمسةW على G
+
+107
+00:12:17,330 --> 00:12:31,370
+R تربيع F R بيستوى ال I اللي هي اتنين على خمسة W
+
+108
+00:12:31,370 --> 00:12:44,990
+على G R square في Alpha يعني هتكون ال F طيب
+
+109
+00:12:47,220 --> 00:12:49,680
+إذا كان انا بده ال minimum انا عنده اول شي rolling
+
+110
+00:12:49,680 --> 00:12:56,940
+motion rolling motion
+
+111
+00:13:00,200 --> 00:13:03,140
+انا بحكي ال minimum value بتاعة الميو أسبانات
+
+112
+00:13:03,140 --> 00:13:09,060
+بتكون الكرة على وشك الإنزلاق في الحالة هذه ال أفة
+
+113
+00:13:09,060 --> 00:13:19,160
+شو تساوي ميو أس في أن يعني هتكون تساوي ال أن اللي
+
+114
+00:13:19,160 --> 00:13:23,660
+هي ميو أس ال
+
+115
+00:13:23,660 --> 00:13:28,100
+أن اللي هي و كوصين التلاتين
+
+116
+00:13:32,630 --> 00:13:41,850
+نعود في المعادلة هذه عندي F اللي هي ال
+
+117
+00:13:41,850 --> 00:13:50,010
+F اللي هي يعني هنا هنختصر R مظبوط هنختصر R ال F
+
+118
+00:13:50,010 --> 00:13:55,470
+اللي هي هتكون Mus W
+
+119
+00:13:55,470 --> 00:13:59,690
+Cos التلاتين
+
+120
+00:14:04,030 --> 00:14:17,030
+بالساوة اتنين على خمسة W على G R
+
+121
+00:14:17,030 --> 00:14:20,230
+في الفة
+
+122
+00:14:34,260 --> 00:14:47,000
+يعني راح يكون عنده W مع W بس
+
+123
+00:14:47,000 --> 00:14:53,000
+random U S cosine
+
+124
+00:14:53,000 --> 00:14:56,900
+التلاتين
+
+125
+00:14:56,900 --> 00:15:00,720
+سوى اتنين على خمسة
+
+126
+00:15:05,860 --> 00:15:15,620
+R الف على جي هذه
+
+127
+00:15:15,620 --> 00:15:22,780
+المعادلة اتنين في معادلة اتنين كان عندي اللي هو F
+
+128
+00:15:22,780 --> 00:15:32,400
+بالساوية ال F بالساوية اللي
+
+129
+00:15:32,400 --> 00:15:43,740
+هو W على اتنينminus W على G في A برضه لو كان عندى
+
+130
+00:15:43,740 --> 00:15:53,940
+rolling هيكون عندى ال A ايش يساوي R في الف صح يعني
+
+131
+00:15:53,940 --> 00:15:57,580
+خلنا
+
+132
+00:15:57,580 --> 00:16:01,140
+نكتب المعادلات بشكل يعني عند المعادلة الأولى هي
+
+133
+00:16:01,140 --> 00:16:12,970
+أيش خلنا نكتبها بشكل تانيand اللي هو n وصوة وخصين
+
+134
+00:16:12,970 --> 00:16:21,050
+التلاتين هاي واحد المعادلة التانية اللي هي F وصوة
+
+135
+00:16:21,050 --> 00:16:33,210
+W على اتنين ناقص W على G خلّي زي ما هي في A هاي
+
+136
+00:16:33,210 --> 00:16:40,180
+المعادلة التانيةالمعادلة التالتة اللي هي F
+
+137
+00:16:40,180 --> 00:16:44,640
+بالساوية
+
+138
+00:16:44,640 --> 00:17:00,740
+اتنين على خمسة W على G R في ألفة انا حابب اكتب زيك
+
+139
+00:17:00,740 --> 00:17:02,280
+عشان أسرط بالافكار
+
+140
+00:17:04,970 --> 00:17:20,910
+المجهيل عنده عندي N الان و F و A و Alpha صح؟ الان
+
+141
+00:17:20,910 --> 00:17:24,250
+في علاقة اللي هي رابع انا أساسا رتب حتى تكون عندي
+
+142
+00:17:24,250 --> 00:17:32,310
+ال A بالسواء R في Alpha مظبوط؟
+
+143
+00:17:33,980 --> 00:17:41,480
+فعندي F with some US في
+
+144
+00:17:41,480 --> 00:17:46,080
+N هاي
+
+145
+00:17:46,080 --> 00:18:01,220
+أربعة و هاي خمسة يعني
+
+146
+00:18:01,220 --> 00:18:06,310
+اتنين بيساوي تلاتة صح؟يعني هالسرعية هيكون عندى W
+
+147
+00:18:06,310 --> 00:18:18,670
+على اتنين اول شي ناقص W على G في A بالساوية
+
+148
+00:18:18,670 --> 00:18:22,110
+اتنين
+
+149
+00:18:22,110 --> 00:18:35,420
+على خمسة W على G في R في Alpha كان A بالساوياتار
+
+150
+00:18:35,420 --> 00:18:43,300
+في ألف يعني هكون عندى هروح و صح بالأول و يعني نص
+
+151
+00:18:43,300 --> 00:18:56,200
+ناقص ر في ألف على ج ايش سوى اتنين في خمسة ر ألف
+
+152
+00:18:56,200 --> 00:19:06,640
+على ج هجيب هدع جهة التانية حبسة عندى نصبالساوية
+
+153
+00:19:06,640 --> 00:19:09,820
+يعني هاد هتكون خمسة على خمسة زي اتنين على خمسة
+
+154
+00:19:09,820 --> 00:19:22,460
+سبعة على خمسة R Alpha على G معناته Alpha ايش
+
+155
+00:19:22,460 --> 00:19:28,240
+بالساوية؟ خمسة
+
+156
+00:19:28,240 --> 00:19:31,880
+على اربعتاش
+
+157
+00:19:35,310 --> 00:19:44,950
+الـ G على R عرفنا إيش؟ الالفة خلاص، المعوض في
+
+158
+00:19:44,950 --> 00:19:50,530
+تلاتة تلتة من الأفة شو يساوي؟ ميو أس تلتة أف
+
+159
+00:19:50,530 --> 00:20:01,370
+بيساوي ميو أس ان، صح؟ بالساوية اتنين على خمسة W
+
+160
+00:20:01,370 --> 00:20:16,030
+على Gفى R فى Alpha خلّيها خمسة على اربعتاش G على R
+
+161
+00:20:16,030 --> 00:20:20,310
+بالظبط
+
+162
+00:20:20,310 --> 00:20:30,350
+فهنا نختصر يعني دهان G مع G صح؟ وخمسة مع خمسة R مع
+
+163
+00:20:30,350 --> 00:20:41,770
+R بنعود عن N U Scos mu s في w cos
+
+164
+00:20:41,770 --> 00:20:47,210
+التلاتين بالساوية
+
+165
+00:20:47,210 --> 00:20:59,510
+واحد على سبعة ال W صح؟ يعني هتروح W مناتم U S
+
+166
+00:20:59,510 --> 00:21:04,630
+Minimum Value U S هتكون الساوية
+
+167
+00:21:07,330 --> 00:21:12,310
+واحد على سبعة كوصين التلاتين واحد على سبعة كوصين
+
+168
+00:21:12,310 --> 00:21:25,610
+التلاتين تطلع point
+
+169
+00:21:25,610 --> 00:21:31,890
+واحد ستة اربع point واحد ستة اربع تسعة ستة اربع
+
+170
+00:21:31,890 --> 00:21:35,530
+يعني واحد ستة خمس اللي احكي had in US
+
+171
+00:21:49,720 --> 00:21:56,880
+طب بدي ال rest of g after the sphere has rolled 10
+
+172
+00:21:56,880 --> 00:22:02,240
+feet يعني هندرس الحركة بتجاه ال x axis اللي هو ال
+
+173
+00:22:02,240 --> 00:22:09,380
+motion motion along
+
+174
+00:22:09,380 --> 00:22:18,020
+ال x axis هيكون طبعا حركة فيها عندى عجلة هكون عند
+
+175
+00:22:18,020 --> 00:22:25,640
+Vso v node او
+
+176
+00:22:25,640 --> 00:22:37,920
+v تربيع so v node تربيع زاد a في delta x صح؟ 2a
+
+177
+00:22:37,920 --> 00:22:45,600
+طيب ال .. ال v node كانت السفر زاد
+
+178
+00:22:57,180 --> 00:23:02,720
+الاتنين ال a اللي هي عبارة عن ايش نحكيها ان ال a
+
+179
+00:23:02,720 --> 00:23:10,640
+بالصوة r في alpha صح؟ يعني هتكون .. هنضرب هذه في r
+
+180
+00:23:10,640 --> 00:23:16,020
+خمسة على اربعتاش ال
+
+181
+00:23:16,020 --> 00:23:24,480
+g يعني هتكون اتنين في خمسة على اربعتاشG اللي هي لو
+
+182
+00:23:24,480 --> 00:23:29,320
+انا اكيد تسعة فونت هينفوتر هحكي أنه اتنين و تلاتين
+
+183
+00:23:29,320 --> 00:23:37,080
+اتنين و تلاتين و اتنين من العشرة في العشرة قدم
+
+184
+00:23:37,080 --> 00:23:42,540
+اللي هي في ال delta X اللي هي عشرة و منها بحسب ال
+
+185
+00:23:42,540 --> 00:23:42,760
+V
+
+186
+00:23:51,940 --> 00:24:12,220
+15.165 15.165 طيب
+
+187
+00:24:12,220 --> 00:24:17,040
+هذا المطلوب التالت المطلوب التالت في list of g
+
+188
+00:24:20,510 --> 00:24:25,390
+if the sphere were to move ten feet down a
+
+189
+00:24:25,390 --> 00:24:30,670
+frictionless incline اذا كان مستوى مافيش احتكالات
+
+190
+00:24:30,670 --> 00:24:37,710
+معناته هتكون هتنزلق هتنزل انزلاق معناته هتكون في
+
+191
+00:24:37,710 --> 00:24:42,050
+الحالة هذه المعادلات نفسها يعني المعادلات نفسها
+
+192
+00:24:42,050 --> 00:24:45,070
+هتكون بس هتكون الحالة هذه ال F
+
+193
+00:24:50,260 --> 00:25:01,180
+ال F بالستوى تكون .. يعني لو أخدت ال forces احنا
+
+194
+00:25:01,180 --> 00:25:04,320
+.. احنا .. احنا خدنا امتجاه ال normal مظبوطة
+
+195
+00:25:04,320 --> 00:25:17,000
+باتجاه ال X برضه ايش مظبوطة ال moment نعم اه مافيش
+
+196
+00:25:17,000 --> 00:25:21,770
+ال F معناه تحسي .. المعادلة الأولىيعني المعادلة
+
+197
+00:25:21,770 --> 00:25:32,810
+هتخلنا نكتبها المعادلة
+
+198
+00:25:32,810 --> 00:25:40,010
+اللي هي N N بسوة W Cos 30 هيعني المعادلة هتكون N
+
+199
+00:25:40,010 --> 00:25:49,490
+بسوة W Cos 30 المعادلة
+
+200
+00:25:49,490 --> 00:25:59,490
+التانيةw sin 30 بساوة
+
+201
+00:25:59,490 --> 00:26:04,050
+w على g في
+
+202
+00:26:04,050 --> 00:26:10,390
+a يعني ال a بساوة
+
+203
+00:26:10,390 --> 00:26:16,030
+g sin 30 يعني
+
+204
+00:26:16,030 --> 00:26:21,730
+هتكوناللي هي هتكون اتنين و تلاتين و اتنين و عشرة
+
+205
+00:26:21,730 --> 00:26:30,790
+في نص يعني ستاش point واحد foot لكل second square
+
+206
+00:26:39,880 --> 00:26:43,160
+هن social mode حوالين جيه اللي انا بتساوي صفر
+
+207
+00:26:43,160 --> 00:26:51,840
+معناته الصفر بتكون تساوي I في الف صح؟ ال I مش صفر
+
+208
+00:26:51,840 --> 00:26:57,080
+اكيد يعني لو تال الف تساوي
+
+209
+00:26:57,080 --> 00:26:59,860
+صفر
+
+210
+00:27:09,040 --> 00:27:14,400
+معناته عندى هتكون نفس الاشي ال motion along ال x
+
+211
+00:27:14,400 --> 00:27:20,920
+axis اللى هى v square بيساوى v node square زي
+
+212
+00:27:20,920 --> 00:27:27,880
+اتنين a delta x هتكون عندى صفر زي اتنين في ستاش
+
+213
+00:27:27,880 --> 00:27:38,180
+point one في عشرة منها v بتطلع طبنتاش
+
+214
+00:27:45,880 --> 00:27:55,260
+طمنتاش؟ سبعتاش؟ foot per
+
+215
+00:27:55,260 --> 00:27:58,680
+second واضح
+
+216
+00:27:58,680 --> 00:28:04,820
+السرعة في الحالة التالية هتكون أسرع من حالة تتدحرش
+
+217
+00:28:04,820 --> 00:28:07,180
+في أي سؤال؟
+
+218
+00:28:15,750 --> 00:28:17,070
+نشوف مثال تاني
+
+219
+00:28:52,350 --> 00:28:56,410
+a cord is wrapped around the inner hub of a wheel
+
+220
+00:28:56,410 --> 00:29:05,030
+عندي عجل و فيله hub يعني فيه قطرين عندي القطر
+
+221
+00:29:05,030 --> 00:29:10,770
+الزغير اللي هو نص القطر ست ميلي و نص القطر الكبير
+
+222
+00:29:10,770 --> 00:29:17,590
+مية ملفوف حبل حوالين نص القطر الزغيرand pulled
+
+223
+00:29:17,590 --> 00:29:20,590
+horizontally with a force of two hundred Newton و
+
+224
+00:29:20,590 --> 00:29:29,130
+سحبه أفقيا بقوة قيمتها متين نيوتن ال wheel has a
+
+225
+00:29:29,130 --> 00:29:34,530
+mass of fifty kilogram ال wheel كتلتها ال mass
+
+226
+00:29:34,530 --> 00:29:40,050
+بالساعة خمسين كيلو جرام
+
+227
+00:29:43,670 --> 00:29:51,530
+and a radius of gyration of 70 millimeter كبساوة
+
+228
+00:29:51,530 --> 00:29:58,110
+سبعين millimeter knowing
+
+229
+00:29:58,110 --> 00:30:03,450
+that معطين معامل احتكاك الاستاتيكي معامل احتكاك ال
+
+230
+00:30:03,450 --> 00:30:10,070
+dynamic mu s بساوة اتنين من عشرة on mu k
+
+231
+00:30:13,050 --> 00:30:20,010
+point واحد خمسة determine
+
+232
+00:30:20,010 --> 00:30:25,410
+the acceleration of G او دي ال acceleration لمركز
+
+233
+00:30:25,410 --> 00:30:32,470
+الثقة الجي و العجل الزاوية للدولاب طبعا انا حرصهم
+
+234
+00:30:32,470 --> 00:30:33,150
+في free body diagram
+
+235
+00:30:43,780 --> 00:30:47,500
+الان ال wheel ايش ال force بتأثر عليها؟ في عندي ال
+
+236
+00:30:47,500 --> 00:30:55,220
+force اللي هي متين نيوتن وفي
+
+237
+00:30:55,220 --> 00:30:59,020
+الوزن اللي
+
+238
+00:30:59,020 --> 00:31:07,660
+هي MG وفي رد الفعل العمودي N وفي الاحتكاك
+
+239
+00:31:11,150 --> 00:31:19,870
+F فى الفكرة اللى عندى F لان نتيجة هذه ال forces
+
+240
+00:31:19,870 --> 00:31:30,090
+هسير
+
+241
+00:31:30,090 --> 00:31:36,230
+عندى لمركز ثقل M فى A
+
+242
+00:31:45,540 --> 00:31:50,740
+و I في
+
+243
+00:31:50,740 --> 00:31:58,300
+Alpha هاي
+
+244
+00:31:58,300 --> 00:32:01,780
+ال X هاي ال Y
+
+245
+00:32:05,470 --> 00:32:09,670
+هل انا .. هل انا عارف انه هيكون في عندى .. هتكون
+
+246
+00:32:09,670 --> 00:32:15,110
+pure rolling و لا pure sliding و لا rolling مع
+
+247
+00:32:15,110 --> 00:32:20,910
+sliding مش عارفين طب إيش هنسويه؟ لأ يا بالاش
+
+248
+00:32:20,910 --> 00:32:25,970
+الفرضيات اللي هنسويها يعني ده في تقريد انه عندى
+
+249
+00:32:25,970 --> 00:32:28,530
+pure rolling بعدين بشوف إيش بيطلع معاه يعني assume
+
+250
+00:32:37,350 --> 00:32:44,330
+fewer rolling motion
+
+251
+00:32:44,330 --> 00:32:48,550
+الحالة
+
+252
+00:32:48,550 --> 00:32:57,250
+دي ال a و ال alpha related صح طيب لان هناخد
+
+253
+00:32:57,250 --> 00:33:01,630
+summation of forces باتجاه
+
+254
+00:33:01,630 --> 00:33:02,030
+ال y
+
+255
+00:33:04,950 --> 00:33:16,270
+هتكون السوياش صفر في الحالة هذه هتساوي N minus MG
+
+256
+00:33:16,270 --> 00:33:22,990
+يعني ال N هتساوي
+
+257
+00:33:22,990 --> 00:33:27,790
+MG هاي
+
+258
+00:33:27,790 --> 00:33:28,230
+واحد
+
+259
+00:33:34,990 --> 00:33:40,630
+ممكن اخد ال summation لل forces باتجاه
+
+260
+00:33:40,630 --> 00:33:43,870
+ال X
+
+261
+00:33:43,870 --> 00:33:48,250
+سواء
+
+262
+00:33:48,250 --> 00:33:57,350
+في يعني هكون 200 minus F
+
+263
+00:34:02,330 --> 00:34:05,270
+ال F عشان يكون فى الصورة ال F إذا عندى P-rolling
+
+264
+00:34:05,270 --> 00:34:11,050
+هتكون ال F أقل يعني إذا .. إذا هذا كلام صح هتكون
+
+265
+00:34:11,050 --> 00:34:19,070
+ال F U S فأن لازم يكون ذلك إذا كان الكلام صح هتكون
+
+266
+00:34:19,070 --> 00:34:29,670
+ال 200 ناقص F بتساوي M
+
+267
+00:34:29,670 --> 00:34:30,910
+في هذه المعادلة
+
+268
+00:34:45,700 --> 00:34:51,100
+التانية ال summation لل .. ناخد ال moment حوالين
+
+269
+00:34:51,100 --> 00:34:59,420
+جيه ال summation للمoment حوالين جيه خلنا نعتبر
+
+270
+00:34:59,420 --> 00:35:00,080
+هذا موجب
+
+271
+00:35:03,150 --> 00:35:07,930
+هتكون تساوي I في
+
+272
+00:35:07,930 --> 00:35:16,550
+الف هاطرع ال N و ال G هتكون دي 200 فى 60 اللى هى
+
+273
+00:35:16,550 --> 00:35:20,330
+200 فى
+
+274
+00:35:20,330 --> 00:35:28,370
+point O6 minus point 1F بتساوي
+
+275
+00:35:31,230 --> 00:35:34,550
+هو على اي حال هو معطين ال res جاي رياشين المعنى ان
+
+276
+00:35:34,550 --> 00:35:42,370
+انا ممكن احسب ال I صح ال I ايش الساوي M K تربيع صح
+
+277
+00:35:42,370 --> 00:35:50,190
+يعني هتكون الساوي ال M اللي عندي خمسين في ال K
+
+278
+00:35:50,190 --> 00:35:57,610
+اللي هي point O سبعة تربيع سفر
+
+279
+00:36:05,060 --> 00:36:14,420
+يعني ماتين و اربع و خمسين؟ كيلو
+
+280
+00:36:14,420 --> 00:36:19,260
+جرام؟ نعم كيلو خمس و اربعين
+
+281
+00:36:35,520 --> 00:36:52,880
+بساوة I في Alpha هذه المعادلة تلاتة مانفعش
+
+282
+00:36:52,880 --> 00:36:58,700
+احكي F بساوة ميو ميو في اسفل او ميو كفان ان انا
+
+283
+00:36:58,700 --> 00:37:05,700
+احسبها الان عندي مجهولال A شو الساوية عنده؟ ال A
+
+284
+00:37:05,700 --> 00:37:09,940
+بالحالة إذا كانت هذه في rolling motion بالساوية R
+
+285
+00:37:09,940 --> 00:37:18,580
+في Alpha ال A بالساوية R في Alpha يعني
+
+286
+00:37:18,580 --> 00:37:20,140
+هذه المعادلة الرابعة صح؟
+
+287
+00:37:28,560 --> 00:37:34,500
+لأن هاي عندي A و F و Alpha بدي كمان معادلة هي هذي
+
+288
+00:37:34,500 --> 00:37:46,840
+يعني هين هنعوض هيكون عندي هين 200 minus F بالساوية
+
+289
+00:37:46,840 --> 00:37:55,280
+M اللي هي R F الساوية اللي هي point one صح؟ هذي
+
+290
+00:37:55,280 --> 00:37:55,760
+point one
+
+291
+00:37:58,800 --> 00:38:08,620
+فى alpha خنعوض عن اللام اللى هى خمسين فى
+
+292
+00:38:08,620 --> 00:38:12,000
+ال a اللى هى r اللى هى r alpha اللى هى point واحد
+
+293
+00:38:12,000 --> 00:38:17,900
+الفة
+
+294
+00:38:17,900 --> 00:38:27,560
+يعني هتكون عندى متين minus F بالسواء خمسة الفة
+
+295
+00:38:29,190 --> 00:38:33,330
+المعادة رقم تلاتة عندي متين في point o6 كم بيصير
+
+296
+00:38:33,330 --> 00:38:40,250
+يعني متين اتناش
+
+297
+00:38:40,250 --> 00:38:50,590
+اتناش ناقص point واحد اف اي اللي هي point اتنين
+
+298
+00:38:50,590 --> 00:38:55,110
+اربعة خمسة الف
+
+299
+00:38:58,590 --> 00:39:05,870
+ممكن اقسم المعادلة هذه على هذه صح بتروح عند ايش ال
+
+300
+00:39:05,870 --> 00:39:12,690
+alpha يعني هيكون عنده متين minus
+
+301
+00:39:12,690 --> 00:39:21,630
+F على اتناش ناقص point واحد F بيستخدم خمسة point
+
+302
+00:39:21,630 --> 00:39:22,890
+اتنين اربعة خمسة
+
+303
+00:39:28,020 --> 00:39:33,920
+خلنا نحكي خمسة على point اتنين اربعة خمسة زي ما هي
+
+304
+00:39:33,920 --> 00:39:42,160
+نخليها يعني هنقدر نعمل cross هكون عندي متين اكم
+
+305
+00:39:42,160 --> 00:39:48,920
+بطلع تسعة و اربعين minus
+
+306
+00:39:48,920 --> 00:39:56,240
+point اتنين اربعة خمسة F بالساوية ستين
+
+307
+00:39:59,320 --> 00:40:12,620
+minus نص F يعني هنجيب هذه هنا وهذه
+
+308
+00:40:12,620 --> 00:40:19,080
+هنجيبها هنا صح؟
+
+309
+00:40:19,080 --> 00:40:21,240
+تطلع ال F عنده
+
+310
+00:40:33,240 --> 00:40:37,080
+الـ minus الله صح؟
+
+311
+00:40:37,080 --> 00:40:40,320
+أكام؟
+
+312
+00:40:40,320 --> 00:40:51,090
+غلط لأن عندك نص يعني .. يعنياه لأ بتطلع بال ..
+
+313
+00:40:51,090 --> 00:40:54,410
+بتطلع بال .. بال .. بالموجب لإن هو التساريح احداش
+
+314
+00:40:54,410 --> 00:41:01,930
+.. احداش على اقسم minus minus وروح minus minus
+
+315
+00:41:01,930 --> 00:41:08,930
+وروح عندك احداش على المص يكون عندك مص دماغك ربع
+
+316
+00:41:08,930 --> 00:41:15,070
+كام؟ ربع؟ تلات
+
+317
+00:41:15,070 --> 00:41:26,550
+و أربعين؟ تلات و أربعين؟بونت واحد اربعة نيوتن طب
+
+318
+00:41:26,550 --> 00:41:32,530
+ال US انه كم بالساوية ال
+
+319
+00:41:32,530 --> 00:41:38,790
+US اللي هي point اتنين point
+
+320
+00:41:38,790 --> 00:41:46,990
+اتنين في ال N عندي اللي هي MG في خمسين في
+
+321
+00:41:51,620 --> 00:42:00,560
+الجيل هي تسعة point تمانية سفر ستة
+
+322
+00:42:00,560 --> 00:42:08,160
+تمانية تسعين نوتو
+
+323
+00:42:08,160 --> 00:42:12,420
+بس خلّيني اعاد الارقام او المعادلات عند summation
+
+324
+00:42:12,420 --> 00:42:17,410
+of forces سواء سفر سواء N minus MG صحيحالمعادلة
+
+325
+00:42:17,410 --> 00:42:21,670
+التانية summation of force بتجاه ال X بيستوى 200
+
+326
+00:42:21,670 --> 00:42:29,030
+minus F بيستوى M في A المعادلة التانية summation
+
+327
+00:42:29,030 --> 00:42:38,490
+لل moment حوالين ال G بيستوى I في Alpha هيكون 200
+
+328
+00:42:41,420 --> 00:42:46,180
+هذه 200 في المسافة هذي كم؟ ستين في point O ستة
+
+329
+00:42:46,180 --> 00:42:51,760
+minus هذي مية يعني point one minus point one في F
+
+330
+00:42:51,760 --> 00:42:58,980
+بيستو I في الف المعادلة صحيحة لإن ال I بيستو M K
+
+331
+00:42:58,980 --> 00:43:04,720
+square ال M عندي اللي هي خمسين في point O سبعة
+
+332
+00:43:04,720 --> 00:43:10,680
+يعني خمسة و سبعة خمسين في تسعة و اربعين على عشر
+
+333
+00:43:10,680 --> 00:43:11,140
+تلاف
+
+334
+00:43:14,450 --> 00:43:20,350
+أكم تطلع؟ يعني .. يعني أكم تطلع point اتنين اربعة
+
+335
+00:43:20,350 --> 00:43:25,510
+و خمسون صح الرقم هذا؟ طيب بعدين احنا حكينا A
+
+336
+00:43:25,510 --> 00:43:31,890
+بالساوية R في ألفة ال R عندنا أكم؟ مية يعني point
+
+337
+00:43:31,890 --> 00:43:37,890
+one يعني ال A بالساوية
+
+338
+00:43:37,890 --> 00:43:45,740
+point oneفى Alpha بعدين رح نعوضنا فى المعادلة هذه
+
+339
+00:43:45,740 --> 00:43:53,940
+اللى هى 200 ناقص F بالساوى اللى هى point one Alpha
+
+340
+00:43:53,940 --> 00:43:59,540
+فى الخمسين يعنى خمسة Alpha بعدين فى المعادلة هذه
+
+341
+00:43:59,540 --> 00:44:06,980
+اللى هى 200 فى ستة عالمية اللى هى ستة فى اتنين ايه
+
+342
+00:44:06,980 --> 00:44:15,410
+اكم ستة 200 فى ستة عالميةيعني مية مع مية ستة اتنين
+
+343
+00:44:15,410 --> 00:44:20,190
+اتناش ناقص point one الفة بالثوائي اللي هي point
+
+344
+00:44:20,190 --> 00:44:25,730
+اتنين اربع خمسة في الفة بعدين قسمنا هذا ديمتين
+
+345
+00:44:25,730 --> 00:44:29,510
+minus F هذا المعادلة اهد المعادلة بس ان ديمتين
+
+346
+00:44:29,510 --> 00:44:34,080
+ناقص Fعلى اتناف ناقص point واحد F بيساوي خمسة على
+
+347
+00:44:34,080 --> 00:44:38,260
+point اتنين اربعة خمسة بعدين ضربنا متين في point
+
+348
+00:44:38,260 --> 00:44:42,900
+اتنين اربعة خمسة اللي هي التسعة واربعين ناقص point
+
+349
+00:44:42,900 --> 00:44:50,300
+اتنين اربعة خمسة F بيساوي ستين ناقص نص F بعدين هاد
+
+350
+00:44:50,300 --> 00:44:54,780
+جيبناها هين صارت بال plus و جيبناها ده بيصير بال
+
+351
+00:44:54,780 --> 00:45:00,190
+minus يعني بيصير minus minus فبسينا دي احداشبس
+
+352
+00:45:00,190 --> 00:45:03,830
+ساوى أكم؟
+
+353
+00:45:03,830 --> 00:45:07,490
+أكم؟
+
+354
+00:45:07,490 --> 00:45:15,950
+يعني هتكون متين و خمس و خمسين صح؟ يعني هتكون احداش
+
+355
+00:45:15,950 --> 00:45:21,490
+على point اتنين خمسة خمسة اللي هي تقريبا اللقم صح
+
+356
+00:45:21,490 --> 00:45:26,930
+تلات و اربعين تلات و اربعين الآن عند ال F
+
+357
+00:45:30,550 --> 00:45:43,450
+أقل من musn هنعطي ال assumption بتاعنا صحيح
+
+358
+00:45:43,450 --> 00:45:46,510
+لو
+
+359
+00:45:46,510 --> 00:45:52,650
+كان مش صح لو كان مش صح يعني المقول هو يطلع أقل أو
+
+360
+00:45:52,650 --> 00:45:59,890
+يساوي من musn إذا طلع أكبرمعناته في عنده rolling و
+
+361
+00:45:59,890 --> 00:46:02,650
+sliding في الحالة هذه اللي بختلف انه بروح بحكي انه
+
+362
+00:46:02,650 --> 00:46:14,230
+F if ال F طلعت أكبر من U S N معناته في عنده
+
+363
+00:46:14,230 --> 00:46:18,990
+rolling and
+
+364
+00:46:18,990 --> 00:46:24,550
+sliding و
+
+365
+00:46:24,550 --> 00:46:30,580
+ال A and Alphaفي الحالات بيقولوا are independent
+
+366
+00:46:30,580 --> 00:46:34,060
+وفي
+
+367
+00:46:34,060 --> 00:46:40,240
+الحالات بحكي F بالساوية ميو كي
+
+368
+00:46:40,240 --> 00:46:44,160
+فان بعود مباشرة في المعادلات F بالساوية ميو كي فان
+
+369
+00:46:44,160 --> 00:46:47,360
+ومنها بكمل الحسابات
+
+370
+00:46:57,300 --> 00:47:07,200
+طبعا الان ال F انعرفت بعوض هنا حاسب عنده متين
+
+371
+00:47:07,200 --> 00:47:14,440
+مينس سلاتة وأربعين واربعتاش سواء خمسة ألف خمسة
+
+372
+00:47:14,440 --> 00:47:18,540
+ألفة ومنها بحسب H
+
+373
+00:47:28,520 --> 00:47:34,420
+و ال a التي هي point واحد في الف التي هي واحد
+
+374
+00:47:34,420 --> 00:47:41,420
+تلاتين التي هي تلاتة point واحد تلاتة سبعة اللي هو
+
+375
+00:47:41,420 --> 00:47:51,060
+متر per second squared في
+
+376
+00:47:51,060 --> 00:47:54,860
+أي سؤال؟ هيك يكون خلصنا شبطر
+
+377
+00:47:58,750 --> 00:48:03,890
+ستاش حاضر أجاي نبدأ شهر سبعتاش اللي هو بكرا
+
+378
+00:48:03,890 --> 00:48:05,330
+أعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/3r0WZlPm7mI.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/3r0WZlPm7mI.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d5a6a3329b84e420627fd285b360ede2a634349b
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/3r0WZlPm7mI.srt
@@ -0,0 +1,1024 @@
+1
+00:00:05,180 --> 00:00:08,180
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله و
+
+2
+00:00:08,180 --> 00:00:10,940
+بركاته اليوم هنكمل في مادة الديناميكا احنا بدأنا
+
+3
+00:00:10,940 --> 00:00:14,620
+chapter 11 اللي هي kinematics of particles
+
+4
+00:00:14,620 --> 00:00:18,900
+المحاضرة الفاتحة حكينا عن ال tangential والـ
+
+5
+00:00:18,900 --> 00:00:24,760
+normal components حكينا عن الacceleration أو السرعة
+
+6
+00:00:24,760 --> 00:00:28,740
+عادة بتكون مماسة .. السرعة بتكون دائماً مماسة لمسار
+
+7
+00:00:28,740 --> 00:00:33,930
+الحركة، الـacceleration متكون من مكونين أو two
+
+8
+00:00:33,930 --> 00:00:37,330
+components، واحدة الـtangential component بتعبر عن
+
+9
+00:00:37,330 --> 00:00:40,750
+التغير في قيمة السرعة، والـcomponent الثاني الـnormal
+
+10
+00:00:40,750 --> 00:00:48,670
+component بتعبر عن التغير في اتجاه السرعة، اليوم
+
+11
+00:00:48,670 --> 00:00:52,330
+هنكمل بنظام إحداثيات ثاني، الـradial and transverse
+
+12
+00:00:52,330 --> 00:00:57,290
+components، أنا عندي زي ما أنتم شايفين
+
+13
+00:01:00,140 --> 00:01:04,660
+عندي هذا نظام إحداثيات مركزه O وفيه particle
+
+14
+00:01:04,660 --> 00:01:09,940
+ماشي على مسار منحني، الآن عند أي لحظة كان الـ
+
+15
+00:01:09,940 --> 00:01:16,560
+particle على نقطة P، نظام الإحداثيات أن أنا بعمل له
+
+16
+00:01:16,560 --> 00:01:24,690
+unit vector، امتداد بيمر في المركز، مركز الإحداثيات،
+
+17
+00:01:24,690 --> 00:01:29,670
+فدائماً بيكون في مركز الإحداثيات اللي هو في اتجاه الـO
+
+18
+00:01:29,670 --> 00:01:34,530
+P، بعمل unit vector ER، يعني vector ER قيمته
+
+19
+00:01:34,530 --> 00:01:43,770
+واحد واتجاهه جاي من مركز O لنقطة P، والإحداثي الثاني
+
+20
+00:01:43,770 --> 00:01:47,850
+اللي هو Eθ اللي هو unit vector عمودي على الـ
+
+21
+00:01:47,850 --> 00:01:53,350
+ER، unit vector عمودي على الـER، لأن الـparticle لو
+
+22
+00:01:53,350 --> 00:02:02,530
+انتقل لموضع جديد عند
+
+23
+00:02:02,530 --> 00:02:09,030
+موضع P' هيكون
+
+24
+00:02:09,030 --> 00:02:10,170
+عندي هذا هذا
+
+25
+00:02:13,410 --> 00:02:21,390
+R هذا R' و
+
+26
+00:02:21,390 --> 00:02:33,170
+هذا ΔR، الـR' بيساوي
+
+27
+00:02:33,170 --> 00:02:36,750
+الـR زائد
+
+28
+00:02:36,750 --> 00:02:41,510
+الـΔR، طبعاً الزيادة هتكون بينهم
+
+29
+00:02:46,170 --> 00:02:54,550
+Dθ أو Δθ، كل ما صغر Δθ كل ما تصبح
+
+30
+00:02:54,550 --> 00:03:00,130
+ΔR تقريباً تصبح ΔR يقترب من التعامد على
+
+31
+00:03:00,130 --> 00:03:09,030
+الـR، معناته بالـlimit، بالـlimit هيكون تغير dER by
+
+32
+00:03:09,030 --> 00:03:18,440
+dT بيعطي Eθ، بالـlimit كل ما صغر دلتا ثيتا بيصير
+
+33
+00:03:18,440 --> 00:03:27,060
+الـΔR عمودي على الـER، معناته البعد أو
+
+34
+00:03:27,060 --> 00:03:36,120
+الإحداثي المتعامد على ER هو Eθ، معناته dER كـ
+
+35
+00:03:36,120 --> 00:03:40,420
+vector، لأن الـER vector قيمته ثابتة، اللي بيتغير
+
+36
+00:03:40,420 --> 00:03:50,440
+هوا اتجاهه، dER/dθ بتساوي
+
+37
+00:03:50,440 --> 00:03:53,800
+Eθ
+
+38
+00:03:53,800 --> 00:03:58,120
+الآن
+
+39
+00:03:58,120 --> 00:04:03,760
+في الأول كان عندي هذا الـEθ، في اللحظة الثانية
+
+40
+00:04:03,760 --> 00:04:04,020
+وصلنا
+
+41
+00:04:09,830 --> 00:04:19,890
+إلى Eθ'، فأنا أحط Eθ، Eθ هذا، Eθ
+
+42
+00:04:19,890 --> 00:04:31,210
+جانب بعض، وEθ'، و
+
+43
+00:04:31,210 --> 00:04:40,750
+الزاوية بينهم اللي هو Dθ، وهذه اللحظة كل ما تقلل
+
+44
+00:04:40,750 --> 00:04:49,830
+Δθ بتكون الـvector ΔE عمودي على E
+
+45
+00:04:49,830 --> 00:04:51,210
+θ وبعكس ER
+
+46
+00:05:07,250 --> 00:05:18,810
+طيب لو نحسب dR/dt إيش بتساوي؟ dR/d
+
+47
+00:05:18,810 --> 00:05:27,950
+θ في dθ/dt
+
+48
+00:05:27,950 --> 00:05:30,950
+dθ/dt dθ/dt dθ/dt
+
+49
+00:05:30,950 --> 00:05:34,630
+dθ
+
+50
+00:05:34,630 --> 00:05:36,530
+/dt dθ/dt dθ/dt dθ
+
+51
+00:05:36,530 --> 00:05:53,360
+/dt، Eθ، dEθ/dt بتساوي dEθ/
+
+52
+00:05:53,360 --> 00:06:02,540
+dθ في dθ/dt، نعرف أن dEθ/d
+
+53
+00:06:02,540 --> 00:06:06,320
+θ اللي هي -ER، يعني هذا هتكون -θ
+
+54
+00:06:06,320 --> 00:06:06,680
+˙
+
+55
+00:06:14,200 --> 00:06:29,060
+ER طيب لأن
+
+56
+00:06:29,060 --> 00:06:32,540
+لو بدي أعرف الـposition، position vector
+
+57
+00:06:35,460 --> 00:06:39,200
+الـparticle P باستخدام اللي هو الـradial and
+
+58
+00:06:39,200 --> 00:06:45,220
+transverse components، هأحكي الـR بيساوي
+
+59
+00:06:45,220 --> 00:06:53,580
+قيمته الـR في اتجاه إيش؟ باتجاه الـER، صح؟ أيوه، مش
+
+60
+00:06:53,580 --> 00:06:59,220
+هذا باتجاه الـER وقيمته R، طيب الـvelocity إيش
+
+61
+00:06:59,220 --> 00:07:10,030
+هيساوي الـV؟ dR/dt بتساوي مشتقة الأول في الثاني
+
+62
+00:07:10,030 --> 00:07:28,990
+اللي هي dR/dt ER زائد R dER/dt، حيث
+
+63
+00:07:28,990 --> 00:07:34,500
+ساوي هذا، dR/dt هتمثل التغير في قيمة R اللي هي
+
+64
+00:07:34,500 --> 00:07:45,900
+راح أسميها R˙ في اتجاه الـER زائد الـdER/
+
+65
+00:07:45,900 --> 00:07:53,500
+dt، حكينا اللي هي.. اللي هي θ˙ في الـE
+
+66
+00:07:53,500 --> 00:08:00,220
+θ، صح؟ زائد R θ˙ في الـEθ
+
+67
+00:08:03,300 --> 00:08:08,100
+خليني أختصرها زي ما نحكي بالأرقام اللي هي dR/dt
+
+68
+00:08:08,100 --> 00:08:24,900
+ER زائد R dθ/dt Eθ، هذه الـvelocity، طيب الـ
+
+69
+00:08:24,900 --> 00:08:32,980
+acceleration بيساوي dV/dt بتساوي
+
+70
+00:08:35,330 --> 00:08:46,370
+مشتقة هذا، صح؟ d/dt لـdR/dt في
+
+71
+00:08:46,370 --> 00:08:51,170
+الثاني ER، صح؟ زائد الأول في مشتقة الثاني، لسه أنا
+
+72
+00:08:51,170 --> 00:09:00,770
+أشتغل على هذا، زائد ER/dt في dER/
+
+73
+00:09:00,770 --> 00:09:08,210
+dt، زائد هذا الكلام كله مع بعضه، مشتقة الأول هي dR
+
+74
+00:09:08,210 --> 00:09:19,090
+/dt في الثاني اللي هو dθ/dt في الثالث Eθ، زائد
+
+75
+00:09:19,090 --> 00:09:29,880
+الأول في مشتقة الثاني، d/dt لـdθ/dt في
+
+76
+00:09:29,880 --> 00:09:40,100
+الثالث زائد الأول في الثاني في مشتقة الثالث، dE
+
+77
+00:09:40,100 --> 00:09:49,200
+θ/dt، يعني هتكون تساوي، d²/dt² هي مشتقة
+
+78
+00:09:49,200 --> 00:10:01,350
+ثانية للدالة، هتكون d²R/dt² ER زائد
+
+79
+00:10:01,350 --> 00:10:04,950
+هذه
+
+80
+00:10:04,950 --> 00:10:13,670
+dR/dt dER/dt التي هي عبارة عن إيش؟ θ
+
+81
+00:10:13,670 --> 00:10:24,480
+˙Eθ، صح؟ هذه هتزيد، dR/dt هذه بتكون تساوي
+
+82
+00:10:24,480 --> 00:10:36,860
+θ˙ Eθ زائد
+
+83
+00:10:36,860 --> 00:10:47,920
+dR/dt في dθ/dt Eθ
+
+84
+00:10:52,440 --> 00:11:01,740
+زائد هذا هتكون R d²θ/dt² في الـ
+
+85
+00:11:01,740 --> 00:11:05,780
+Eθ زائد
+
+86
+00:11:05,780 --> 00:11:15,020
+R dθ/dt، الـdθ/dt يعني بيعبر عن إيش؟ -θ˙ الـER
+
+87
+00:11:15,020 --> 00:11:20,540
+×ER
+
+88
+00:11:25,760 --> 00:11:28,440
+خليني أعرف
+
+89
+00:11:30,470 --> 00:11:41,890
+R˙ هي dR/dt، R¨ هي d²R/dt²
+
+90
+00:11:41,890 --> 00:11:50,310
+θ˙ هي dθ/dt، θ¨ هي d²
+
+91
+00:11:50,310 --> 00:11:56,830
+θ/dt² ونعوض
+
+92
+00:12:00,020 --> 00:12:16,840
+R¨ ER زائد R˙ θ˙ Eθ زائد
+
+93
+00:12:16,840 --> 00:12:25,500
+R˙ θ˙ Eθ زائد
+
+94
+00:12:25,500 --> 00:12:29,040
+R θ¨
+
+95
+00:12:32,150 --> 00:12:37,650
+Eθ - R
+
+96
+00:12:37,650 --> 00:12:47,070
+θ˙² ER، بأخذ
+
+97
+00:12:47,070 --> 00:12:53,370
+الـterms بتاعة الـER لحالها، هيكون عندي هنا، عندي هنا
+
+98
+00:12:53,370 --> 00:12:55,990
+R¨ هذه term
+
+99
+00:12:59,500 --> 00:13:07,760
+-R θ˙² باتجاه ER، خلص الـterm هذا والـterm
+
+100
+00:13:07,760 --> 00:13:08,080
+هذا
+
+101
+00:13:13,970 --> 00:13:24,570
+هتكون 2R˙ θ˙ هذا وهذا زائد
+
+102
+00:13:24,570 --> 00:13:32,350
+R θ¨ باتجاه
+
+103
+00:13:32,350 --> 00:13:39,150
+الـEθ، هذه معادلة الـacceleration
+
+104
+00:13:40,610 --> 00:13:44,870
+هذه معادلات الـV التي هي R˙ ER زائد R˙ E
+
+105
+00:13:44,870 --> 00:13:48,690
+θ وهذا Position Vector، هذا طبعاً باستخدام الـ
+
+106
+00:13:48,690 --> 00:13:55,150
+Radial وTransverse Coordinate System
+
+107
+00:14:00,070 --> 00:14:03,990
+طيب أنا ليش بستخدم.. ليش ما أستخدم مثلاً إحداثيات
+
+108
+00:14:03,990 --> 00:14:08,470
+ديكارتية أو إحداثيات النظام اللي هو tangential و
+
+109
+00:14:08,470 --> 00:14:13,530
+normal أو radial وpolar، يعني في داعي يكون عندنا
+
+110
+00:14:13,530 --> 00:14:14,930
+كذا نظام إحداثيات؟
+
+111
+00:14:17,840 --> 00:14:21,220
+حسب طبيعة المسألة، بعض الأحيان أسهل أحل باستخدام
+
+112
+00:14:21,220 --> 00:14:24,640
+الـTangential Normal، بعض الأحيان أسهل أحل باستخدام
+
+113
+00:14:24,640 --> 00:14:29,340
+الإحداثيات اللي ذكرناها، بعض الأحيان أسهل باستخدام
+
+114
+00:14:29,340 --> 00:14:32,760
+الـRadial والـTransverse component، عشان هيك بالضبط
+
+115
+00:14:32,760 --> 00:14:44,360
+نتعامل مع أكثر من نظام إحداثيات، طيب
+
+116
+00:14:44,360 --> 00:14:45,000
+في الـ3D
+
+117
+00:14:47,960 --> 00:14:55,860
+إذا كان particle بيتحرك في 3D على curve 3D، 3D معناته
+
+118
+00:14:55,860 --> 00:15:06,860
+فيه بعد ثالث، الـZ، هتكون الـR أي
+
+119
+00:15:06,860 --> 00:15:07,780
+curve 3D
+
+120
+00:15:19,750 --> 00:15:22,930
+بيكون الـprojection على الـXY plane، يعني اللي
+
+121
+00:15:22,930 --> 00:15:28,010
+بنشوفه من الـtop view بيكون بنشوف curve 2D، معناته
+
+122
+00:15:28,010 --> 00:15:32,230
+بيكون particle بيتحرك في 2D along a curve، زائد الـ
+
+123
+00:15:32,230 --> 00:15:37,210
+component، إيش يعني؟ زائد بنحكي هذه curve زي زي هيك، و
+
+124
+00:15:37,210 --> 00:15:40,970
+الـparticle في النقطة هذه، بنشوفه من الـtop view
+
+125
+00:15:40,970 --> 00:15:46,110
+هنشوف برضه curve، معناته هتكون في الـ3D بيتحرك على
+
+126
+00:15:46,110 --> 00:15:51,670
+curve في الـ2D، زائد إيش؟ الـZ component، معناته الـR
+
+127
+00:15:51,670 --> 00:16:00,730
+كـvector بيساوي R هذا along الـER زائد الـZ
+
+128
+00:16:00,730 --> 00:16:05,700
+component زائد باتجاه الـK، إذا بشتق هأحصل نفس
+
+129
+00:16:05,700 --> 00:16:10,300
+المعادلة، V بيساوي R˙ ER زائد R θ˙ Eθ
+
+130
+00:16:10,300 --> 00:16:14,580
+زائد Z˙ باتجاه الـK، والـacceleration في radial
+
+131
+00:16:14,580 --> 00:16:19,840
+component وفي transverse component وفي component
+
+132
+00:16:19,840 --> 00:16:24,760
+باتجاه الـZ أو الـK، شوف مثال
+
+133
+00:16:31,080 --> 00:16:38,640
+The rotation of the 0.9-meter arm OA is
+
+134
+00:16:38,640 --> 00:16:41,860
+defined by the relation θ = 0.15
+
+135
+00:16:41,860 --> 00:16:44,760
+T²، الآن في عندي arm بيدور في المستوى الأفقي
+
+136
+00:16:44,760 --> 00:16:53,120
+بيدور في المستوى الأفقي حوالي نقطة إيش؟ O، حوالي
+
+137
+00:16:53,120 --> 00:16:56,060
+نقطة إيش؟ O، يعني هي محور الدوران
+
+138
+00:16:58,660 --> 00:17:04,840
+الـrotation θ معرفة بالعلاقة بـ
+
+139
+00:17:04,840 --> 00:17:10,520
+0.15 T²
+
+140
+00:17:10,520 --> 00:17:13,800
+where
+
+141
+00:17:13,800 --> 00:17:18,320
+θ is expressed in radians and T in seconds، فأنا
+
+142
+00:17:18,320 --> 00:17:22,300
+جسم
+
+143
+00:17:22,300 --> 00:17:27,440
+B slides along the arm in such a way
+
+144
+00:17:30,700 --> 00:17:42,060
+بيدور بطريقة ما بحيث بعده عن المركز r بيساوي
+
+145
+00:17:42,060 --> 00:17:45,980
+0.9 -
+
+146
+00:17:45,980 --> 00:17:50,300
+0.12 T²
+
+147
+00:17:50,300 --> 00:17:55,340
+حيث r is expressed in meters and T in seconds
+
+148
+00:18:00,100 --> 00:18:03,340
+after the arm OA has rotated through 30
+
+149
+00:18:03,340 --> 00:18:09,700
+degrees
+
+150
+00:18:09,700 --> 00:18:10,040
+at θ = 30 درجة يعني كم radians هتكون؟
+
+151
+00:18:14,840 --> 00:18:22,120
+30 × π/180 يعني π/6
+
+152
+00:18:22,120 --> 00:18:29,120
+radians، صح؟ determine
+
+153
+00:18:29,120 --> 00:18:36,800
+the total velocity of the collar
+
+154
+00:18:36,800 --> 00:18:39,400
+of B
+
+155
+00:18:43,270 --> 00:18:47,410
+طبعاً في هذه الحالة واضح أن الذراع OA بيدور، معناته
+
+156
+00:18:47,410 --> 00:18:51,170
+دائماً الـposition vector، position vector تاع الـ
+
+157
+00:18:51,170 --> 00:18:57,110
+collar دائماً في اتجاه المركز، صح؟ في هذه الحالة أحسن
+
+158
+00:18:57,110 --> 00:19:01,430
+شيء أستخدم اللي هي الـradial and transverse
+
+159
+00:19:01,430 --> 00:19:08,970
+components، طيب عشان أحسب السرعة، معادلة السرعة شو
+
+160
+00:19:08,970 --> 00:19:09,510
+بتساوي V
+
+161
+00:19:13,510 --> 00:19:23,690
+هذه المعادلة بتساوي R R˙ باتجاه الـER زائد R
+
+162
+00:19:23,690 --> 00:19:31,910
+θ˙ باتجاه الـEθ، والـA بتساوي R
+
+163
+00:19:31,910 --> 00:19:39,910
+¨ - 2R θ˙² أنا ما حطيتش الـZ، ناقص R θ˙²
+
+164
+00:19:39,910 --> 00:19:53,300
+×ER زائد R θ¨ زائد
+
+165
+00:19:53,300 --> 00:20:01,560
+2
+
+166
+00:20:01,560 --> 00:20:14,400
+R˙ θ˙Eθ، فأنا بالضبط هأحسب إيش؟ الـ
+
+167
+00:20:14,400 --> 00:20:19,580
+θ˙ إيش
+
+168
+00:20:19,580 --> 00:20:26,420
+هتساوي dθ/dt يعني كم؟ 0.15 في
+
+169
+00:20:26,420 --> 00:20:34,800
+2 = 0.3 T، وθ¨ = 0.3
+
+170
+00:20:34,800 --> 00:20:44,770
+هنا، R˙ هتكون -0.24 T
+
+171
+00:20:44,770 --> 00:21:01,550
+وR¨ = -0.24
+
+172
+00:21:01,550 --> 00:21:04,630
+هتكون
+
+173
+00:21:04,630 --> 00:21:07,910
+بتساوي R˙ اللي هي -
+
+174
+00:21:11,800 --> 00:21:21,420
+0.24T along الـr زائد
+
+175
+00:21:21,420 --> 00:21:26,580
+الـ
+
+176
+00:21:26,580 --> 00:21:36,140
+r اللي هي 0.9 في
+
+177
+00:21:36,140 --> 00:21:45,440
+θ˙ اللي هي 0.3 T باتجاه الـEθ
+
+178
+00:21:45,440 --> 00:21:48,500
+والـ
+
+179
+00:21:48,500 --> 00:21:55,460
+acceleration هتكون بتساوي R¨ -0.24
+
+180
+00:21:55,460 --> 00:22:05,060
+- θ˙² اللي هي 0.3 T الكل تربيع في الـR اللي هي 0.9 -
+
+181
+00:22:05,060 --> 00:22:17,140
+0.12 T² هذا
+
+182
+00:22:17,140 --> 00:22:25,780
+كله في إيش؟ في
+
+183
+00:22:25,780 --> 00:22:30,360
+اتجاه الـ
+
+184
+00:22:30,360 --> 00:22:34,100
+ER زائد
+
+185
+00:22:43,970 --> 00:22:50,470
+الـθ¨ هي 0.3 في
+
+186
+00:22:50,470 --> 00:23:01,510
+الـR هي 0.9 زائد
+
+187
+00:23:01,510 --> 00:23:15,130
+2 في R˙ هي -0
+
+223
+00:27:29,450 --> 00:27:35,650
+الـ V هتكون تساوي R dot ليه minus
+
+224
+00:27:39,210 --> 00:27:47,790
+.4483 باتجاه الـ E R زائد الـ
+
+225
+00:27:47,790 --> 00:27:56,810
+R بوينت أربعة ثمانية ثمانية واحد في الـ theta dot
+
+226
+00:27:56,810 --> 00:28:03,090
+اللي هي point خمسة ستة صفر أربعة يعني هتكون السالب
+
+227
+00:28:03,090 --> 00:28:04,750
+minus point أربعة
+
+228
+00:28:07,880 --> 00:28:16,140
+أربعة ثمانية ثلاثة هذا الـ E ثيتا باتجاه الـ E R زائد
+
+229
+00:28:16,140 --> 00:28:19,700
+دول الرقمين دول point أربعة ثمانية ثمانية واحد في
+
+230
+00:28:19,700 --> 00:28:25,580
+point خمسة ستة صفر أربعة افترض
+
+231
+00:28:25,580 --> 00:28:32,320
+أن هذه صحيحة وكمل عليها ماشي افترض أن هذه صحيحة وكمل
+
+232
+00:28:32,320 --> 00:28:41,640
+عليها وصلها لحالتكم الـ point؟ 26 أعطينا أربعة أرقام
+
+233
+00:28:41,640 --> 00:28:44,840
+point
+
+234
+00:28:44,840 --> 00:28:48,560
+2696
+
+235
+00:28:48,560 --> 00:28:59,820
+E ثيتا معناه الـ total velocity شويه هساوي الـ
+
+236
+00:28:59,820 --> 00:29:07,210
+V هتكون كميتها، جزء التربيع لها تربيع، زي تربيعها صح؟
+
+237
+00:29:07,210 --> 00:29:13,790
+هتكون الجذر التربيعي لـ point أربعة أربعة ثمانية
+
+238
+00:29:13,790 --> 00:29:22,230
+ثلاثة تربيع زائد point اثنين ستة تسعة ستة تربيع
+
+239
+00:29:22,230 --> 00:29:26,650
+هذا
+
+240
+00:29:26,650 --> 00:29:28,330
+الـ total velocity بالنسبة للـ acceleration
+
+241
+00:29:38,590 --> 00:29:43,090
+الـ acceleration حكينا
+
+242
+00:29:43,090 --> 00:29:48,890
+نعملها على مرحلتين احكي الـ AR الـ
+
+243
+00:29:48,890 --> 00:29:53,030
+radial component للـ acceleration بيساوي R double
+
+244
+00:29:53,030 --> 00:29:57,590
+dot ناقص
+
+245
+00:29:57,590 --> 00:30:05,930
+R ثيتا dot تربيع R double dot ناقص point اثنين
+
+246
+00:30:05,930 --> 00:30:16,020
+أربعة ناقص الـ R ناقص point أربعة ثمانية ثمانية في
+
+247
+00:30:16,020 --> 00:30:25,400
+الـ theta dot تربيع في point خمسة ستة صفر أربعة
+
+248
+00:30:25,400 --> 00:30:30,280
+نحصل عليها تربيع
+
+249
+00:30:42,170 --> 00:30:50,430
+بالنسبة لـ A ثيتا اللي هي R ثيتا double dot زائد
+
+250
+00:30:50,430 --> 00:30:57,110
+اثنين R dot ثيتا dot هيساوي الـ R اللي هي point
+
+251
+00:30:57,110 --> 00:31:05,290
+أربعة ثمانية ثمانية في الـ theta double dot اللي هي
+
+252
+00:31:05,290 --> 00:31:06,150
+point ثلاثة
+
+253
+00:31:09,880 --> 00:31:20,740
+زائد اثنين في R dot اللي هي minus point أربعة أربعة
+
+254
+00:31:20,740 --> 00:31:25,680
+ثمانية ثلاثة في
+
+255
+00:31:25,680 --> 00:31:29,800
+ثيتا dot في
+
+256
+00:31:29,800 --> 00:31:36,640
+point خمسة ستة صفر أربعة
+
+257
+00:31:41,930 --> 00:31:47,830
+أكم قيمة AR أكم قيمة A ثيتا AR سالب خمسة سالب
+
+258
+00:31:47,830 --> 00:31:52,290
+point ثلاثة خمسة ثمانية واحد هذا سالب ثلاثة تسعة سالب
+
+259
+00:31:52,290 --> 00:31:57,510
+ثلاثة خمسة سالب في point ثلاثة تسعة ثلاثة تسعة في
+
+260
+00:31:57,510 --> 00:32:05,510
+point عند الـ AR يعني عند الـ AR لا لا الـ ثيتا أكم
+
+261
+00:32:05,510 --> 00:32:11,510
+الـ ثيتا أكم الـ ثيتا ثلاثة خمسة ثمانية واحد
+
+262
+00:32:14,240 --> 00:32:22,520
+اللي هو meter per second square والـ AR سالب واحد
+
+263
+00:32:22,520 --> 00:32:32,580
+سالب واحد سالب واحد سالب واحد سالب واحد سالب واحد
+
+264
+00:32:32,580 --> 00:32:34,820
+سالب واحد سالب واحد سالب واحد سالب واحد سالب واحد
+
+265
+00:32:34,820 --> 00:32:34,880
+سالب واحد سالب واحد سالب واحد سالب واحد سالب واحد
+
+266
+00:32:34,880 --> 00:32:34,920
+سالب واحد سالب واحد سالب واحد سالب واحد سالب واحد
+
+267
+00:32:34,920 --> 00:32:35,200
+سالب واحد سالب واحد سالب واحد سالب واحد سالب واحد
+
+268
+00:32:35,200 --> 00:32:40,960
+سالب واحد سالب
+
+269
+00:32:42,110 --> 00:32:45,350
+أنا هقول جزء التربيع يالا point ثلاثة تسعة واحد
+
+270
+00:32:45,350 --> 00:32:49,650
+واحد تربيع زي الـ point ثلاثة خمسة ثمانية واحد
+
+271
+00:32:49,650 --> 00:32:59,050
+تربيع point خمسة
+
+272
+00:32:59,050 --> 00:33:05,330
+صفر او
+
+273
+00:33:05,330 --> 00:33:06,350
+نهر بسامية
+
+274
+00:33:20,340 --> 00:33:26,440
+المطلوب الثالث بده relative acceleration of
+
+275
+00:33:26,440 --> 00:33:34,200
+the collar with respect to the arm ايش
+
+276
+00:33:34,200 --> 00:33:41,520
+سرعة الـ collar بالنسبة للذراع او
+
+277
+00:33:41,520 --> 00:33:44,960
+ايش الـ acceleration للـ collar بالنسبة للذراع
+
+278
+00:33:49,640 --> 00:33:55,720
+بدك أنت تكون تخيل أنت هنا جالس و بتدور معاه، ايش
+
+279
+00:33:55,720 --> 00:34:03,720
+هتشوف؟ يعني
+
+280
+00:34:03,720 --> 00:34:07,880
+الحركة .. حركة الـ collar بالنسبة للذراع sliding slide
+
+281
+00:34:07,880 --> 00:34:13,380
+بالنسبة له، مظبوط؟ معناته يمثل
+
+282
+00:34:16,030 --> 00:34:25,870
+يمثل R Double Dot مش
+
+283
+00:34:25,870 --> 00:34:35,590
+AR لأن AR جزء منها جاء من جزءين تغير في R في تغير في
+
+284
+00:34:35,590 --> 00:34:43,280
+θفهو أنا لما الـ reference بتاعي كان أنا جالس على
+
+285
+00:34:43,280 --> 00:34:47,740
+الـ .. على الـ .. على الذراع و بدور خلاص كانت الـ
+
+286
+00:34:47,740 --> 00:34:53,820
+ثيتا مش موجودة صح؟ لأ أنا بلف معاه ف أنا بلف معاه
+
+287
+00:34:53,820 --> 00:35:01,960
+فبتكون اللي هي الـ a للـ collar بالنسبة
+
+288
+00:35:01,960 --> 00:35:21,190
+للـ armاللي هتكون R double dot اللي هي minus point
+
+289
+00:35:21,190 --> 00:35:29,470
+four meter per second square في
+
+290
+00:35:29,470 --> 00:35:30,190
+أي سؤال؟
+
+291
+00:35:36,590 --> 00:35:39,630
+طيب هيك يكون خلصنا الـ chapter لامتحان يوم الأثنين
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/3r0WZlPm7mI_raw.json b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/3r0WZlPm7mI_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..8fd30b958545cbd84fc98faa3d1db722c15892b7
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/3r0WZlPm7mI_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2944, "start": 5.18, "end": 29.44, "text": "بسم الله الرحمن الرحيم السلام عليكم و رحمة الله و بركاته اليوم هنكمل في مادة الديناميكا احنا بدأنا chapter 11 اللي هي kinematics of particles المحاضرة الفاتحة حكينا عن ال tangential و ال normal components حكينا ال acceleration او السرعة عادة بتكون مماسة .. السرعة بتكون دايما مماسة لمصار الحركة", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 12602, 35571, 3660, 21984, 4032, 4724, 31747, 9307, 3224, 45595, 20498, 8032, 1863, 24793, 1211, 8978, 3714, 18513, 3660, 2423, 16254, 8315, 2304, 1829, 4117, 995, 1975, 5016, 8315, 47525, 10721, 8315, 7187, 2975, 13672, 1829, 39896, 15784, 37541, 295, 10007, 9673, 5016, 46958, 25720, 27188, 9307, 5016, 3660, 11331, 4117, 1829, 8315, 18871, 2423, 10266, 2549, 4032, 2423, 2710, 6677, 11331, 4117, 1829, 8315, 2423, 17162, 1975, 2407, 21136, 2288, 27884, 6225, 18513, 3660, 39894, 30544, 3714, 15042, 3794, 3660, 4386, 21136, 2288, 27884, 39894, 30544, 11778, 47302, 15042, 3714, 15042, 3794, 3660, 32767, 9381, 9640, 21542, 31747, 3660], "avg_logprob": -0.126222832047421, "compression_ratio": 1.8108108108108107, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 5.18, "end": 5.7, "word": "بسم", "probability": 0.851318359375}, {"start": 5.7, "end": 5.96, "word": " الله", "probability": 0.96875}, {"start": 5.96, "end": 6.26, "word": " الرحمن", "probability": 0.9453125}, {"start": 6.26, "end": 6.54, "word": " الرحيم", "probability": 0.9860026041666666}, {"start": 6.54, "end": 6.9, "word": " السلام", "probability": 0.92138671875}, {"start": 6.9, "end": 7.4, "word": " عليكم", "probability": 0.94921875}, {"start": 7.4, "end": 7.58, "word": " و", "probability": 0.99853515625}, {"start": 7.58, "end": 7.82, "word": " رحمة", "probability": 0.8701171875}, {"start": 7.82, "end": 8.02, "word": " الله", "probability": 0.974609375}, {"start": 8.02, "end": 8.18, "word": " و", "probability": 0.98046875}, {"start": 8.18, "end": 8.62, "word": " بركاته", "probability": 0.9114990234375}, {"start": 8.62, "end": 8.84, "word": " اليوم", "probability": 0.828857421875}, {"start": 8.84, "end": 9.34, "word": " هنكمل", "probability": 0.9647216796875}, {"start": 9.34, "end": 9.5, "word": " في", "probability": 0.9306640625}, {"start": 9.5, "end": 9.86, "word": " مادة", "probability": 0.8663736979166666}, {"start": 9.86, "end": 10.46, "word": " الديناميكا", "probability": 0.856689453125}, {"start": 10.46, "end": 10.64, "word": " احنا", "probability": 0.8826497395833334}, {"start": 10.64, "end": 10.94, "word": " بدأنا", "probability": 0.8414713541666666}, {"start": 10.94, "end": 11.28, "word": " chapter", "probability": 0.4326171875}, {"start": 11.28, "end": 11.74, "word": " 11", "probability": 0.591796875}, {"start": 11.74, "end": 12.44, "word": " اللي", "probability": 0.885009765625}, {"start": 12.44, "end": 12.56, "word": " هي", "probability": 0.8017578125}, {"start": 12.56, "end": 13.14, "word": " kinematics", "probability": 0.922119140625}, {"start": 13.14, "end": 13.66, "word": " of", "probability": 0.98291015625}, {"start": 13.66, "end": 14.62, "word": " particles", "probability": 0.931640625}, {"start": 14.62, "end": 15.86, "word": " المحاضرة", "probability": 0.971435546875}, {"start": 15.86, "end": 16.18, "word": " الفاتحة", "probability": 0.8876953125}, {"start": 16.18, "end": 16.56, "word": " حكينا", "probability": 0.96533203125}, {"start": 16.56, "end": 16.78, "word": " عن", "probability": 0.994140625}, {"start": 16.78, "end": 17.2, "word": " ال", "probability": 0.912109375}, {"start": 17.2, "end": 18.58, "word": " tangential", "probability": 0.9716796875}, {"start": 18.58, "end": 18.8, "word": " و", "probability": 0.8642578125}, {"start": 18.8, "end": 18.9, "word": " ال", "probability": 0.88671875}, {"start": 18.9, "end": 19.26, "word": " normal", "probability": 0.85595703125}, {"start": 19.26, "end": 20.7, "word": " components", "probability": 0.91650390625}, {"start": 20.7, "end": 21.88, "word": " حكينا", "probability": 0.9732666015625}, {"start": 21.88, "end": 22.5, "word": " ال", "probability": 0.9091796875}, {"start": 22.5, "end": 23.68, "word": " acceleration", "probability": 0.818359375}, {"start": 23.68, "end": 24.3, "word": " او", "probability": 0.773681640625}, {"start": 24.3, "end": 24.76, "word": " السرعة", "probability": 0.80419921875}, {"start": 24.76, "end": 25.18, "word": " عادة", "probability": 0.9739583333333334}, {"start": 25.18, "end": 25.72, "word": " بتكون", "probability": 0.945068359375}, {"start": 25.72, "end": 26.46, "word": " مماسة", "probability": 0.746826171875}, {"start": 26.46, "end": 26.56, "word": " ..", "probability": 0.5146484375}, {"start": 26.56, "end": 26.88, "word": " السرعة", "probability": 0.97705078125}, {"start": 26.88, "end": 27.22, "word": " بتكون", "probability": 0.945556640625}, {"start": 27.22, "end": 27.6, "word": " دايما", "probability": 0.8318684895833334}, {"start": 27.6, "end": 28.24, "word": " 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2087.32, "end": 2087.64, "word": " كانت", "probability": 0.6351318359375}, {"start": 2087.64, "end": 2087.74, "word": " ال", "probability": 0.61572265625}, {"start": 2087.74, "end": 2088.0, "word": " theta", "probability": 0.55078125}, {"start": 2088.0, "end": 2088.16, "word": " مش", "probability": 0.9873046875}, {"start": 2088.16, "end": 2088.96, "word": " موجودة", "probability": 0.98388671875}, {"start": 2088.96, "end": 2089.62, "word": " صح؟", "probability": 0.7527669270833334}, {"start": 2089.62, "end": 2090.06, "word": " لأ", "probability": 0.6170654296875}, {"start": 2090.06, "end": 2090.5, "word": " انا", "probability": 0.6190185546875}, {"start": 2090.5, "end": 2090.74, "word": " بلف", "probability": 0.907470703125}, {"start": 2090.74, "end": 2091.12, "word": " معاه", "probability": 0.75390625}, {"start": 2091.12, "end": 2092.72, "word": " فانا", "probability": 0.7902018229166666}, {"start": 2092.72, "end": 2093.14, "word": " بلف", "probability": 0.964111328125}, {"start": 2093.14, "end": 2093.82, "word": " معاه", "probability": 0.986572265625}, {"start": 2093.82, "end": 2094.66, "word": " فبتكون", "probability": 0.95458984375}, {"start": 2094.66, "end": 2094.84, "word": " اللي", "probability": 0.6995849609375}, {"start": 2094.84, "end": 2095.08, "word": " هي", "probability": 0.876953125}, {"start": 2095.08, "end": 2095.32, "word": " ال", "probability": 0.96533203125}, {"start": 2095.32, "end": 2095.64, "word": " a", "probability": 0.6435546875}, {"start": 2095.64, "end": 2097.28, "word": " لل", "probability": 0.669921875}, {"start": 2097.28, "end": 2097.72, "word": " color", "probability": 0.85986328125}, {"start": 2097.72, "end": 2101.96, "word": " بالنسبة", "probability": 0.9942626953125}, {"start": 2101.96, "end": 2102.94, "word": " لل", "probability": 0.951171875}, {"start": 2102.94, "end": 2103.42, "word": " arm", "probability": 0.89892578125}], "temperature": 1.0}, {"id": 76, "seek": 213019, "start": 2104.65, "end": 2130.19, "text": "اللي هتكون R 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{"start": 2111.45, "end": 2121.19, "word": " point", "probability": 0.732421875}, {"start": 2121.19, "end": 2121.67, "word": " four", "probability": 0.744140625}, {"start": 2121.67, "end": 2122.23, "word": " meter", "probability": 0.62451171875}, {"start": 2122.23, "end": 2123.47, "word": " per", "probability": 0.91357421875}, {"start": 2123.47, "end": 2123.79, "word": " second", "probability": 0.90234375}, {"start": 2123.79, "end": 2124.29, "word": " square", "probability": 0.53759765625}, {"start": 2124.29, "end": 2129.47, "word": " في", "probability": 0.7998046875}, {"start": 2129.47, "end": 2129.57, "word": " أي", "probability": 0.427734375}, {"start": 2129.57, "end": 2130.19, "word": " سؤال؟", "probability": 0.94189453125}], "temperature": 1.0}, {"id": 77, "seek": 213963, "start": 2136.59, "end": 2139.63, "text": "طيب هيك يكون خلصنا ال chapter لامتحان يوم تستد", "tokens": [9566, 1829, 3555, 39896, 4117, 7251, 30544, 16490, 1211, 9381, 8315, 2423, 7187, 5296, 10943, 2655, 5016, 7649, 7251, 20498, 6055, 14851, 3215], "avg_logprob": -0.19189452566206455, "compression_ratio": 0.9871794871794872, "no_speech_prob": 0.0, "words": [{"start": 2136.59, "end": 2136.89, "word": "طيب", "probability": 0.8898111979166666}, {"start": 2136.89, "end": 2137.07, "word": " هيك", "probability": 0.84375}, {"start": 2137.07, "end": 2137.31, "word": " يكون", "probability": 0.8466796875}, {"start": 2137.31, "end": 2137.83, "word": " خلصنا", "probability": 0.9871826171875}, {"start": 2137.83, "end": 2138.03, "word": " ال", "probability": 0.50244140625}, {"start": 2138.03, "end": 2138.37, "word": " chapter", "probability": 0.943359375}, {"start": 2138.37, "end": 2138.95, "word": " لامتحان", "probability": 0.873876953125}, {"start": 2138.95, "end": 2139.13, "word": " يوم", "probability": 0.84033203125}, {"start": 2139.13, "end": 2139.63, "word": " تستد", "probability": 0.6276041666666666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2140.276, "duration_after_vad": 1939.6899999999955}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/6CIkzTmNVrQ_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/6CIkzTmNVrQ_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0042643912ff32ec326bf2bea8856c995b625404
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/6CIkzTmNVrQ_postprocess.srt
@@ -0,0 +1,1252 @@
+1
+00:00:05,470 --> 00:00:08,030
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,030 --> 00:00:12,590
+وبركاته هنكمل في مادة ال dynamics اليوم هندخل
+
+3
+00:00:12,590 --> 00:00:16,050
+chapter جديد اللي هو kinetics of particles energy
+
+4
+00:00:16,050 --> 00:00:20,410
+and momentum method احنا امتحان الجاي متوقع يكون
+
+5
+00:00:20,410 --> 00:00:25,450
+بتاريخ اتنين و عشرين تلاتة يوم الأربع يعني يعني
+
+6
+00:00:25,450 --> 00:00:31,810
+اخر يوم في شعبها في
+
+7
+00:00:31,810 --> 00:00:37,690
+chapter تلاتاشدرسنا حركة حركة الجثيمات من خلال
+
+8
+00:00:37,690 --> 00:00:42,150
+قانون يوتن تانية حكينا ال net force المؤثر على
+
+9
+00:00:42,150 --> 00:00:48,150
+الجسم بتساوي ال mass في ال acceleration شبط تلتاش
+
+10
+00:00:48,150 --> 00:00:52,090
+حنضيف طريقتين اجداد اللي هي method of work and
+
+11
+00:00:52,090 --> 00:00:56,150
+energy و method of impulse and momentum في method
+
+12
+00:00:56,150 --> 00:01:01,530
+of work and energy بنعمل رابط بين force القوة و
+
+13
+00:01:01,530 --> 00:01:07,940
+كتلة ال massوالسرعة والإزاعة في طريقة ال impulse
+
+14
+00:01:07,940 --> 00:01:12,780
+and momentum نربط بين ال force و ال mass و ال
+
+15
+00:01:12,780 --> 00:01:20,760
+velocity و الزمن ال
+
+16
+00:01:20,760 --> 00:01:21,860
+work of a force
+
+17
+00:01:29,180 --> 00:01:34,000
+هي قيمة الطاقة اللي لازم تبدل عشان إحداث إزاحة
+
+18
+00:01:34,000 --> 00:01:38,420
+قيمة الطاقة اللي تبدل أو قيمة الشغل الناس يسموه
+
+19
+00:01:38,420 --> 00:01:44,440
+الشغل الشغل الطاقة الطاقة أو الشغل اللازم عشان
+
+20
+00:01:44,440 --> 00:01:50,120
+أحدث إزاحة عشان أحدث إزاحة عشان يصير إزاحة أحب
+
+21
+00:01:50,120 --> 00:01:55,540
+أحرك أيش من مكان لمكان محتاج ل force by definition
+
+22
+00:01:55,540 --> 00:02:04,010
+في عندنا particleهذه مركز الإحداثية او او في لحظة
+
+23
+00:02:04,010 --> 00:02:08,290
+واحد كان عند نقطة a في لحظة تانية صار عند نقطة a
+
+24
+00:02:08,290 --> 00:02:12,910
+prime لما كان عند a موقعه كان على بعد r لما كان
+
+25
+00:02:12,910 --> 00:02:19,770
+عند a prime صار عند r زائد dr معناته هذا هيكون
+
+26
+00:02:19,770 --> 00:02:25,730
+ايش؟التغير في ال position DR ال work of the force
+
+27
+00:02:25,730 --> 00:02:30,850
+اللي هو دي ال work هكون اللي هو ال scalar او ال
+
+28
+00:02:30,850 --> 00:02:35,490
+dot product لل F dot DR ال scalar product هكون ال
+
+29
+00:02:35,490 --> 00:02:40,830
+force في الإزاحة قيمة الإزاحة في cosine الزاوية
+
+30
+00:02:40,830 --> 00:02:45,090
+يعني في cosine الزاوية اللي هي cosine Alpha او اذا
+
+31
+00:02:45,090 --> 00:02:52,390
+استخدمت المراكبات الدي كرتية ايه كان عندىالـ F
+
+32
+00:02:52,390 --> 00:02:57,930
+بالساوية Fx
+
+33
+00:02:57,930 --> 00:03:07,210
+اتجاه الـ I زاد Fy اتجاه الـ J زاد Fz اتجاه الـ K
+
+34
+00:03:07,210 --> 00:03:12,450
+و الـ Dr ك vector اللي لها تلاتة components DXI
+
+35
+00:03:12,450 --> 00:03:20,030
+زاد DYJ زاد DZK الـ F
+
+36
+00:03:22,980 --> 00:03:31,280
+.dr هيكون fx dx زائد
+
+37
+00:03:31,280 --> 00:03:35,840
+fy dy زائد
+
+38
+00:03:35,840 --> 00:03:43,760
+fz dz طبعا
+
+39
+00:03:43,760 --> 00:03:55,940
+الشغل كمية غير متجهةالطاقة ممكن تكون بأي شكل و
+
+40
+00:03:55,940 --> 00:03:59,720
+أشكال، ممكن تكون على شكل طاقة حركة أو .. أو طاقة
+
+41
+00:03:59,720 --> 00:04:05,060
+وضع ممكن تكون طاقة حرارية، طاقة مكانك .. الحرارة
+
+42
+00:04:05,060 --> 00:04:09,680
+مثلا الطاقة موجودة وين ما كان صح؟ مافيش اتجاه محدد
+
+43
+00:04:09,680 --> 00:04:17,240
+لأ عشان هيك بسميها كمية غير متجهة يعني
+
+44
+00:04:17,240 --> 00:04:24,080
+في عندي particle .. عندي particleماشي على مسار
+
+45
+00:04:24,080 --> 00:04:33,180
+منحني بدأ بالنقطة O كانت displacement له لما كان
+
+46
+00:04:33,180 --> 00:04:43,630
+عند رقم النقطة واحد كان له اذاها S واحدعندي اتنين
+
+47
+00:04:43,630 --> 00:04:52,770
+كانت إذاحته S اتنين و خلال فترة من واحد لاتنين كان
+
+48
+00:04:52,770 --> 00:05:01,310
+تحت تحت أثير قوة F في لحظة معينة كانت ال force F
+
+49
+00:05:01,310 --> 00:05:08,190
+مع الإذاعة DS تم الزاوية Alpha معناه الشغل المبدول
+
+50
+00:05:09,050 --> 00:05:12,630
+أو الطاقة المبدولة من ال position واحد إلى
+
+51
+00:05:12,630 --> 00:05:16,750
+position اتنين احنا حكينا du بيساوي f dot dr
+
+52
+00:05:16,750 --> 00:05:20,550
+معناته لو اعمل integral من واحد إلى اتنين بيصير u
+
+53
+00:05:20,550 --> 00:05:22,550
+من واحد إلى اتنين الشغل المبدو من واحد إلى اتنين
+
+54
+00:05:22,550 --> 00:05:27,930
+بيكون تكامل f dot dr من واحد إلى اتنين ال f dot dr
+
+55
+00:05:27,930 --> 00:05:34,910
+هتكون f cosine alpha ds ال f cosine alpha بتمثل
+
+56
+00:05:34,910 --> 00:05:41,040
+ايه؟ tangential componentTangential component يعني
+
+57
+00:05:41,040 --> 00:05:44,220
+ال force دي لو حللتها لو مركبتين واحد ال
+
+58
+00:05:44,220 --> 00:05:49,960
+tangential F cosine alpha و F sine alpha معناته
+
+59
+00:05:49,960 --> 00:05:56,000
+الشغل ناتج عن ال tangential component nor
+
+60
+00:05:56,000 --> 00:06:01,560
+component ما بتعمل شغل nor component ما بتعمل شغل
+
+61
+00:06:07,250 --> 00:06:11,590
+يعني ممكن احكي مزال هذا integral بحكي عن تكابل من
+
+62
+00:06:11,590 --> 00:06:14,970
+عنده بحكي مساحة تحت منحنة معناه الشغل المبذول من
+
+63
+00:06:14,970 --> 00:06:19,230
+واحد لاتنين هو المساحة تحت منحنة ال tangential
+
+64
+00:06:19,230 --> 00:06:23,770
+force مع الإزاحة هاي ال .. هاي عنده هنا كانت S
+
+65
+00:06:23,770 --> 00:06:28,050
+واحد وهنا S اتنين وال Ft بتتغير مثلا بالطريقة هذه
+
+66
+00:06:28,050 --> 00:06:33,170
+فالمساحة هتمثل الشغل المبذول في الفترة من واحد
+
+67
+00:06:33,170 --> 00:06:34,030
+لاتنين
+
+68
+00:06:38,400 --> 00:06:42,740
+أنا هناخد حالات خاصة work of a constant force in
+
+69
+00:06:42,740 --> 00:06:47,460
+rectilinear motion في عندي particle واقع تحت أثير
+
+70
+00:06:47,460 --> 00:06:52,740
+force قيمتها واتجاهها ثابت ال force بتعمل alpha
+
+71
+00:06:52,740 --> 00:06:56,760
+هاي ال x axis وهي ال origin وهي ال x axis وال
+
+72
+00:06:56,760 --> 00:06:59,740
+particle بتحرك على خط مستقيم بتحرك على الخط
+
+73
+00:06:59,740 --> 00:07:04,440
+المستقيم الان
+
+74
+00:07:04,440 --> 00:07:10,190
+ال u أحد الأثنين ما زال forceثابتة ال U واحد
+
+75
+00:07:10,190 --> 00:07:18,090
+لاتنين ال U
+
+76
+00:07:18,090 --> 00:07:30,310
+واحد لاتنين هسكون تكامل F dot DR من
+
+77
+00:07:30,310 --> 00:07:38,370
+انا مااخد اتجاه ال X من X واحد مثلالأكس اتنين
+
+78
+00:07:38,370 --> 00:07:41,690
+هتكون
+
+79
+00:07:41,690 --> 00:07:48,430
+F تكامل الف دتار هتكون F cosine Alpha في DX
+
+80
+00:07:54,000 --> 00:07:58,700
+من X1 ل X2 و احنا حاكيين ال F constant و الزمن
+
+81
+00:07:58,700 --> 00:08:06,620
+الثابتة بيطلعوا برا بيصير اندي F Cos α في X2 ناقص
+
+82
+00:08:06,620 --> 00:08:17,800
+X1 او F Cos α في Delta X معناه الشغل ل المفذول
+
+83
+00:08:17,800 --> 00:08:23,320
+الشغل المفذول على الجسم بتحرك تحت أثير forceقيمتها
+
+84
+00:08:23,320 --> 00:08:33,080
+واتجاهها تبتين بالسواء F Cos Alpha Delta X ال
+
+85
+00:08:33,080 --> 00:08:38,400
+gravity ال
+
+86
+00:08:38,400 --> 00:08:42,820
+gravity عند جسم كان
+
+87
+00:08:42,820 --> 00:08:48,900
+يعني بيطلع بتغير موقعه ماشي على منحنة
+
+88
+00:08:53,160 --> 00:08:55,360
+الـ initial position اللي كان عند واحد كان على
+
+89
+00:08:55,360 --> 00:08:59,460
+ارتفاع y واحد من الأرض ال final position كان على
+
+90
+00:08:59,460 --> 00:09:04,880
+ارتفاع y اتنين اي position بين واحد اتنين بسميه y
+
+91
+00:09:04,880 --> 00:09:10,460
+اي position بين واحد اتنين ايش بسميه y حيث لو طلع
+
+92
+00:09:10,460 --> 00:09:17,490
+delta y لو طلع delta y هتكون ال duهتكون بشكل عام
+
+93
+00:09:17,490 --> 00:09:29,410
+Fx dx زي Fy dy زي Fz dz ال F بالحالة هذه يلها
+
+94
+00:09:29,410 --> 00:09:37,550
+مراكب بس في اتجاه ال Y يعني هتكون ال F ال minus ال
+
+95
+00:09:37,550 --> 00:09:45,430
+طبعا عكس ال Y هي هتكون minus ال W في اتجاه الجهة
+
+96
+00:09:50,170 --> 00:10:01,410
+وانا بحكي عن حالة today ال ال DR بيساوي
+
+97
+00:10:01,410 --> 00:10:10,410
+DX هنحط DX باتجاه ال I زائد DY باتجاه ال J زائد DZ
+
+98
+00:10:10,410 --> 00:10:24,480
+باتجاه ال K هعمل product ال DUهيكون F dot DR ال I
+
+99
+00:10:24,480 --> 00:10:30,860
+عنده إيش في مواقع الكتب؟ صفر بصفر، صفر زاد ناقص W
+
+100
+00:10:30,860 --> 00:10:44,020
+في DY زاد في ال K أيش؟ صفر يعني هيكون ال ال U من
+
+101
+00:10:44,020 --> 00:10:52,870
+واحد لإتنين من واحد لإتنينبساوة تكامل minus w dy
+
+102
+00:10:52,870 --> 00:11:02,770
+من y1 ل y2 يعني u بكتبها u من 1 ل 2 هتكون minus w
+
+103
+00:11:02,770 --> 00:11:14,570
+في y2 minus y1 يعني بساوة minus w
+
+104
+00:11:14,570 --> 00:11:17,590
+delta y
+
+105
+00:11:19,660 --> 00:11:26,540
+هو تتطلع أنا عندي هذه ال particle كانت عند هذه
+
+106
+00:11:26,540 --> 00:11:31,920
+الوزن وهذه التوائط أساسي السبب بينهم 180 درجة صح؟
+
+107
+00:11:31,920 --> 00:11:37,680
+ال cosine 180 سالب واحد معناته
+
+108
+00:11:37,680 --> 00:11:43,420
+وانا طالع الجاذبية
+
+109
+00:11:44,500 --> 00:11:49,980
+بتشتغل ضدى ولا معاه؟ بتشتغل ضدى عشانك بالسالم وانا
+
+110
+00:11:49,980 --> 00:11:56,160
+نازل بتشتغل معاه بيساعدني عشانك
+
+111
+00:11:56,160 --> 00:12:00,300
+ال work بيكون وانا طالع ال negative وانا نازل
+
+112
+00:12:00,300 --> 00:12:05,460
+بيساعدني بتكون في الموجة نشوف
+
+113
+00:12:05,460 --> 00:12:10,980
+في حالة ال spring عندي
+
+114
+00:12:10,980 --> 00:12:12,040
+هنا ال spring
+
+115
+00:12:15,850 --> 00:12:18,630
+كان initially undeformed يعني مافيش في عليه أي
+
+116
+00:12:18,630 --> 00:12:25,010
+إزاعة مش مشدود زمبارك لأن لما أسحب ال spring
+
+117
+00:12:25,010 --> 00:12:33,190
+عاليمين أسحبه بيحاول ال spring إيش يرجعه معناته لو
+
+118
+00:12:33,190 --> 00:12:39,330
+حطيت أنا ال particle أنا
+
+119
+00:12:39,330 --> 00:12:42,410
+سحبته عاليمين معناته في force
+
+120
+00:12:45,400 --> 00:12:51,740
+و ال delta x اندي جاي بالعكس مظبوط معناته هتكون ال
+
+121
+00:12:51,740 --> 00:12:55,500
+du هتساوي
+
+122
+00:12:55,500 --> 00:13:02,400
+minus f زوابهم هتكون قيمة هذه في قيمة هذه في كسان
+
+123
+00:13:02,400 --> 00:13:09,980
+زوابهم 180 هتكون minus f dx ال f في الزمبرة كيش
+
+124
+00:13:09,980 --> 00:13:23,510
+علاقة خطية k في x-K X DX U 1 ل2 ستكون تكامل سالب K
+
+125
+00:13:23,510 --> 00:13:35,650
+X DX من X 1 ل X 2 يعني ستكون ال K ثابت سأخرج ال K
+
+126
+00:13:35,650 --> 00:13:40,210
+في
+
+127
+00:13:40,210 --> 00:13:53,920
+X تربيع على 2مظبوط من من X1 ل X2 يعني هكون سالب K
+
+128
+00:13:53,920 --> 00:14:06,540
+على 2 في X2 تربيع minus X1 تربيع
+
+129
+00:14:06,540 --> 00:14:14,220
+طيب
+
+130
+00:14:18,020 --> 00:14:21,480
+معناته u احد اتنين هتكون لو دخلنا ال minus جوه
+
+131
+00:14:21,480 --> 00:14:27,220
+هصير نص Kx واحد تربيع ناقص نص Kx اتنين تربيع و انا
+
+132
+00:14:27,220 --> 00:14:31,480
+ببعد عن
+
+133
+00:14:31,480 --> 00:14:35,480
+ال undefault position الذنبارك بيشتغل بيحاول
+
+134
+00:14:35,480 --> 00:14:41,040
+يرجعني بيعكسني صح بيعكس الإزاحة تعني و انا راجع
+
+135
+00:14:41,040 --> 00:14:44,160
+بيساعدني
+
+136
+00:14:44,160 --> 00:14:46,740
+صح بيكون ال work motion
+
+137
+00:14:53,360 --> 00:14:57,620
+زي ما حكينا work of force exerted while spraying
+
+138
+00:14:57,620 --> 00:15:02,020
+is positive لما تكون X2 أقل من X1 يعني زمبارك راجع
+
+139
+00:15:02,020 --> 00:15:12,660
+ال particle في رحلة الرجوع ممكن هذه
+
+140
+00:15:12,660 --> 00:15:21,590
+أعملها على شكل التالي minus سالب K على اتنينفى x2
+
+141
+00:15:21,590 --> 00:15:30,710
+نقص x1 فى x2 زاد
+
+142
+00:15:30,710 --> 00:15:38,990
+x1 يعني
+
+143
+00:15:38,990 --> 00:15:49,020
+هتكون سالب k على 2 تسمى x2 نقص x1 ايه تسميها؟delta
+
+144
+00:15:49,020 --> 00:16:00,080
+x في x واحد زاد x اتنين هدخل k جوا هدخل k جوا هكون
+
+145
+00:16:00,080 --> 00:16:12,340
+دي ناقص delta x على اتنين في k x واحد زاد k x
+
+146
+00:16:12,340 --> 00:16:18,690
+اتنين صح؟ طب ال k x واحدهي ال force عند ال initial
+
+147
+00:16:18,690 --> 00:16:24,450
+position سالب
+
+148
+00:16:24,450 --> 00:16:32,410
+دلتا X على اتنين في F واحد F واحد يعني K X واحد
+
+149
+00:16:32,410 --> 00:16:42,210
+صح؟ زاد F اتنين معناه B واحد اتنين بالثورة ناقص نص
+
+150
+00:16:43,570 --> 00:16:50,070
+فى F1 دي فى F2 فى delta X يعنى لو رسمت عملت plot
+
+151
+00:16:50,070 --> 00:16:57,870
+زى ما انتوا شايفين عاملين ال plot احنا لل
+
+152
+00:16:57,870 --> 00:17:04,710
+force بتاعة ال spring مع ال displacement ال Xسحبت
+
+153
+00:17:04,710 --> 00:17:07,230
+زبراك X واحد هتكون ال force F واحد لان ال force
+
+154
+00:17:07,230 --> 00:17:13,570
+يساوي K في X صح؟ سحبت أكتر X اتنين صارت ال force F
+
+155
+00:17:13,570 --> 00:17:22,790
+اتنين معناته هذا شبه ملحرف هي القاعدة الصغره هي
+
+156
+00:17:22,790 --> 00:17:27,170
+القاعدة الكبره معناه ان القاعدة الصغره كانت من
+
+157
+00:17:27,170 --> 00:17:32,510
+ارتفاعها F واحد من القاعدة الكبرهالقاعدة المتوسطة
+
+158
+00:17:32,510 --> 00:17:37,910
+F1 زي F2 على 2 التي هي هذه صح؟ فالارتفاع اللي هي
+
+159
+00:17:37,910 --> 00:17:42,410
+Delta X معناته ال work of force زي z by spring
+
+160
+00:17:42,410 --> 00:17:47,910
+اللي هي negative of the area under force against X
+
+161
+00:17:47,910 --> 00:17:53,450
+curve ناخد
+
+162
+00:17:53,450 --> 00:18:00,850
+ال gravitational force انا اذا عندي جسمينm capital
+
+163
+00:18:00,850 --> 00:18:05,550
+و m small بيكون كل واحد بيشد فيه و بيشد التاني ب
+
+164
+00:18:05,550 --> 00:18:11,630
+force F فعندي F و minus F مُسوين في البقدار و
+
+165
+00:18:11,630 --> 00:18:20,530
+مُضطين في الاتجاه لو أخدت ال position عند A هاي
+
+166
+00:18:20,530 --> 00:18:29,200
+كان موقعه R ال position عند A prime صار اختلفمعنى
+
+167
+00:18:29,200 --> 00:18:34,140
+ان اذا هذه R وهذه R اختلف لان هذه الشيء هتكون DR
+
+168
+00:18:34,140 --> 00:18:38,660
+معناه ال DU في ال displacement هيكون minus F
+
+169
+00:18:38,660 --> 00:18:43,240
+لاحظوا ال F عكس جاية عكس ال DR يعني زي ما بينهم
+
+170
+00:18:43,240 --> 00:18:47,900
+180 درجة صح؟ هتكون minus FDR هتكون بعوض على F اللي
+
+171
+00:18:47,900 --> 00:18:52,580
+هي minus G M capital M small على R square DR اذا
+
+172
+00:18:52,580 --> 00:18:54,740
+كنت تاخد ال work من واحد لاثنين U واحد لاثنين
+
+173
+00:18:54,740 --> 00:19:00,750
+هتكون تكاملنقص تكامل من R1 لR2 لGM M small على R2
+
+174
+00:19:00,750 --> 00:19:05,050
+DR ال GM M small ايش معلوم؟ ثومر بيطلع برا ال
+
+175
+00:19:05,050 --> 00:19:13,930
+integration بيصير minus GM M small تكامل من R1 لR2
+
+176
+00:19:13,930 --> 00:19:18,110
+DR على R تربيع ال R تربيع يعني R اصلا ناقص اتنين
+
+177
+00:19:18,110 --> 00:19:26,390
+تكامل ايش هكون؟ سالب 1 على Rمعناه تسالد مع السالو
+
+178
+00:19:26,390 --> 00:19:31,730
+إيش يصير هو جاب و بدك حدود ال integration من واحد
+
+179
+00:19:31,730 --> 00:19:35,450
+لاتنين يعني هتكون GM capital M small واحد على R
+
+180
+00:19:35,450 --> 00:19:43,230
+اتنين ناقص واحد على R واحد مش
+
+181
+00:19:43,230 --> 00:19:46,150
+كل ال forces اللي بتصادفنا بتعمل شغل في forces
+
+182
+00:19:46,150 --> 00:19:47,730
+بتعملش شغل
+
+183
+00:19:50,210 --> 00:19:54,750
+زي reaction at a frictionless pin supporting
+
+184
+00:19:54,750 --> 00:20:02,510
+rotating body يعني مثلا هاي body و
+
+185
+00:20:02,510 --> 00:20:16,270
+فيه pin و هنا مافيش friction, no friction معناته
+
+186
+00:20:16,270 --> 00:20:21,360
+هنا عندى رد فعل هنا عندى رد فعلهل بيصير إزاحة في
+
+187
+00:20:21,360 --> 00:20:25,760
+المنطقة هذه؟ مافيش إزاحة، معناته مافيش شغل، لو كان
+
+188
+00:20:25,760 --> 00:20:32,340
+فيه إحتكاك، بيكون شغل، أنا بحتاج الطاقة عشان أقام
+
+189
+00:20:32,340 --> 00:20:38,380
+الإحتكاك، لكن طالما مافيش إحتكاك، معناته بيكون بلف
+
+190
+00:20:38,380 --> 00:20:43,000
+بدون أي مشاكل، مش محتاج أي energy reaction at a
+
+191
+00:20:43,000 --> 00:20:47,970
+frictionless surface when the bodyin contact moves
+
+192
+00:20:47,970 --> 00:20:53,050
+along the surface الآن عندي جسم متحرك على مستوى
+
+193
+00:20:53,050 --> 00:21:00,930
+أفقي و مافيش احتكاك بين اتنين معناته رد الفعل هاي
+
+194
+00:21:00,930 --> 00:21:06,630
+الوزن وفيه رد الفعل العمودي رد الفعل العمودي انا
+
+195
+00:21:06,630 --> 00:21:12,790
+مابعمل شغل ليش؟ لأنه
+
+196
+00:21:15,380 --> 00:21:23,120
+لأ ممكن احط هاي تحت اثير force F حاسين إزاعة،
+
+197
+00:21:23,120 --> 00:21:27,040
+أظبط؟ حاسين إزاعة، مية في المية، هو عمود على
+
+198
+00:21:27,040 --> 00:21:34,020
+الإزاعة اللي بيحرك الجسم ال F هكون مركبتين، واحدة
+
+199
+00:21:34,020 --> 00:21:37,260
+أفقية، واحدة ممدلة، المركبة الأفقية هي هتعمل
+
+200
+00:21:37,260 --> 00:21:44,020
+إزاعة، لو في احتكاك، الاحتكاك هيقومهيعمل شغل معاكس
+
+201
+00:21:44,020 --> 00:21:48,200
+هيعمل شغل معاكس معناته إذا ال reaction at a
+
+202
+00:21:48,200 --> 00:21:50,880
+friction surface when a body is moving along a
+
+203
+00:21:50,880 --> 00:21:56,700
+surface ما بيعمل شغل لأن الزاوية بين ال reaction
+
+204
+00:21:56,700 --> 00:22:05,600
+force و الإزاحة تسعين درجة reaction
+
+205
+00:22:05,600 --> 00:22:09,120
+at
+
+206
+00:22:09,120 --> 00:22:20,260
+rollerعند رولر هو
+
+207
+00:22:20,260 --> 00:22:23,240
+عندنا rolling motion يعني في تدحرج مافي انزلاق
+
+208
+00:22:23,240 --> 00:22:27,900
+يعني مافي انزلاق يعني في احتكاك ال reaction force
+
+209
+00:22:27,900 --> 00:22:37,040
+هنا مابتعمل شغل لأن نسبيا سرعة النقطة هذه بتسمى
+
+210
+00:22:37,040 --> 00:22:44,060
+سرعة الأرضسرعة شو مستوى؟ صفر عشان ايك بكون فش شغل
+
+211
+00:22:44,060 --> 00:22:49,340
+weight
+
+212
+00:22:49,340 --> 00:22:51,660
+of a body when its center of gravity moves if
+
+213
+00:22:51,660 --> 00:22:59,100
+الجسم متحرك افقي الوزن بتاعه بيعمل الشغل فالوزن
+
+214
+00:22:59,100 --> 00:23:02,740
+نفسه ما في الحال هاد اذا كان الجسم متحرك افقيا
+
+215
+00:23:02,740 --> 00:23:05,120
+ووزن الجسم ما بيعمل الشغل
+
+216
+00:23:20,030 --> 00:23:24,750
+طيب خلينا نشوف كيف ال .. how to derive ال
+
+217
+00:23:24,750 --> 00:23:32,850
+principle of work and energy عند
+
+218
+00:23:32,850 --> 00:23:39,050
+جسم بتتحرك على مسار منحني في
+
+219
+00:23:39,050 --> 00:23:41,750
+لحظة معينة كان الجسم موقع عند .. موقع في عند
+
+220
+00:23:41,750 --> 00:23:46,450
+النقطة هذه كان تحت أثير force F ال F اللي احنا
+
+221
+00:23:46,450 --> 00:23:52,350
+حكيناه حاليا اللي هو مركبتينمركبة مماثية FT ومركبة
+
+222
+00:23:52,350 --> 00:23:57,910
+متعاملة بمصالح حركة F normal لان
+
+223
+00:23:57,910 --> 00:23:59,770
+انا ممكن احكي summation of forces باتجاه
+
+224
+00:23:59,770 --> 00:24:02,850
+tangential بيستوى MA tangential وsummation of
+
+225
+00:24:02,850 --> 00:24:05,070
+forces باتجاه normal بيستوى MA normal انا هاخد في
+
+226
+00:24:05,070 --> 00:24:07,730
+اتجاه ال tangential summation of forces لل
+
+227
+00:24:07,730 --> 00:24:12,050
+tangential along tangential بيستوى FT بيستوى MAT
+
+228
+00:24:12,050 --> 00:24:18,410
+ال AT احنا حاكيهاالـ AT بتعبر عن التغير في قيمة
+
+229
+00:24:18,410 --> 00:24:25,090
+السرعة و ال A نوع بتعبر عن التغير في اتجاه السرعة
+
+230
+00:24:25,090 --> 00:24:30,770
+فهذا هتكون M DV بو DT انا لحظة مش حاطط شحطة هنا
+
+231
+00:24:30,770 --> 00:24:35,950
+يعني انا بحكي اش قيمة السرعة DV بو DT لأن ضربت ال
+
+232
+00:24:35,950 --> 00:24:42,770
+bus هنا و المقام DS على DS مابصير تغير بصير DS على
+
+233
+00:24:42,770 --> 00:24:50,290
+DT اللي هي نفسها Vبحث سيراندي هى mvdv by ds ضابط
+
+234
+00:24:50,290 --> 00:24:56,610
+الطرفين فى ds بسيراندي ft ds بيستوى mvdv مانا
+
+235
+00:24:56,610 --> 00:25:03,950
+اتبعد اعمل تكامن من s واحد ال s اتنين ال ft ds ال
+
+236
+00:25:03,950 --> 00:25:08,930
+m constant تطلع برا m تكامن v واحدة v اتنين vdv
+
+237
+00:25:08,930 --> 00:25:14,270
+تكامن vdv اللى هى v تربية على اتنينو ال V تربيع
+
+238
+00:25:14,270 --> 00:25:19,350
+هتغير من V1 ل V2 يعني هتكون نص M V تربيع M V2
+
+239
+00:25:19,350 --> 00:25:25,190
+تربيع minus نص M V1 تربيع معناته و انا حكينا تكامل
+
+240
+00:25:25,190 --> 00:25:30,290
+FTDS ايش مثل الشغل المبدول من position 1 ل
+
+241
+00:25:30,290 --> 00:25:35,690
+position 2 معناته هتمثل U1 ل U2 بستوى T2 minus T1
+
+242
+00:25:35,690 --> 00:25:41,770
+و T هي ال kinetic energy معناته الشغل المبدول بين
+
+243
+00:25:41,770 --> 00:25:48,400
+1 و 2يساوي التغير في طاقة الحركة التغير في طاقة
+
+244
+00:25:48,400 --> 00:25:52,260
+الحركة او ممكن نعبر التعبير احسن نحكي اجيب ت واحد
+
+245
+00:25:52,260 --> 00:25:58,100
+ع جهة التانية ت واحد زائد واحد لاتنين بيساوي تتنين
+
+246
+00:25:58,100 --> 00:26:03,060
+معناه ان انا عشان اغير طاقة الحركة تع الجسم لازم
+
+247
+00:26:03,060 --> 00:26:09,580
+افزل شغل يا بعطي طاقة بخفف بزود طاقة حركته او باخد
+
+248
+00:26:09,580 --> 00:26:15,560
+منه طاقةو بقى نزل طاقة حركته بقى نزل سرعته والاخر
+
+249
+00:26:15,560 --> 00:26:21,600
+فالشغم من واحد لاتنين بيستوى التغير في طاقة الحركة
+
+250
+00:26:21,600 --> 00:26:26,300
+يعني U12 بيستوى T2-T1 هذا بيسموه ال principle of
+
+251
+00:26:26,300 --> 00:26:31,320
+work and energy الآن
+
+252
+00:26:31,320 --> 00:26:35,900
+ال power بتختلف
+
+253
+00:26:35,900 --> 00:26:43,790
+عن ال energyهي معدل استهلاكنا للطاقة أو معدل
+
+254
+00:26:43,790 --> 00:26:52,070
+استهلاكنا للشغل يعني ال
+
+255
+00:26:52,070 --> 00:27:00,110
+energy بتعبر عن مخزون ال battery مثلا هل هي جهاز
+
+256
+00:27:00,110 --> 00:27:06,450
+energy ولا جهاز power جهاز energy ال inverter
+
+257
+00:27:09,110 --> 00:27:13,870
+it has power انا فيه inverter بيحول من DC ل AC
+
+258
+00:27:13,870 --> 00:27:23,930
+كويس وفيه سخان قدرته واحد كيلو وات وفيه سخان تانى
+
+259
+00:27:23,930 --> 00:27:30,650
+اتنين كيلو وات الان معناته نفس البطارية نفس
+
+260
+00:27:30,650 --> 00:27:34,890
+البطارية نفس المخزون اللى فيها ممكن يعطينا واحد
+
+261
+00:27:34,890 --> 00:27:39,010
+كيلو وات ممكن يعطينا عشرة كيلو واتالفرق بين
+
+262
+00:27:39,010 --> 00:27:43,870
+الحالتين انه انا استنفدت في المرة الأولى استنفدت
+
+263
+00:27:43,870 --> 00:27:48,870
+ال energy او المخزون البطارية على فترة زمنية طويلة
+
+264
+00:27:48,870 --> 00:27:54,110
+مظبوط في الحالة التانية مع عشرة كيلو وات استنفدت
+
+265
+00:27:54,110 --> 00:27:59,390
+المخزون بسرعة سحبته بسرعة هذه الفرق فال power
+
+266
+00:27:59,390 --> 00:28:05,290
+بتمثل معدل استهلاكنا او القدرة معدل استهلاكنا ل
+
+267
+00:28:08,540 --> 00:28:17,040
+ممكن نرجع تمرى كأنه برميل ميه عندك هي برميل ميه
+
+268
+00:28:17,040 --> 00:28:23,280
+فيه ميه و هنا فيه فتحة مصورة عن التحت عندي برميل
+
+269
+00:28:23,280 --> 00:28:31,400
+تاني و نفس الحجم و فيه المصورة مثلا هنا نحكي نص
+
+270
+00:28:31,400 --> 00:28:42,040
+انش و هنا مثلا خمسة انشمين هيفض أسرع؟ هذا ولا هذا؟
+
+271
+00:28:42,040 --> 00:28:48,220
+الخمسة انش هيفض أسرع معدل تفريغي اللي هو ال flow
+
+272
+00:28:48,220 --> 00:28:57,180
+ال flow analog يماثل ال power ال energy اللي هي
+
+273
+00:28:57,180 --> 00:29:00,340
+كمية المي المخزونة تبعها، هذا energy معناته
+
+274
+00:29:00,340 --> 00:29:04,400
+البطارية برميل،
+
+275
+00:29:04,400 --> 00:29:08,100
+برميل كهربا، معبّى فيه كهربا، صح؟واللي أجي الساعة
+
+276
+00:29:08,100 --> 00:29:11,260
+اللي أنا بستخدم عندي سخان أو عندي مثلا بدي أشحن
+
+277
+00:29:11,260 --> 00:29:14,900
+جوال، الجوال أكمل، بيصحى مثلا اتنين، تلاتة واط،
+
+278
+00:29:14,900 --> 00:29:20,000
+خمسة واط مثلا؟ مثلا، ايش زيك؟ نحكي خمسة واط،
+
+279
+00:29:20,000 --> 00:29:25,180
+معناته هو بيصحى خمسة جول في الثانية، بيصحى من
+
+280
+00:29:25,180 --> 00:29:28,820
+المخزون هذا خمسة جول في الثانية، سخان كهربا ألف
+
+281
+00:29:28,820 --> 00:29:35,600
+واطمعناته بيسحب الف جول في الثانية يعني كأنه ال ..
+
+282
+00:29:35,600 --> 00:29:40,980
+ال .. الجوال مركب عليه مصورة N نص انش استخار مثلا
+
+283
+00:29:40,980 --> 00:29:50,760
+خمسة إنش مثلافال power هي معدل استهلاكنا للطاقة
+
+284
+00:29:50,760 --> 00:29:54,700
+لنفس مخزون الطاقة ممكن احصل power صغيرة جدا ممكن
+
+285
+00:29:54,700 --> 00:29:57,600
+احصل على power كبيرة جدا و الدليل في البيوت عندكم
+
+286
+00:29:57,600 --> 00:30:04,160
+بيكون مشبوك جوال صح في نفس اللحظة بياخد من نفس
+
+287
+00:30:04,160 --> 00:30:09,010
+المخزون مصدر التيار و مشبوك عليه تلاجةومشبوك عليه
+
+288
+00:30:09,010 --> 00:30:13,110
+مكوة ومشبوك عليه سخان ومشبوك عليه التلفزيون وها
+
+289
+00:30:13,110 --> 00:30:19,810
+كذا كل واحد بيسحب بيستنفذ قدر حاجته يعني طفل صغير
+
+290
+00:30:19,810 --> 00:30:26,450
+بيأكل مثلا نص الغيف تواحظ يا حلواتك بيسحبله خمس
+
+291
+00:30:26,450 --> 00:30:32,970
+طريقه، مظبوط؟ معناته انتوا .. انتوا more powerful
+
+292
+00:30:32,970 --> 00:30:37,910
+من ناحية إيش؟ استخلاقكوا لل .. للأكل، اه
+
+293
+00:30:41,230 --> 00:30:45,670
+ال .. ال unit of total power هي ال watt هي واحد هي
+
+294
+00:30:45,670 --> 00:30:49,770
+هتكون jewel per second او one horse power يعني
+
+295
+00:30:49,770 --> 00:30:52,850
+خمسمية و خمسين foot pound per second ال one horse
+
+296
+00:30:52,850 --> 00:30:57,230
+power بيستوى سبعمية و ستة و أربعين watt اللي في
+
+297
+00:30:57,230 --> 00:31:07,550
+شنسي هي ال output على ال input يعني
+
+298
+00:31:07,550 --> 00:31:16,850
+انا بقدرشفي الطبيعة أستهلك .. إذا دخلت مثلا N مية
+
+299
+00:31:16,850 --> 00:31:22,870
+أطلع مية، مستحيل، لأن مثلا بدي أشغل موتور كهراء،
+
+300
+00:31:22,870 --> 00:31:27,770
+موتور كهربا، دخلتله ميت وط، هل هطلعني طاقة حركة
+
+301
+00:31:27,770 --> 00:31:33,550
+ميت وط؟ لأ، لأن في فوائد في عند الاحتكاكفي الفراشة
+
+302
+00:31:33,550 --> 00:31:36,770
+ومقاومة الهواء في عند اللي هو بيصير التيارات ال
+
+303
+00:31:36,770 --> 00:31:41,530
+eddy currents اللي جوا الملف مظبوط كله هتتمثل ايه؟
+
+304
+00:31:41,530 --> 00:31:45,790
+فواقد عشان هيك ال efficiency بيستوى output على
+
+305
+00:31:45,790 --> 00:31:53,050
+input ودائما كمهندسين هدفنا احنا نقلص يعني to
+
+306
+00:31:53,050 --> 00:31:57,450
+maximize output يعني to maximize efficiency يعني
+
+307
+00:31:57,450 --> 00:32:01,010
+to maximize ال output بالنسبة لل input
+
+308
+00:32:04,780 --> 00:32:08,920
+طيب المحاضرة الجاي انا ليش بركز على ال power و ال
+
+309
+00:32:08,920 --> 00:32:11,960
+.. و ال .. power و ال energy كتير بخلطوا بينهم
+
+310
+00:32:11,960 --> 00:32:18,260
+بخلطوا بينهم ممكن نكتب الوحدات ال kilowatt hour في
+
+311
+00:32:18,260 --> 00:32:22,080
+كتير بيكتبوها مثلا kilowatt hour بيكتبوا kilowatt
+
+312
+00:32:22,080 --> 00:32:29,740
+شحتة hour كتير شاعر لأ kilowatt hour مختلف عن
+
+313
+00:32:29,740 --> 00:32:31,480
+kilowatt هذه إشي و هذه إشي
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/6CIkzTmNVrQ_raw.json b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/6CIkzTmNVrQ_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..c40df0a13f0edb5c3094e80e14cfaee5554fdf93
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/6CIkzTmNVrQ_raw.json
@@ -0,0 +1 @@
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1930.66, "end": 1931.56, "word": " بخلطوا", "probability": 0.9265625}, {"start": 1931.56, "end": 1931.96, "word": " بينهم", "probability": 0.980224609375}, {"start": 1931.96, "end": 1933.72, "word": " بخلطوا", "probability": 0.92666015625}, {"start": 1933.72, "end": 1934.0, "word": " بينهم", "probability": 0.9951171875}, {"start": 1934.0, "end": 1934.38, "word": " ممكن", "probability": 0.943115234375}, {"start": 1934.38, "end": 1934.66, "word": " نكتب", "probability": 0.8575439453125}, {"start": 1934.66, "end": 1935.36, "word": " الوحدات", "probability": 0.9571533203125}, {"start": 1935.36, "end": 1936.92, "word": " ال", "probability": 0.264404296875}, {"start": 1936.92, "end": 1937.56, "word": " kilowatt", "probability": 0.932373046875}, {"start": 1937.56, "end": 1937.96, "word": " hour", "probability": 0.88818359375}, {"start": 1937.96, "end": 1938.26, "word": " في", "probability": 0.3173828125}, {"start": 1938.26, "end": 1938.56, "word": " كتير", "probability": 0.9025065104166666}, 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/6CIkzTmNVrQ_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/6CIkzTmNVrQ_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0042643912ff32ec326bf2bea8856c995b625404
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/6CIkzTmNVrQ_raw.srt
@@ -0,0 +1,1252 @@
+1
+00:00:05,470 --> 00:00:08,030
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,030 --> 00:00:12,590
+وبركاته هنكمل في مادة ال dynamics اليوم هندخل
+
+3
+00:00:12,590 --> 00:00:16,050
+chapter جديد اللي هو kinetics of particles energy
+
+4
+00:00:16,050 --> 00:00:20,410
+and momentum method احنا امتحان الجاي متوقع يكون
+
+5
+00:00:20,410 --> 00:00:25,450
+بتاريخ اتنين و عشرين تلاتة يوم الأربع يعني يعني
+
+6
+00:00:25,450 --> 00:00:31,810
+اخر يوم في شعبها في
+
+7
+00:00:31,810 --> 00:00:37,690
+chapter تلاتاشدرسنا حركة حركة الجثيمات من خلال
+
+8
+00:00:37,690 --> 00:00:42,150
+قانون يوتن تانية حكينا ال net force المؤثر على
+
+9
+00:00:42,150 --> 00:00:48,150
+الجسم بتساوي ال mass في ال acceleration شبط تلتاش
+
+10
+00:00:48,150 --> 00:00:52,090
+حنضيف طريقتين اجداد اللي هي method of work and
+
+11
+00:00:52,090 --> 00:00:56,150
+energy و method of impulse and momentum في method
+
+12
+00:00:56,150 --> 00:01:01,530
+of work and energy بنعمل رابط بين force القوة و
+
+13
+00:01:01,530 --> 00:01:07,940
+كتلة ال massوالسرعة والإزاعة في طريقة ال impulse
+
+14
+00:01:07,940 --> 00:01:12,780
+and momentum نربط بين ال force و ال mass و ال
+
+15
+00:01:12,780 --> 00:01:20,760
+velocity و الزمن ال
+
+16
+00:01:20,760 --> 00:01:21,860
+work of a force
+
+17
+00:01:29,180 --> 00:01:34,000
+هي قيمة الطاقة اللي لازم تبدل عشان إحداث إزاحة
+
+18
+00:01:34,000 --> 00:01:38,420
+قيمة الطاقة اللي تبدل أو قيمة الشغل الناس يسموه
+
+19
+00:01:38,420 --> 00:01:44,440
+الشغل الشغل الطاقة الطاقة أو الشغل اللازم عشان
+
+20
+00:01:44,440 --> 00:01:50,120
+أحدث إزاحة عشان أحدث إزاحة عشان يصير إزاحة أحب
+
+21
+00:01:50,120 --> 00:01:55,540
+أحرك أيش من مكان لمكان محتاج ل force by definition
+
+22
+00:01:55,540 --> 00:02:04,010
+في عندنا particleهذه مركز الإحداثية او او في لحظة
+
+23
+00:02:04,010 --> 00:02:08,290
+واحد كان عند نقطة a في لحظة تانية صار عند نقطة a
+
+24
+00:02:08,290 --> 00:02:12,910
+prime لما كان عند a موقعه كان على بعد r لما كان
+
+25
+00:02:12,910 --> 00:02:19,770
+عند a prime صار عند r زائد dr معناته هذا هيكون
+
+26
+00:02:19,770 --> 00:02:25,730
+ايش؟التغير في ال position DR ال work of the force
+
+27
+00:02:25,730 --> 00:02:30,850
+اللي هو دي ال work هكون اللي هو ال scalar او ال
+
+28
+00:02:30,850 --> 00:02:35,490
+dot product لل F dot DR ال scalar product هكون ال
+
+29
+00:02:35,490 --> 00:02:40,830
+force في الإزاحة قيمة الإزاحة في cosine الزاوية
+
+30
+00:02:40,830 --> 00:02:45,090
+يعني في cosine الزاوية اللي هي cosine Alpha او اذا
+
+31
+00:02:45,090 --> 00:02:52,390
+استخدمت المراكبات الدي كرتية ايه كان عندىالـ F
+
+32
+00:02:52,390 --> 00:02:57,930
+بالساوية Fx
+
+33
+00:02:57,930 --> 00:03:07,210
+اتجاه الـ I زاد Fy اتجاه الـ J زاد Fz اتجاه الـ K
+
+34
+00:03:07,210 --> 00:03:12,450
+و الـ Dr ك vector اللي لها تلاتة components DXI
+
+35
+00:03:12,450 --> 00:03:20,030
+زاد DYJ زاد DZK الـ F
+
+36
+00:03:22,980 --> 00:03:31,280
+.dr هيكون fx dx زائد
+
+37
+00:03:31,280 --> 00:03:35,840
+fy dy زائد
+
+38
+00:03:35,840 --> 00:03:43,760
+fz dz طبعا
+
+39
+00:03:43,760 --> 00:03:55,940
+الشغل كمية غير متجهةالطاقة ممكن تكون بأي شكل و
+
+40
+00:03:55,940 --> 00:03:59,720
+أشكال، ممكن تكون على شكل طاقة حركة أو .. أو طاقة
+
+41
+00:03:59,720 --> 00:04:05,060
+وضع ممكن تكون طاقة حرارية، طاقة مكانك .. الحرارة
+
+42
+00:04:05,060 --> 00:04:09,680
+مثلا الطاقة موجودة وين ما كان صح؟ مافيش اتجاه محدد
+
+43
+00:04:09,680 --> 00:04:17,240
+لأ عشان هيك بسميها كمية غير متجهة يعني
+
+44
+00:04:17,240 --> 00:04:24,080
+في عندي particle .. عندي particleماشي على مسار
+
+45
+00:04:24,080 --> 00:04:33,180
+منحني بدأ بالنقطة O كانت displacement له لما كان
+
+46
+00:04:33,180 --> 00:04:43,630
+عند رقم النقطة واحد كان له اذاها S واحدعندي اتنين
+
+47
+00:04:43,630 --> 00:04:52,770
+كانت إذاحته S اتنين و خلال فترة من واحد لاتنين كان
+
+48
+00:04:52,770 --> 00:05:01,310
+تحت تحت أثير قوة F في لحظة معينة كانت ال force F
+
+49
+00:05:01,310 --> 00:05:08,190
+مع الإذاعة DS تم الزاوية Alpha معناه الشغل المبدول
+
+50
+00:05:09,050 --> 00:05:12,630
+أو الطاقة المبدولة من ال position واحد إلى
+
+51
+00:05:12,630 --> 00:05:16,750
+position اتنين احنا حكينا du بيساوي f dot dr
+
+52
+00:05:16,750 --> 00:05:20,550
+معناته لو اعمل integral من واحد إلى اتنين بيصير u
+
+53
+00:05:20,550 --> 00:05:22,550
+من واحد إلى اتنين الشغل المبدو من واحد إلى اتنين
+
+54
+00:05:22,550 --> 00:05:27,930
+بيكون تكامل f dot dr من واحد إلى اتنين ال f dot dr
+
+55
+00:05:27,930 --> 00:05:34,910
+هتكون f cosine alpha ds ال f cosine alpha بتمثل
+
+56
+00:05:34,910 --> 00:05:41,040
+ايه؟ tangential componentTangential component يعني
+
+57
+00:05:41,040 --> 00:05:44,220
+ال force دي لو حللتها لو مركبتين واحد ال
+
+58
+00:05:44,220 --> 00:05:49,960
+tangential F cosine alpha و F sine alpha معناته
+
+59
+00:05:49,960 --> 00:05:56,000
+الشغل ناتج عن ال tangential component nor
+
+60
+00:05:56,000 --> 00:06:01,560
+component ما بتعمل شغل nor component ما بتعمل شغل
+
+61
+00:06:07,250 --> 00:06:11,590
+يعني ممكن احكي مزال هذا integral بحكي عن تكابل من
+
+62
+00:06:11,590 --> 00:06:14,970
+عنده بحكي مساحة تحت منحنة معناه الشغل المبذول من
+
+63
+00:06:14,970 --> 00:06:19,230
+واحد لاتنين هو المساحة تحت منحنة ال tangential
+
+64
+00:06:19,230 --> 00:06:23,770
+force مع الإزاحة هاي ال .. هاي عنده هنا كانت S
+
+65
+00:06:23,770 --> 00:06:28,050
+واحد وهنا S اتنين وال Ft بتتغير مثلا بالطريقة هذه
+
+66
+00:06:28,050 --> 00:06:33,170
+فالمساحة هتمثل الشغل المبذول في الفترة من واحد
+
+67
+00:06:33,170 --> 00:06:34,030
+لاتنين
+
+68
+00:06:38,400 --> 00:06:42,740
+أنا هناخد حالات خاصة work of a constant force in
+
+69
+00:06:42,740 --> 00:06:47,460
+rectilinear motion في عندي particle واقع تحت أثير
+
+70
+00:06:47,460 --> 00:06:52,740
+force قيمتها واتجاهها ثابت ال force بتعمل alpha
+
+71
+00:06:52,740 --> 00:06:56,760
+هاي ال x axis وهي ال origin وهي ال x axis وال
+
+72
+00:06:56,760 --> 00:06:59,740
+particle بتحرك على خط مستقيم بتحرك على الخط
+
+73
+00:06:59,740 --> 00:07:04,440
+المستقيم الان
+
+74
+00:07:04,440 --> 00:07:10,190
+ال u أحد الأثنين ما زال forceثابتة ال U واحد
+
+75
+00:07:10,190 --> 00:07:18,090
+لاتنين ال U
+
+76
+00:07:18,090 --> 00:07:30,310
+واحد لاتنين هسكون تكامل F dot DR من
+
+77
+00:07:30,310 --> 00:07:38,370
+انا مااخد اتجاه ال X من X واحد مثلالأكس اتنين
+
+78
+00:07:38,370 --> 00:07:41,690
+هتكون
+
+79
+00:07:41,690 --> 00:07:48,430
+F تكامل الف دتار هتكون F cosine Alpha في DX
+
+80
+00:07:54,000 --> 00:07:58,700
+من X1 ل X2 و احنا حاكيين ال F constant و الزمن
+
+81
+00:07:58,700 --> 00:08:06,620
+الثابتة بيطلعوا برا بيصير اندي F Cos α في X2 ناقص
+
+82
+00:08:06,620 --> 00:08:17,800
+X1 او F Cos α في Delta X معناه الشغل ل المفذول
+
+83
+00:08:17,800 --> 00:08:23,320
+الشغل المفذول على الجسم بتحرك تحت أثير forceقيمتها
+
+84
+00:08:23,320 --> 00:08:33,080
+واتجاهها تبتين بالسواء F Cos Alpha Delta X ال
+
+85
+00:08:33,080 --> 00:08:38,400
+gravity ال
+
+86
+00:08:38,400 --> 00:08:42,820
+gravity عند جسم كان
+
+87
+00:08:42,820 --> 00:08:48,900
+يعني بيطلع بتغير موقعه ماشي على منحنة
+
+88
+00:08:53,160 --> 00:08:55,360
+الـ initial position اللي كان عند واحد كان على
+
+89
+00:08:55,360 --> 00:08:59,460
+ارتفاع y واحد من الأرض ال final position كان على
+
+90
+00:08:59,460 --> 00:09:04,880
+ارتفاع y اتنين اي position بين واحد اتنين بسميه y
+
+91
+00:09:04,880 --> 00:09:10,460
+اي position بين واحد اتنين ايش بسميه y حيث لو طلع
+
+92
+00:09:10,460 --> 00:09:17,490
+delta y لو طلع delta y هتكون ال duهتكون بشكل عام
+
+93
+00:09:17,490 --> 00:09:29,410
+Fx dx زي Fy dy زي Fz dz ال F بالحالة هذه يلها
+
+94
+00:09:29,410 --> 00:09:37,550
+مراكب بس في اتجاه ال Y يعني هتكون ال F ال minus ال
+
+95
+00:09:37,550 --> 00:09:45,430
+طبعا عكس ال Y هي هتكون minus ال W في اتجاه الجهة
+
+96
+00:09:50,170 --> 00:10:01,410
+وانا بحكي عن حالة today ال ال DR بيساوي
+
+97
+00:10:01,410 --> 00:10:10,410
+DX هنحط DX باتجاه ال I زائد DY باتجاه ال J زائد DZ
+
+98
+00:10:10,410 --> 00:10:24,480
+باتجاه ال K هعمل product ال DUهيكون F dot DR ال I
+
+99
+00:10:24,480 --> 00:10:30,860
+عنده إيش في مواقع الكتب؟ صفر بصفر، صفر زاد ناقص W
+
+100
+00:10:30,860 --> 00:10:44,020
+في DY زاد في ال K أيش؟ صفر يعني هيكون ال ال U من
+
+101
+00:10:44,020 --> 00:10:52,870
+واحد لإتنين من واحد لإتنينبساوة تكامل minus w dy
+
+102
+00:10:52,870 --> 00:11:02,770
+من y1 ل y2 يعني u بكتبها u من 1 ل 2 هتكون minus w
+
+103
+00:11:02,770 --> 00:11:14,570
+في y2 minus y1 يعني بساوة minus w
+
+104
+00:11:14,570 --> 00:11:17,590
+delta y
+
+105
+00:11:19,660 --> 00:11:26,540
+هو تتطلع أنا عندي هذه ال particle كانت عند هذه
+
+106
+00:11:26,540 --> 00:11:31,920
+الوزن وهذه التوائط أساسي السبب بينهم 180 درجة صح؟
+
+107
+00:11:31,920 --> 00:11:37,680
+ال cosine 180 سالب واحد معناته
+
+108
+00:11:37,680 --> 00:11:43,420
+وانا طالع الجاذبية
+
+109
+00:11:44,500 --> 00:11:49,980
+بتشتغل ضدى ولا معاه؟ بتشتغل ضدى عشانك بالسالم وانا
+
+110
+00:11:49,980 --> 00:11:56,160
+نازل بتشتغل معاه بيساعدني عشانك
+
+111
+00:11:56,160 --> 00:12:00,300
+ال work بيكون وانا طالع ال negative وانا نازل
+
+112
+00:12:00,300 --> 00:12:05,460
+بيساعدني بتكون في الموجة نشوف
+
+113
+00:12:05,460 --> 00:12:10,980
+في حالة ال spring عندي
+
+114
+00:12:10,980 --> 00:12:12,040
+هنا ال spring
+
+115
+00:12:15,850 --> 00:12:18,630
+كان initially undeformed يعني مافيش في عليه أي
+
+116
+00:12:18,630 --> 00:12:25,010
+إزاعة مش مشدود زمبارك لأن لما أسحب ال spring
+
+117
+00:12:25,010 --> 00:12:33,190
+عاليمين أسحبه بيحاول ال spring إيش يرجعه معناته لو
+
+118
+00:12:33,190 --> 00:12:39,330
+حطيت أنا ال particle أنا
+
+119
+00:12:39,330 --> 00:12:42,410
+سحبته عاليمين معناته في force
+
+120
+00:12:45,400 --> 00:12:51,740
+و ال delta x اندي جاي بالعكس مظبوط معناته هتكون ال
+
+121
+00:12:51,740 --> 00:12:55,500
+du هتساوي
+
+122
+00:12:55,500 --> 00:13:02,400
+minus f زوابهم هتكون قيمة هذه في قيمة هذه في كسان
+
+123
+00:13:02,400 --> 00:13:09,980
+زوابهم 180 هتكون minus f dx ال f في الزمبرة كيش
+
+124
+00:13:09,980 --> 00:13:23,510
+علاقة خطية k في x-K X DX U 1 ل2 ستكون تكامل سالب K
+
+125
+00:13:23,510 --> 00:13:35,650
+X DX من X 1 ل X 2 يعني ستكون ال K ثابت سأخرج ال K
+
+126
+00:13:35,650 --> 00:13:40,210
+في
+
+127
+00:13:40,210 --> 00:13:53,920
+X تربيع على 2مظبوط من من X1 ل X2 يعني هكون سالب K
+
+128
+00:13:53,920 --> 00:14:06,540
+على 2 في X2 تربيع minus X1 تربيع
+
+129
+00:14:06,540 --> 00:14:14,220
+طيب
+
+130
+00:14:18,020 --> 00:14:21,480
+معناته u احد اتنين هتكون لو دخلنا ال minus جوه
+
+131
+00:14:21,480 --> 00:14:27,220
+هصير نص Kx واحد تربيع ناقص نص Kx اتنين تربيع و انا
+
+132
+00:14:27,220 --> 00:14:31,480
+ببعد عن
+
+133
+00:14:31,480 --> 00:14:35,480
+ال undefault position الذنبارك بيشتغل بيحاول
+
+134
+00:14:35,480 --> 00:14:41,040
+يرجعني بيعكسني صح بيعكس الإزاحة تعني و انا راجع
+
+135
+00:14:41,040 --> 00:14:44,160
+بيساعدني
+
+136
+00:14:44,160 --> 00:14:46,740
+صح بيكون ال work motion
+
+137
+00:14:53,360 --> 00:14:57,620
+زي ما حكينا work of force exerted while spraying
+
+138
+00:14:57,620 --> 00:15:02,020
+is positive لما تكون X2 أقل من X1 يعني زمبارك راجع
+
+139
+00:15:02,020 --> 00:15:12,660
+ال particle في رحلة الرجوع ممكن هذه
+
+140
+00:15:12,660 --> 00:15:21,590
+أعملها على شكل التالي minus سالب K على اتنينفى x2
+
+141
+00:15:21,590 --> 00:15:30,710
+نقص x1 فى x2 زاد
+
+142
+00:15:30,710 --> 00:15:38,990
+x1 يعني
+
+143
+00:15:38,990 --> 00:15:49,020
+هتكون سالب k على 2 تسمى x2 نقص x1 ايه تسميها؟delta
+
+144
+00:15:49,020 --> 00:16:00,080
+x في x واحد زاد x اتنين هدخل k جوا هدخل k جوا هكون
+
+145
+00:16:00,080 --> 00:16:12,340
+دي ناقص delta x على اتنين في k x واحد زاد k x
+
+146
+00:16:12,340 --> 00:16:18,690
+اتنين صح؟ طب ال k x واحدهي ال force عند ال initial
+
+147
+00:16:18,690 --> 00:16:24,450
+position سالب
+
+148
+00:16:24,450 --> 00:16:32,410
+دلتا X على اتنين في F واحد F واحد يعني K X واحد
+
+149
+00:16:32,410 --> 00:16:42,210
+صح؟ زاد F اتنين معناه B واحد اتنين بالثورة ناقص نص
+
+150
+00:16:43,570 --> 00:16:50,070
+فى F1 دي فى F2 فى delta X يعنى لو رسمت عملت plot
+
+151
+00:16:50,070 --> 00:16:57,870
+زى ما انتوا شايفين عاملين ال plot احنا لل
+
+152
+00:16:57,870 --> 00:17:04,710
+force بتاعة ال spring مع ال displacement ال Xسحبت
+
+153
+00:17:04,710 --> 00:17:07,230
+زبراك X واحد هتكون ال force F واحد لان ال force
+
+154
+00:17:07,230 --> 00:17:13,570
+يساوي K في X صح؟ سحبت أكتر X اتنين صارت ال force F
+
+155
+00:17:13,570 --> 00:17:22,790
+اتنين معناته هذا شبه ملحرف هي القاعدة الصغره هي
+
+156
+00:17:22,790 --> 00:17:27,170
+القاعدة الكبره معناه ان القاعدة الصغره كانت من
+
+157
+00:17:27,170 --> 00:17:32,510
+ارتفاعها F واحد من القاعدة الكبرهالقاعدة المتوسطة
+
+158
+00:17:32,510 --> 00:17:37,910
+F1 زي F2 على 2 التي هي هذه صح؟ فالارتفاع اللي هي
+
+159
+00:17:37,910 --> 00:17:42,410
+Delta X معناته ال work of force زي z by spring
+
+160
+00:17:42,410 --> 00:17:47,910
+اللي هي negative of the area under force against X
+
+161
+00:17:47,910 --> 00:17:53,450
+curve ناخد
+
+162
+00:17:53,450 --> 00:18:00,850
+ال gravitational force انا اذا عندي جسمينm capital
+
+163
+00:18:00,850 --> 00:18:05,550
+و m small بيكون كل واحد بيشد فيه و بيشد التاني ب
+
+164
+00:18:05,550 --> 00:18:11,630
+force F فعندي F و minus F مُسوين في البقدار و
+
+165
+00:18:11,630 --> 00:18:20,530
+مُضطين في الاتجاه لو أخدت ال position عند A هاي
+
+166
+00:18:20,530 --> 00:18:29,200
+كان موقعه R ال position عند A prime صار اختلفمعنى
+
+167
+00:18:29,200 --> 00:18:34,140
+ان اذا هذه R وهذه R اختلف لان هذه الشيء هتكون DR
+
+168
+00:18:34,140 --> 00:18:38,660
+معناه ال DU في ال displacement هيكون minus F
+
+169
+00:18:38,660 --> 00:18:43,240
+لاحظوا ال F عكس جاية عكس ال DR يعني زي ما بينهم
+
+170
+00:18:43,240 --> 00:18:47,900
+180 درجة صح؟ هتكون minus FDR هتكون بعوض على F اللي
+
+171
+00:18:47,900 --> 00:18:52,580
+هي minus G M capital M small على R square DR اذا
+
+172
+00:18:52,580 --> 00:18:54,740
+كنت تاخد ال work من واحد لاثنين U واحد لاثنين
+
+173
+00:18:54,740 --> 00:19:00,750
+هتكون تكاملنقص تكامل من R1 لR2 لGM M small على R2
+
+174
+00:19:00,750 --> 00:19:05,050
+DR ال GM M small ايش معلوم؟ ثومر بيطلع برا ال
+
+175
+00:19:05,050 --> 00:19:13,930
+integration بيصير minus GM M small تكامل من R1 لR2
+
+176
+00:19:13,930 --> 00:19:18,110
+DR على R تربيع ال R تربيع يعني R اصلا ناقص اتنين
+
+177
+00:19:18,110 --> 00:19:26,390
+تكامل ايش هكون؟ سالب 1 على Rمعناه تسالد مع السالو
+
+178
+00:19:26,390 --> 00:19:31,730
+إيش يصير هو جاب و بدك حدود ال integration من واحد
+
+179
+00:19:31,730 --> 00:19:35,450
+لاتنين يعني هتكون GM capital M small واحد على R
+
+180
+00:19:35,450 --> 00:19:43,230
+اتنين ناقص واحد على R واحد مش
+
+181
+00:19:43,230 --> 00:19:46,150
+كل ال forces اللي بتصادفنا بتعمل شغل في forces
+
+182
+00:19:46,150 --> 00:19:47,730
+بتعملش شغل
+
+183
+00:19:50,210 --> 00:19:54,750
+زي reaction at a frictionless pin supporting
+
+184
+00:19:54,750 --> 00:20:02,510
+rotating body يعني مثلا هاي body و
+
+185
+00:20:02,510 --> 00:20:16,270
+فيه pin و هنا مافيش friction, no friction معناته
+
+186
+00:20:16,270 --> 00:20:21,360
+هنا عندى رد فعل هنا عندى رد فعلهل بيصير إزاحة في
+
+187
+00:20:21,360 --> 00:20:25,760
+المنطقة هذه؟ مافيش إزاحة، معناته مافيش شغل، لو كان
+
+188
+00:20:25,760 --> 00:20:32,340
+فيه إحتكاك، بيكون شغل، أنا بحتاج الطاقة عشان أقام
+
+189
+00:20:32,340 --> 00:20:38,380
+الإحتكاك، لكن طالما مافيش إحتكاك، معناته بيكون بلف
+
+190
+00:20:38,380 --> 00:20:43,000
+بدون أي مشاكل، مش محتاج أي energy reaction at a
+
+191
+00:20:43,000 --> 00:20:47,970
+frictionless surface when the bodyin contact moves
+
+192
+00:20:47,970 --> 00:20:53,050
+along the surface الآن عندي جسم متحرك على مستوى
+
+193
+00:20:53,050 --> 00:21:00,930
+أفقي و مافيش احتكاك بين اتنين معناته رد الفعل هاي
+
+194
+00:21:00,930 --> 00:21:06,630
+الوزن وفيه رد الفعل العمودي رد الفعل العمودي انا
+
+195
+00:21:06,630 --> 00:21:12,790
+مابعمل شغل ليش؟ لأنه
+
+196
+00:21:15,380 --> 00:21:23,120
+لأ ممكن احط هاي تحت اثير force F حاسين إزاعة،
+
+197
+00:21:23,120 --> 00:21:27,040
+أظبط؟ حاسين إزاعة، مية في المية، هو عمود على
+
+198
+00:21:27,040 --> 00:21:34,020
+الإزاعة اللي بيحرك الجسم ال F هكون مركبتين، واحدة
+
+199
+00:21:34,020 --> 00:21:37,260
+أفقية، واحدة ممدلة، المركبة الأفقية هي هتعمل
+
+200
+00:21:37,260 --> 00:21:44,020
+إزاعة، لو في احتكاك، الاحتكاك هيقومهيعمل شغل معاكس
+
+201
+00:21:44,020 --> 00:21:48,200
+هيعمل شغل معاكس معناته إذا ال reaction at a
+
+202
+00:21:48,200 --> 00:21:50,880
+friction surface when a body is moving along a
+
+203
+00:21:50,880 --> 00:21:56,700
+surface ما بيعمل شغل لأن الزاوية بين ال reaction
+
+204
+00:21:56,700 --> 00:22:05,600
+force و الإزاحة تسعين درجة reaction
+
+205
+00:22:05,600 --> 00:22:09,120
+at
+
+206
+00:22:09,120 --> 00:22:20,260
+rollerعند رولر هو
+
+207
+00:22:20,260 --> 00:22:23,240
+عندنا rolling motion يعني في تدحرج مافي انزلاق
+
+208
+00:22:23,240 --> 00:22:27,900
+يعني مافي انزلاق يعني في احتكاك ال reaction force
+
+209
+00:22:27,900 --> 00:22:37,040
+هنا مابتعمل شغل لأن نسبيا سرعة النقطة هذه بتسمى
+
+210
+00:22:37,040 --> 00:22:44,060
+سرعة الأرضسرعة شو مستوى؟ صفر عشان ايك بكون فش شغل
+
+211
+00:22:44,060 --> 00:22:49,340
+weight
+
+212
+00:22:49,340 --> 00:22:51,660
+of a body when its center of gravity moves if
+
+213
+00:22:51,660 --> 00:22:59,100
+الجسم متحرك افقي الوزن بتاعه بيعمل الشغل فالوزن
+
+214
+00:22:59,100 --> 00:23:02,740
+نفسه ما في الحال هاد اذا كان الجسم متحرك افقيا
+
+215
+00:23:02,740 --> 00:23:05,120
+ووزن الجسم ما بيعمل الشغل
+
+216
+00:23:20,030 --> 00:23:24,750
+طيب خلينا نشوف كيف ال .. how to derive ال
+
+217
+00:23:24,750 --> 00:23:32,850
+principle of work and energy عند
+
+218
+00:23:32,850 --> 00:23:39,050
+جسم بتتحرك على مسار منحني في
+
+219
+00:23:39,050 --> 00:23:41,750
+لحظة معينة كان الجسم موقع عند .. موقع في عند
+
+220
+00:23:41,750 --> 00:23:46,450
+النقطة هذه كان تحت أثير force F ال F اللي احنا
+
+221
+00:23:46,450 --> 00:23:52,350
+حكيناه حاليا اللي هو مركبتينمركبة مماثية FT ومركبة
+
+222
+00:23:52,350 --> 00:23:57,910
+متعاملة بمصالح حركة F normal لان
+
+223
+00:23:57,910 --> 00:23:59,770
+انا ممكن احكي summation of forces باتجاه
+
+224
+00:23:59,770 --> 00:24:02,850
+tangential بيستوى MA tangential وsummation of
+
+225
+00:24:02,850 --> 00:24:05,070
+forces باتجاه normal بيستوى MA normal انا هاخد في
+
+226
+00:24:05,070 --> 00:24:07,730
+اتجاه ال tangential summation of forces لل
+
+227
+00:24:07,730 --> 00:24:12,050
+tangential along tangential بيستوى FT بيستوى MAT
+
+228
+00:24:12,050 --> 00:24:18,410
+ال AT احنا حاكيهاالـ AT بتعبر عن التغير في قيمة
+
+229
+00:24:18,410 --> 00:24:25,090
+السرعة و ال A نوع بتعبر عن التغير في اتجاه السرعة
+
+230
+00:24:25,090 --> 00:24:30,770
+فهذا هتكون M DV بو DT انا لحظة مش حاطط شحطة هنا
+
+231
+00:24:30,770 --> 00:24:35,950
+يعني انا بحكي اش قيمة السرعة DV بو DT لأن ضربت ال
+
+232
+00:24:35,950 --> 00:24:42,770
+bus هنا و المقام DS على DS مابصير تغير بصير DS على
+
+233
+00:24:42,770 --> 00:24:50,290
+DT اللي هي نفسها Vبحث سيراندي هى mvdv by ds ضابط
+
+234
+00:24:50,290 --> 00:24:56,610
+الطرفين فى ds بسيراندي ft ds بيستوى mvdv مانا
+
+235
+00:24:56,610 --> 00:25:03,950
+اتبعد اعمل تكامن من s واحد ال s اتنين ال ft ds ال
+
+236
+00:25:03,950 --> 00:25:08,930
+m constant تطلع برا m تكامن v واحدة v اتنين vdv
+
+237
+00:25:08,930 --> 00:25:14,270
+تكامن vdv اللى هى v تربية على اتنينو ال V تربيع
+
+238
+00:25:14,270 --> 00:25:19,350
+هتغير من V1 ل V2 يعني هتكون نص M V تربيع M V2
+
+239
+00:25:19,350 --> 00:25:25,190
+تربيع minus نص M V1 تربيع معناته و انا حكينا تكامل
+
+240
+00:25:25,190 --> 00:25:30,290
+FTDS ايش مثل الشغل المبدول من position 1 ل
+
+241
+00:25:30,290 --> 00:25:35,690
+position 2 معناته هتمثل U1 ل U2 بستوى T2 minus T1
+
+242
+00:25:35,690 --> 00:25:41,770
+و T هي ال kinetic energy معناته الشغل المبدول بين
+
+243
+00:25:41,770 --> 00:25:48,400
+1 و 2يساوي التغير في طاقة الحركة التغير في طاقة
+
+244
+00:25:48,400 --> 00:25:52,260
+الحركة او ممكن نعبر التعبير احسن نحكي اجيب ت واحد
+
+245
+00:25:52,260 --> 00:25:58,100
+ع جهة التانية ت واحد زائد واحد لاتنين بيساوي تتنين
+
+246
+00:25:58,100 --> 00:26:03,060
+معناه ان انا عشان اغير طاقة الحركة تع الجسم لازم
+
+247
+00:26:03,060 --> 00:26:09,580
+افزل شغل يا بعطي طاقة بخفف بزود طاقة حركته او باخد
+
+248
+00:26:09,580 --> 00:26:15,560
+منه طاقةو بقى نزل طاقة حركته بقى نزل سرعته والاخر
+
+249
+00:26:15,560 --> 00:26:21,600
+فالشغم من واحد لاتنين بيستوى التغير في طاقة الحركة
+
+250
+00:26:21,600 --> 00:26:26,300
+يعني U12 بيستوى T2-T1 هذا بيسموه ال principle of
+
+251
+00:26:26,300 --> 00:26:31,320
+work and energy الآن
+
+252
+00:26:31,320 --> 00:26:35,900
+ال power بتختلف
+
+253
+00:26:35,900 --> 00:26:43,790
+عن ال energyهي معدل استهلاكنا للطاقة أو معدل
+
+254
+00:26:43,790 --> 00:26:52,070
+استهلاكنا للشغل يعني ال
+
+255
+00:26:52,070 --> 00:27:00,110
+energy بتعبر عن مخزون ال battery مثلا هل هي جهاز
+
+256
+00:27:00,110 --> 00:27:06,450
+energy ولا جهاز power جهاز energy ال inverter
+
+257
+00:27:09,110 --> 00:27:13,870
+it has power انا فيه inverter بيحول من DC ل AC
+
+258
+00:27:13,870 --> 00:27:23,930
+كويس وفيه سخان قدرته واحد كيلو وات وفيه سخان تانى
+
+259
+00:27:23,930 --> 00:27:30,650
+اتنين كيلو وات الان معناته نفس البطارية نفس
+
+260
+00:27:30,650 --> 00:27:34,890
+البطارية نفس المخزون اللى فيها ممكن يعطينا واحد
+
+261
+00:27:34,890 --> 00:27:39,010
+كيلو وات ممكن يعطينا عشرة كيلو واتالفرق بين
+
+262
+00:27:39,010 --> 00:27:43,870
+الحالتين انه انا استنفدت في المرة الأولى استنفدت
+
+263
+00:27:43,870 --> 00:27:48,870
+ال energy او المخزون البطارية على فترة زمنية طويلة
+
+264
+00:27:48,870 --> 00:27:54,110
+مظبوط في الحالة التانية مع عشرة كيلو وات استنفدت
+
+265
+00:27:54,110 --> 00:27:59,390
+المخزون بسرعة سحبته بسرعة هذه الفرق فال power
+
+266
+00:27:59,390 --> 00:28:05,290
+بتمثل معدل استهلاكنا او القدرة معدل استهلاكنا ل
+
+267
+00:28:08,540 --> 00:28:17,040
+ممكن نرجع تمرى كأنه برميل ميه عندك هي برميل ميه
+
+268
+00:28:17,040 --> 00:28:23,280
+فيه ميه و هنا فيه فتحة مصورة عن التحت عندي برميل
+
+269
+00:28:23,280 --> 00:28:31,400
+تاني و نفس الحجم و فيه المصورة مثلا هنا نحكي نص
+
+270
+00:28:31,400 --> 00:28:42,040
+انش و هنا مثلا خمسة انشمين هيفض أسرع؟ هذا ولا هذا؟
+
+271
+00:28:42,040 --> 00:28:48,220
+الخمسة انش هيفض أسرع معدل تفريغي اللي هو ال flow
+
+272
+00:28:48,220 --> 00:28:57,180
+ال flow analog يماثل ال power ال energy اللي هي
+
+273
+00:28:57,180 --> 00:29:00,340
+كمية المي المخزونة تبعها، هذا energy معناته
+
+274
+00:29:00,340 --> 00:29:04,400
+البطارية برميل،
+
+275
+00:29:04,400 --> 00:29:08,100
+برميل كهربا، معبّى فيه كهربا، صح؟واللي أجي الساعة
+
+276
+00:29:08,100 --> 00:29:11,260
+اللي أنا بستخدم عندي سخان أو عندي مثلا بدي أشحن
+
+277
+00:29:11,260 --> 00:29:14,900
+جوال، الجوال أكمل، بيصحى مثلا اتنين، تلاتة واط،
+
+278
+00:29:14,900 --> 00:29:20,000
+خمسة واط مثلا؟ مثلا، ايش زيك؟ نحكي خمسة واط،
+
+279
+00:29:20,000 --> 00:29:25,180
+معناته هو بيصحى خمسة جول في الثانية، بيصحى من
+
+280
+00:29:25,180 --> 00:29:28,820
+المخزون هذا خمسة جول في الثانية، سخان كهربا ألف
+
+281
+00:29:28,820 --> 00:29:35,600
+واطمعناته بيسحب الف جول في الثانية يعني كأنه ال ..
+
+282
+00:29:35,600 --> 00:29:40,980
+ال .. الجوال مركب عليه مصورة N نص انش استخار مثلا
+
+283
+00:29:40,980 --> 00:29:50,760
+خمسة إنش مثلافال power هي معدل استهلاكنا للطاقة
+
+284
+00:29:50,760 --> 00:29:54,700
+لنفس مخزون الطاقة ممكن احصل power صغيرة جدا ممكن
+
+285
+00:29:54,700 --> 00:29:57,600
+احصل على power كبيرة جدا و الدليل في البيوت عندكم
+
+286
+00:29:57,600 --> 00:30:04,160
+بيكون مشبوك جوال صح في نفس اللحظة بياخد من نفس
+
+287
+00:30:04,160 --> 00:30:09,010
+المخزون مصدر التيار و مشبوك عليه تلاجةومشبوك عليه
+
+288
+00:30:09,010 --> 00:30:13,110
+مكوة ومشبوك عليه سخان ومشبوك عليه التلفزيون وها
+
+289
+00:30:13,110 --> 00:30:19,810
+كذا كل واحد بيسحب بيستنفذ قدر حاجته يعني طفل صغير
+
+290
+00:30:19,810 --> 00:30:26,450
+بيأكل مثلا نص الغيف تواحظ يا حلواتك بيسحبله خمس
+
+291
+00:30:26,450 --> 00:30:32,970
+طريقه، مظبوط؟ معناته انتوا .. انتوا more powerful
+
+292
+00:30:32,970 --> 00:30:37,910
+من ناحية إيش؟ استخلاقكوا لل .. للأكل، اه
+
+293
+00:30:41,230 --> 00:30:45,670
+ال .. ال unit of total power هي ال watt هي واحد هي
+
+294
+00:30:45,670 --> 00:30:49,770
+هتكون jewel per second او one horse power يعني
+
+295
+00:30:49,770 --> 00:30:52,850
+خمسمية و خمسين foot pound per second ال one horse
+
+296
+00:30:52,850 --> 00:30:57,230
+power بيستوى سبعمية و ستة و أربعين watt اللي في
+
+297
+00:30:57,230 --> 00:31:07,550
+شنسي هي ال output على ال input يعني
+
+298
+00:31:07,550 --> 00:31:16,850
+انا بقدرشفي الطبيعة أستهلك .. إذا دخلت مثلا N مية
+
+299
+00:31:16,850 --> 00:31:22,870
+أطلع مية، مستحيل، لأن مثلا بدي أشغل موتور كهراء،
+
+300
+00:31:22,870 --> 00:31:27,770
+موتور كهربا، دخلتله ميت وط، هل هطلعني طاقة حركة
+
+301
+00:31:27,770 --> 00:31:33,550
+ميت وط؟ لأ، لأن في فوائد في عند الاحتكاكفي الفراشة
+
+302
+00:31:33,550 --> 00:31:36,770
+ومقاومة الهواء في عند اللي هو بيصير التيارات ال
+
+303
+00:31:36,770 --> 00:31:41,530
+eddy currents اللي جوا الملف مظبوط كله هتتمثل ايه؟
+
+304
+00:31:41,530 --> 00:31:45,790
+فواقد عشان هيك ال efficiency بيستوى output على
+
+305
+00:31:45,790 --> 00:31:53,050
+input ودائما كمهندسين هدفنا احنا نقلص يعني to
+
+306
+00:31:53,050 --> 00:31:57,450
+maximize output يعني to maximize efficiency يعني
+
+307
+00:31:57,450 --> 00:32:01,010
+to maximize ال output بالنسبة لل input
+
+308
+00:32:04,780 --> 00:32:08,920
+طيب المحاضرة الجاي انا ليش بركز على ال power و ال
+
+309
+00:32:08,920 --> 00:32:11,960
+.. و ال .. power و ال energy كتير بخلطوا بينهم
+
+310
+00:32:11,960 --> 00:32:18,260
+بخلطوا بينهم ممكن نكتب الوحدات ال kilowatt hour في
+
+311
+00:32:18,260 --> 00:32:22,080
+كتير بيكتبوها مثلا kilowatt hour بيكتبوا kilowatt
+
+312
+00:32:22,080 --> 00:32:29,740
+شحتة hour كتير شاعر لأ kilowatt hour مختلف عن
+
+313
+00:32:29,740 --> 00:32:31,480
+kilowatt هذه إشي و هذه إشي
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/7Vh7Ew6mC4I.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/7Vh7Ew6mC4I.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0a92c6025dbeefbe6d4b329d3a607f31cec741af
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/7Vh7Ew6mC4I.srt
@@ -0,0 +1,943 @@
+1
+00:00:05,090 --> 00:00:07,810
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,810 --> 00:00:12,630
+وبركاته هنكمل في شبطر 11 kinematics of particles
+
+3
+00:00:12,630 --> 00:00:17,330
+اليوم هنحكي عن ال motion of several particles أو
+
+4
+00:00:17,330 --> 00:00:23,270
+الحركة المرتبطة dependent motion حركة مرتبطة يعني
+
+5
+00:00:23,270 --> 00:00:27,150
+في جسم حركته بتعتمد على جسم آخر يعني زي ما أنتو
+
+6
+00:00:27,150 --> 00:00:34,870
+شايفين عند ال block B و ال block A حركتها مرتبطة من
+
+7
+00:00:34,870 --> 00:00:41,110
+خلال البكارات عندي بكارة هنا وبكارة هنا الآن بتحرك
+
+8
+00:00:41,110 --> 00:00:49,770
+A تتحرك B فبدنا نحاول نوجد علاقة بين حركة A وحركة
+
+9
+00:00:49,770 --> 00:00:58,390
+B طبعا إذا تتطلّعوا كويس أول شيء طبعا لازم أعرف محاور
+
+10
+00:00:58,390 --> 00:01:02,890
+إحداثية، صح؟ reference هاي عندي مرجع
+
+11
+00:01:09,780 --> 00:01:20,640
+هذا يا شباب هذا مرجع، لأن موقع ال block A هسميه XA
+
+12
+00:01:20,640 --> 00:01:25,540
+موقع
+
+13
+00:01:25,540 --> 00:01:30,020
+ال block B هسميه XB
+
+14
+00:01:38,350 --> 00:01:42,770
+فكرة العلاقة الحبل
+
+15
+00:01:42,770 --> 00:01:51,230
+هذا، هل طول كل الحبل بتغير؟ ثابت، معناته لو جزأته ل
+
+16
+00:01:51,230 --> 00:02:03,110
+segment واحد واثنين وثلاثة خليني هذه
+
+17
+00:02:03,110 --> 00:02:04,730
+أسميها مسافة
+
+18
+00:02:07,620 --> 00:02:14,480
+delta one و
+
+19
+00:02:14,480 --> 00:02:20,240
+delta two طبعا delta واحد ثابتة و delta اثنين
+
+20
+00:02:20,240 --> 00:02:29,920
+ثابتة والمجموع L واحد زائد L اثنين زائد L ثلاثة
+
+21
+00:02:29,920 --> 00:02:32,160
+بالساوية ثابت
+
+22
+00:02:37,340 --> 00:02:45,120
+لأن في علاقة بين L واحد و XA لأن
+
+23
+00:02:45,120 --> 00:02:49,300
+L واحد بيساوي XA
+
+24
+00:02:49,300 --> 00:03:00,000
+ناقص Delta واحد، L اثنين، L
+
+25
+00:03:00,000 --> 00:03:03,940
+اثنين بيساوي XB ناقص Delta واحد
+
+26
+00:03:12,040 --> 00:03:21,860
+XB - Delta 1 - Delta 2 زائد ثلاثة
+
+27
+00:03:21,860 --> 00:03:25,400
+زائد
+
+28
+00:03:25,400 --> 00:03:29,260
+XB - Delta
+
+29
+00:03:29,260 --> 00:03:36,370
+2 بالساوية constant واحنا حكينا delta واحد بيساوي
+
+30
+00:03:36,370 --> 00:03:44,230
+constant ثابتة و delta اثنين بيساوي constant
+
+31
+00:03:44,230 --> 00:03:51,270
+معناته
+
+32
+00:03:51,270 --> 00:04:01,860
+ال term هذا وهذا وهذا وهذا وهذا ثوابت، أو
+
+33
+00:04:01,860 --> 00:04:04,960
+باقيها ثوابت، بيعطينا ثوابت مع أنّه أنا بتحصل في عندي
+
+34
+00:04:04,960 --> 00:04:15,640
+XA زائد XB زائد XB بيساوي ايش؟ ثابت، يعني أنا أنا
+
+35
+00:04:15,640 --> 00:04:24,940
+عندي XA زائد 2XB بيساوي constant، اشتق بالنسبة للزمن
+
+36
+00:04:24,940 --> 00:04:40,550
+أنا عندي VA زائد 2VB بيساوي صفر، و AA زائد 2
+
+37
+00:04:40,550 --> 00:04:48,490
+AB برضه بيساوي صفر، هذا ال system بيسمّى one degree
+
+38
+00:04:48,490 --> 00:04:50,570
+of freedom system، ايش يعني one degree of freedom
+
+39
+00:04:50,570 --> 00:04:56,710
+system؟ يعني ايش يعني درجة حرية واحدة، بتبقى ال
+
+40
+00:04:56,710 --> 00:04:59,310
+system كله بتتحكّم فيه، كل system بتتحكّم فيه، يعني بتحرك أنا
+
+41
+00:04:59,310 --> 00:05:03,530
+بتحكّم في ال system بمتغيّر واحد، يعني أنا حركت ايه
+
+42
+00:05:03,530 --> 00:05:07,970
+كل ال system بتتحرّك، فبسمّيه
+
+43
+00:05:07,970 --> 00:05:12,350
+اللي هو one degree of freedom، نشوف حلقة ثانية عن
+
+44
+00:05:12,350 --> 00:05:17,890
+ثلاثة بلوكات A وB وC موصولين خلال نظام البكارات
+
+45
+00:05:17,890 --> 00:05:18,710
+اللي احنا شايفينه
+
+46
+00:05:25,500 --> 00:05:31,940
+نفس الفكرة عندي هاي واحد اثنين ثلاثة أربعة
+
+47
+00:05:31,940 --> 00:05:40,620
+الخمسة، بجمعهم شو بيساوي؟ ثابت، الواحد زائد اثنين زائد
+
+48
+00:05:40,620 --> 00:05:47,540
+الثلاثة زائد الأربعة زائد الخمسة بيساوي ثابت
+
+49
+00:05:54,630 --> 00:06:02,810
+هذا ثابت، الواحد بيمثّل ايش يعني؟
+
+50
+00:06:02,810 --> 00:06:09,570
+بيمثّل XA، صح؟ لأن XA الواحد زائد constant هذه
+
+51
+00:06:09,570 --> 00:06:21,110
+هتكون ايش؟ XA ناقص اثنين XA
+
+52
+00:06:21,110 --> 00:06:23,970
+ناقص هذا ناقص يعني برضه XA صح
+
+53
+00:06:28,630 --> 00:06:37,110
+L ثلاثة XB، L
+
+54
+00:06:37,110 --> 00:06:44,650
+أربعة XB XC
+
+55
+00:06:44,650 --> 00:06:48,070
+XA
+
+56
+00:06:48,070 --> 00:06:57,710
+XB XC XC XC XC XC XC XC XC XC XC XC XC XC XC XC XC
+
+57
+00:06:57,710 --> 00:07:02,970
+XC XC XC XC XC XC Va زائد 2Vb زائد 2Vc
+
+58
+00:07:02,970 --> 00:07:10,630
+بيساوي Zero، و 2Aa زائد 2Ab زائد 2Ac
+
+59
+00:07:10,630 --> 00:07:20,610
+بيساوي Zero، الحل
+
+60
+00:07:20,610 --> 00:07:21,050
+مثال
+
+61
+00:07:36,320 --> 00:07:41,780
+عندي نظام بكارات system أو
+
+62
+00:07:41,780 --> 00:07:49,080
+بكارات، عندي ال block A slides على هذا المسار و block
+
+63
+00:07:49,080 --> 00:07:54,880
+D slides على هذا المسار و block B مربوط في نهاية
+
+64
+00:07:54,880 --> 00:08:05,620
+الحبل وفي عندي بكارة واحدة اثنتين ثلاث بكارات، طولي
+
+65
+00:08:05,620 --> 00:08:14,970
+D لأن عندي ثلاثة أجسام A وB وD، Poly D is attached to
+
+66
+00:08:14,970 --> 00:08:17,530
+a color which is pulled down at three centimeters
+
+67
+00:08:17,530 --> 00:08:32,250
+per second، يعني خلينا أنا أكتب ألخص المسألة، عندي
+
+68
+00:08:32,250 --> 00:08:35,090
+A
+
+69
+00:08:38,580 --> 00:08:42,480
+وB و
+
+70
+00:08:42,480 --> 00:08:48,900
+D، Poly
+
+71
+00:08:48,900 --> 00:08:52,940
+D is attached to a color which is pulled down at 3
+
+72
+00:08:52,940 --> 00:08:59,020
+meters per second، سحبنا D لتحت بمعدّل
+
+73
+00:08:59,020 --> 00:09:04,380
+ثابت، لازم أعرف نظام الإحداثيات عندي صح؟ هي ال reference
+
+74
+00:09:07,460 --> 00:09:11,360
+هي عندي هذه XA
+
+75
+00:09:11,360 --> 00:09:15,980
+هذه
+
+76
+00:09:15,980 --> 00:09:31,660
+XD وهذه
+
+77
+00:09:31,660 --> 00:09:32,420
+XB
+
+78
+00:09:37,340 --> 00:09:48,860
+حكى ال D سحبناها لتحت بسرعة منتظمة، يعني VD ايش
+
+79
+00:09:48,860 --> 00:09:56,140
+بالساوية ثلاثة سنتي في الثانية، و AD ايش؟ بالساوية
+
+80
+00:09:56,140 --> 00:10:03,300
+صفر، و
+
+81
+00:10:03,300 --> 00:10:05,580
+لتحت عندي موجة، بنا، صح؟
+
+82
+00:10:08,440 --> 00:10:15,720
+الـ time equals zero بداية الحركة، color
+
+83
+00:10:15,720 --> 00:10:20,020
+A starts
+
+84
+00:10:20,020 --> 00:10:28,280
+moving down from K with constant acceleration and
+
+85
+00:10:28,280 --> 00:10:31,040
+zero initial velocity، يعني هتكون
+
+86
+00:10:38,880 --> 00:10:49,560
+بساوي صفر، و AA بيساوي constant ثابت مش معروف يعني
+
+87
+00:10:49,560 --> 00:10:58,900
+صح Knowing
+
+88
+00:10:58,900 --> 00:11:04,800
+that the velocity of color A is twelve centimeters
+
+89
+00:11:04,800 --> 00:11:08,240
+per second as it passes L
+
+90
+00:11:09,830 --> 00:11:13,210
+لما ال A وصلت لـ L كانت سرعتها اثني عشر سنتي في الثانية
+
+91
+00:11:13,210 --> 00:11:17,550
+يعني VA دعونا
+
+92
+00:11:17,550 --> 00:11:28,890
+نعتبرها عند L هذه بيساوي اثني عشر سنتي per second طيب
+
+93
+00:11:28,890 --> 00:11:33,210
+هو عند L يعني
+
+94
+00:11:33,210 --> 00:11:38,410
+هتكون Delta XA ثمانية سنتيمترات، Delta XA
+
+95
+00:11:43,490 --> 00:11:47,850
+بيساو ثمانية سنتيمترات
+
+96
+00:11:47,850 --> 00:11:52,810
+determine
+
+97
+00:11:52,810 --> 00:11:56,270
+the change in elevation، أو التغيير في الارتفاع
+
+98
+00:11:56,270 --> 00:12:02,770
+تغير الارتفاع لـ B والسرعة و ال acceleration لـ B
+
+99
+00:12:02,770 --> 00:12:09,550
+لما ال A وصلت لـ L، لما ال A وصلت لـ L خلينا
+
+100
+00:12:09,550 --> 00:12:16,780
+نبدأ في A، نشوف ايش المعروف عنها، ايش؟ بتتحرك بداية من
+
+101
+00:12:16,780 --> 00:12:21,280
+السكون بسرعة ابتدائية صفر، وبتتحرك بـ constant
+
+102
+00:12:21,280 --> 00:12:25,440
+acceleration وسرعتها في نهاية عند نقطة L اثني عشر
+
+103
+00:12:25,440 --> 00:12:28,160
+سنتيمتر، ومشت مسافة ثمانية سنتيمترات، ثمانية سنتيمترات، معروف
+
+104
+00:12:28,160 --> 00:12:33,180
+سرعة ابتدائية، ومعروف المسافة، ومعروف السرعة النهائية
+
+105
+00:12:33,180 --> 00:12:41,000
+ال acceleration اللي هنحسبها، VA تربيع
+
+106
+00:12:42,340 --> 00:12:54,640
+بيساوي VA naught تربيع زائد 2AA Delta XA، صح؟ أنا
+
+107
+00:12:54,640 --> 00:13:03,360
+هيكون اثني عشر تربيع بيساوي صفر زائد 2AA في Delta X
+
+108
+00:13:03,360 --> 00:13:06,920
+ثمانية، يعني AA
+
+109
+00:13:33,450 --> 00:13:38,740
+معناته حركة A معرفة بشكل كامل، أنا عارف ال
+
+110
+00:13:38,740 --> 00:13:42,180
+displacement بتاعتها، و ال velocity، و ال
+
+111
+00:13:42,180 --> 00:13:47,720
+acceleration، و
+
+112
+00:13:47,720 --> 00:13:54,680
+D بعرف أنّه بيمشي بسرعة منتظمة، و ال acceleration
+
+113
+00:13:54,680 --> 00:14:01,600
+بتاعته صفر، وأنا بدّي حركة B، المعنى أن
+
+114
+00:14:01,600 --> 00:14:08,960
+أنت بتحاول توجد علاقة، لأن حركة A و B و D مرتبطة
+
+115
+00:14:08,960 --> 00:14:20,200
+بدون علاقة بينهم، الواحد زائد اثنين زائد ثلاثة زائد أربعة
+
+116
+00:14:20,200 --> 00:14:33,750
+هيكون عندي الواحد زائد L2 زائد L3 زائد L4 بالساوية
+
+117
+00:14:33,750 --> 00:14:37,970
+constant، L1
+
+118
+00:14:37,970 --> 00:14:43,350
+XA
+
+119
+00:14:43,350 --> 00:14:51,370
+L2
+
+120
+00:14:51,370 --> 00:15:02,990
+XD، و L3 XD زائد XD زائد XB زائد XD زائد X
+
+121
+00:15:02,990 --> 00:15:08,790
+B زائد XB زائد XD زائد XB زائد XB زائد
+
+122
+00:15:08,790 --> 00:15:12,830
+XD زائد XB زائد XB زائد XD زائد XB
+
+123
+00:15:12,830 --> 00:15:23,230
+زائد XB زائد XD زائد XB زائد XB زائد
+
+124
+00:15:23,230 --> 00:15:23,290
+XD زائد XB زائد XB زائد XD زائد XB
+
+125
+00:15:23,290 --> 00:15:41,880
+زائد XB يعني XA زائد XB زائد 2XD هيساوي XA ناقص زائد
+
+126
+00:15:41,880 --> 00:15:51,360
+XB ناقص زائد 2XD ناقص، بجيبه على الجهة الثانية
+
+127
+00:15:56,340 --> 00:16:06,040
+دلتا XA زائد اثنين زائد دلتا XB
+
+128
+00:16:06,040 --> 00:16:19,740
+زائد اثنين زائد دلتا XD بالساوية الصفر، دكتور
+
+129
+00:16:19,740 --> 00:16:22,300
+حميد كيف؟ عشان XA نقول دلتا و XB نقول اثنين
+
+130
+00:16:28,540 --> 00:16:32,080
+ما أنا بحكيلك أن هذا constant في أي لحظة في الزمن
+
+131
+00:16:32,080 --> 00:16:36,660
+بغض النظر عن قيمتها، يعني هتكون XA واحد زائد يعني
+
+132
+00:16:36,660 --> 00:16:41,980
+في لحظة واحد، كان زمن واحد، XA واحد زائد XB واحد
+
+133
+00:16:41,980 --> 00:16:48,760
+زائد اثنين XD واحد بيساوي XA اثنين زائد XB اثنين
+
+134
+00:16:48,760 --> 00:16:54,500
+زائد XD اثنين، XD اثنين وبرضه بتساوي عن ثلاثة عن
+
+135
+00:16:54,500 --> 00:16:59,110
+أربعة عن خمسة عن ستة، يعني إذا غيرت واحد لازم الثاني
+
+136
+00:16:59,110 --> 00:17:03,070
+يتغيروا عشان يبقى المجموع يضل constant
+
+137
+00:17:03,070 --> 00:17:08,070
+فأنا أخذت هذه البداية، هذه البداية وهذه النهاية
+
+138
+00:17:08,070 --> 00:17:14,510
+عشان أحصل على معادلة دلتا XA زائد دلتا XB زائد دلتا XD
+
+139
+00:17:14,510 --> 00:17:19,330
+بيساوي constant، دلتا XA كم؟ بيساوي ثمانية
+
+140
+00:17:21,570 --> 00:17:27,490
+دلتا XA، دلتا XB، ودلتا XD مش معروفين عندي صح؟ يعني
+
+141
+00:17:27,490 --> 00:17:40,270
+هيكون دلتا XB زائد اثنين دلتا XD بيساوي سالب
+
+142
+00:17:40,270 --> 00:17:47,710
+ثمانية، هذه المعادلة يا شباب خلينا نحكي هذه واحد وهذه
+
+143
+00:17:47,710 --> 00:17:49,830
+يا شباب اثنين
+
+144
+00:17:52,200 --> 00:17:56,860
+الآخر، خليني اشتقّ واحد بالنسبة للزمن، اشتقّ المعادلة
+
+145
+00:17:56,860 --> 00:18:05,380
+واحد بالنسبة للزمن، هتصير هذه ايش؟ VA زائد
+
+146
+00:18:05,380 --> 00:18:08,900
+VB
+
+147
+00:18:08,900 --> 00:18:12,400
+زائد
+
+148
+00:18:12,400 --> 00:18:19,060
+اثنين VD بالسوء ايش؟ صفر
+
+149
+00:18:22,310 --> 00:18:30,590
+هذه معادلة ثلاثة، نحكي طيب، لأ مهو ال VA Initially
+
+150
+00:18:30,590 --> 00:18:36,210
+Initially Initially
+
+151
+00:18:36,210 --> 00:18:40,170
+نحكي at time
+
+152
+00:18:42,220 --> 00:18:55,360
+equal zero كانت VA naught ايش بيساوي؟ صفر، و VD naught ماهي
+
+153
+00:18:55,360 --> 00:19:00,380
+بيساوي، VD ماهي constant بيساوي ثلاثة سنتي per
+
+154
+00:19:00,380 --> 00:19:09,340
+second، المعنى المعوض هنا هيكون هذه صفر زائد
+
+155
+00:19:09,340 --> 00:19:11,360
+VB naught
+
+156
+00:19:14,330 --> 00:19:24,810
+زائد اثنين في ثلاثة ساوى زيرو، معناته VB naught سالب
+
+157
+00:19:24,810 --> 00:19:34,070
+ستة سنتيمتر في الثانية، هتكون طالعة لأعلى، طيب
+
+158
+00:19:34,070 --> 00:19:40,810
+هذه معادلة يا شباب ثلاثة، اشتقّها كم مرة بالنسبة للزمن؟
+
+159
+00:19:47,370 --> 00:19:56,970
+أو خليني لأ خليني بالمرة، اتـ ... اتـ ... اتقل ايش كان ال VA؟
+
+160
+00:19:56,970 --> 00:20:02,030
+VA بالثانية اثني عشر
+
+161
+00:20:02,030 --> 00:20:12,150
+سنتي، واِيش كانت VD؟ ثلاثة سنتي في الثانية، بنعوّض
+
+162
+00:20:12,150 --> 00:20:16,470
+في المعادلة هذه، اللي هي اثني عشر
+
+163
+00:20:19,000 --> 00:20:23,800
+زائد VB زائد
+
+164
+00:20:23,800 --> 00:20:33,280
+اثنين في ثلاثة بالساوي صفر، صح؟ معناته VB عند اللحظة
+
+165
+00:20:33,280 --> 00:20:37,820
+هتساوي اثني عشر
+
+166
+00:20:37,820 --> 00:20:43,260
+سالب ثمانية عشر سنتي per second
+
+167
+00:20:49,370 --> 00:20:53,710
+خليني اشتغل المعادلة بالنسبة للوقت، هسا عندي
+
+168
+00:20:53,710 --> 00:20:58,330
+AA زائد
+
+169
+00:20:58,330 --> 00:21:10,130
+AB زائد اثنين AD بالساوية صفر، احنا عارفين AD
+
+170
+00:21:10,130 --> 00:21:17,310
+ايش؟ بالساوية صفر، صفر، معناته
+
+171
+00:21:17,310 --> 00:21:26,020
+AA زائد AB قيمتها حسبناها تسعة زائد AB اللي احنا مش
+
+172
+00:21:26,020 --> 00:21:37,160
+عارفينها زائد صفر بتساوي صفر، معناته AB بتساوي
+
+173
+00:21:37,160 --> 00:21:42,940
+سالب تسعة سنتيمتر لكل second تربيع، هذه AB
+
+174
+00:21:53,010 --> 00:21:58,850
+الآن بعرف ال VB السرعة الابتدائية، والسرعة
+
+175
+00:21:58,850 --> 00:22:06,710
+النهائية، و ال acceleration، إذا أنا بعرف السرعة
+
+176
+00:22:06,710 --> 00:22:09,950
+الابتدائية، وبعرف السرعة النهائية وبعرف ال
+
+177
+00:22:09,950 --> 00:22:14,810
+acceleration ممكن أحسب ايش؟ Delta X، يعني هذه اجزاء VB
+
+178
+00:22:14,810 --> 00:22:26,710
+تربيع بتساوي VB naught تربيع زائد 2AB في Delta X
+
+179
+00:22:26,710 --> 00:22:41,070
+B، صح؟ VB كانت ناقص ثمانية عشر تربيع بتساوي VB naught
+
+180
+00:22:41,070 --> 00:22:44,210
+سالب
+
+181
+00:22:44,210 --> 00:22:55,030
+ستة تربيع زائد 2AB سالب تسعة
+
+182
+00:22:55,030 --> 00:23:04,530
+في سالب تسعة في Delta XB، يعني هتكون ثمانية عشر ناقص
+
+183
+00:23:04,530 --> 00:23:07,950
+ستة، اثني عشر، اثني عشر، أربعة وعشرون، مائة وأربع وأربعين في
+
+184
+00:23:07,950 --> 00:23:10,890
+اثنين، اثنين وثمانية وثمانين، بيطلع هذا الرقم على
+
+185
+00:23:10,890 --> 00:23:16,310
+اثنين، مائة وأربع وأربعين على اثنين، مائة وثمانية وع
+
+223
+00:27:54,260 --> 00:27:56,940
+عن graphical solution of rectilinear motion
+
+224
+00:28:19,970 --> 00:28:31,430
+أنا في حالات ال
+
+225
+00:28:31,430 --> 00:28:33,570
+graphical solution أنتَ هي الـ graphical بترسم
+
+226
+00:28:33,570 --> 00:28:36,670
+المهندس برسم دائماً، المهندس اللي ما بيعرفش يعمل
+
+227
+00:28:36,670 --> 00:28:41,290
+sketching ما بيعرفش يعمل graphing، مش المهندس رقم واحد
+
+228
+00:28:41,290 --> 00:28:45,110
+لازم الـ sketching و لازم الـ graphing، الـ graphing
+
+229
+00:28:45,110 --> 00:28:50,190
+بيعطيك عمق أكثر، تفهم الممثلة، وبتشوف الصورة الكلية
+
+230
+00:28:50,190 --> 00:28:52,810
+بس تطلع الشكل بتشوف كل الصورة على طول الفترة
+
+231
+00:28:52,810 --> 00:29:01,430
+الزمنية، الآن ممكن نبدأ من الإزاحة، إن علاقة الإزاحة
+
+232
+00:29:01,430 --> 00:29:05,650
+مع الزمن معروفة، مظبوط، ما نروح نجيب فلس و
+
+233
+00:29:05,650 --> 00:29:10,860
+acceleration خلال الاشتقاق، صح؟ يعني هتكون الـ
+
+234
+00:29:10,860 --> 00:29:18,980
+V = dx/dt و a = dv/dt، إزاي ما
+
+235
+00:29:18,980 --> 00:29:24,980
+أنتوا شايفين؟ يعني عندنا الـ displacement is a
+
+236
+00:29:24,980 --> 00:29:29,380
+function of
+
+237
+00:29:29,380 --> 00:29:39,440
+time، T، يعني عند time T1 كانت قيمة الإزاحة X
+
+238
+00:29:39,440 --> 00:29:44,460
+السرعة إيش هتكون؟ الـ slope، صح؟ الـ slope في اللحظة في
+
+239
+00:29:44,460 --> 00:29:49,760
+الأولى هي، يعني الـ أول slope إيش؟ معدل صفر، بدأ سرعة
+
+240
+00:29:49,760 --> 00:29:53,980
+من إيش؟ من صفر، وكل ما الـ slope بيزيد، بيزيد، بيزيد
+
+241
+00:29:53,980 --> 00:29:59,240
+بيزيد، بيزيد، واضح إنه إيش؟ معدل السرعة إيش؟ بتزيد، الـ
+
+242
+00:29:59,240 --> 00:30:01,880
+acceleration هي الـ derivative لإيش؟ للـ velocity
+
+243
+00:30:01,880 --> 00:30:06,840
+اللحظة عند الـ صفر، في قيمة الـ slope، صح؟ ما بدأش من
+
+244
+00:30:06,840 --> 00:30:14,120
+صفر، الـ slope شماله بدأ maximum وكل ما إليه بيقل، صح؟
+
+245
+00:30:14,120 --> 00:30:20,840
+معناته الـ acceleration شماله بتقل، لأن
+
+246
+00:30:20,840 --> 00:30:24,620
+الحالة الثانية إنه بيكون العكس، أنا عندي الـ
+
+247
+00:30:24,620 --> 00:30:30,080
+acceleration كدالة في الزمن، وبرجع جوا بحسب السرعة
+
+248
+00:30:30,080 --> 00:30:36,720
+وبحسب، يعني من خلال التكامل، يعني عندي مثلاً في الـ
+
+249
+00:30:36,720 --> 00:30:38,960
+curve الأولى اللي عندي، الـ acceleration is given as
+
+250
+00:30:38,960 --> 00:30:44,800
+a function of time، هذه الدالة مع الزمن، معناته أنا
+
+251
+00:30:44,800 --> 00:30:49,440
+عارف الـ time T1 قيمة الـ acceleration، والـ time
+
+252
+00:30:49,440 --> 00:30:54,400
+T2، acceleration معروفة، الآن إحنا بنعرف الـ
+
+253
+00:30:54,400 --> 00:31:01,420
+acceleration بيساوي dv/dt، معناته dv بيساوي a في
+
+254
+00:31:01,420 --> 00:31:07,580
+dt، معناته أعمل تكامل لـ dv، تكامل الـ dv إيش بيساوي؟
+
+255
+00:31:07,580 --> 00:31:15,820
+تكامل الـ a dt، معناته v2، تكامل الـ dv اللي هي v2
+
+256
+00:31:15,820 --> 00:31:24,860
+ناقص v1، هيساوي تكامل الـ a dt من T1 لـ T2، معناته
+
+257
+00:31:24,860 --> 00:31:29,400
+بتمثل، معناته v2
+
+258
+00:31:29,400 --> 00:31:40,040
+هي v2 ناقص v1، بيساوي المساحة تحت
+
+259
+00:31:40,040 --> 00:31:46,880
+المنحنى، هذه المساحة اللي هي هذا الطول، هذا هو
+
+260
+00:31:46,880 --> 00:31:57,040
+المساحة هذه، يعني v2 ناقص v1، هذه القيمة، زاد
+
+261
+00:31:57,040 --> 00:32:02,020
+المساحة هذه، نفس الشيء، صارت معروفة عن الـ time عن T
+
+262
+00:32:02,020 --> 00:32:06,660
+واحد، وv1 معروفة، فعند T2 وv2 معروفة
+
+263
+00:32:06,660 --> 00:32:14,000
+إحنا بنعرف إن v بيساوي dx/dt، يعني dx بيساوي v dt
+
+264
+00:32:14,000 --> 00:32:19,080
+معناته تكامل dx اللي هي x2 ناقص x1، بيساوي
+
+265
+00:32:19,080 --> 00:32:23,620
+تكامل v dt من T1 لـ T2، تكامل v dt هي المساحة
+
+266
+00:32:23,620 --> 00:32:29,600
+تحت منحنى السرعة، اللي هي هذه المساحة، بتمثل الطول
+
+267
+00:32:29,600 --> 00:32:37,160
+هذا، x2-x1، يعني x2 بيساوي x1 زائد المساحة
+
+268
+00:32:37,160 --> 00:32:44,200
+هذه، اللي هي تكامل المحاضرة
+
+269
+00:32:44,200 --> 00:32:52,720
+الجاية، هنحل مثال على الـ graphical solution، وهذا
+
+270
+00:32:52,720 --> 00:32:59,080
+حلو مثال على Adams برنامج Adams، وعمل plot من Adams
+
+271
+00:32:59,080 --> 00:33:05,940
+على الـ acceleration والـ velocity والـ time مع الزمن
+
+272
+00:33:05,940 --> 00:33:10,260
+تاكلوا
+
+273
+00:33:10,260 --> 00:33:10,580
+عافية
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/7Vh7Ew6mC4I_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/7Vh7Ew6mC4I_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..7ab4e98d74d5733fe4d00b55a45990291f64ce92
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/7Vh7Ew6mC4I_raw.srt
@@ -0,0 +1,1100 @@
+1
+00:00:05,090 --> 00:00:07,810
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,810 --> 00:00:12,630
+وبركاته هنكمل في شبطر 11 kinematics of particles
+
+3
+00:00:12,630 --> 00:00:17,330
+اليوم هنحكي عن ال motion of several particles او
+
+4
+00:00:17,330 --> 00:00:23,270
+الحركة المرتبطة dependent motion حركة مرتبطة يعني
+
+5
+00:00:23,270 --> 00:00:27,150
+في جسم حركته بتعتمد على جسم اخر يعني زي ما انتوا
+
+6
+00:00:27,150 --> 00:00:34,870
+شايفين عند ال block B و block Aحركتها مرتبطة من
+
+7
+00:00:34,870 --> 00:00:41,110
+خلال البكارات عندي بكارة هنا وبكارة هنا الآن بتحرك
+
+8
+00:00:41,110 --> 00:00:49,770
+A تتحرك B فبدنا نحاول نوجد علاقة بين حركة A وحركة
+
+9
+00:00:49,770 --> 00:00:58,390
+B طبعا إذا تطلعه كويس أول شي طبعا لازم أعرف محاول
+
+10
+00:00:58,390 --> 00:01:02,890
+إحداثية صح reference هاي عندي مرجع
+
+11
+00:01:09,780 --> 00:01:20,640
+هذا ياشفر هذا مارجع لأن موقع ال block A هسمي XA
+
+12
+00:01:20,640 --> 00:01:25,540
+موقع
+
+13
+00:01:25,540 --> 00:01:30,020
+ال block B هسمي XB
+
+14
+00:01:38,350 --> 00:01:42,770
+فكرة العلاقة الحبل
+
+15
+00:01:42,770 --> 00:01:51,230
+هذا هل طول كل الحبل بتغير ثابت معناته لو جزأته ل
+
+16
+00:01:51,230 --> 00:02:03,110
+segment ال واحد و ال اتنين و ال تلتة خليني هذي
+
+17
+00:02:03,110 --> 00:02:04,730
+أسميها مسافة
+
+18
+00:02:07,620 --> 00:02:14,480
+delta one و
+
+19
+00:02:14,480 --> 00:02:20,240
+delta two طبعا delta واحد ثابتة و delta اتنين
+
+20
+00:02:20,240 --> 00:02:29,920
+ثابتة و المجموع L واحد زاد L اتنين زاد L تلاتة
+
+21
+00:02:29,920 --> 00:02:32,160
+بالساوية ثابت
+
+22
+00:02:37,340 --> 00:02:45,120
+لأن في علاقة بين L واحد و XA لأن
+
+23
+00:02:45,120 --> 00:02:49,300
+L واحد بيستوى XA
+
+24
+00:02:49,300 --> 00:03:00,000
+minus Delta واحد L اتنين L
+
+25
+00:03:00,000 --> 00:03:03,940
+اتنين بيستوى XB ناقص Delta واحد
+
+26
+00:03:12,040 --> 00:03:21,860
+XB-Delta 1-Delta 2 زائد التلاتة
+
+27
+00:03:21,860 --> 00:03:25,400
+زائد
+
+28
+00:03:25,400 --> 00:03:29,260
+XB-Delta
+
+29
+00:03:29,260 --> 00:03:36,370
+2 بالساوية constantو احنا حكينا delta واحد بيستوي
+
+30
+00:03:36,370 --> 00:03:44,230
+constant ثابتة و delta اتنين بيستوي constant
+
+31
+00:03:44,230 --> 00:03:51,270
+معناته
+
+32
+00:03:51,270 --> 00:04:01,860
+ال term هذا و هذا و هذا و هذا و هذاثوابت اقرح اوش
+
+33
+00:04:01,860 --> 00:04:04,960
+بقالها ثوابت بيطينا ثوابت مع ان انا اتحصل في عند
+
+34
+00:04:04,960 --> 00:04:15,640
+XA زائد XB زائد XB بيستوى ايش ثابت يعني انا انا
+
+35
+00:04:15,640 --> 00:04:24,940
+عند XA زائد 2XB بيستوى constant اشتق بالنسبة للزمن
+
+36
+00:04:24,940 --> 00:04:40,550
+انا عند VAزاد اتنين VB بسواية سفر و AA زاد اتنين
+
+37
+00:04:40,550 --> 00:04:48,490
+AB برضه بسواية سفر هذا ال system بيسميه one degree
+
+38
+00:04:48,490 --> 00:04:50,570
+of freedom system ايش يعني one degree of freedom
+
+39
+00:04:50,570 --> 00:04:56,710
+system يعني ايش يعني درجة حرية واحدةبتبقى ال
+
+40
+00:04:56,710 --> 00:04:59,310
+system كله بتحرك كل system بتحرك يعني بتحرك انا
+
+41
+00:04:59,310 --> 00:05:03,530
+بتحكم في ال system بمتغير واحد يعني انا حركت ايه
+
+42
+00:05:03,530 --> 00:05:07,970
+كل system بتحرك فبسميه
+
+43
+00:05:07,970 --> 00:05:12,350
+اللي هو one degree of freedom نشوف حلقة تانية عن
+
+44
+00:05:12,350 --> 00:05:17,890
+تلاتة بلوكات A وB وC موصيبين خلال نظام البكارات
+
+45
+00:05:17,890 --> 00:05:18,710
+اللي احنا شايفينه
+
+46
+00:05:25,500 --> 00:05:31,940
+نفس الفكرة عندي هاي الواحد الاتنين التلاتة الاربع
+
+47
+00:05:31,940 --> 00:05:40,620
+الخمسة بجمعهم شو يساوي ثابت الواحد زاد الاتنين زاد
+
+48
+00:05:40,620 --> 00:05:47,540
+التلاتة زاد الاربع زاد الخمسة بيساوي ثابت
+
+49
+00:05:54,630 --> 00:06:02,810
+هذا ثابت الواحد بيعدي عن ايش يعني
+
+50
+00:06:02,810 --> 00:06:09,570
+بيعدي عن XA صح لأن XA الواحد زاد constant هذه
+
+51
+00:06:09,570 --> 00:06:21,110
+هتكون ايه اش XA أقل اتنين XA
+
+52
+00:06:21,110 --> 00:06:23,970
+ناقص هذا ناقص يعني برضه XA صح
+
+53
+00:06:28,630 --> 00:06:37,110
+L تلاتة XB L
+
+54
+00:06:37,110 --> 00:06:44,650
+أربعة XB XC
+
+55
+00:06:44,650 --> 00:06:48,070
+XA
+
+56
+00:06:48,070 --> 00:06:57,710
+XB XC XC XC XC XC XC XC XC XC XC XC XC XC XC XC XC
+
+57
+00:06:57,710 --> 00:07:02,970
+XC XC XC XC XC XC XCVa زي اتنين Vb زي اتنين Vc
+
+58
+00:07:02,970 --> 00:07:10,630
+بيساوي Zero و اتنين Aa زي اتنين Ab زي اتنين Ac
+
+59
+00:07:10,630 --> 00:07:20,610
+بيساوي Zero الحل
+
+60
+00:07:20,610 --> 00:07:21,050
+مثال
+
+61
+00:07:36,320 --> 00:07:41,780
+عندي نظام كاميرات system او
+
+62
+00:07:41,780 --> 00:07:49,080
+بكارات عند ال block A slides ع هذا المصار و block
+
+63
+00:07:49,080 --> 00:07:54,880
+D slides ع هذا المصار و block B مربوط في ناقة
+
+64
+00:07:54,880 --> 00:08:05,620
+الحبل وفي عند بكارة واحد تنتين تلت بكارات طولي
+
+65
+00:08:05,620 --> 00:08:14,970
+Dلأن عندي تلت أجسام A وB وD Poly D is attached to
+
+66
+00:08:14,970 --> 00:08:17,530
+a color which is pulled down at three centimeters
+
+67
+00:08:17,530 --> 00:08:32,250
+per second يعني خلنا أنا أكتب ألخص المثلة عندي
+
+68
+00:08:32,250 --> 00:08:35,090
+A
+
+69
+00:08:38,580 --> 00:08:42,480
+و B و
+
+70
+00:08:42,480 --> 00:08:48,900
+D Poly
+
+71
+00:08:48,900 --> 00:08:52,940
+D is attached to a color which is pulled down at 3
+
+72
+00:08:52,940 --> 00:08:59,020
+meters per second سحبنا D لتحت مانت
+
+73
+00:08:59,020 --> 00:09:04,380
+اوش لازم اعرف نظام الحدثية عنده صح هي ال reference
+
+74
+00:09:07,460 --> 00:09:11,360
+هي عندي هذه XA
+
+75
+00:09:11,360 --> 00:09:15,980
+هذه
+
+76
+00:09:15,980 --> 00:09:31,660
+XD وهذه
+
+77
+00:09:31,660 --> 00:09:32,420
+XB
+
+78
+00:09:37,340 --> 00:09:48,860
+محكي ال D سحبها لتحت بسرعة منتظمة يعني VD ايش
+
+79
+00:09:48,860 --> 00:09:56,140
+بالساوية تلاتة سانتي في الثانية و AD ايش بالساوية
+
+80
+00:09:56,140 --> 00:10:03,300
+Zero و
+
+81
+00:10:03,300 --> 00:10:05,580
+لتحت عندي موجة بنا صح
+
+82
+00:10:08,440 --> 00:10:15,720
+الـ time equals zero بداية الحركة color
+
+83
+00:10:15,720 --> 00:10:20,020
+a starts
+
+84
+00:10:20,020 --> 00:10:28,280
+moving down from k with constant acceleration and
+
+85
+00:10:28,280 --> 00:10:31,040
+zero initial velocity يعني هتكون
+
+86
+00:10:38,880 --> 00:10:49,560
+بساوة Zero و AA بساوة Constant ثابت مش معروف يعني
+
+87
+00:10:49,560 --> 00:10:58,900
+صح Knowing
+
+88
+00:10:58,900 --> 00:11:04,800
+that the velocity of color A is twelve centimeters
+
+89
+00:11:04,800 --> 00:11:08,240
+per second as it passes L
+
+90
+00:11:09,830 --> 00:11:13,210
+لما ال a وصلت ل كانت سرعتها اتناشر سانت من ثانية
+
+91
+00:11:13,210 --> 00:11:17,550
+يعني va دعنا
+
+92
+00:11:17,550 --> 00:11:28,890
+نعتبرها L هذه بسوا اتناشر سانت per second طيب
+
+93
+00:11:28,890 --> 00:11:33,210
+هو عند L يعني
+
+94
+00:11:33,210 --> 00:11:38,410
+هتكون Delta XA تمانية سانتة Delta XA
+
+95
+00:11:43,490 --> 00:11:47,850
+بساوية تمانية صمتة
+
+96
+00:11:47,850 --> 00:11:52,810
+determine
+
+97
+00:11:52,810 --> 00:11:56,270
+the change in elevation او التغيير في الارتفاع
+
+98
+00:11:56,270 --> 00:12:02,770
+تغير الارتفاع بيه والسرعة و ال acceleration ل بيه
+
+99
+00:12:02,770 --> 00:12:09,550
+لما ال a وصل ل L لما ال a وصل ل L خلينا
+
+100
+00:12:09,550 --> 00:12:16,780
+نبدأ في a تشوف ايه المعروف عنهاإيه بتحرك بدأ من
+
+101
+00:12:16,780 --> 00:12:21,280
+السكون بسرعة بتدائية سفر وبتحرك ب constant
+
+102
+00:12:21,280 --> 00:12:25,440
+acceleration وسرعته في نهاية عن نقطة أقل إتناشر
+
+103
+00:12:25,440 --> 00:12:28,160
+سانت متر ومشي في المسافة تمان ساعة تمان ساعة معروف
+
+104
+00:12:28,160 --> 00:12:33,180
+سرعة اتدائية ومعروف المسافة ومعروف السرعة النهائية
+
+105
+00:12:33,180 --> 00:12:41,000
+ال acceleration اللي هنحكي VA تربيع
+
+106
+00:12:42,340 --> 00:12:54,640
+بسوا VA ند تربيع زاد اتنين AA Delta X A صح؟ انا
+
+107
+00:12:54,640 --> 00:13:03,360
+هكون اتناش تربيع بسوا صفر زاد اتنين AA في Delta X
+
+108
+00:13:03,360 --> 00:13:06,920
+تمانية يعني AA
+
+109
+00:13:33,450 --> 00:13:38,740
+معناته الحركة Aمعرفة بشكل كامل انا عارف ال
+
+110
+00:13:38,740 --> 00:13:42,180
+displacement بتاعتها و ال velocity و ال
+
+111
+00:13:42,180 --> 00:13:47,720
+acceleration و
+
+112
+00:13:47,720 --> 00:13:54,680
+D باعرف ان انت تمشي بسرعة منتظمة و ال acceleration
+
+113
+00:13:54,680 --> 00:14:01,600
+بتاعتها zero و انا بدي الحركة بتاعت بيه المعنى ان
+
+114
+00:14:01,600 --> 00:14:08,960
+انت بتحاول اوجد علاقةلأن حركة a و b و d مرتبطة
+
+115
+00:14:08,960 --> 00:14:20,200
+بدون علاقة بينهم الواحد الاتنين التلاتة الاربع
+
+116
+00:14:20,200 --> 00:14:33,750
+هكون عنده الواحدزاد L2 زاد L3 زاد L4 بالساعة
+
+117
+00:14:33,750 --> 00:14:37,970
+constant L1
+
+118
+00:14:37,970 --> 00:14:43,350
+XA
+
+119
+00:14:43,350 --> 00:14:51,370
+L2
+
+120
+00:14:51,370 --> 00:15:02,990
+XD و L3 XDزاد اكس دي زاد اكس بي زاد اكس دي زاد اكس
+
+121
+00:15:02,990 --> 00:15:08,790
+بي زاد اكس بي زاد اكس دي زاد اكس بي زاد اكس بي زاد
+
+122
+00:15:08,790 --> 00:15:12,830
+اكس دي زاد اكس بي زاد اكس بي زاد اكس دي زاد اكس بي
+
+123
+00:15:12,830 --> 00:15:23,230
+زاد اكس بي زاد اكس دي زاد اكس بي زاد اكس بي زاد
+
+124
+00:15:23,230 --> 00:15:23,290
+اكس دي زاد اكس بي زاد اكس بي زاد اكس دي زاد اكس بي
+
+125
+00:15:23,290 --> 00:15:23,290
+زاد اكس بي زاد اكس بي زاد اكس بي زاد اكس بي زاد
+
+126
+00:15:23,290 --> 00:15:23,290
+اكس بي زاد اكس بي زاد اكس بي زاد اكس بي زاد اكس بي
+
+127
+00:15:23,290 --> 00:15:41,880
+زاد اكس بييعني XA زاد XB زاد 2XD هيساوي XA نض زاد
+
+128
+00:15:41,880 --> 00:15:51,360
+XB نض زاد 2XD نض بجيبه على الجهة التانية
+
+129
+00:15:56,340 --> 00:16:06,040
+دلتا XA زائد اتنين زائد دلتا XB
+
+130
+00:16:06,040 --> 00:16:19,740
+زائد اتنين زائد دلتا XD بالساوية السفر دكتور
+
+131
+00:16:19,740 --> 00:16:22,300
+حميد كيف عشان XA نقول دالي و XB نقول اتنين
+
+132
+00:16:28,540 --> 00:16:32,080
+ما انا بحكيلك ان هذا constant في اي لحظة في الزمن
+
+133
+00:16:32,080 --> 00:16:36,660
+بغض النظر عن قيمتها يعني هتكون XA واحد زائد يعني
+
+134
+00:16:36,660 --> 00:16:41,980
+في لحظة واحد كان زمن واحد XA واحد زائد XB واحد
+
+135
+00:16:41,980 --> 00:16:48,760
+زائد اتنين XD واحد بيساوي XA اتنين زائد XB اتنين
+
+136
+00:16:48,760 --> 00:16:54,500
+زائد XD اتنين XD اتنين وبرضه بتساوي عن تلاتة عن
+
+137
+00:16:54,500 --> 00:16:59,110
+أربعة عن خمسة عن ستةيعني اذا غيرت واحد لازم التنين
+
+138
+00:16:59,110 --> 00:17:03,070
+يتغيروا عشان يبقى القيمة المجموعة ياش constant
+
+139
+00:17:03,070 --> 00:17:08,070
+فانا خدت بيه دي البداية هاي البداية و هاي النهاية
+
+140
+00:17:08,070 --> 00:17:14,510
+عشان احصل معادة دلتا XA زي دلتا XB زي دلتا XD
+
+141
+00:17:14,510 --> 00:17:19,330
+بيستوعبوا constant دلتا XA كام بيستوعبوا تمانية
+
+142
+00:17:21,570 --> 00:17:27,490
+دلتا XA دلتا XB ودلتا XD مش معروفين عندي صح؟ يعني
+
+143
+00:17:27,490 --> 00:17:40,270
+هكون الدلتا XB زاد اتنين دلتا XD بالساوية سالب
+
+144
+00:17:40,270 --> 00:17:47,710
+تمانية هاي المعادلة ياش خلنا نحكي هادي واحد وهادي
+
+145
+00:17:47,710 --> 00:17:49,830
+ياش اتنين
+
+146
+00:17:52,200 --> 00:17:56,860
+الآخر خلّيني اشتق واحد بالنسبة للزمن اشتق المعادلة
+
+147
+00:17:56,860 --> 00:18:05,380
+واحد بالنسبة للزمن السيما دي ايش VA زاد
+
+148
+00:18:05,380 --> 00:18:08,900
+VB
+
+149
+00:18:08,900 --> 00:18:12,400
+زاد
+
+150
+00:18:12,400 --> 00:18:19,060
+اتنين VD بالسوء ايه؟ صفر
+
+151
+00:18:22,310 --> 00:18:30,590
+هذه معادلة تلاتة نحكي طيب لأ مهو ال VA Initially
+
+152
+00:18:30,590 --> 00:18:36,210
+Initially Initially
+
+153
+00:18:36,210 --> 00:18:40,170
+نحكي at time
+
+154
+00:18:42,220 --> 00:18:55,360
+equal zero كانت VA ند ايش يستوي؟ Zero و VD ند ماهي
+
+155
+00:18:55,360 --> 00:19:00,380
+بيستوي VD ماهي constant بيستوي تلاتة صنط per
+
+156
+00:19:00,380 --> 00:19:09,340
+second المعنية المعوض هنا هيكون دي Zero زاد
+
+157
+00:19:09,340 --> 00:19:11,360
+VB ند
+
+158
+00:19:14,330 --> 00:19:24,810
+زائد اتنين في تلاتة ساوة زيرو معناته VpNode سالب
+
+159
+00:19:24,810 --> 00:19:34,070
+ستة سنتمتر فرصة كده هتكون طالعة لأعلى طيب
+
+160
+00:19:34,070 --> 00:19:40,810
+هذه معادلة ياش تلاتة اشتقني كم مرة بالنسبة للزمن
+
+161
+00:19:47,370 --> 00:19:56,970
+أو خليني لأ خليني بالمرة ات .. اتقل ايش كان ال دي؟
+
+162
+00:19:56,970 --> 00:20:02,030
+VA بالثاوية اتناشر
+
+163
+00:20:02,030 --> 00:20:12,150
+سانتي و ايش كانت VD؟ تلاتة سانتي ال second بنعود
+
+164
+00:20:12,150 --> 00:20:16,470
+في المعادلة هذه اللي هي اتناشر
+
+165
+00:20:19,000 --> 00:20:23,800
+زائد VB زائد
+
+166
+00:20:23,800 --> 00:20:33,280
+اتنين في تلاتة بالساوي صفر صح؟معناته VB عند قلش
+
+167
+00:20:33,280 --> 00:20:37,820
+هتساوي اتناش
+
+168
+00:20:37,820 --> 00:20:43,260
+سالب تمانتاش صمتي per second
+
+169
+00:20:49,370 --> 00:20:53,710
+خلّيني اشتغل الفلسطين بالنسبة لك الوقت هسيب عندي ا
+
+170
+00:20:53,710 --> 00:20:58,330
+ا زاد
+
+171
+00:20:58,330 --> 00:21:10,130
+ا بي زاد اتنين ا دي بالساوة صفر احنا عارفين ا دي
+
+172
+00:21:10,130 --> 00:21:17,310
+ايش الساوية Zero Zero معناته ا
+
+173
+00:21:17,310 --> 00:21:26,020
+ا اكتر من قمةهاحسبناها تسعة زائد a b اللي احنا مش
+
+174
+00:21:26,020 --> 00:21:37,160
+عارفينها زائد صفر بتسوا صفر معناته a b بتسوا
+
+175
+00:21:37,160 --> 00:21:42,940
+سالب تسعة centimeter لكل second ترجع هذه a b
+
+176
+00:21:53,010 --> 00:21:58,850
+الان اعرف ده ال بي الصراع البتدائية و الصراع
+
+177
+00:21:58,850 --> 00:22:06,710
+النهائية و ال acceleration اذا انا بعرف الصراع
+
+178
+00:22:06,710 --> 00:22:09,950
+البتدائية و بعرف الصراع النهائية و بعرف ال
+
+179
+00:22:09,950 --> 00:22:14,810
+acceleration ممكن احسباش delta X يعني ده اجهزة VB
+
+180
+00:22:14,810 --> 00:22:26,710
+تربية بتساوي VB node تربيةزاد اتنين AB في Delta X
+
+181
+00:22:26,710 --> 00:22:41,070
+بي صح VB كانت ناقص تمانتاش تربيع بتساوي VB node
+
+182
+00:22:41,070 --> 00:22:44,210
+سالب
+
+183
+00:22:44,210 --> 00:22:55,030
+ستة تربيع زاد اتنينA B سالب تسعة
+
+184
+00:22:55,030 --> 00:23:04,530
+في سالب تسعة في Delta X B يعني هتكون تمانتاش ماقص
+
+185
+00:23:04,530 --> 00:23:07,950
+ستة اتناش اتناش واربع عشرين مية واربع واربعين في
+
+186
+00:23:07,950 --> 00:23:10,890
+اتنين واتنين واتمان واتمانين بيطلع هذا الرقم على
+
+187
+00:23:10,890 --> 00:23:16,310
+اتنين مية واربع واربعين على تلاتة ستة وتلاتين على
+
+188
+00:23:16,310 --> 00:23:28,620
+تلاتة اكماتناش تطلع دلت اكس بي سالب
+
+189
+00:23:28,620 --> 00:23:32,540
+اللي
+
+190
+00:23:32,540 --> 00:23:37,880
+هو اتناش حكيت انا اتأكدوا
+
+191
+00:23:37,880 --> 00:23:41,660
+الرقم صح دلت اكس بي
+
+192
+00:23:45,670 --> 00:23:51,250
+طب عمتاش ناقص ستة اتناش اتناش في اربع و عشرين على
+
+193
+00:23:51,250 --> 00:23:58,670
+اتنين اتناش اتناش في اتناش يعني يعني هيكون على
+
+194
+00:23:58,670 --> 00:24:08,230
+التسعة ستاش مظبوط
+
+195
+00:24:08,230 --> 00:24:11,270
+تاكد من الرقم الله يعني
+
+196
+00:24:14,860 --> 00:24:22,740
+هي 18 تربيع ناقص 6 تربيع على
+
+197
+00:24:22,740 --> 00:24:29,980
+2 على 9 طيب
+
+198
+00:24:29,980 --> 00:24:36,980
+معناته صح 16 سنتة Delta XB طيب معناته B تم تقريب
+
+199
+00:24:36,980 --> 00:24:38,560
+حركتها بشكل كامل
+
+200
+00:24:40,880 --> 00:24:48,520
+D هو أساسا مطلوب بس بيه بس لو بدنا نوجدها هو أساسا
+
+201
+00:24:48,520 --> 00:24:54,740
+بتحرك بسرعة منتظمة صح يعني هتكون او ممكن اعوض هنا
+
+202
+00:24:54,740 --> 00:25:04,380
+كمان انا عندي هنا Delta XB اللي هي كم ناقص ستاش
+
+203
+00:25:04,380 --> 00:25:17,470
+زائد اتنين Delta XDبتساوي ناقص تمانية يعني delta
+
+204
+00:25:17,470 --> 00:25:24,970
+XBD هتكون ستاش ناقص تمانية تمانية على اتنين اربعة
+
+205
+00:25:32,110 --> 00:25:42,950
+في اي سؤال لحظة
+
+206
+00:25:42,950 --> 00:25:47,650
+في اللي بيحكي صح اللي
+
+207
+00:25:47,650 --> 00:25:52,450
+احنا حسبنا اللي حسبنا ال VA و ال VB هذا لا يعني ال
+
+208
+00:25:52,450 --> 00:25:56,290
+acceleration بتاعة B constant
+
+209
+00:26:00,430 --> 00:26:04,910
+لأن انا من المعادلة هذه انا
+
+210
+00:26:04,910 --> 00:26:08,950
+طبعا
+
+211
+00:26:08,950 --> 00:26:17,930
+انا عملت فرضية فرضية انه تطلع المعادلة هذه ال a d
+
+212
+00:26:17,930 --> 00:26:23,730
+بساوة صفر مانت حساب فاندي a a
+
+213
+00:26:27,930 --> 00:26:39,970
+زاد a b بالساوية اياش صفر a
+
+214
+00:26:39,970 --> 00:26:47,890
+اشملها constant معناته a b هتكون constant هتعكسها
+
+215
+00:26:47,890 --> 00:26:52,870
+فمعناته هتبقى ثالثة يعني هي تتمد فقط a b على ال
+
+216
+00:26:52,870 --> 00:26:58,540
+isolation بتاعتلو كان a دي الها acceleration كان
+
+217
+00:26:58,540 --> 00:27:04,740
+ولا مش صحيح لو ال a دي الها قيمة مش صحيح بيكون بس
+
+218
+00:27:04,740 --> 00:27:08,000
+لإن ال acceleration بتاعة d صفر صارت acceleration
+
+219
+00:27:08,000 --> 00:27:10,140
+بتاعة b مرتبط بالacceleration بتاعة a وال a إيش
+
+220
+00:27:10,140 --> 00:27:17,040
+constant بس هذه بعكسها بس الاختلاف للاتجاه عشان
+
+221
+00:27:17,040 --> 00:27:24,060
+هيك اللي بيكون الحل صح زي هيك طيب أسئلة تانية
+
+222
+00:27:33,280 --> 00:27:38,860
+السؤال .. السؤال مهم كتير يعني في الحالة ده بتكون
+
+223
+00:27:38,860 --> 00:27:46,960
+صح ال a,b constant لكن حالة تانية مش بالضرورة طيب
+
+224
+00:27:46,960 --> 00:27:54,260
+نحكي
+
+225
+00:27:54,260 --> 00:27:56,940
+عن graphical solution of rectilinear motion
+
+226
+00:28:19,970 --> 00:28:31,430
+انا في حالات ال
+
+227
+00:28:31,430 --> 00:28:33,570
+graphical solution انت هي ال graphical بترسم
+
+228
+00:28:33,570 --> 00:28:36,670
+المهندس برسم دايما المهندس اللي بيعرفش يعمل
+
+229
+00:28:36,670 --> 00:28:41,290
+sketching بيعرفش يعمل graphing مش المهندسرقم واحد
+
+230
+00:28:41,290 --> 00:28:45,110
+لازم ال sketching و لازم ال graphing ال graphing
+
+231
+00:28:45,110 --> 00:28:50,190
+بيطيلك عمق اكتر تفهم المثلة و بتشوف الصورة الكلية
+
+232
+00:28:50,190 --> 00:28:52,810
+بس تطلع الشكل بتشوف كل الصورة على طول الفترة
+
+233
+00:28:52,810 --> 00:29:01,430
+الزمنية الان ممكن نبدأ من الإزاحة ان علاقة الإزاحة
+
+234
+00:29:01,430 --> 00:29:05,650
+مع الزمن معروفة مظبوط مانت بوجي الفلس وال
+
+235
+00:29:05,650 --> 00:29:10,860
+acceleration خلال الإياشالاشتقاق صح يعني هتكون ال
+
+236
+00:29:10,860 --> 00:29:18,980
+VD X Body T وال A بالساوية DV Body T انتوا ازاي ما
+
+237
+00:29:18,980 --> 00:29:24,980
+انتوا شايفين يعني عندنا ال displacement is a
+
+238
+00:29:24,980 --> 00:29:29,380
+function of
+
+239
+00:29:29,380 --> 00:29:39,440
+T عن time T واحد كانت قيمة الإزاحة Xيعني time T1
+
+240
+00:29:39,440 --> 00:29:44,460
+السرعة ايش هتكون ال slope صح ال slope اللحظة في
+
+241
+00:29:44,460 --> 00:29:49,760
+الأول هى يعني ال أول slope ايش معله Zero بدأ سرعة
+
+242
+00:29:49,760 --> 00:29:53,980
+من ايش؟ من Zero و كل ما ال slope بزيد بزيد بزيد
+
+243
+00:29:53,980 --> 00:29:59,240
+بزيد بزيد واضح انه ايش معله السرعة ايش بتزيد ال
+
+244
+00:29:59,240 --> 00:30:01,880
+acceleration هي ال derivative لإيش؟ لل velocity
+
+245
+00:30:01,880 --> 00:30:06,840
+اللحظة عند ال zero فى قيمة ال slope صح مابدأش من
+
+246
+00:30:06,840 --> 00:30:14,120
+Zeroالسلوب شماله بدأ maximum و كل ما له بقل صح؟
+
+247
+00:30:14,120 --> 00:30:20,840
+معناته ال acceleration شمالها بتقل لأن
+
+248
+00:30:20,840 --> 00:30:24,620
+الحالة التانية انه بيكون العكس أنا مقعد عندي ال
+
+249
+00:30:24,620 --> 00:30:30,080
+acceleration كدالة في الزمن و برجع جوا بحس بالسرعة
+
+250
+00:30:30,080 --> 00:30:36,720
+و بحس يعني من خلال التكامل يعنيعندى مثلا في ال
+
+251
+00:30:36,720 --> 00:30:38,960
+curve الأولى اللى عندى ال acceleration is given as
+
+252
+00:30:38,960 --> 00:30:44,800
+a function of time هاي الدلة مع الزمن معناته انا
+
+253
+00:30:44,800 --> 00:30:49,440
+عارف ال time T واحد قيمة ال acceleration و ال time
+
+254
+00:30:49,440 --> 00:30:54,400
+T اتنين acceleration معروفة الان احنا بنعرف ال
+
+255
+00:30:54,400 --> 00:31:01,420
+acceleration بيستوي DV by DT معناته DV بيستوي A في
+
+256
+00:31:01,420 --> 00:31:07,580
+DT معناته اعمل تكامل ل DVتكامل ال DV ايش بيستوى؟
+
+257
+00:31:07,580 --> 00:31:15,820
+تكامل ال A DT معناته V2 تكامل ال DV اللي هي V2
+
+258
+00:31:15,820 --> 00:31:24,860
+minus V1 هستوى تكامل ال A DT من T1 ل T2 معناته
+
+259
+00:31:24,860 --> 00:31:29,400
+بتبثل معناته V2
+
+260
+00:31:29,400 --> 00:31:40,040
+هي V1 وهي V2الـ V2 ناقص V1 بالسواء المساحة تحت
+
+261
+00:31:40,040 --> 00:31:46,880
+الملحنة هذه المساحة اللي هي هذه الطول هذا هو
+
+262
+00:31:46,880 --> 00:31:57,040
+المساحة هذه يعني V2 بالسواء V1 هذه القيمة زاد
+
+263
+00:31:57,040 --> 00:32:02,020
+المساحة هذهنفس الشيء صارت معروفة عن الـ Time عن T
+
+264
+00:32:02,020 --> 00:32:06,660
+واحد و V واحد معروفة فعن T اتنين و V اتنين معروفة
+
+265
+00:32:06,660 --> 00:32:14,000
+احنا نعرف ان V بساوية DX على DT يعني DX بساوية VDT
+
+266
+00:32:14,000 --> 00:32:19,080
+معناه تتكامل DX اللي هي X اتنين ماقص X واحد بساوية
+
+267
+00:32:19,080 --> 00:32:23,620
+تكامل VDT من T واحد ل T اتنين تكامل VDT هي المساحة
+
+268
+00:32:23,620 --> 00:32:29,600
+تحت ملحانة الصراع اللي هي هذه المساحةبتمثل الطول
+
+269
+00:32:29,600 --> 00:32:37,160
+هذا x2-x1 يعني x2 بيستوى x عند واحد زائد المساحة
+
+270
+00:32:37,160 --> 00:32:44,200
+هذه اللي هي التكامن المحاضرة
+
+271
+00:32:44,200 --> 00:32:52,720
+الجاي هنحل المثال على ال graphical solution وهذا
+
+272
+00:32:52,720 --> 00:32:59,080
+حلو مثال على Adams برنامج Adamsوعمل plot من Adams
+
+273
+00:32:59,080 --> 00:33:05,940
+على ال acceleration و ال blast و ال time مع الزمن
+
+274
+00:33:05,940 --> 00:33:10,260
+تاكلوا
+
+275
+00:33:10,260 --> 00:33:10,580
+عافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/9lRX6ArI7zA_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/9lRX6ArI7zA_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..8804575000e65653d8e6857c8fb2a594198b0314
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/9lRX6ArI7zA_postprocess.srt
@@ -0,0 +1,1284 @@
+1
+00:00:05,250 --> 00:00:08,290
+بسم الله الرحمن الرحيم السلام عليكم و رحمة الله و
+
+2
+00:00:08,290 --> 00:00:13,270
+بركاته هنكمل في مادة ال dynamica الجزء الأول كان
+
+3
+00:00:13,270 --> 00:00:18,390
+من الفصل اللي هو dynamics of particles غطينا فيها
+
+4
+00:00:18,390 --> 00:00:22,270
+kinematics of particles, kinetics of particles,
+
+5
+00:00:22,870 --> 00:00:26,490
+energy and momentum methods chapter التلت شبهات
+
+6
+00:00:26,490 --> 00:00:30,190
+الجاي هنغطي dynamics of rigid bodiesهنغطي ال
+
+7
+00:00:30,190 --> 00:00:35,950
+kinematics of rigid bodies و ال energy and
+
+8
+00:00:35,950 --> 00:00:41,150
+momentum methods for rigid bodies الان
+
+9
+00:00:41,150 --> 00:00:46,170
+ال kinematics of rigid bodies يعني بنحسب العلاقة
+
+10
+00:00:46,170 --> 00:00:52,890
+أو بنجيه علاقة بين الزمن و ال position و الصراع و
+
+11
+00:00:52,890 --> 00:00:53,490
+ال acceleration
+
+12
+00:00:56,410 --> 00:01:02,150
+بدون تطرق للمسبب، يعني احنا نحسب الصراعات .. يعني
+
+13
+00:01:02,150 --> 00:01:05,250
+بنجيب علاقة بين ال time و ال position plus و ال
+
+14
+00:01:05,250 --> 00:01:08,010
+acceleration لل particles اللي بتكون منها ال rigid
+
+15
+00:01:08,010 --> 00:01:12,710
+body، ما فيها مركز تقالو أو اي نقطة على ال rigid
+
+16
+00:01:12,710 --> 00:01:16,430
+body، هذه ال kinematics، بدون ما احكي عن forces
+
+17
+00:01:20,040 --> 00:01:24,980
+الان ممكن اصنف الحركات .. الأنواع الحركة اللى ممكن
+
+18
+00:01:24,980 --> 00:01:29,900
+يعملها rigid body طبعا ال rigid body هو جسم مكون
+
+19
+00:01:29,900 --> 00:01:33,480
+عادلانها من ال particles المسافة بين particle و
+
+20
+00:01:33,480 --> 00:01:36,880
+particle ثابتة ماتتغيرش المسافة بين particle و
+
+21
+00:01:36,880 --> 00:01:41,920
+particle ثابتة عشان انا بسميه rigid جاسع يعني
+
+22
+00:01:41,920 --> 00:01:47,490
+مافيش deformation نتيجة ال forces هذه الفرضيةالان
+
+23
+00:01:47,490 --> 00:01:52,130
+ممكن الجسم ال rigid body تحرك حركة انتقالية
+
+24
+00:01:52,130 --> 00:01:59,250
+translation سواء حركة على مسار مستقيم او على مسار
+
+25
+00:01:59,250 --> 00:02:04,850
+منحني او يكون بتاعته pure rotation حوالي المحور
+
+26
+00:02:04,850 --> 00:02:11,240
+ثابت يكون دوران حوالي المحور ثابتأو general plan
+
+27
+00:02:11,240 --> 00:02:14,580
+motion يعني في حركته فيها انتقال و فيها دوران يعني
+
+28
+00:02:14,580 --> 00:02:22,040
+فيها دمج بين الحركتين دوران مع .. مع انتقال أو ال
+
+29
+00:02:22,040 --> 00:02:26,400
+motion about a fixed point fixed point يعني بكتير
+
+30
+00:02:26,400 --> 00:02:33,850
+زي ال .. المساحة زي ال .. المراتعة السيارةالحركة
+
+31
+00:02:33,850 --> 00:02:39,810
+بيصيح حوالين سفير هبسمها motion about a fixed
+
+32
+00:02:39,810 --> 00:02:43,810
+point او general motion يعني في انتقال بالاتجاه ال
+
+33
+00:02:43,810 --> 00:02:48,850
+X و ال Y و ال Z و في دوران حوالين ال X و في دوران
+
+34
+00:02:48,850 --> 00:02:52,890
+حوالين ال Y و في دوران حوالين ال Z هذه الحركات
+
+35
+00:02:52,890 --> 00:02:57,190
+اللي ممكن تتحركها rigid body هنبدأ في ال
+
+36
+00:02:57,190 --> 00:02:57,770
+translation
+
+37
+00:03:06,250 --> 00:03:12,190
+الان الجسم بيكون في حالة انتقال في ال rotation إذا
+
+38
+00:03:12,190 --> 00:03:17,270
+كان اتجاه خط مستقيم جوا الجسم يعني هي عندي rigid
+
+39
+00:03:17,270 --> 00:03:21,950
+body فاندي خط مستقيم مواصل بين نقطة a و b إذا بضل
+
+40
+00:03:21,950 --> 00:03:28,850
+اتجاه ال a b يعني بس و أنا بمشي على خط مستقيم أو
+
+41
+00:03:28,850 --> 00:03:36,910
+بمشي علىcurve اذا ضلت ال a b بوزل a prime b prime
+
+42
+00:03:36,910 --> 00:03:41,590
+بساول وزل a double prime b prime بضلوا متوازية
+
+43
+00:03:41,590 --> 00:03:48,850
+معناته بحكي انه ال rigid body بتحرك حركة انتقالية
+
+44
+00:03:48,850 --> 00:03:52,010
+معناته
+
+45
+00:03:52,010 --> 00:03:55,150
+all particles forming rigid body move in parallel
+
+46
+00:03:55,150 --> 00:03:56,530
+lines يعني
+
+47
+00:03:59,150 --> 00:04:05,990
+او parallel curves يعني لو هذا بحركة انتقالية هذا
+
+48
+00:04:05,990 --> 00:04:12,050
+همشي على curve موها zero for any two particles اذا
+
+49
+00:04:12,050 --> 00:04:15,350
+عندك particle A و B على ال rigid body اللي احنا
+
+50
+00:04:15,350 --> 00:04:19,950
+شايفينه فيه عندك محاور X Y Z موقع ال particle A
+
+51
+00:04:19,950 --> 00:04:24,090
+بالنسبة لل origin RA موقع ال particle B بالنسبة لل
+
+52
+00:04:24,090 --> 00:04:31,680
+origin RBموقع B بالنسبة ل A R B A يعني ك vector ال
+
+53
+00:04:31,680 --> 00:04:40,360
+R B بيستوى ال R A زاد R B بالنسبة ل A لأن إذا بشتق
+
+54
+00:04:40,360 --> 00:04:45,240
+بعمل اشتقاق حكون
+
+55
+00:04:45,240 --> 00:04:51,120
+دي R B Dot بيستوى R A Dot زاد R B A Dot لأن
+
+56
+00:04:51,120 --> 00:04:58,860
+هتلاحظوا احنا حكيناالمسافة بين B و A ثابتة من حيث
+
+57
+00:04:58,860 --> 00:05:04,840
+القيمة و بيضله اتجاهه
+
+58
+00:05:04,840 --> 00:05:08,260
+بتتغيرش يعني الاتجاه بتتغيرش و القيمة بتتغيرش
+
+59
+00:05:08,260 --> 00:05:15,380
+معناته ال differential تعوش هيكون صفر مظبوط معناته
+
+60
+00:05:15,380 --> 00:05:21,200
+ال RBA dot بالساوية سفر ال RBA dot هي سرعة ال
+
+61
+00:05:21,200 --> 00:05:27,020
+particle Bو الـ ra dot هي سرعة ال particle ايه
+
+62
+00:05:27,020 --> 00:05:32,180
+معناته اذا انا عندى rigid body in pure translation
+
+63
+00:05:32,180 --> 00:05:38,060
+كل ال particles بتحركوا بنفس السرعة نعمل
+
+64
+00:05:38,060 --> 00:05:39,880
+differentiation كمان مرة
+
+65
+00:05:43,570 --> 00:05:47,010
+هتكون a b particle .. ال acceleration ل particle b
+
+66
+00:05:47,010 --> 00:05:50,090
+besides ال acceleration ل particle a معناته all
+
+67
+00:05:50,090 --> 00:05:53,390
+particles have the same acceleration معناته إذا
+
+68
+00:05:53,390 --> 00:05:56,150
+عندى ال rigid body بتحرك in a pure translation
+
+69
+00:05:56,150 --> 00:06:00,170
+معناته بتكون عندى كل ال particles اللي لها نفس
+
+70
+00:06:00,170 --> 00:06:03,970
+الصراحة و كل ال particles المكون ل rigid body اللي
+
+71
+00:06:03,970 --> 00:06:08,210
+لها نفس ال acceleration هذه
+
+72
+00:06:08,210 --> 00:06:12,280
+النوع الأول من الحركةالنقطة من الحركة اللي هو
+
+73
+00:06:12,280 --> 00:06:18,580
+rotation about a fixed axis عندي
+
+74
+00:06:18,580 --> 00:06:25,440
+هاي rigid body فعندي المحاور هاي ال X axis هاي ال
+
+75
+00:06:25,440 --> 00:06:32,780
+Y axis و هاي ال Z axis و ال body هذا في ال
+
+76
+00:06:32,780 --> 00:06:37,960
+rotation حوالين Z axis pure rotation حوالين Z axis
+
+77
+00:06:39,140 --> 00:06:46,680
+معناته لو أخدت particle P ال P هداش هسوه دائرة
+
+78
+00:06:46,680 --> 00:06:53,120
+هسوه دائرة لأن موقع ال particle P بالنسبة لمركز
+
+79
+00:06:53,120 --> 00:06:58,340
+الاحتثياتي اللي هو ايش ال vector R ال vector R
+
+80
+00:06:58,340 --> 00:07:04,000
+والزوابب بين ال vector R هو ايه محور دوران اللي هو
+
+81
+00:07:04,000 --> 00:07:06,360
+ال Z axis اللي هي في
+
+82
+00:07:10,410 --> 00:07:16,150
+الان ال particle P بدور حوالين دائرة معناه تسرعة
+
+83
+00:07:16,150 --> 00:07:21,330
+النقطة P هتكون tangent للمصار عند P صح؟ هتكون
+
+84
+00:07:21,330 --> 00:07:26,450
+tangent للماس معناه تكون عمودي على المستوى المكون
+
+85
+00:07:26,450 --> 00:07:32,910
+من R والسرعة
+
+86
+00:07:32,910 --> 00:07:37,150
+الزاوية الان ال V بيستوى DR plus vector V بيستوى
+
+87
+00:07:37,150 --> 00:07:39,330
+DR by DT
+
+88
+00:07:46,170 --> 00:07:53,610
+ماشي عندنا هاي ال X Axis وهاي
+
+89
+00:07:53,610 --> 00:08:03,210
+ال Y Axis وهاي
+
+90
+00:08:03,210 --> 00:08:10,110
+ال Z Axis والجسم يدور حوالين Z Axis لو خدنا
+
+91
+00:08:10,110 --> 00:08:21,550
+particle هنا Pالـ P بدور بيعمل دائرة هذا
+
+92
+00:08:21,550 --> 00:08:30,610
+موقع particle R بيعمل زاوية Phi
+
+93
+00:08:30,610 --> 00:08:34,970
+لو
+
+94
+00:08:34,970 --> 00:08:39,910
+بدى اعمل projection هاي عندي هاي المركز الدائرة
+
+95
+00:08:51,190 --> 00:08:57,530
+هذه عاملة زاوية هذه
+
+96
+00:08:57,530 --> 00:09:02,850
+الزاوية ثتا
+
+97
+00:09:02,850 --> 00:09:06,650
+اذا
+
+98
+00:09:06,650 --> 00:09:12,470
+باخد differential angle دي ثتا يعني هذه هذه
+
+99
+00:09:12,470 --> 00:09:21,790
+الزاوية دي ثتا او دلتا ثتا هذه مش هتكون دلتا اسالـ
+
+100
+00:09:21,790 --> 00:09:27,190
+Delta S بالساوية
+
+101
+00:09:27,190 --> 00:09:34,930
+اللى هو PP في
+
+102
+00:09:34,930 --> 00:09:42,090
+Delta Theta صح ال
+
+103
+00:09:42,090 --> 00:09:47,850
+PP خد المثلث OPP
+
+104
+00:09:47,850 --> 00:09:49,990
+الوطر تعالى المثلث
+
+105
+00:09:54,810 --> 00:10:05,390
+هذه O بي بي هذي R و هذي زي ايش فاي بيعني ال بي بي
+
+106
+00:10:05,390 --> 00:10:08,890
+بالسوء
+
+107
+00:10:08,890 --> 00:10:18,470
+R sin فاي معناته ال Delta S هتكون بالسوء R sin فاي
+
+108
+00:10:18,470 --> 00:10:22,550
+Delta Theta
+
+109
+00:10:26,360 --> 00:10:35,620
+نقسم على delta T على delta T ال V هتكون الساوية
+
+110
+00:10:35,620 --> 00:10:46,460
+limit delta S على delta T as delta T approaches
+
+111
+00:10:46,460 --> 00:10:50,020
+Zero يعني
+
+112
+00:10:50,020 --> 00:10:54,080
+هتكون تساوية DS
+
+113
+00:10:56,840 --> 00:11:09,640
+by dt هتكون so r sin phi في theta dot theta
+
+114
+00:11:09,640 --> 00:11:17,740
+dot بتمثل التغير في ال angle يعني سرعة زاوية يعني
+
+115
+00:11:17,740 --> 00:11:26,440
+هتكون v so r omega sin phi
+
+116
+00:11:31,300 --> 00:11:39,280
+ال V هتكون هاي
+
+117
+00:11:39,280 --> 00:11:44,480
+ال V و
+
+118
+00:11:44,480 --> 00:11:51,520
+ال Omega اتجاهها عموديه على الصفحه يعني هتكون
+
+119
+00:11:51,520 --> 00:11:59,340
+موازيه ل ال Z Axis ال Omega معناه تو ال V عموديه
+
+120
+00:11:59,340 --> 00:12:09,240
+علىالـ R وعلى Omega معناته
+
+121
+00:12:09,240 --> 00:12:19,840
+ال V هتكون تساوي Omega cross R هذي ك vector هذي
+
+122
+00:12:19,840 --> 00:12:23,400
+قيمته اللي هتكون R Omega صين ازاوية بينهم هاي
+
+123
+00:12:23,400 --> 00:12:28,760
+ازاوية هاي R هاي اتجاه Omega ازاوية بينهم هيش five
+
+124
+00:12:30,550 --> 00:12:34,370
+فال V بتكون ال cross في حالة ال rotation حوالين
+
+125
+00:12:34,370 --> 00:12:40,130
+محور ثابت بتكون Omega cross R Omega السرع الزاوية
+
+126
+00:12:40,130 --> 00:12:46,550
+R ال position vector ال Omega طبعا اتجاه الحالة
+
+127
+00:12:46,550 --> 00:12:53,970
+هذه Omega باتجاه ال K او ال Z
+
+128
+00:13:00,200 --> 00:13:06,180
+الان احنا حكينا ال V سواء
+
+129
+00:13:06,180 --> 00:13:14,580
+Omega cross R ال acceleration هتكون بالساوية DV by
+
+130
+00:13:14,580 --> 00:13:26,360
+DT هتكون مشتقة الأول D Omega by DT cross R زائد
+
+131
+00:13:26,360 --> 00:13:38,200
+Omegacross dr by dt يعني هتكون هذه التغيير في
+
+132
+00:13:38,200 --> 00:13:45,000
+السرعة angular acceleration يعني Alpha cross R زاد
+
+133
+00:13:45,000 --> 00:13:55,100
+Omega cross V يعني هتكون Alpha cross R زاد Omega
+
+134
+00:13:55,100 --> 00:14:05,420
+cross V اللي هي عبارة عن إيش؟وميجا كروس ار هذه
+
+135
+00:14:05,420 --> 00:14:15,760
+اللي هي tangential component
+
+136
+00:14:15,760 --> 00:14:21,960
+ال acceleration وهذه normal
+
+137
+00:14:25,210 --> 00:14:30,670
+component of acceleration already
+
+138
+00:14:57,160 --> 00:15:00,660
+طبعا ال .. ال .. هناخد حالة خاصة rotation about a
+
+139
+00:15:00,660 --> 00:15:06,500
+fixed axis 2D لان عندى مبين ال X Y plane ال Z
+
+140
+00:15:06,500 --> 00:15:12,720
+معناته عمودي على الصفحه صح ال particle P الجسم
+
+141
+00:15:12,720 --> 00:15:16,320
+طبعا بدور حول ال Z axis معناته ال particle P بيعمل
+
+142
+00:15:16,320 --> 00:15:22,120
+دائرة معناته سرعة ال particle V هتكون عمودية على
+
+143
+00:15:22,120 --> 00:15:30,410
+ال radius صحهتكون omega cross r هذا ال V ال
+
+144
+00:15:30,410 --> 00:15:34,450
+acceleration هتكون في اندي tangential component
+
+145
+00:15:34,450 --> 00:15:38,690
+اللي هي a tangential alpha cross r و في اندي
+
+146
+00:15:38,690 --> 00:15:42,710
+normal component اللي هي omega cross r اللي هتكون
+
+147
+00:15:42,710 --> 00:15:51,590
+لجوه لان
+
+148
+00:15:51,590 --> 00:15:54,050
+ال احنا حكينا ال omega
+
+149
+00:15:56,840 --> 00:16:03,160
+بسوة دي ثتا على دي تا هذا
+
+150
+00:16:03,160 --> 00:16:04,740
+بال rotation ال omega
+
+151
+00:16:21,580 --> 00:16:30,360
+الـ V مثلا هنا بيستوى مثلا DX بي DT هدفه Linear
+
+152
+00:16:30,360 --> 00:16:33,520
+صح؟
+
+153
+00:16:33,520 --> 00:16:38,140
+Linear Velocity لأن أقدر Velocity Omega بيستوى D
+
+154
+00:16:38,140 --> 00:16:46,240
+Theta بي DT هنا عندي X Linear Displacement ماعندي
+
+155
+00:16:46,240 --> 00:16:59,580
+هنااشعند ال alpha ال acceleration dv by dt يعني ال
+
+156
+00:16:59,580 --> 00:17:06,240
+angle of acceleration d omega by dt
+
+157
+00:17:09,590 --> 00:17:17,490
+وبرضه بتساوي دي أميجا على دي ثيتا في دي ثيتا على
+
+158
+00:17:17,490 --> 00:17:27,010
+دي تي يعني بس أميجا دي أميجا by دي ثيتا وهين برضه
+
+159
+00:17:27,010 --> 00:17:35,130
+ال A بتساوي V by
+
+160
+00:17:35,130 --> 00:17:42,820
+DXيعني في تماثل بالعلاقات بس هذا linear هذا
+
+161
+00:17:42,820 --> 00:17:49,760
+rotation هناخد
+
+162
+00:17:49,760 --> 00:17:54,220
+حالات خاصة عندي uniform rotation يعني rotation
+
+163
+00:17:54,220 --> 00:18:00,540
+بسرعة منتظرة معناته ال alpha شو يستاوي؟ صفر إذا ال
+
+164
+00:18:00,540 --> 00:18:07,380
+alpha بستاوي صفر معناته ال omegaبتكون تساوي
+
+165
+00:18:07,380 --> 00:18:15,320
+constant صح؟ معناته هذهوميجا بيساوي دي ثيتا by دي
+
+166
+00:18:15,320 --> 00:18:23,680
+تي معناته دي ثيتا بيساوي اميجا دي تي دي يعني تجرب
+
+167
+00:18:23,680 --> 00:18:30,820
+من صفر ل تي هي من ثيتا ند لثيتا معناته ثيتا minus
+
+168
+00:18:30,820 --> 00:18:37,080
+ثيتا ند بيساوي اميجا في تي يعني ثيتا بيساوي ثيتا
+
+169
+00:18:37,080 --> 00:18:40,260
+ند زاد اميجا في تي
+
+170
+00:18:44,850 --> 00:18:50,270
+هذه الحالة والحالة التانية rotation with uniform
+
+171
+00:18:50,270 --> 00:18:55,310
+acceleration rotation يعني
+
+172
+00:18:55,310 --> 00:19:00,710
+خلينا هذه نذكر المقابل اللي لها linear كانت X
+
+173
+00:19:03,630 --> 00:19:11,750
+بسوة X NOT زائد V في T الحالة التانية Alpha بسوة
+
+174
+00:19:11,750 --> 00:19:17,430
+constant uniform acceleration بسوة
+
+175
+00:19:17,430 --> 00:19:24,870
+D Omega by DT يعني هيكون D Omega سواء Alpha DT
+
+176
+00:19:24,870 --> 00:19:32,080
+Integral من صفر ل T من Omega NOTلأميجا يعني هتكون
+
+177
+00:19:32,080 --> 00:19:38,160
+عندي أميجا سواء أميجا نود زاد ألفا في T كانت V
+
+178
+00:19:38,160 --> 00:19:45,920
+سواء V نود أو
+
+179
+00:19:45,920 --> 00:19:55,440
+بدي أحكي أن ألفا بالساوية أميجا D أميجا على D ثتا
+
+180
+00:19:55,440 --> 00:20:02,430
+يعني أميجاD Omega بيستوى Alpha D Theta هي من Theta
+
+181
+00:20:02,430 --> 00:20:11,310
+node للثيتا ومن Omega node لعمجة يعني هكون Omega
+
+182
+00:20:11,310 --> 00:20:16,670
+تربيع على اتنين minus Omega node تربيع على اتنين
+
+183
+00:20:16,670 --> 00:20:23,310
+بيستوى Alpha في Theta minus Theta node يعني Omega
+
+184
+00:20:23,310 --> 00:20:31,740
+تربيعبس هو omega node تربيع زي اتنين alpha في
+
+185
+00:20:31,740 --> 00:20:38,540
+theta minus theta node في ال linear V تربيع V node
+
+186
+00:20:38,540 --> 00:20:43,080
+تربيع زي اتنين A في X minus X node
+
+187
+00:20:53,220 --> 00:21:00,320
+حل مثال cable C has a constant acceleration of 9
+
+188
+00:21:00,320 --> 00:21:05,160
+inch per second square and an initial velocity of
+
+189
+00:21:05,160 --> 00:21:11,320
+12 inch per second both directed to the right يعني
+
+190
+00:21:11,320 --> 00:21:17,520
+هحيكون عنداه AC تسعة
+
+191
+00:21:17,520 --> 00:21:17,920
+انش
+
+192
+00:21:20,780 --> 00:21:27,380
+اتجاه اليمين و Vc node 12
+
+193
+00:21:27,380 --> 00:21:37,280
+inch اتجاه اليمين determine
+
+194
+00:21:37,280 --> 00:21:40,660
+the number of revolutions in the pulley in two
+
+195
+00:21:40,660 --> 00:21:41,000
+seconds
+
+196
+00:21:59,100 --> 00:22:05,240
+لأن هم عطيني VC او
+
+197
+00:22:05,240 --> 00:22:09,940
+AC VC
+
+198
+00:22:09,940 --> 00:22:15,540
+node ليه اتناشر انش per second
+
+199
+00:22:30,270 --> 00:22:36,730
+بدو هو number of revolutions in
+
+200
+00:22:36,730 --> 00:22:44,270
+two seconds يعني number of
+
+201
+00:22:44,270 --> 00:22:58,410
+revolutions in two seconds الآن
+
+202
+00:23:03,530 --> 00:23:07,470
+VD شو ساوي؟
+
+203
+00:23:07,470 --> 00:23:21,230
+VD دايما بيساوي VC، صح؟ يعني هتكون VD node بيساوي
+
+204
+00:23:21,230 --> 00:23:22,150
+اتناشر انش
+
+205
+00:23:30,660 --> 00:23:34,300
+و a d tangential انا بحكي على ال drum a d
+
+206
+00:23:34,300 --> 00:23:52,280
+tangential هتكون بتساوي a c بتساوي تسعة انش طالما
+
+207
+00:23:52,280 --> 00:23:55,660
+عرفت انا ال a d على ال drum عندي هنا
+
+208
+00:24:01,160 --> 00:24:11,300
+أي دي تنجينشيل تسعة انش per second squared معناته
+
+209
+00:24:11,300 --> 00:24:16,200
+العجل الزاوية للدرام معناته
+
+210
+00:24:16,200 --> 00:24:26,920
+اللي هي Alpha للدرام هتساوي
+
+211
+00:24:26,920 --> 00:24:28,200
+اي دي تنجينشيل
+
+212
+00:24:30,810 --> 00:24:35,230
+على ال radius على
+
+213
+00:24:35,230 --> 00:24:39,750
+تلاتة يعني
+
+214
+00:24:39,750 --> 00:24:49,330
+هتكون تسعة ع تلاتة تلاتة radian per second square
+
+215
+00:24:49,330 --> 00:24:57,230
+clockwise صح؟ اظهر طيب
+
+216
+00:24:58,650 --> 00:25:03,570
+الانشال ايجدكس اتش لادرام هتكون اوميجا نود هتكون
+
+217
+00:25:03,570 --> 00:25:13,330
+سوى VD نود على تلاتة صح اتناش
+
+218
+00:25:13,330 --> 00:25:22,650
+ع تلاتة هتطلع اربعة radian per second برضه
+
+219
+00:25:22,650 --> 00:25:23,030
+clockwise
+
+220
+00:25:31,940 --> 00:25:36,800
+الان إيش نوع حركة درام؟ uniform, rotation أو .. أو
+
+221
+00:25:36,800 --> 00:25:44,300
+rotation نوع الحركة .. motion of
+
+222
+00:25:44,300 --> 00:25:49,900
+a drum rotation
+
+223
+00:25:49,900 --> 00:25:54,900
+about
+
+224
+00:25:54,900 --> 00:25:56,980
+a
+
+225
+00:26:03,380 --> 00:26:09,820
+with constant alpha
+
+226
+00:26:09,820 --> 00:26:17,300
+angle of acceleration صح؟ المعلومات
+
+227
+00:26:17,300 --> 00:26:25,960
+هتكون عندي ال theta minus theta node سوى
+
+228
+00:26:25,960 --> 00:26:36,220
+omega node في ال Tزاد نص ألفة
+
+229
+00:26:36,220 --> 00:26:47,460
+T تربيع صح؟ اللي هي Delta تيتا Omega
+
+230
+00:26:47,460 --> 00:26:59,680
+نوضي عن T أربعة في ال T اتنين زاد نص في تلاتة في
+
+231
+00:26:59,680 --> 00:27:00,460
+اتنين تربيع
+
+232
+00:27:03,800 --> 00:27:09,240
+يعني هتكون يعني
+
+233
+00:27:09,240 --> 00:27:14,620
+تلاتة في اتنين ستة و تمانية اربعتاش اربعتاش رقياش
+
+234
+00:27:14,620 --> 00:27:22,620
+radians عند
+
+235
+00:27:22,620 --> 00:27:31,560
+ال two pi radians equivalent لكم revolution ل one
+
+236
+00:27:31,560 --> 00:27:32,120
+revolution
+
+237
+00:27:35,640 --> 00:27:42,120
+revolution معناته الاربعتاش ال radians هتكون كم؟
+
+238
+00:27:42,120 --> 00:27:47,580
+معناته هذا هتكون تساوي اربعتاش
+
+239
+00:27:47,580 --> 00:27:57,620
+في واحد على اتنين بيه عشان احولها ل revolutions ها
+
+240
+00:27:57,620 --> 00:27:58,300
+كم تطلع؟
+
+241
+00:28:16,390 --> 00:28:20,650
+تانية كم الرقم؟ اتنين اتنين اتنين اتنين اتنين
+
+242
+00:28:20,650 --> 00:28:21,710
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+243
+00:28:21,710 --> 00:28:23,730
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+244
+00:28:23,730 --> 00:28:30,030
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+245
+00:28:30,030 --> 00:28:31,990
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+246
+00:28:31,990 --> 00:28:35,170
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+247
+00:28:35,170 --> 00:28:44,070
+اتن
+
+248
+00:28:44,150 --> 00:28:47,530
+and it change in position of load B after two
+
+249
+00:28:47,530 --> 00:28:54,250
+second هاي
+
+250
+00:28:54,250 --> 00:29:01,810
+B اللي بقى بعد two second هسير هنا هرتفع
+
+251
+00:29:01,810 --> 00:29:12,790
+مظبوط لإنه هدا هلف ده هيك طيب
+
+252
+00:29:19,050 --> 00:29:28,990
+الصورة بي اللي بتدري أكم كانت VpNode أكم
+
+253
+00:29:28,990 --> 00:29:33,630
+كانت VpNode
+
+254
+00:29:33,630 --> 00:29:40,750
+بس
+
+255
+00:29:40,750 --> 00:29:45,450
+أنا عرفت الصورة الزاوية بالصورة Omega في خمسة صح
+
+256
+00:29:45,450 --> 00:29:47,710
+هذه خمسة
+
+257
+00:29:52,280 --> 00:29:59,500
+اميجا في خمسة يعني
+
+258
+00:29:59,500 --> 00:30:12,680
+هيكون عند الاميجا او اميجا ند اربعة في خمسة عشرين
+
+259
+00:30:12,680 --> 00:30:14,060
+انش per second
+
+260
+00:30:18,380 --> 00:30:27,060
+طيب هذه .. اه
+
+261
+00:30:27,060 --> 00:30:35,000
+.. هسميها نقطة A الاكسلاج هنا ال body بيه AB هتكون
+
+262
+00:30:35,000 --> 00:30:45,120
+سواء AE tangential صح؟ يعني ال AE tangential هتكون
+
+263
+00:30:45,120 --> 00:30:57,350
+خمسةفي الف صح يعني خمسة في تلاتة صح خمستاشر
+
+264
+00:30:57,350 --> 00:31:03,910
+انش طيب
+
+265
+00:31:03,910 --> 00:31:08,930
+نجيب ال omega ال E نه نجيب ال omega ال E بعد اتنين
+
+266
+00:31:08,930 --> 00:31:15,710
+ثانية عشان نجيب P بعد اتنين ثانية هو .. هو معطين
+
+267
+00:31:15,710 --> 00:31:16,390
+ال ..
+
+268
+00:31:19,010 --> 00:31:25,990
+الان احنا جبنا ال omega node بدول ال change in
+
+269
+00:31:25,990 --> 00:31:32,350
+position اللي هو Delta Y Delta Y مش هتساوي VB
+
+270
+00:31:32,350 --> 00:31:47,550
+node في T زائد نص AB في T تربيع يعني هتساوي اللي
+
+271
+00:31:47,550 --> 00:31:56,110
+هي عشرينفى اتنين زياد نص فى
+
+272
+00:31:56,110 --> 00:32:02,650
+اتنين تربية يعنى تلاتين
+
+273
+00:32:02,650 --> 00:32:14,870
+واربعين سبعين انش و
+
+274
+00:32:14,870 --> 00:32:16,310
+VB بعد اتنين ثانية
+
+275
+00:32:25,300 --> 00:32:27,200
+الـ VPNode
+
+276
+00:32:45,560 --> 00:32:49,060
+ممكن احكي اللي انا عرفته Delta Theta Delta Theta
+
+277
+00:32:49,060 --> 00:32:57,580
+عرفته اللي هي اربعتاشر radians صح الارتفاع
+
+278
+00:32:57,580 --> 00:33:05,480
+هيكون اللي هو طول الكمية الحبل اللي هتلف على
+
+279
+00:33:05,480 --> 00:33:13,980
+البكرة صح ممكن احكي دلتا Y برضه صح هو Delta Theta
+
+280
+00:33:16,070 --> 00:33:22,290
+في خمسة صح اللي هي اربعتاش في خمسة اللي هي اكم
+
+281
+00:33:22,290 --> 00:33:25,530
+سبعين
+
+282
+00:33:25,530 --> 00:33:29,030
+انش هذا
+
+283
+00:33:29,030 --> 00:33:37,530
+المطلوب التاني المطلوب
+
+284
+00:33:37,530 --> 00:33:43,770
+التالت acceleration of point D on the rim of the
+
+285
+00:33:43,770 --> 00:33:53,030
+innerالـ T قول زيرو الـ T قول زيرو الـ
+
+286
+00:33:53,030 --> 00:33:57,190
+T قول زيرو الـ T قول زيرو الـ T قول زيرو الـ T قول
+
+287
+00:33:57,190 --> 00:34:01,590
+زيرو الـ
+
+288
+00:34:01,590 --> 00:34:03,230
+T قول زيرو الـ T قول زيرو الـ T قول زيرو الـ T قول
+
+289
+00:34:03,230 --> 00:34:03,430
+زيرو الـ T قول زيرو الـ T قول زيرو الـ T قول زيرو
+
+290
+00:34:03,430 --> 00:34:07,250
+الـ T قول زيرو الـ T قول زيرو الـ T قول زيرو
+
+291
+00:34:07,250 --> 00:34:11,470
+الـ
+
+292
+00:34:11,470 --> 00:34:11,930
+T قول زيرو الـ T قول زيرو
+
+293
+00:34:16,470 --> 00:34:23,250
+وميجا نوت دي اللي هي اربعة تربيع الاراكم تلاتة
+
+294
+00:34:23,250 --> 00:34:31,190
+تلاتة يعني ستاشر تلاتة تمانية واربعين انش per
+
+295
+00:34:31,190 --> 00:34:41,170
+second square المعنى
+
+296
+00:34:41,170 --> 00:34:44,390
+ان انا عندي ال a d tangential
+
+297
+00:34:47,550 --> 00:34:58,430
+تسعة وال ا دي normal تمانية أربعين هد
+
+298
+00:34:58,430 --> 00:35:03,550
+ال
+
+299
+00:35:03,550 --> 00:35:11,950
+a دي normal في البداية معناه
+
+300
+00:35:11,950 --> 00:35:13,170
+تعرّم هتكون
+
+301
+00:35:15,770 --> 00:35:20,150
+هذا اي دي اي
+
+302
+00:35:20,150 --> 00:35:26,850
+دي ند يعني اي دي ند هتكون
+
+303
+00:35:26,850 --> 00:35:34,910
+جزر التربيعي ل اي دي tangential تربيع زاد اي دي
+
+304
+00:35:34,910 --> 00:35:42,870
+normal ند تربيع هتسوى جزر التربيع ل تسعة تربيع
+
+305
+00:36:02,240 --> 00:36:15,860
+كام بتطلع 48 48 الزاوية
+
+306
+00:36:15,860 --> 00:36:26,080
+بيعتها تاني انفرس بالساوية تاني انفرس لل ا دي
+
+307
+00:36:26,080 --> 00:36:27,300
+normal load
+
+308
+00:36:31,540 --> 00:36:40,620
+الـ AD Tangential يعني هكون تاني انفرس لتمانية
+
+309
+00:36:40,620 --> 00:36:50,060
+و أربعين على تسعة تسعة
+
+310
+00:36:50,060 --> 00:37:00,060
+و سبعين معناته
+
+311
+00:37:00,060 --> 00:37:06,490
+AD nodeفي البداية كانت قيمة التمانية و أربعين
+
+312
+00:37:06,490 --> 00:37:15,210
+point تمانية inch لكل second تربيع تعمل معاه
+
+313
+00:37:15,210 --> 00:37:23,230
+الأفقي زاوية
+
+314
+00:37:23,230 --> 00:37:29,570
+تسعة و سبعين point four degrees
+
+315
+00:37:37,770 --> 00:37:46,550
+في اي سؤال؟ كل مثلة دينامية كانت نفس المثلة، كلها
+
+316
+00:37:46,550 --> 00:37:53,830
+نفس المثلة، بس بدك تعمل النموذج، ال model صح
+
+317
+00:37:58,110 --> 00:38:01,950
+و تفسر المسألة صح يعني تفهم ال physics بتاعك صح
+
+318
+00:38:01,950 --> 00:38:05,910
+بتحل المسألة تعمل ال free body diagrams صح تحط
+
+319
+00:38:05,910 --> 00:38:12,710
+اتجاهات صح و .. و تمشي خطوة خطوة ففعليا ال
+
+320
+00:38:12,710 --> 00:38:22,670
+dynamics كلها نفس المسألة طيب في اي سؤال؟ معذرة
+
+321
+00:38:22,670 --> 00:38:24,090
+جهازك كمان اعطيك ولا عرضك؟
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/9lRX6ArI7zA_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/9lRX6ArI7zA_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..df5d48f7ac12e1d5caec350820f02ccee3d66ce5
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/9lRX6ArI7zA_raw.srt
@@ -0,0 +1,1300 @@
+1
+00:00:05,250 --> 00:00:08,290
+بسم الله الرحمن الرحيم السلام عليكم و رحمة الله و
+
+2
+00:00:08,290 --> 00:00:13,270
+بركاته هنكمل في مادة ال dynamica الجزء الأول كان
+
+3
+00:00:13,270 --> 00:00:18,390
+من الفصل اللي هو dynamics of particles غطينا فيها
+
+4
+00:00:18,390 --> 00:00:22,270
+kinematics of particles, kinetics of particles,
+
+5
+00:00:22,870 --> 00:00:26,490
+energy and momentum methods chapter التلت شبهات
+
+6
+00:00:26,490 --> 00:00:30,190
+الجاي هنغطي dynamics of rigid bodiesهنغطي ال
+
+7
+00:00:30,190 --> 00:00:35,950
+kinematics of rigid bodies و ال energy and
+
+8
+00:00:35,950 --> 00:00:41,150
+momentum methods for rigid bodies الان
+
+9
+00:00:41,150 --> 00:00:46,170
+ال kinematics of rigid bodies يعني بنحسب العلاقة
+
+10
+00:00:46,170 --> 00:00:52,890
+أو بنجيه علاقة بين الزمن و ال position و الصراع و
+
+11
+00:00:52,890 --> 00:00:53,490
+ال acceleration
+
+12
+00:00:56,410 --> 00:01:02,150
+بدون تطرق للمسبب، يعني احنا نحسب الصراعات .. يعني
+
+13
+00:01:02,150 --> 00:01:05,250
+بنجيب علاقة بين ال time و ال position plus و ال
+
+14
+00:01:05,250 --> 00:01:08,010
+acceleration لل particles اللي بتكون منها ال rigid
+
+15
+00:01:08,010 --> 00:01:12,710
+body، ما فيها مركز تقالو أو اي نقطة على ال rigid
+
+16
+00:01:12,710 --> 00:01:16,430
+body، هذه ال kinematics، بدون ما احكي عن forces
+
+17
+00:01:20,040 --> 00:01:24,980
+الان ممكن اصنف الحركات .. الأنواع الحركة اللى ممكن
+
+18
+00:01:24,980 --> 00:01:29,900
+يعملها rigid body طبعا ال rigid body هو جسم مكون
+
+19
+00:01:29,900 --> 00:01:33,480
+عادلانها من ال particles المسافة بين particle و
+
+20
+00:01:33,480 --> 00:01:36,880
+particle ثابتة ماتتغيرش المسافة بين particle و
+
+21
+00:01:36,880 --> 00:01:41,920
+particle ثابتة عشان انا بسميه rigid جاسع يعني
+
+22
+00:01:41,920 --> 00:01:47,490
+مافيش deformation نتيجة ال forces هذه الفرضيةالان
+
+23
+00:01:47,490 --> 00:01:52,130
+ممكن الجسم ال rigid body تحرك حركة انتقالية
+
+24
+00:01:52,130 --> 00:01:59,250
+translation سواء حركة على مسار مستقيم او على مسار
+
+25
+00:01:59,250 --> 00:02:04,850
+منحني او يكون بتاعته pure rotation حوالي المحور
+
+26
+00:02:04,850 --> 00:02:11,240
+ثابت يكون دوران حوالي المحور ثابتأو general plan
+
+27
+00:02:11,240 --> 00:02:14,580
+motion يعني في حركته فيها انتقال و فيها دوران يعني
+
+28
+00:02:14,580 --> 00:02:22,040
+فيها دمج بين الحركتين دوران مع .. مع انتقال أو ال
+
+29
+00:02:22,040 --> 00:02:26,400
+motion about a fixed point fixed point يعني بكتير
+
+30
+00:02:26,400 --> 00:02:33,850
+زي ال .. المساحة زي ال .. المراتعة السيارةالحركة
+
+31
+00:02:33,850 --> 00:02:39,810
+بيصيح حوالين سفير هبسمها motion about a fixed
+
+32
+00:02:39,810 --> 00:02:43,810
+point او general motion يعني في انتقال بالاتجاه ال
+
+33
+00:02:43,810 --> 00:02:48,850
+X و ال Y و ال Z و في دوران حوالين ال X و في دوران
+
+34
+00:02:48,850 --> 00:02:52,890
+حوالين ال Y و في دوران حوالين ال Z هذه الحركات
+
+35
+00:02:52,890 --> 00:02:57,190
+اللي ممكن تتحركها rigid body هنبدأ في ال
+
+36
+00:02:57,190 --> 00:02:57,770
+translation
+
+37
+00:03:06,250 --> 00:03:12,190
+الان الجسم بيكون في حالة انتقال في ال rotation إذا
+
+38
+00:03:12,190 --> 00:03:17,270
+كان اتجاه خط مستقيم جوا الجسم يعني هي عندي rigid
+
+39
+00:03:17,270 --> 00:03:21,950
+body فاندي خط مستقيم مواصل بين نقطة a و b إذا بضل
+
+40
+00:03:21,950 --> 00:03:28,850
+اتجاه ال a b يعني بس و أنا بمشي على خط مستقيم أو
+
+41
+00:03:28,850 --> 00:03:36,910
+بمشي علىcurve اذا ضلت ال a b بوزل a prime b prime
+
+42
+00:03:36,910 --> 00:03:41,590
+بساول وزل a double prime b prime بضلوا متوازية
+
+43
+00:03:41,590 --> 00:03:48,850
+معناته بحكي انه ال rigid body بتحرك حركة انتقالية
+
+44
+00:03:48,850 --> 00:03:52,010
+معناته
+
+45
+00:03:52,010 --> 00:03:55,150
+all particles forming rigid body move in parallel
+
+46
+00:03:55,150 --> 00:03:56,530
+lines يعني
+
+47
+00:03:59,150 --> 00:04:05,990
+او parallel curves يعني لو هذا بحركة انتقالية هذا
+
+48
+00:04:05,990 --> 00:04:12,050
+همشي على curve موها zero for any two particles اذا
+
+49
+00:04:12,050 --> 00:04:15,350
+عندك particle A و B على ال rigid body اللي احنا
+
+50
+00:04:15,350 --> 00:04:19,950
+شايفينه فيه عندك محاور X Y Z موقع ال particle A
+
+51
+00:04:19,950 --> 00:04:24,090
+بالنسبة لل origin RA موقع ال particle B بالنسبة لل
+
+52
+00:04:24,090 --> 00:04:31,680
+origin RBموقع B بالنسبة ل A R B A يعني ك vector ال
+
+53
+00:04:31,680 --> 00:04:40,360
+R B بيستوى ال R A زاد R B بالنسبة ل A لأن إذا بشتق
+
+54
+00:04:40,360 --> 00:04:45,240
+بعمل اشتقاق حكون
+
+55
+00:04:45,240 --> 00:04:51,120
+دي R B Dot بيستوى R A Dot زاد R B A Dot لأن
+
+56
+00:04:51,120 --> 00:04:58,860
+هتلاحظوا احنا حكيناالمسافة بين B و A ثابتة من حيث
+
+57
+00:04:58,860 --> 00:05:04,840
+القيمة و بيضله اتجاهه
+
+58
+00:05:04,840 --> 00:05:08,260
+بتتغيرش يعني الاتجاه بتتغيرش و القيمة بتتغيرش
+
+59
+00:05:08,260 --> 00:05:15,380
+معناته ال differential تعوش هيكون صفر مظبوط معناته
+
+60
+00:05:15,380 --> 00:05:21,200
+ال RBA dot بالساوية سفر ال RBA dot هي سرعة ال
+
+61
+00:05:21,200 --> 00:05:27,020
+particle Bو الـ ra dot هي سرعة ال particle ايه
+
+62
+00:05:27,020 --> 00:05:32,180
+معناته اذا انا عندى rigid body in pure translation
+
+63
+00:05:32,180 --> 00:05:38,060
+كل ال particles بتحركوا بنفس السرعة نعمل
+
+64
+00:05:38,060 --> 00:05:39,880
+differentiation كمان مرة
+
+65
+00:05:43,570 --> 00:05:47,010
+هتكون a b particle .. ال acceleration ل particle b
+
+66
+00:05:47,010 --> 00:05:50,090
+besides ال acceleration ل particle a معناته all
+
+67
+00:05:50,090 --> 00:05:53,390
+particles have the same acceleration معناته إذا
+
+68
+00:05:53,390 --> 00:05:56,150
+عندى ال rigid body بتحرك in a pure translation
+
+69
+00:05:56,150 --> 00:06:00,170
+معناته بتكون عندى كل ال particles اللي لها نفس
+
+70
+00:06:00,170 --> 00:06:03,970
+الصراحة و كل ال particles المكون ل rigid body اللي
+
+71
+00:06:03,970 --> 00:06:08,210
+لها نفس ال acceleration هذه
+
+72
+00:06:08,210 --> 00:06:12,280
+النوع الأول من الحركةالنقطة من الحركة اللي هو
+
+73
+00:06:12,280 --> 00:06:18,580
+rotation about a fixed axis عندي
+
+74
+00:06:18,580 --> 00:06:25,440
+هاي rigid body فعندي المحاور هاي ال X axis هاي ال
+
+75
+00:06:25,440 --> 00:06:32,780
+Y axis و هاي ال Z axis و ال body هذا في ال
+
+76
+00:06:32,780 --> 00:06:37,960
+rotation حوالين Z axis pure rotation حوالين Z axis
+
+77
+00:06:39,140 --> 00:06:46,680
+معناته لو أخدت particle P ال P هداش هسوه دائرة
+
+78
+00:06:46,680 --> 00:06:53,120
+هسوه دائرة لأن موقع ال particle P بالنسبة لمركز
+
+79
+00:06:53,120 --> 00:06:58,340
+الاحتثياتي اللي هو ايش ال vector R ال vector R
+
+80
+00:06:58,340 --> 00:07:04,000
+والزوابب بين ال vector R هو ايه محور دوران اللي هو
+
+81
+00:07:04,000 --> 00:07:06,360
+ال Z axis اللي هي في
+
+82
+00:07:10,410 --> 00:07:16,150
+الان ال particle P بدور حوالين دائرة معناه تسرعة
+
+83
+00:07:16,150 --> 00:07:21,330
+النقطة P هتكون tangent للمصار عند P صح؟ هتكون
+
+84
+00:07:21,330 --> 00:07:26,450
+tangent للماس معناه تكون عمودي على المستوى المكون
+
+85
+00:07:26,450 --> 00:07:32,910
+من R والسرعة
+
+86
+00:07:32,910 --> 00:07:37,150
+الزاوية الان ال V بيستوى DR plus vector V بيستوى
+
+87
+00:07:37,150 --> 00:07:39,330
+DR by DT
+
+88
+00:07:46,170 --> 00:07:53,610
+ماشي عندنا هاي ال X Axis وهاي
+
+89
+00:07:53,610 --> 00:08:03,210
+ال Y Axis وهاي
+
+90
+00:08:03,210 --> 00:08:10,110
+ال Z Axis والجسم يدور حوالين Z Axis لو خدنا
+
+91
+00:08:10,110 --> 00:08:21,550
+particle هنا Pالـ P بدور بيعمل دائرة هذا
+
+92
+00:08:21,550 --> 00:08:30,610
+موقع particle R بيعمل زاوية Phi
+
+93
+00:08:30,610 --> 00:08:34,970
+لو
+
+94
+00:08:34,970 --> 00:08:39,910
+بدى اعمل projection هاي عندي هاي المركز الدائرة
+
+95
+00:08:51,190 --> 00:08:57,530
+هذه عاملة زاوية هذه
+
+96
+00:08:57,530 --> 00:09:02,850
+الزاوية ثتا
+
+97
+00:09:02,850 --> 00:09:06,650
+اذا
+
+98
+00:09:06,650 --> 00:09:12,470
+باخد differential angle دي ثتا يعني هذه هذه
+
+99
+00:09:12,470 --> 00:09:21,790
+الزاوية دي ثتا او دلتا ثتا هذه مش هتكون دلتا اسالـ
+
+100
+00:09:21,790 --> 00:09:27,190
+Delta S بالساوية
+
+101
+00:09:27,190 --> 00:09:34,930
+اللى هو PP في
+
+102
+00:09:34,930 --> 00:09:42,090
+Delta Theta صح ال
+
+103
+00:09:42,090 --> 00:09:47,850
+PP خد المثلث OPP
+
+104
+00:09:47,850 --> 00:09:49,990
+الوطر تعالى المثلث
+
+105
+00:09:54,810 --> 00:10:05,390
+هذه O بي بي هذي R و هذي زي ايش فاي بيعني ال بي بي
+
+106
+00:10:05,390 --> 00:10:08,890
+بالسوء
+
+107
+00:10:08,890 --> 00:10:18,470
+R sin فاي معناته ال Delta S هتكون بالسوء R sin فاي
+
+108
+00:10:18,470 --> 00:10:22,550
+Delta Theta
+
+109
+00:10:26,360 --> 00:10:35,620
+نقسم على delta T على delta T ال V هتكون الساوية
+
+110
+00:10:35,620 --> 00:10:46,460
+limit delta S على delta T as delta T approaches
+
+111
+00:10:46,460 --> 00:10:50,020
+Zero يعني
+
+112
+00:10:50,020 --> 00:10:54,080
+هتكون تساوية DS
+
+113
+00:10:56,840 --> 00:11:09,640
+by dt هتكون so r sin phi في theta dot theta
+
+114
+00:11:09,640 --> 00:11:17,740
+dot بتمثل التغير في ال angle يعني سرعة زاوية يعني
+
+115
+00:11:17,740 --> 00:11:26,440
+هتكون v so r omega sin phi
+
+116
+00:11:31,300 --> 00:11:39,280
+ال V هتكون هاي
+
+117
+00:11:39,280 --> 00:11:44,480
+ال V و
+
+118
+00:11:44,480 --> 00:11:51,520
+ال Omega اتجاهها عموديه على الصفحه يعني هتكون
+
+119
+00:11:51,520 --> 00:11:59,340
+موازيه ل ال Z Axis ال Omega معناه تو ال V عموديه
+
+120
+00:11:59,340 --> 00:12:09,240
+علىالـ R وعلى Omega معناته
+
+121
+00:12:09,240 --> 00:12:19,840
+ال V هتكون تساوي Omega cross R هذي ك vector هذي
+
+122
+00:12:19,840 --> 00:12:23,400
+قيمته اللي هتكون R Omega صين ازاوية بينهم هاي
+
+123
+00:12:23,400 --> 00:12:28,760
+ازاوية هاي R هاي اتجاه Omega ازاوية بينهم هيش five
+
+124
+00:12:30,550 --> 00:12:34,370
+فال V بتكون ال cross في حالة ال rotation حوالين
+
+125
+00:12:34,370 --> 00:12:40,130
+محور ثابت بتكون Omega cross R Omega السرع الزاوية
+
+126
+00:12:40,130 --> 00:12:46,550
+R ال position vector ال Omega طبعا اتجاه الحالة
+
+127
+00:12:46,550 --> 00:12:53,970
+هذه Omega باتجاه ال K او ال Z
+
+128
+00:13:00,200 --> 00:13:06,180
+الان احنا حكينا ال V سواء
+
+129
+00:13:06,180 --> 00:13:14,580
+Omega cross R ال acceleration هتكون بالساوية DV by
+
+130
+00:13:14,580 --> 00:13:26,360
+DT هتكون مشتقة الأول D Omega by DT cross R زائد
+
+131
+00:13:26,360 --> 00:13:38,200
+Omegacross dr by dt يعني هتكون هذه التغيير في
+
+132
+00:13:38,200 --> 00:13:45,000
+السرعة angular acceleration يعني Alpha cross R زاد
+
+133
+00:13:45,000 --> 00:13:55,100
+Omega cross V يعني هتكون Alpha cross R زاد Omega
+
+134
+00:13:55,100 --> 00:14:05,420
+cross V اللي هي عبارة عن إيش؟وميجا كروس ار هذه
+
+135
+00:14:05,420 --> 00:14:15,760
+اللي هي tangential component
+
+136
+00:14:15,760 --> 00:14:21,960
+ال acceleration وهذه normal
+
+137
+00:14:25,210 --> 00:14:30,670
+component of acceleration already
+
+138
+00:14:57,160 --> 00:15:00,660
+طبعا ال .. ال .. هناخد حالة خاصة rotation about a
+
+139
+00:15:00,660 --> 00:15:06,500
+fixed axis 2D لان عندى مبين ال X Y plane ال Z
+
+140
+00:15:06,500 --> 00:15:12,720
+معناته عمودي على الصفحه صح ال particle P الجسم
+
+141
+00:15:12,720 --> 00:15:16,320
+طبعا بدور حول ال Z axis معناته ال particle P بيعمل
+
+142
+00:15:16,320 --> 00:15:22,120
+دائرة معناته سرعة ال particle V هتكون عمودية على
+
+143
+00:15:22,120 --> 00:15:30,410
+ال radius صحهتكون omega cross r هذا ال V ال
+
+144
+00:15:30,410 --> 00:15:34,450
+acceleration هتكون في اندي tangential component
+
+145
+00:15:34,450 --> 00:15:38,690
+اللي هي a tangential alpha cross r و في اندي
+
+146
+00:15:38,690 --> 00:15:42,710
+normal component اللي هي omega cross r اللي هتكون
+
+147
+00:15:42,710 --> 00:15:51,590
+لجوه لان
+
+148
+00:15:51,590 --> 00:15:54,050
+ال احنا حكينا ال omega
+
+149
+00:15:56,840 --> 00:16:03,160
+بسوة دي ثتا على دي تا هذا
+
+150
+00:16:03,160 --> 00:16:04,740
+بال rotation ال omega
+
+151
+00:16:21,580 --> 00:16:30,360
+الـ V مثلا هنا بيستوى مثلا DX بي DT هدفه Linear
+
+152
+00:16:30,360 --> 00:16:33,520
+صح؟
+
+153
+00:16:33,520 --> 00:16:38,140
+Linear Velocity لأن أقدر Velocity Omega بيستوى D
+
+154
+00:16:38,140 --> 00:16:46,240
+Theta بي DT هنا عندي X Linear Displacement ماعندي
+
+155
+00:16:46,240 --> 00:16:59,580
+هنااشعند ال alpha ال acceleration dv by dt يعني ال
+
+156
+00:16:59,580 --> 00:17:06,240
+angle of acceleration d omega by dt
+
+157
+00:17:09,590 --> 00:17:17,490
+وبرضه بتساوي دي أميجا على دي ثيتا في دي ثيتا على
+
+158
+00:17:17,490 --> 00:17:27,010
+دي تي يعني بس أميجا دي أميجا by دي ثيتا وهين برضه
+
+159
+00:17:27,010 --> 00:17:35,130
+ال A بتساوي V by
+
+160
+00:17:35,130 --> 00:17:42,820
+DXيعني في تماثل بالعلاقات بس هذا linear هذا
+
+161
+00:17:42,820 --> 00:17:49,760
+rotation هناخد
+
+162
+00:17:49,760 --> 00:17:54,220
+حالات خاصة عندي uniform rotation يعني rotation
+
+163
+00:17:54,220 --> 00:18:00,540
+بسرعة منتظرة معناته ال alpha شو يستاوي؟ صفر إذا ال
+
+164
+00:18:00,540 --> 00:18:07,380
+alpha بستاوي صفر معناته ال omegaبتكون تساوي
+
+165
+00:18:07,380 --> 00:18:15,320
+constant صح؟ معناته هذهوميجا بيساوي دي ثيتا by دي
+
+166
+00:18:15,320 --> 00:18:23,680
+تي معناته دي ثيتا بيساوي اميجا دي تي دي يعني تجرب
+
+167
+00:18:23,680 --> 00:18:30,820
+من صفر ل تي هي من ثيتا ند لثيتا معناته ثيتا minus
+
+168
+00:18:30,820 --> 00:18:37,080
+ثيتا ند بيساوي اميجا في تي يعني ثيتا بيساوي ثيتا
+
+169
+00:18:37,080 --> 00:18:40,260
+ند زاد اميجا في تي
+
+170
+00:18:44,850 --> 00:18:50,270
+هذه الحالة والحالة التانية rotation with uniform
+
+171
+00:18:50,270 --> 00:18:55,310
+acceleration rotation يعني
+
+172
+00:18:55,310 --> 00:19:00,710
+خلينا هذه نذكر المقابل اللي لها linear كانت X
+
+173
+00:19:03,630 --> 00:19:11,750
+بسوة X NOT زائد V في T الحالة التانية Alpha بسوة
+
+174
+00:19:11,750 --> 00:19:17,430
+constant uniform acceleration بسوة
+
+175
+00:19:17,430 --> 00:19:24,870
+D Omega by DT يعني هيكون D Omega سواء Alpha DT
+
+176
+00:19:24,870 --> 00:19:32,080
+Integral من صفر ل T من Omega NOTلأميجا يعني هتكون
+
+177
+00:19:32,080 --> 00:19:38,160
+عندي أميجا سواء أميجا نود زاد ألفا في T كانت V
+
+178
+00:19:38,160 --> 00:19:45,920
+سواء V نود أو
+
+179
+00:19:45,920 --> 00:19:55,440
+بدي أحكي أن ألفا بالساوية أميجا D أميجا على D ثتا
+
+180
+00:19:55,440 --> 00:20:02,430
+يعني أميجاD Omega بيستوى Alpha D Theta هي من Theta
+
+181
+00:20:02,430 --> 00:20:11,310
+node للثيتا ومن Omega node لعمجة يعني هكون Omega
+
+182
+00:20:11,310 --> 00:20:16,670
+تربيع على اتنين minus Omega node تربيع على اتنين
+
+183
+00:20:16,670 --> 00:20:23,310
+بيستوى Alpha في Theta minus Theta node يعني Omega
+
+184
+00:20:23,310 --> 00:20:31,740
+تربيعبس هو omega node تربيع زي اتنين alpha في
+
+185
+00:20:31,740 --> 00:20:38,540
+theta minus theta node في ال linear V تربيع V node
+
+186
+00:20:38,540 --> 00:20:43,080
+تربيع زي اتنين A في X minus X node
+
+187
+00:20:53,220 --> 00:21:00,320
+حل مثال cable C has a constant acceleration of 9
+
+188
+00:21:00,320 --> 00:21:05,160
+inch per second square and an initial velocity of
+
+189
+00:21:05,160 --> 00:21:11,320
+12 inch per second both directed to the right يعني
+
+190
+00:21:11,320 --> 00:21:17,520
+هحيكون عنداه AC تسعة
+
+191
+00:21:17,520 --> 00:21:17,920
+انش
+
+192
+00:21:20,780 --> 00:21:27,380
+اتجاه اليمين و Vc node 12
+
+193
+00:21:27,380 --> 00:21:37,280
+inch اتجاه اليمين determine
+
+194
+00:21:37,280 --> 00:21:40,660
+the number of revolutions in the pulley in two
+
+195
+00:21:40,660 --> 00:21:41,000
+seconds
+
+196
+00:21:59,100 --> 00:22:05,240
+لأن هم عطيني VC او
+
+197
+00:22:05,240 --> 00:22:09,940
+AC VC
+
+198
+00:22:09,940 --> 00:22:15,540
+node ليه اتناشر انش per second
+
+199
+00:22:30,270 --> 00:22:36,730
+بدو هو number of revolutions in
+
+200
+00:22:36,730 --> 00:22:44,270
+two seconds يعني number of
+
+201
+00:22:44,270 --> 00:22:58,410
+revolutions in two seconds الآن
+
+202
+00:23:03,530 --> 00:23:07,470
+VD شو ساوي؟
+
+203
+00:23:07,470 --> 00:23:21,230
+VD دايما بيساوي VC، صح؟ يعني هتكون VD node بيساوي
+
+204
+00:23:21,230 --> 00:23:22,150
+اتناشر انش
+
+205
+00:23:30,660 --> 00:23:34,300
+و a d tangential انا بحكي على ال drum a d
+
+206
+00:23:34,300 --> 00:23:52,280
+tangential هتكون بتساوي a c بتساوي تسعة انش طالما
+
+207
+00:23:52,280 --> 00:23:55,660
+عرفت انا ال a d على ال drum عندي هنا
+
+208
+00:24:01,160 --> 00:24:11,300
+أي دي تنجينشيل تسعة انش per second squared معناته
+
+209
+00:24:11,300 --> 00:24:16,200
+العجل الزاوية للدرام معناته
+
+210
+00:24:16,200 --> 00:24:26,920
+اللي هي Alpha للدرام هتساوي
+
+211
+00:24:26,920 --> 00:24:28,200
+اي دي تنجينشيل
+
+212
+00:24:30,810 --> 00:24:35,230
+على ال radius على
+
+213
+00:24:35,230 --> 00:24:39,750
+تلاتة يعني
+
+214
+00:24:39,750 --> 00:24:49,330
+هتكون تسعة ع تلاتة تلاتة radian per second square
+
+215
+00:24:49,330 --> 00:24:57,230
+clockwise صح؟ اظهر طيب
+
+216
+00:24:58,650 --> 00:25:03,570
+الانشال ايجدكس اتش لادرام هتكون اوميجا نود هتكون
+
+217
+00:25:03,570 --> 00:25:13,330
+سوى VD نود على تلاتة صح اتناش
+
+218
+00:25:13,330 --> 00:25:22,650
+ع تلاتة هتطلع اربعة radian per second برضه
+
+219
+00:25:22,650 --> 00:25:23,030
+clockwise
+
+220
+00:25:31,940 --> 00:25:36,800
+الان إيش نوع حركة درام؟ uniform, rotation أو .. أو
+
+221
+00:25:36,800 --> 00:25:44,300
+rotation نوع الحركة .. motion of
+
+222
+00:25:44,300 --> 00:25:49,900
+a drum rotation
+
+223
+00:25:49,900 --> 00:25:54,900
+about
+
+224
+00:25:54,900 --> 00:25:56,980
+a
+
+225
+00:26:03,380 --> 00:26:09,820
+with constant alpha
+
+226
+00:26:09,820 --> 00:26:17,300
+angle of acceleration صح؟ المعلومات
+
+227
+00:26:17,300 --> 00:26:25,960
+هتكون عندي ال theta minus theta node سوى
+
+228
+00:26:25,960 --> 00:26:36,220
+omega node في ال Tزاد نص ألفة
+
+229
+00:26:36,220 --> 00:26:47,460
+T تربيع صح؟ اللي هي Delta تيتا Omega
+
+230
+00:26:47,460 --> 00:26:59,680
+نوضي عن T أربعة في ال T اتنين زاد نص في تلاتة في
+
+231
+00:26:59,680 --> 00:27:00,460
+اتنين تربيع
+
+232
+00:27:03,800 --> 00:27:09,240
+يعني هتكون يعني
+
+233
+00:27:09,240 --> 00:27:14,620
+تلاتة في اتنين ستة و تمانية اربعتاش اربعتاش رقياش
+
+234
+00:27:14,620 --> 00:27:22,620
+radians عند
+
+235
+00:27:22,620 --> 00:27:31,560
+ال two pi radians equivalent لكم revolution ل one
+
+236
+00:27:31,560 --> 00:27:32,120
+revolution
+
+237
+00:27:35,640 --> 00:27:42,120
+revolution معناته الاربعتاش ال radians هتكون كم؟
+
+238
+00:27:42,120 --> 00:27:47,580
+معناته هذا هتكون تساوي اربعتاش
+
+239
+00:27:47,580 --> 00:27:57,620
+في واحد على اتنين بيه عشان احولها ل revolutions ها
+
+240
+00:27:57,620 --> 00:27:58,300
+كم تطلع؟
+
+241
+00:28:16,390 --> 00:28:20,650
+تانية كم الرقم؟ اتنين اتنين اتنين اتنين اتنين
+
+242
+00:28:20,650 --> 00:28:21,710
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+243
+00:28:21,710 --> 00:28:23,730
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+244
+00:28:23,730 --> 00:28:30,030
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+245
+00:28:30,030 --> 00:28:31,990
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+246
+00:28:31,990 --> 00:28:31,990
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+247
+00:28:31,990 --> 00:28:35,170
+اتنين اتنين اتنين اتنين اتنين اتنين اتنين اتنين
+
+248
+00:28:35,170 --> 00:28:44,070
+اتن
+
+249
+00:28:44,150 --> 00:28:47,530
+and it change in position of load B after two
+
+250
+00:28:47,530 --> 00:28:54,250
+second هاي
+
+251
+00:28:54,250 --> 00:29:01,810
+B اللي بقى بعد two second هسير هنا هرتفع
+
+252
+00:29:01,810 --> 00:29:12,790
+مظبوط لإنه هدا هلف ده هيك طيب
+
+253
+00:29:19,050 --> 00:29:28,990
+الصورة بي اللي بتدري أكم كانت VpNode أكم
+
+254
+00:29:28,990 --> 00:29:33,630
+كانت VpNode
+
+255
+00:29:33,630 --> 00:29:40,750
+بس
+
+256
+00:29:40,750 --> 00:29:45,450
+أنا عرفت الصورة الزاوية بالصورة Omega في خمسة صح
+
+257
+00:29:45,450 --> 00:29:47,710
+هذه خمسة
+
+258
+00:29:52,280 --> 00:29:59,500
+اميجا في خمسة يعني
+
+259
+00:29:59,500 --> 00:30:12,680
+هيكون عند الاميجا او اميجا ند اربعة في خمسة عشرين
+
+260
+00:30:12,680 --> 00:30:14,060
+انش per second
+
+261
+00:30:18,380 --> 00:30:27,060
+طيب هذه .. اه
+
+262
+00:30:27,060 --> 00:30:35,000
+.. هسميها نقطة A الاكسلاج هنا ال body بيه AB هتكون
+
+263
+00:30:35,000 --> 00:30:45,120
+سواء AE tangential صح؟ يعني ال AE tangential هتكون
+
+264
+00:30:45,120 --> 00:30:57,350
+خمسةفي الف صح يعني خمسة في تلاتة صح خمستاشر
+
+265
+00:30:57,350 --> 00:31:03,910
+انش طيب
+
+266
+00:31:03,910 --> 00:31:08,930
+نجيب ال omega ال E نه نجيب ال omega ال E بعد اتنين
+
+267
+00:31:08,930 --> 00:31:15,710
+ثانية عشان نجيب P بعد اتنين ثانية هو .. هو معطين
+
+268
+00:31:15,710 --> 00:31:16,390
+ال ..
+
+269
+00:31:19,010 --> 00:31:25,990
+الان احنا جبنا ال omega node بدول ال change in
+
+270
+00:31:25,990 --> 00:31:32,350
+position اللي هو Delta Y Delta Y مش هتساوي VB
+
+271
+00:31:32,350 --> 00:31:47,550
+node في T زائد نص AB في T تربيع يعني هتساوي اللي
+
+272
+00:31:47,550 --> 00:31:56,110
+هي عشرينفى اتنين زياد نص فى
+
+273
+00:31:56,110 --> 00:32:02,650
+اتنين تربية يعنى تلاتين
+
+274
+00:32:02,650 --> 00:32:14,870
+واربعين سبعين انش و
+
+275
+00:32:14,870 --> 00:32:16,310
+VB بعد اتنين ثانية
+
+276
+00:32:25,300 --> 00:32:27,200
+الـ VPNode
+
+277
+00:32:45,560 --> 00:32:49,060
+ممكن احكي اللي انا عرفته Delta Theta Delta Theta
+
+278
+00:32:49,060 --> 00:32:57,580
+عرفته اللي هي اربعتاشر radians صح الارتفاع
+
+279
+00:32:57,580 --> 00:33:05,480
+هيكون اللي هو طول الكمية الحبل اللي هتلف على
+
+280
+00:33:05,480 --> 00:33:13,980
+البكرة صح ممكن احكي دلتا Y برضه صح هو Delta Theta
+
+281
+00:33:16,070 --> 00:33:22,290
+في خمسة صح اللي هي اربعتاش في خمسة اللي هي اكم
+
+282
+00:33:22,290 --> 00:33:25,530
+سبعين
+
+283
+00:33:25,530 --> 00:33:29,030
+انش هذا
+
+284
+00:33:29,030 --> 00:33:37,530
+المطلوب التاني المطلوب
+
+285
+00:33:37,530 --> 00:33:43,770
+التالت acceleration of point D on the rim of the
+
+286
+00:33:43,770 --> 00:33:53,030
+innerالـ T قول زيرو الـ T قول زيرو الـ
+
+287
+00:33:53,030 --> 00:33:57,190
+T قول زيرو الـ T قول زيرو الـ T قول زيرو الـ T قول
+
+288
+00:33:57,190 --> 00:34:01,590
+زيرو الـ
+
+289
+00:34:01,590 --> 00:34:03,230
+T قول زيرو الـ T قول زيرو الـ T قول زيرو الـ T قول
+
+290
+00:34:03,230 --> 00:34:03,430
+زيرو الـ T قول زيرو الـ T قول زيرو الـ T قول زيرو
+
+291
+00:34:03,430 --> 00:34:03,430
+الـ T قول زيرو الـ T قول زيرو الـ T قول زيرو الـ T
+
+292
+00:34:03,430 --> 00:34:03,430
+قول زيرو الـ T قول زيرو الـ T قول زيرو الـ T قول
+
+293
+00:34:03,430 --> 00:34:03,430
+زيرو الـ T قول زيرو الـ T قول زيرو الـ T قول زيرو
+
+294
+00:34:03,430 --> 00:34:07,250
+الـ T قول زيرو الـ T قول زيرو الـ T قول زيرو
+
+295
+00:34:07,250 --> 00:34:11,470
+الـ
+
+296
+00:34:11,470 --> 00:34:11,930
+T قول زيرو الـ T قول زيرو
+
+297
+00:34:16,470 --> 00:34:23,250
+وميجا نوت دي اللي هي اربعة تربيع الاراكم تلاتة
+
+298
+00:34:23,250 --> 00:34:31,190
+تلاتة يعني ستاشر تلاتة تمانية واربعين انش per
+
+299
+00:34:31,190 --> 00:34:41,170
+second square المعنى
+
+300
+00:34:41,170 --> 00:34:44,390
+ان انا عندي ال a d tangential
+
+301
+00:34:47,550 --> 00:34:58,430
+تسعة وال ا دي normal تمانية أربعين هد
+
+302
+00:34:58,430 --> 00:35:03,550
+ال
+
+303
+00:35:03,550 --> 00:35:11,950
+a دي normal في البداية معناه
+
+304
+00:35:11,950 --> 00:35:13,170
+تعرّم هتكون
+
+305
+00:35:15,770 --> 00:35:20,150
+هذا اي دي اي
+
+306
+00:35:20,150 --> 00:35:26,850
+دي ند يعني اي دي ند هتكون
+
+307
+00:35:26,850 --> 00:35:34,910
+جزر التربيعي ل اي دي tangential تربيع زاد اي دي
+
+308
+00:35:34,910 --> 00:35:42,870
+normal ند تربيع هتسوى جزر التربيع ل تسعة تربيع
+
+309
+00:36:02,240 --> 00:36:15,860
+كام بتطلع 48 48 الزاوية
+
+310
+00:36:15,860 --> 00:36:26,080
+بيعتها تاني انفرس بالساوية تاني انفرس لل ا دي
+
+311
+00:36:26,080 --> 00:36:27,300
+normal load
+
+312
+00:36:31,540 --> 00:36:40,620
+الـ AD Tangential يعني هكون تاني انفرس لتمانية
+
+313
+00:36:40,620 --> 00:36:50,060
+و أربعين على تسعة تسعة
+
+314
+00:36:50,060 --> 00:37:00,060
+و سبعين معناته
+
+315
+00:37:00,060 --> 00:37:06,490
+AD nodeفي البداية كانت قيمة التمانية و أربعين
+
+316
+00:37:06,490 --> 00:37:15,210
+point تمانية inch لكل second تربيع تعمل معاه
+
+317
+00:37:15,210 --> 00:37:23,230
+الأفقي زاوية
+
+318
+00:37:23,230 --> 00:37:29,570
+تسعة و سبعين point four degrees
+
+319
+00:37:37,770 --> 00:37:46,550
+في اي سؤال؟ كل مثلة دينامية كانت نفس المثلة، كلها
+
+320
+00:37:46,550 --> 00:37:53,830
+نفس المثلة، بس بدك تعمل النموذج، ال model صح
+
+321
+00:37:58,110 --> 00:38:01,950
+و تفسر المسألة صح يعني تفهم ال physics بتاعك صح
+
+322
+00:38:01,950 --> 00:38:05,910
+بتحل المسألة تعمل ال free body diagrams صح تحط
+
+323
+00:38:05,910 --> 00:38:12,710
+اتجاهات صح و .. و تمشي خطوة خطوة ففعليا ال
+
+324
+00:38:12,710 --> 00:38:22,670
+dynamics كلها نفس المسألة طيب في اي سؤال؟ معذرة
+
+325
+00:38:22,670 --> 00:38:24,090
+جهازك كمان اعطيك ولا عرضك؟
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/9xtGNdjIEG8.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/9xtGNdjIEG8.srt
new file mode 100644
index 0000000000000000000000000000000000000000..7c2bb3400f6a65bbd9934cd96188e6e5e2942219
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/9xtGNdjIEG8.srt
@@ -0,0 +1,1159 @@
+1
+00:00:05,430 --> 00:00:07,550
+طيب بسم الله الرحمن الرحيم السلام عليكم ورحمة
+
+2
+00:00:07,550 --> 00:00:10,370
+الله وبركاته وهنكمل في مادة الـdynamics احنا في
+
+3
+00:00:10,370 --> 00:00:14,210
+الـchapter الثالث الـ energy and momentum methods
+
+4
+00:00:14,210 --> 00:00:17,790
+الـمراحل الفاتت حلينا examples على الـ principle of
+
+5
+00:00:17,790 --> 00:00:22,490
+work and energy حلينا خمس أمثلة لحتى اللحظة، اليوم
+
+6
+00:00:22,490 --> 00:00:26,830
+هنكمل على موضوع الـ potential energy طاقة الوضع زي
+
+7
+00:00:26,830 --> 00:00:29,070
+ما أنتم شايفين عند.. في عند الجسم
+
+8
+00:00:32,600 --> 00:00:35,940
+يتحرك من position واحد لـ position اثنين، يعني لو
+
+9
+00:00:35,940 --> 00:00:39,500
+position واحد كان y واحد الارتفاع، لو position
+
+10
+00:00:39,500 --> 00:00:43,000
+اثنين كان ارتفاع y اثنين، حكينا الشغل المبذول من
+
+11
+00:00:43,000 --> 00:00:48,360
+واحد لـاثنين بيساوي Wy واحد ناقص Wy اثنين، اللحظة
+
+12
+00:00:48,360 --> 00:00:56,200
+الشغل المبذول في حالة الوزن بيعتمد على البداية
+
+13
+00:00:56,200 --> 00:01:02,510
+والنهاية، ما بيعتمد على المسار، يعني لو راح مباشرًة أو
+
+14
+00:01:02,510 --> 00:01:06,270
+لف خمسين لفة، بغض النظر عن المسار، بيعتمد على
+
+15
+00:01:06,270 --> 00:01:10,590
+القيمة الابتدائية والقيمة النهائية، أنتم تشوفوا U و
+
+16
+00:01:10,590 --> 00:01:14,110
+U واحد اثنين بيساوي Wy واحد ناقص Wy اثنين، يعني
+
+17
+00:01:14,110 --> 00:01:18,510
+بيعتمد على البداية والنهاية، معناته it is path
+
+18
+00:01:18,510 --> 00:01:23,990
+independent في الحالة إذا كانت الـقوة اللي
+
+19
+00:01:23,990 --> 00:01:27,890
+الشغل بتاعها بيعتمد على.. بيعتمدش على المسار
+
+20
+00:01:30,630 --> 00:01:35,190
+ممكن نستخدم اللي هي الطاقة الوضع، الشغل U واحد
+
+21
+00:01:35,190 --> 00:01:38,950
+اثنين بيساوي طاقة الوضع واحد ناقص طاقة الوضع اثنين
+
+22
+00:01:38,950 --> 00:01:44,510
+وطاقة الوضع بيساوي الوزن في الارتفاع من reference
+
+23
+00:01:44,510 --> 00:01:51,690
+frame أنا بحدده، طيب
+
+24
+00:01:51,690 --> 00:01:59,270
+for لـ..لـ..space vehicle مركبة فضائية، الـ
+
+25
+00:01:59,270 --> 00:02:04,360
+variation of force of gravity، الـU1 لـ U2 هذه المرة
+
+26
+00:02:04,360 --> 00:02:09,460
+تعينة G كابيتال M كابيتال m small على R2، معناته G
+
+27
+00:02:09,460 --> 00:02:13,820
+كابيتال M كابيتال m small على R1، واضح برضه في حالة
+
+28
+00:02:13,820 --> 00:02:19,360
+اللي هو force of attraction between two bodies
+
+29
+00:02:19,360 --> 00:02:25,320
+الشغل هذول بيعتمد على البداية والنهاية، معناته هو
+
+30
+00:02:25,320 --> 00:02:30,240
+ما بيعتمد على المسار، it is path independent، الـ
+
+31
+00:02:30,240 --> 00:02:33,440
+potential energy for this force is given by اللي هي
+
+32
+00:02:33,440 --> 00:02:40,580
+ناقص GM كابيتال M small على R، في الـ spring زنبرك
+
+33
+00:02:40,580 --> 00:02:44,840
+حكينا U واحد اثنين بيساوي نص K X واحد تربيع ناقص نص
+
+34
+00:02:44,840 --> 00:02:49,140
+K X اثنين تربيع، برضه بتعتمد على البداية وعلى النهاية
+
+35
+00:02:49,140 --> 00:02:52,860
+ما بتعتمد على المسار، معناته ممكن نستخدم فيها
+
+36
+00:02:52,860 --> 00:02:57,710
+potential energy طاقة مختزنة أو طاقة وضع نتيجة
+
+37
+00:02:57,710 --> 00:03:01,950
+انضغاط الزنبرك أو شدّه، بيصير فيه طاقة مخزونة اللي
+
+38
+00:03:01,950 --> 00:03:06,370
+هي V elastic وبيساو نص K X تربيع، والـ U واحد اثنين
+
+39
+00:03:06,370 --> 00:03:09,050
+اللي هي V elastic واحد ناقص V elastic اثنين
+
+40
+00:03:09,050 --> 00:03:12,550
+لاحظوا يعني الـ V كابيتال مش سرعة، الـ V رمز للـ
+
+41
+00:03:12,550 --> 00:03:20,710
+potential energy لأن
+
+42
+00:03:20,710 --> 00:03:27,770
+كل القوة هذه، كل القوة اللي بتعمل شغل بيعتمد على
+
+43
+00:03:27,770 --> 00:03:32,970
+البداية وعلى النهاية، ما بيعتمد على المسار، بسميها
+
+44
+00:03:32,970 --> 00:03:37,750
+قوة محافظة conservative forces، الشغل بتاعها ما
+
+45
+00:03:37,750 --> 00:03:41,050
+بيعتمد على المسار، بيعتمد على البداية وعلى النهاية
+
+46
+00:03:41,050 --> 00:03:48,290
+بسميها قوة محافظة conservative forces، احنا
+
+47
+00:03:48,290 --> 00:03:54,160
+سابقا حكينا التغير في طاقة الحركة بيساوي الشغل
+
+48
+00:03:54,160 --> 00:03:57,360
+المبذول من واحد لـاثنين، يعني U واحد اثنين بيساوي
+
+49
+00:03:57,360 --> 00:04:04,520
+T2 ناقص T1، و U واحد اثنين بيساوي V واحد ناقص V2
+
+50
+00:04:04,520 --> 00:04:09,540
+إذا بنعوض عن U واحد اثنين، V واحد ناقص V2 بيساوي T
+
+51
+00:04:09,540 --> 00:04:14,200
+واحد زائد V واحد بيساوي T2 زائد V2، يعني الـ total
+
+52
+00:04:14,200 --> 00:04:20,920
+mechanical energy is constant، عندنا
+
+53
+00:04:20,920 --> 00:04:22,340
+هنا بندول
+
+54
+00:04:38,820 --> 00:04:48,280
+وفي طرف كتلة M هذا
+
+55
+00:04:48,280 --> 00:04:56,020
+position واحد، هذا position اثنين، لو حطيت الـ
+
+56
+00:04:56,020 --> 00:05:03,780
+reference بتاعي هذا المرجع، الـ data و
+
+57
+00:05:03,780 --> 00:05:09,720
+حكيت المفروض أن الـ T واحد زائد V واحد تساوي T اثنين
+
+58
+00:05:09,720 --> 00:05:19,360
+زائد V اثنين، طبعاً أطلق من السكون، معناته الـkinetic اللي
+
+59
+00:05:19,360 --> 00:05:25,380
+كنا نسميه وقتها إيش؟ بيساوي صفر، T واحد بيساوي
+
+60
+00:05:25,380 --> 00:05:32,300
+صفر، و V واحد إيش بيساوي؟ هذه المسافة L صح؟ Mg
+
+61
+00:05:37,570 --> 00:05:48,790
+في L، يعني T1 زائد V1 تساوي صفر زائد MgL، يعني بيساوي MgL
+
+62
+00:05:48,790 --> 00:05:55,710
+طيب T2
+
+63
+00:05:55,710 --> 00:06:01,110
+إيش بيساوي؟ نص
+
+64
+00:06:01,110 --> 00:06:06,610
+M V2 تربيع
+
+65
+00:06:08,820 --> 00:06:15,380
+طيب V2 إيش بيساوي؟ احنا
+
+66
+00:06:15,380 --> 00:06:27,780
+نحكي T1 زائد V1 تساوي T2 زائد V2، T1 زائد
+
+67
+00:06:27,780 --> 00:06:35,040
+V1 احنا نحكي هنا بيساوي MgL، نص
+
+68
+00:06:35,040 --> 00:06:35,440
+M
+
+69
+00:06:39,240 --> 00:06:50,180
+V2 تربيع، معناته V2 هتكون جذر التربيعي لـ 2
+
+70
+00:06:50,180 --> 00:06:50,560
+gL
+
+71
+00:07:04,780 --> 00:07:10,360
+لما particle بتحرك تحت تأثير مجموعة من القوة المحافظة
+
+72
+00:07:10,360 --> 00:07:16,740
+بتكون الطاقة الميكانيكية الكلية ثابتة، يعني طاقة
+
+73
+00:07:16,740 --> 00:07:21,040
+الوضع وطاقة الحركة بتكون ثابتة لما يكون تحت
+
+74
+00:07:21,040 --> 00:07:27,500
+تأثير قوة محافظة، الاحتكاك هل هو قوة محافظة؟ ليش؟
+
+75
+00:07:28,870 --> 00:07:31,250
+بيعتمد على المسار، يعني لو أنا مشيت من مسافة من أ
+
+76
+00:07:31,250 --> 00:07:35,590
+لـ ب، مشيت مباشرًة، هيكون الاحتكاك أقل، لكن لو لفيت
+
+77
+00:07:35,590 --> 00:07:38,650
+لفات كثيرة هيكون الاحتكاك أكثر، معناته أن إذا تغير
+
+78
+00:07:38,650 --> 00:07:43,750
+المسار هيتغير الطاقة المفقودة، يعني كل
+
+79
+00:07:43,750 --> 00:07:48,710
+ما أطول المسار هأفقد طاقة أكثر، معناته الـ friction
+
+80
+00:07:48,710 --> 00:07:52,430
+is not a conservative force، وبالتالي الـ total
+
+81
+00:07:52,430 --> 00:07:57,550
+mechanical energy طبعاً في احتكاك بتقل
+
+82
+00:07:58,710 --> 00:08:04,410
+طول ما فيه احتكاك بتقل طبعاً طاقة الـ..الـ..الـ
+
+83
+00:08:04,410 --> 00:08:11,070
+الـ..الـ mechanical دي، يعني بتبدد على شكل حرارة من
+
+84
+00:08:11,070 --> 00:08:16,650
+خلال الاحتكاك، مظبوط؟ يعني أنتم تحركوا يدكم، بسخنوها،
+
+85
+00:08:16,650 --> 00:08:22,290
+معناته بددتوا الطاقة، انحولت لحرارة، طاقة حرارية
+
+86
+00:08:24,110 --> 00:08:26,850
+معناته الـ total energy فيه الـ mechanical energy و
+
+87
+00:08:26,850 --> 00:08:30,930
+فيه الـ total، الـ total energy إيش؟ أوسع منها، constant
+
+88
+00:08:30,930 --> 00:08:38,590
+يعني إذا أنا بحكي فيه عند احتكاك ممكن أحكي T1 زائد
+
+89
+00:08:38,590 --> 00:08:52,550
+V1 تساوي T2 زائد V2 زائد losses بيصير صح؟ يعني
+
+90
+00:08:52,550 --> 00:08:57,000
+الطاقة الابتدائية تساوي الطاقة الميكانيكية زائد
+
+91
+00:08:57,000 --> 00:09:02,180
+الفواقد اللي فقدتها، معناته الـ total energy is
+
+92
+00:09:02,180 --> 00:09:07,040
+constant، لكن في حالة الـ conservative forces اللي
+
+93
+00:09:07,040 --> 00:09:10,500
+بتكون الـ forces بتعتمدش على المسار، بتكون الـ losses
+
+94
+00:09:10,500 --> 00:09:11,660
+صفر
+
+95
+00:09:18,850 --> 00:09:22,690
+ناخد حالة ثانية، إذا كان عندي جسم تحت تأثير قوة
+
+96
+00:09:22,690 --> 00:09:27,650
+محافظة مركزية، يعني مثلاً عندي قمر صناعي يدور حولين
+
+97
+00:09:27,650 --> 00:09:31,270
+الأرض، دائماً القوة بتشد في اتجاه المركز، دائماً
+
+98
+00:09:31,270 --> 00:09:37,230
+القوة إيش؟ أسمها مركزية، احنا حكينا في الشطر الفات
+
+99
+00:09:37,230 --> 00:09:40,450
+إذا بيكون الجسم تحت تأثير قوة مركزية بيكون عندي
+
+100
+00:09:40,450 --> 00:09:44,170
+conservation of angular momentum صح؟ لأن الـ moment
+
+101
+00:09:44,170 --> 00:09:47,510
+of this force هتكون تساوي الصفر، واحنا حكينا الـ
+
+102
+00:09:47,510 --> 00:09:52,390
+moment إيش بيساوي؟ الـ rate of change of angular
+
+103
+00:09:52,390 --> 00:09:58,050
+momentum اللي هي dH by dt، ما دام dH by dt بيساوي
+
+104
+00:09:58,050 --> 00:10:02,630
+صفر، اللي هي الـ moment، معناته الـ H يكون constant، فـ
+
+105
+00:10:02,630 --> 00:10:08,250
+under the action of central force بيكون عندي
+
+106
+00:10:08,250 --> 00:10:11,490
+conservation of angular momentum، وقوة جذب الأرض
+
+107
+00:10:11,490 --> 00:10:19,090
+للقمر الصناعي برضه قوة محافظة صح؟ يعني ليس فقط
+
+108
+00:10:19,090 --> 00:10:24,090
+مركزية، هي مركزية ومحافظة بمعنى أنه بتعتمدش على
+
+109
+00:10:24,090 --> 00:10:28,530
+المسار، الشغل المبذول ما بيعتمدش على المسار، ومثلاً في
+
+110
+00:10:28,530 --> 00:10:31,450
+الحالة دي بيكون في conservation of energy يعني
+
+111
+00:10:31,450 --> 00:10:34,850
+conservation of angular momentum أو conservation
+
+112
+00:10:34,850 --> 00:10:38,230
+of energy، conservation of angular momentum of
+
+113
+00:10:38,230 --> 00:10:41,410
+angular momentum يعني R × MV × sin Φ ≠
+
+114
+00:10:41,410 --> 00:10:44,190
+يساوي RMV sin Φ
+
+115
+00:10:45,870 --> 00:10:49,370
+وعندي conservation of mechanical energy، T نود زائد
+
+116
+00:10:49,370 --> 00:10:55,770
+V نود تساوي T زائد V، تشوفوا
+
+117
+00:10:55,770 --> 00:10:58,490
+مثال؟ طيب
+
+118
+00:11:17,180 --> 00:11:28,880
+عندي rod قضيب
+
+119
+00:11:28,880 --> 00:11:32,320
+colored مربوط بزمبرك
+
+120
+00:11:42,320 --> 00:11:46,300
+طبعاً قاعد في الوضع الرأسي، يعني الـ rod قائم هيك
+
+121
+00:11:46,300 --> 00:11:51,040
+مش أفقي، واضحة؟ الرأسي، الـ colored الوزن بتاع الـ
+
+122
+00:11:51,040 --> 00:11:55,840
+colored هذه W بيساوي
+
+123
+00:11:55,840 --> 00:12:00,820
+عشرون pound slides
+
+124
+00:12:00,820 --> 00:12:05,280
+without friction ينزلق على الـ rod هذا بدون احتكاك
+
+125
+00:12:05,280 --> 00:12:08,360
+يعني عندي no friction
+
+126
+00:12:25,210 --> 00:12:31,330
+الطول الزنبرك هو مفكوك، يعني الـ undeflected يعني
+
+127
+00:12:31,330 --> 00:12:37,990
+المرتخي أربعة إنش، يعني الـ node أربعة
+
+128
+00:12:37,990 --> 00:12:47,860
+إنش، والـ K بتاعته ثلاثة pound لكل إنش، لو حولناه لـ
+
+129
+00:12:47,860 --> 00:12:52,880
+pound per قدم، حضر وفاقه كان في اثني عشر يعني هتكون
+
+130
+00:12:52,880 --> 00:13:03,140
+ستة وثلاثين pound لكل قدم، منطقي الـ foot أكبر من
+
+131
+00:13:03,140 --> 00:13:08,960
+الـ inch، معناته إذا بشد أكثر هتصير الـ force هتزيد، طيب
+
+132
+00:13:11,770 --> 00:13:14,650
+if the color is released from rest at position
+
+133
+00:13:14,650 --> 00:13:21,330
+one، هذا position one، تم إطلاقه كان مسكوك، وأطلق
+
+134
+00:13:21,330 --> 00:13:25,250
+من حالة السكون، determine its velocity after it has
+
+135
+00:13:25,250 --> 00:13:30,250
+moved to moved six inch to position two، أوجد
+
+136
+00:13:30,250 --> 00:13:34,270
+سرعتها عند position two، high position two
+
+137
+00:13:43,160 --> 00:13:50,380
+هذا position اثنين، والمسافة بين one و two ستة
+
+138
+00:13:50,380 --> 00:13:55,500
+إنش، أه
+
+139
+00:13:55,500 --> 00:14:02,600
+ثواني بس..بس ثواني أه
+
+140
+00:14:02,600 --> 00:14:08,400
+بيسمع عشان
+
+141
+00:14:08,400 --> 00:14:11,120
+أقول لكم، لا مضربناش
+
+142
+00:14:14,380 --> 00:14:25,900
+أنتم هنا الـ K بتساوي ثلاثة pound لكل inch صح؟ يعني
+
+143
+00:14:25,900 --> 00:14:34,640
+ثلاثة pound، الـ inch شو بيساوي؟ واحد على اثني عشر قدم
+
+144
+00:14:34,640 --> 00:14:44,810
+صح؟ هي بعدين أنتم عشان تتأكدوا أرقامكم صح، أنا ما رضيتش
+
+145
+00:14:44,810 --> 00:14:48,210
+أحكي الـ math، حكيت الـ physics بتاعتها، الـ physics
+
+146
+00:14:48,210 --> 00:14:53,330
+بتاعتها، إذا هو بسحبه ثلاثة inch، إذا..يعني إذا هو
+
+147
+00:14:53,330 --> 00:14:59,130
+بيعطيني قوة قيمتها ثلاثة pound لكل inch، إذا بسحبه
+
+148
+00:14:59,130 --> 00:15:05,390
+أكثر هيعطيني force أكثر صح؟ معناته المفروض أضرب
+
+149
+00:15:05,390 --> 00:15:12,540
+عشان أجيب لكل..لكل foot، بمنطق الـ physics والـ
+
+150
+00:15:12,540 --> 00:15:20,920
+physics بتتعارض مع الرياضيات ما بتتعارض، طيب
+
+151
+00:15:20,920 --> 00:15:27,420
+الآن الجسم، طبعاً ما فيش احتكاك، الجسم طوال فترة
+
+152
+00:15:27,420 --> 00:15:30,360
+تحركه من واحد لـاثنين، إيش القوة اللي بتأثر عليه؟
+
+153
+00:15:30,360 --> 00:15:35,380
+الزنبرك والوزن، زنبرك والوزن بس، إيش الإسم؟
+
+154
+00:15:35,380 --> 00:15:39,840
+إبراهيم، إبراهيم إيش؟ إبراهيم خليل، خلة خلة
+
+155
+00:15:39,840 --> 00:15:45,380
+إبراهيم خليل، طول فترة من واحد لـاثنين تحت تأثير الوزن
+
+156
+00:15:45,380 --> 00:15:50,960
+والزنبرك، الـ..الـ..الـ spring force والـ weight
+
+157
+00:15:50,960 --> 00:15:53,840
+conservative forces ولا non conservative
+
+158
+00:15:53,840 --> 00:16:01,580
+conservative، ليش؟ لأنه الـ work done من واحد لـاثنين
+
+159
+00:16:01,580 --> 00:16:03,960
+بيعتمد على البداية والنهاية، بيعتمدش على المسار
+
+160
+00:16:03,960 --> 00:16:07,260
+معناته all forces
+
+161
+00:16:10,770 --> 00:16:14,910
+All forces are
+
+162
+00:16:14,910 --> 00:16:23,030
+conservative صح؟
+
+163
+00:16:23,030 --> 00:16:33,990
+معناته T واحد زائد V واحد تساوي T اثنين زائد V اثنين
+
+164
+00:16:33,990 --> 00:16:40,300
+طيب it is released from rest صح؟ من البداية، T1 مش
+
+165
+00:16:40,300 --> 00:16:44,620
+بيساوي طيب
+
+166
+00:16:44,620 --> 00:16:51,680
+V1، بدي أعتبر الـ reference هذا الـ reference هذا
+
+167
+00:16:51,680 --> 00:16:57,440
+الـ data أو الـ reference، V1
+
+168
+00:16:57,440 --> 00:17:02,820
+هيكون عندي V due to الوزن، VG1 زائد V due to spring، V
+
+169
+00:17:02,820 --> 00:17:11,880
+elastic 1 صح؟ مظبوط، VG1 مش بيساوي ارتفاعها عند الـ
+
+170
+00:17:11,880 --> 00:17:22,340
+reference صفر هيساوي صفر زائد V elastic واحد، نص K X
+
+171
+00:17:22,340 --> 00:17:31,080
+واحد تربيع، طيب X واحد شو بيساوي أحمد؟
+
+172
+00:17:31,080 --> 00:17:36,600
+ثمانية ناقص أربعة، أربعة بالضبط، X واحد بيساوي L واحد
+
+173
+00:17:36,600 --> 00:17:43,210
+ناقص L node صح؟ اللي هي ثمانية ناقص أربعة، أربعة
+
+174
+00:17:43,210 --> 00:17:52,070
+إنش، يعني كم قدم؟ ثلث قدم، ثلث
+
+175
+00:17:52,070 --> 00:17:58,330
+قدم، هذا X واحد، يعني
+
+176
+00:17:58,330 --> 00:18:07,170
+هتكون V واحد نص في الـ K اللي هي ستة وثلاثين في الـ X
+
+177
+00:18:07,170 --> 00:18:15,650
+واحد تربيع اللي هو ثلث تربيع يعني أربعة على اثنين
+
+178
+00:18:15,650 --> 00:18:21,610
+عشر، اثنين
+
+179
+00:
+
+223
+00:24:03,230 --> 00:24:05,510
+الظروف الاكسلاش كانت اتنين ونص قدم على تانى
+
+224
+00:24:05,510 --> 00:24:11,150
+تربيع والسرعة تمانية قدم لكل ثانية. ادرس الحالة مرة
+
+225
+00:24:11,150 --> 00:24:15,030
+هو الصعود اللي درسناها، ادرسه في حالة الهبوط واعمل
+
+226
+00:24:15,030 --> 00:24:18,550
+optimize قيمة طبعا، الـ counter weight هتكون متغيرة
+
+227
+00:24:18,550 --> 00:24:22,190
+optimize قيمة الـ counter weight
+
+228
+00:24:24,900 --> 00:24:35,960
+هذا حلو يدوي، زاد Adams وهذا بيكون ايش اليوم؟ السبت
+
+229
+00:24:35,960 --> 00:24:41,180
+التنين التنين
+
+230
+00:24:41,180 --> 00:24:48,320
+اللي هو عشرين، تلاتة ألف وتلاتة وعشرين
+
+231
+00:24:55,820 --> 00:25:05,600
+الاربع، سامع الاربع؟ هاي اتنين وعشرين، تلاتة وعشرين
+
+232
+00:25:05,600 --> 00:25:10,140
+تلاتة وعشرين، مش
+
+233
+00:25:10,140 --> 00:25:16,840
+هنزلك انت، عبدالكريم، طيب
+
+234
+00:25:16,840 --> 00:25:21,380
+طيب
+
+235
+00:25:21,380 --> 00:25:22,640
+في عندنا
+
+236
+00:25:54,170 --> 00:26:06,210
+في عندي pellet، كتلة الوزن بتاع الـ W، نص pound is
+
+237
+00:26:06,210 --> 00:26:08,710
+pushed against the spring and released from rest
+
+238
+00:26:08,710 --> 00:26:15,250
+هتضغطها، مضغوط، ضغط على زمبرك، بعدين سبته، بعدين
+
+239
+00:26:15,250 --> 00:26:20,770
+released from rest يعني انت عند A، T عند A ايش؟
+
+240
+00:26:20,770 --> 00:26:22,850
+بالساوي صفر
+
+241
+00:26:24,360 --> 00:26:38,400
+released from rest, neglecting friction، مافي
+
+242
+00:26:38,400 --> 00:26:43,400
+احتكاك، determine the
+
+243
+00:26:43,400 --> 00:26:46,340
+smallest deflection of the spring for which the
+
+244
+00:26:46,340 --> 00:26:48,700
+pellet will travel around the loop and remain in
+
+245
+00:26:48,700 --> 00:26:53,310
+contact with the loop all the time. الان انا ضغط
+
+246
+00:26:53,310 --> 00:26:59,790
+زمبرك مسافة معينة X، يعني هو قبل الانضغاط كان مثلا
+
+247
+00:26:59,790 --> 00:27:14,270
+هنا انضغط مسافة ايش X، المطلوب ده تحسب قيمة X بحيث
+
+248
+00:27:14,270 --> 00:27:20,640
+ان الكتلة هتبقى ماشية ماشية وتظل تكون ملامسة، لا تصل
+
+249
+00:27:20,640 --> 00:27:28,280
+هنا، وتنزل هنا، او تصل هنا، وتنزل هنا، او
+
+250
+00:27:28,280 --> 00:27:33,760
+تصل هنا وتنزل هنا، او
+
+251
+00:27:33,760 --> 00:27:34,200
+تصل هنا وتنزل هنا، او تصل هنا وتنزل هنا، او تصل هنا
+
+252
+00:27:34,200 --> 00:27:36,020
+وتنزل هنا، او تصل هنا وتنزل هنا، او تصل هنا وتنزل
+
+253
+00:27:36,020 --> 00:27:36,420
+هنا تنزل هنا تنزل هنا تنزل هنا تنزل هنا تنزل
+
+254
+00:27:36,420 --> 00:27:43,060
+هنا تنزل هنا تنزل هنا تنزل هنا تنزل هنا تنزل
+
+255
+00:27:53,780 --> 00:27:59,680
+وفي ايه؟
+
+256
+00:27:59,680 --> 00:28:07,840
+وفي ايش؟ ايه؟ كيف انا هضمن ان انا هضلها ملامسة
+
+257
+00:28:07,840 --> 00:28:13,660
+عند ايش؟
+
+258
+00:28:13,660 --> 00:28:20,200
+في normal force ولا فيش؟ طيب، يعني اذا في normal
+
+259
+00:28:20,200 --> 00:28:23,340
+force، معناته فيه ملامسة، اذا فيش normal force
+
+260
+00:28:25,960 --> 00:28:33,240
+هيصير سقوط لها صح؟ طيب، طب افرض في عندي normal force
+
+261
+00:28:33,240 --> 00:28:38,020
+ايه قيمتها هنا؟ يعني انا هاخد الـ free pentagram
+
+262
+00:28:38,020 --> 00:28:42,980
+عندي صح؟ الـ free pentagram عندي، اول شي الـ free
+
+263
+00:28:42,980 --> 00:28:47,160
+pentagram at
+
+264
+00:28:47,160 --> 00:28:57,430
+D، ايش الاسم الاخر؟ باسم باسل نصر، باسل، يعني هاي
+
+265
+00:28:57,430 --> 00:29:02,810
+الجسم عندي ايش؟
+
+266
+00:29:02,810 --> 00:29:09,690
+بيأثر عليه الوزن
+
+267
+00:29:09,690 --> 00:29:17,410
+الوزن وفي normal force، هذا
+
+268
+00:29:17,410 --> 00:29:17,990
+حساوي
+
+269
+00:29:32,080 --> 00:29:36,440
+الجسم بتضغط على ايش؟ على الـ track الأعلى، بقى الـ
+
+270
+00:29:36,440 --> 00:29:45,140
+track بتضغط لأسفل، لأن لأسفل
+
+271
+00:29:45,140 --> 00:29:48,840
+طيب
+
+272
+00:29:48,840 --> 00:30:01,890
+حكوني دي نص، او عندي M، M، Anormal، طيب مافيش تاني
+
+273
+00:30:01,890 --> 00:30:07,730
+مافيش فريكشن، معناته اذا .. اذا الجسم بتغطي على الـ
+
+274
+00:30:07,730 --> 00:30:14,410
+track لاعلى، مظبوط؟ معناته هو بتغطي الـ force لاعلى
+
+275
+00:30:14,410 --> 00:30:16,550
+معناته الـ track بتضغط عليه لتحت
+
+276
+00:30:20,830 --> 00:30:28,070
+معناته اللي هيقوم السقوط الـ inertia force، الـ
+
+277
+00:30:28,070 --> 00:30:35,410
+inertia force، صح؟ معناته لو حكيت هاي الـ .. هاي الـ
+
+278
+00:30:35,410 --> 00:30:38,870
+X وهاي
+
+279
+00:30:38,870 --> 00:30:48,610
+الـ Y، summation لل forces، لل FY، بالثوام، A normal
+
+280
+00:30:48,610 --> 00:30:50,110
+يعني
+
+281
+00:30:53,620 --> 00:30:59,820
+هذه اتجاه الموجب، هذه plus، عشان انا ماعملش minus
+
+282
+00:30:59,820 --> 00:31:04,280
+يعني هيكون W، W
+
+283
+00:31:04,280 --> 00:31:17,260
+زائد N، بسوء M A normal، هي W على G في A normal، طيب
+
+284
+00:31:17,260 --> 00:31:22,380
+A normal ايش بتساوي؟ A normal، VD
+
+285
+00:31:24,420 --> 00:31:33,360
+تربية على رو، يعني في V دي تربية على
+
+286
+00:31:33,360 --> 00:31:44,160
+رو، معناته الـ N، الـ
+
+287
+00:31:44,160 --> 00:31:48,800
+N هتكون تستاوي الـ
+
+288
+00:31:48,800 --> 00:31:51,720
+W في
+
+289
+00:31:53,350 --> 00:32:00,970
+VD تربيع على رو في G، minus
+
+290
+00:32:00,970 --> 00:32:06,710
+واحد، طب
+
+291
+00:32:06,710 --> 00:32:19,290
+هذا هو المعادلة السرعة
+
+292
+00:32:19,290 --> 00:32:24,130
+في اللحظة ايه؟ ايش هي تكون تجاهها؟ سرعة، هتكون هيك
+
+293
+00:32:24,130 --> 00:32:39,710
+اتجاهها، صح؟ هذه VD، وهذه VC، وهذه VE
+
+294
+00:32:39,710 --> 00:32:46,690
+ماشي بالدائرة في ريب الدياجرام عند E، بس عشان توضح
+
+295
+00:32:46,690 --> 00:32:49,850
+الشغل، بالدائرة في ريب الدياجرام عند E، انا بحاول
+
+296
+00:32:49,850 --> 00:32:53,500
+ما بديش اعطي اجابات، بس بدي اعطيكم اتفكروا، لان انا بدي
+
+297
+00:32:53,500 --> 00:32:57,060
+اقعد عند E، بحط free body diagram عند E، free body
+
+298
+00:32:57,060 --> 00:33:10,880
+diagram at E، هيكون هي الجسم، في الوزن، وفي
+
+299
+00:33:10,880 --> 00:33:14,480
+normal
+
+300
+00:33:14,480 --> 00:33:15,320
+force
+
+301
+00:33:31,990 --> 00:33:46,770
+هكون عنده M tangential و M anormal، يعني
+
+302
+00:33:46,770 --> 00:34:00,170
+هكون عنده الـ N عند E بيساوي W على G في VE على
+
+303
+00:34:03,930 --> 00:34:11,070
+على V square على R، صح؟ يعني الـ normal كل نقطة
+
+304
+00:34:11,070 --> 00:34:19,350
+بيساوي بعض، صح؟ بيساوي هاد
+
+305
+00:34:19,350 --> 00:34:23,410
+الـ normal force، فدكتور، يعني الـ normal كل position
+
+306
+00:34:23,410 --> 00:34:27,480
+كل نفس بعض، ولو نختلف، تختلف... تختلف عن السرعة...
+
+307
+00:34:27,480 --> 00:34:39,860
+تختلف عن السرعة، يعني VD غير عن VE، طيب فانا
+
+308
+00:34:39,860 --> 00:34:46,160
+هاخد وانتوا يقولولي، انا هالكوح وقرروا انتوا، هاخد
+
+309
+00:34:46,160 --> 00:34:51,080
+بين A وD اللي هي Conservation of Mechanical
+
+310
+00:34:51,080 --> 00:35:01,260
+Energy، او بين AوE، قرروا هل هي نقطة A ولا نقطة
+
+311
+00:35:01,260 --> 00:35:10,720
+D، لو بدي اخذ بين A وD، هحكي TA زائد VA، ساوية TD
+
+312
+00:35:10,720 --> 00:35:26,760
+زائد VD، TA هتكون صفر، زائد VA، نص KX تربيع، سواء TD
+
+313
+00:35:26,760 --> 00:35:35,580
+اللي هي نص، اللي هي W على G، VD تربيع زائد VD اللي
+
+314
+00:35:35,580 --> 00:35:46,200
+هي اتنين رو في W، صح؟ او
+
+315
+00:35:46,200 --> 00:35:50,020
+TA
+
+316
+00:35:50,020 --> 00:36:03,750
+زائد VA، بالساوية TE زائد VE، يعني هتكون عندي نص KX
+
+317
+00:36:03,750 --> 00:36:20,830
+تربيع، بالساوية نص W على G، VE تربيع زائد رو في W
+
+318
+00:36:20,830 --> 00:36:23,910
+اللي هو المطلوب انك
+
+319
+00:36:30,500 --> 00:36:36,740
+Decide what conditions
+
+320
+00:36:36,740 --> 00:36:42,600
+should
+
+321
+00:36:42,600 --> 00:36:49,560
+be to
+
+322
+00:36:49,560 --> 00:36:55,360
+assure that
+
+323
+00:36:57,530 --> 00:37:03,490
+the pellet is
+
+324
+00:37:03,490 --> 00:37:06,950
+always
+
+325
+00:37:06,950 --> 00:37:14,210
+في
+
+326
+00:37:14,210 --> 00:37:21,230
+contact، يعني is always، ممكن احكي جمع الكلمة، just in
+
+327
+00:37:21,230 --> 00:37:21,810
+contact
+
+328
+00:37:26,360 --> 00:37:31,660
+all the time
+
+329
+00:37:31,660 --> 00:37:35,420
+هيك
+
+330
+00:37:35,420 --> 00:37:39,180
+يكون خلصنا المحاضرة، المحاضرة، جاب يجاوبين على
+
+331
+00:37:39,180 --> 00:37:45,000
+السؤال هذا، يعني احنا بدنا نختار الـ condition، اذا
+
+332
+00:37:45,000 --> 00:37:48,780
+فهمت الـ physics تاعة المسألة، بيصير شغل بحسابات، سهل
+
+333
+00:37:48,780 --> 00:37:51,420
+الأمور، نشاطي كل عام
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/9xtGNdjIEG8_raw.json b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/9xtGNdjIEG8_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..8bdad1062a1bc18346418d2cb2d3ac75c9e638b2
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/9xtGNdjIEG8_raw.json
@@ -0,0 +1 @@
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"end": 723.16, "word": " هذا", "probability": 0.5791015625}, {"start": 723.16, "end": 724.38, "word": " بدون", "probability": 0.99609375}, {"start": 724.38, "end": 725.28, "word": " احتكاك", "probability": 0.9740234375}, {"start": 725.28, "end": 726.54, "word": " يعني", "probability": 0.972900390625}, {"start": 726.54, "end": 726.82, "word": " عندي", "probability": 0.85546875}, {"start": 726.82, "end": 727.9, "word": " no", "probability": 0.86181640625}, {"start": 727.9, "end": 728.36, "word": " friction", "probability": 0.98779296875}], "temperature": 1.0}, {"id": 27, "seek": 76331, "start": 745.21, "end": 763.31, "text": "الطول الزنبارك هو مفكوك يعني ال undeflected يعني المرتخق أربعة إنش يعني ال node أربعة إنش وال K بتاعته تلاتة pound", "tokens": [6027, 9566, 12610, 6024, 110, 1863, 3555, 9640, 4117, 31439, 3714, 5172, 4117, 2407, 4117, 37495, 22653, 2423, 674, 5666, 1809, 292, 37495, 22653, 9673, 43500, 9778, 4587, 5551, 25513, 27884, 36145, 8592, 37495, 22653, 2423, 9984, 5551, 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determine its velocity after it has moved to moved six inch to position two اوجد سرعتها عن position two high position two", "tokens": [351, 264, 48324, 307, 4736, 490, 1472, 412, 2535, 472, 8032, 28259, 2535, 472, 46811, 1975, 9566, 15040, 28671, 25961, 2655, 47524, 2407, 28671, 4032, 41193, 1211, 38149, 9154, 11331, 6027, 3660, 21136, 30544, 6997, 1080, 9269, 934, 309, 575, 4259, 281, 4259, 2309, 7227, 281, 2535, 732, 1975, 29245, 3215, 8608, 2288, 34268, 11296, 18871, 2535, 732, 1090, 2535, 732], "avg_logprob": -0.2198840761857648, "compression_ratio": 1.521505376344086, "no_speech_prob": 0.0, "words": [{"start": 791.77, "end": 792.11, "word": "if", "probability": 0.355224609375}, {"start": 792.11, "end": 792.37, "word": " the", "probability": 0.91796875}, {"start": 792.37, "end": 792.63, "word": " caller", "probability": 0.59814453125}, {"start": 792.63, "end": 792.83, "word": " is", "probability": 0.9580078125}, {"start": 792.83, "end": 793.25, "word": " released", "probability": 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{"start": 797.27, "end": 801.33, "word": " واطلقت", "probability": 0.851806640625}, {"start": 801.33, "end": 801.55, "word": " من", "probability": 0.97021484375}, {"start": 801.55, "end": 801.97, "word": " حالة", "probability": 0.9944661458333334}, {"start": 801.97, "end": 802.37, "word": " السكون", "probability": 0.935302734375}, {"start": 802.37, "end": 803.87, "word": " determine", "probability": 0.8916015625}, {"start": 803.87, "end": 804.17, "word": " its", "probability": 0.8525390625}, {"start": 804.17, "end": 804.49, "word": " velocity", "probability": 0.8544921875}, {"start": 804.49, "end": 804.81, "word": " after", "probability": 0.89404296875}, {"start": 804.81, "end": 804.99, "word": " it", "probability": 0.9609375}, {"start": 804.99, "end": 805.25, "word": " has", "probability": 0.8994140625}, {"start": 805.25, "end": 805.71, "word": " moved", "probability": 0.85693359375}, {"start": 805.71, "end": 806.35, "word": " to", "probability": 0.61572265625}, {"start": 806.35, 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0.9814453125}, {"start": 2203.08, "end": 2209.56, "word": " to", "probability": 0.97216796875}, {"start": 2209.56, "end": 2210.14, "word": " assure", "probability": 0.92041015625}, {"start": 2210.14, "end": 2215.36, "word": " that", "probability": 0.96142578125}], "temperature": 1.0}, {"id": 76, "seek": 224181, "start": 2217.53, "end": 2241.81, "text": "the billet is always بل كاد يعني is always ممكن احكي جمع الكلمة just in contact", "tokens": [3322, 2961, 302, 307, 1009, 4724, 1211, 9122, 18513, 37495, 22653, 307, 1009, 3714, 43020, 1975, 5016, 4117, 1829, 10874, 2304, 3615, 33251, 19528, 3660, 445, 294, 3385], "avg_logprob": -0.40544181034482757, "compression_ratio": 1.105263157894737, "no_speech_prob": 0.0, "words": [{"start": 2217.53, "end": 2217.83, "word": "the", "probability": 0.3046875}, {"start": 2217.83, "end": 2218.75, "word": " billet", "probability": 0.6116943359375}, {"start": 2218.75, "end": 2223.49, "word": " is", "probability": 0.93310546875}, {"start": 2223.49, "end": 2226.95, "word": " always", "probability": 0.94482421875}, {"start": 2226.95, "end": 2234.21, "word": " بل", "probability": 0.38507080078125}, {"start": 2234.21, "end": 2234.51, "word": " كاد", "probability": 0.6865234375}, {"start": 2234.51, "end": 2235.41, "word": " يعني", "probability": 0.82958984375}, {"start": 2235.41, "end": 2235.77, "word": " is", "probability": 0.53857421875}, {"start": 2235.77, "end": 2236.37, "word": " always", "probability": 0.91650390625}, {"start": 2236.37, "end": 2237.23, "word": " ممكن", "probability": 0.3853759765625}, {"start": 2237.23, "end": 2237.39, "word": " احكي", "probability": 0.792236328125}, {"start": 2237.39, "end": 2237.63, "word": " جمع", "probability": 0.7823893229166666}, {"start": 2237.63, "end": 2238.09, "word": " الكلمة", "probability": 0.8675130208333334}, {"start": 2238.09, "end": 2238.67, "word": " just", "probability": 0.8388671875}, {"start": 2238.67, "end": 2241.23, "word": " in", "probability": 0.71484375}, {"start": 2241.23, "end": 2241.81, "word": " contact", "probability": 0.9501953125}], "temperature": 1.0}, {"id": 77, "seek": 227142, "start": 2246.36, "end": 2271.42, "text": "all the times هيك يكون خلصنا المحاضرة، المحاضرة جاب يجاوبين على السؤال هذا، يعني احنا بدنا نختار ال condition، اذا فهمت ال physics تاعة المثلة بيصير شغل بحسبات، سهل الأمور، ناشطي كل عام", "tokens": [336, 264, 1413, 39896, 4117, 7251, 30544, 16490, 1211, 9381, 8315, 9673, 5016, 46958, 25720, 12399, 9673, 5016, 46958, 25720, 10874, 16758, 7251, 7435, 995, 37746, 9957, 15844, 21136, 33604, 6027, 23758, 12399, 37495, 22653, 1975, 5016, 8315, 47525, 8315, 8717, 46456, 9640, 2423, 4188, 12399, 1975, 15730, 6156, 16095, 2655, 2423, 10649, 6055, 995, 27884, 9673, 12984, 37977, 4724, 1829, 9381, 13546, 13412, 17082, 1211, 4724, 5016, 35457, 9307, 12399, 8608, 3224, 1211, 16247, 2304, 13063, 12399, 8717, 33599, 9566, 1829, 28242, 6225, 10943], "avg_logprob": -0.25890261281368343, "compression_ratio": 1.5320197044334976, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2246.36, "end": 2246.72, "word": "all", "probability": 0.55322265625}, {"start": 2246.72, "end": 2246.92, "word": " the", "probability": 0.9111328125}, {"start": 2246.92, "end": 2251.66, "word": " times", "probability": 0.91845703125}, {"start": 2251.66, "end": 2255.42, "word": " هيك", "probability": 0.542236328125}, {"start": 2255.42, "end": 2255.58, "word": " يكون", "probability": 0.695556640625}, {"start": 2255.58, "end": 2256.16, "word": " خلصنا", "probability": 0.985107421875}, {"start": 2256.16, "end": 2257.74, "word": " المحاضرة،", "probability": 0.86689453125}, {"start": 2257.74, "end": 2258.16, "word": " المحاضرة", "probability": 0.9190673828125}, {"start": 2258.16, "end": 2258.46, "word": " جاب", "probability": 0.684326171875}, {"start": 2258.46, "end": 2258.96, "word": " يجاوبين", "probability": 0.7408203125}, {"start": 2258.96, "end": 2259.18, "word": " على", "probability": 0.9501953125}, {"start": 2259.18, "end": 2260.08, "word": " السؤال", "probability": 0.9757486979166666}, {"start": 2260.08, "end": 2260.36, "word": " هذا،", "probability": 0.7412109375}, {"start": 2260.36, "end": 2260.48, "word": " يعني", "probability": 0.907470703125}, {"start": 2260.48, "end": 2260.74, "word": " احنا", "probability": 0.9313151041666666}, {"start": 2260.74, "end": 2262.1, "word": " بدنا", "probability": 0.9287109375}, {"start": 2262.1, "end": 2262.62, "word": " نختار", "probability": 0.9889322916666666}, {"start": 2262.62, "end": 2263.7, "word": " ال", "probability": 0.990234375}, {"start": 2263.7, "end": 2264.8, "word": " condition،", "probability": 0.7099609375}, {"start": 2264.8, "end": 2265.0, "word": " اذا", "probability": 0.860595703125}, {"start": 2265.0, "end": 2265.32, "word": " فهمت", "probability": 0.7881673177083334}, {"start": 2265.32, "end": 2265.42, "word": " ال", "probability": 0.95556640625}, {"start": 2265.42, "end": 2265.66, "word": " physics", "probability": 0.96923828125}, {"start": 2265.66, "end": 2265.88, "word": " تاعة", "probability": 0.41180419921875}, {"start": 2265.88, "end": 2266.26, "word": " المثلة", "probability": 0.8357747395833334}, {"start": 2266.26, "end": 2266.72, "word": " بيصير", "probability": 0.791259765625}, {"start": 2266.72, "end": 2267.18, "word": " شغل", "probability": 0.9915364583333334}, {"start": 2267.18, "end": 2268.28, "word": " بحسبات،", "probability": 0.7443359375}, {"start": 2268.28, "end": 2268.78, "word": " سهل", "probability": 0.9957682291666666}, {"start": 2268.78, "end": 2270.54, "word": " الأمور،", "probability": 0.8489990234375}, {"start": 2270.54, "end": 2270.96, "word": " ناشطي", "probability": 0.7154541015625}, {"start": 2270.96, "end": 2271.22, "word": " كل", "probability": 0.263671875}, {"start": 2271.22, "end": 2271.42, "word": " عام", "probability": 0.588623046875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2272.0725, "duration_after_vad": 2038.229374999993}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/A_u-pendqD8_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/A_u-pendqD8_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..04bbbae0ca5308bbdf3c098a33d7f01896546c36
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/A_u-pendqD8_postprocess.srt
@@ -0,0 +1,1344 @@
+1
+00:00:05,250 --> 00:00:08,130
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,130 --> 00:00:12,610
+وبركاته هنكمل في مادة الديناميكا احنا في ال
+
+3
+00:00:12,610 --> 00:00:16,650
+chapter kinematics of particles المارفة اتحكينا عن
+
+4
+00:00:16,650 --> 00:00:20,850
+ال projectile motion اليوم هنكمل هنحكي على ال
+
+5
+00:00:20,850 --> 00:00:24,530
+motion relative to a frame in translation الحركة
+
+6
+00:00:24,530 --> 00:00:31,230
+بالنسبة لمحاور متحركة فاندي زي ما انتوا شايفين
+
+7
+00:00:31,230 --> 00:00:33,550
+اندي المحاور
+
+8
+00:00:35,470 --> 00:00:40,490
+x small y small z small ومركزه O محاور ثابتة
+
+9
+00:00:40,490 --> 00:00:46,550
+تتحركش وفي عندي المحاور x prime y prime z prime
+
+10
+00:00:46,550 --> 00:00:50,830
+تتحرك بس في دوش في translation فيها وفي عندي
+
+11
+00:00:50,830 --> 00:00:58,870
+particle attached للمحاور x prime y prime z prime
+
+12
+00:00:58,870 --> 00:01:03,750
+موجود في مركزه particle Aوفي particle B في ال
+
+13
+00:01:03,750 --> 00:01:08,270
+space particle B في ال space لأن موقع A بالنسبة
+
+14
+00:01:08,270 --> 00:01:12,890
+لمحاور الثابتة اللي هي RA و موقع ال particle B
+
+15
+00:01:12,890 --> 00:01:20,500
+بالنسبة لمحاور الثابتة RB و موقع B بالنسبة لARBA
+
+16
+00:01:20,500 --> 00:01:26,060
+كفكتور ر بي هيكون سوء ر ايه ر بي ايه او ر بي ايه
+
+17
+00:01:26,060 --> 00:01:31,000
+بيستوى ر بي minus ر ايه يعني ر بي ايه هي ال
+
+18
+00:01:31,000 --> 00:01:38,040
+position of بي بالنسبة لا ايه طيب اذا بشتقل معادلة
+
+19
+00:01:38,040 --> 00:01:45,060
+بجيب الصراع VBبسوة VA زائد VB بالنسبة ل A و AB
+
+20
+00:01:45,060 --> 00:01:54,000
+بسوة AA زائد AB بالنسبة ل A نشوف مثال a
+
+21
+00:01:54,000 --> 00:02:03,260
+car is travelling east at a speed of 36 km per
+
+22
+00:02:03,260 --> 00:02:09,490
+hour عند السيارة Aماشية باتجاه الشرق بسرعة ستة و
+
+23
+00:02:09,490 --> 00:02:15,490
+تلاتين كيلومتر خانيا احكي هندي انا car
+
+24
+00:02:15,490 --> 00:02:19,570
+a و
+
+25
+00:02:19,570 --> 00:02:23,610
+car b car
+
+26
+00:02:23,610 --> 00:02:32,410
+a ماشية خانيا احط اولا محاور هحط انا هاي ال x axis
+
+27
+00:02:42,070 --> 00:02:51,630
+هذه ال Y-axis وهذا مركز الإحداثيات السيارة
+
+28
+00:02:51,630 --> 00:02:57,430
+A ماشية بسرعة منتظمة باتجاه الشرق يعني تجاه ال X
+
+29
+00:02:57,430 --> 00:03:04,290
+يعني هتكون V A لها مركبة بس باتجاه ال X اللي هي
+
+30
+00:03:04,290 --> 00:03:10,330
+أكملتها ستة وتلاتين خلنا نحولها ستة وتلاتين ستة
+
+31
+00:03:10,330 --> 00:03:19,750
+وتلاتينعال تلاتة point ستة meter per second عشان
+
+32
+00:03:19,750 --> 00:03:27,390
+احولها من kilometer كل ساعة لمتر في الثانية هنا
+
+33
+00:03:27,390 --> 00:03:31,690
+هتكون عشرة meter
+
+34
+00:03:31,690 --> 00:03:33,270
+per second
+
+35
+00:03:37,350 --> 00:03:43,870
+هتكون meter per second في اتجاه ال I صح؟ يعني
+
+36
+00:03:43,870 --> 00:03:53,130
+هتكون عشرة meter per second باتجاه ال I as
+
+37
+00:03:53,130 --> 00:03:59,570
+car A crosses the intersection الان car A في
+
+38
+00:03:59,570 --> 00:04:04,230
+اللحظة معينة كانت عند التقاطع التقاطع يعني إيش؟ ال
+
+39
+00:04:04,230 --> 00:04:13,470
+zero عند المركزيعني ر اه في ال initial ر اه كان في
+
+40
+00:04:13,470 --> 00:04:17,930
+البداية ر
+
+41
+00:04:17,930 --> 00:04:27,190
+اه نود كان zero صح؟ طيب as car a crosses the
+
+42
+00:04:27,190 --> 00:04:31,450
+intersection car b starts from rest thirty five
+
+43
+00:04:31,450 --> 00:04:37,480
+بدت من السكون thirty five meternorth of the
+
+44
+00:04:37,480 --> 00:04:46,920
+intersection يعني بي في البداية في
+
+45
+00:04:46,920 --> 00:04:55,480
+البداية كانت على بعد خمسة و تلاتين متر اتجاه ال Y
+
+46
+00:04:55,480 --> 00:05:00,980
+يعني ر
+
+47
+00:05:00,980 --> 00:05:13,230
+بي ندكانت خمسة و تلاتين متر في اتجاه الجهة صح و
+
+48
+00:05:13,230 --> 00:05:26,710
+VB node صفر بدأ من السكون and moves
+
+49
+00:05:26,710 --> 00:05:34,040
+south اتحرك لتحتwith a constant acceleration of
+
+50
+00:05:34,040 --> 00:05:39,560
+one point two meters per second تتصارع لأسفل a b
+
+51
+00:05:39,560 --> 00:05:43,020
+بالساوية
+
+52
+00:05:43,020 --> 00:05:48,440
+ناقص واحد point اتنين meter per second square
+
+53
+00:05:48,440 --> 00:05:54,640
+اتجاه الجهة صح؟ determine
+
+54
+00:05:54,640 --> 00:06:02,480
+the position velocity and accelerationof B
+
+55
+00:06:02,480 --> 00:06:07,020
+relative to A five second after A crosses the
+
+56
+00:06:07,020 --> 00:06:15,020
+intersection يعني at T equal five second مطلب نوجد
+
+57
+00:06:15,020 --> 00:06:28,700
+RB بالنسبة ل A و VB بالنسبة ل A و AB بالنسبة ل A
+
+58
+00:06:38,250 --> 00:06:45,850
+الان a نوع حركتها إيش على
+
+59
+00:06:45,850 --> 00:06:48,870
+خط مستقيم صحيح بس بتحرك بإيش بس ب uniform
+
+60
+00:06:48,870 --> 00:06:52,790
+acceleration ب uniform velocity صح؟ هنا عندي
+
+61
+00:06:52,790 --> 00:06:59,570
+uniform velocity
+
+62
+00:06:59,570 --> 00:07:03,170
+هنا
+
+63
+00:07:03,170 --> 00:07:06,470
+بيعني uniform
+
+64
+00:07:18,130 --> 00:07:24,510
+acceleration معناته عندي ال a a ايه في الساوية
+
+65
+00:07:24,510 --> 00:07:31,090
+zero دايما وال V a اللي هي عشر متر per second
+
+66
+00:07:31,090 --> 00:07:37,370
+اتجاه ال I معناته
+
+67
+00:07:37,370 --> 00:07:40,310
+هتكون في اتجاه ال X
+
+68
+00:07:46,440 --> 00:07:54,820
+ماشي بالساوية؟ X Anode زاد
+
+69
+00:07:54,820 --> 00:08:06,500
+Va اتجاه ال X في T X Anode اللي هو سفر زاد اللي هي
+
+70
+00:08:06,500 --> 00:08:13,390
+عشرةفي خمس ساكند يعني هتكون بعد خمس ساكند هتكون
+
+71
+00:08:13,390 --> 00:08:20,570
+خمسين متر ودايما ال y بتاعة a دايما ايه ايش
+
+72
+00:08:20,570 --> 00:08:30,110
+بالثورة صفر صح؟ مظبوط؟ و
+
+73
+00:08:30,110 --> 00:08:37,950
+ال ra بعد خمس ثورة هتكون xa باتجاه ال I زاد yaتجاه
+
+74
+00:08:37,950 --> 00:08:42,870
+ال J هتستوى ال XA عندي خمسين بالتجاه ال I و YA
+
+75
+00:08:42,870 --> 00:08:48,870
+هتستوى صفر بالنسبة ل B بتحرك بين form and
+
+76
+00:08:48,870 --> 00:08:56,790
+acceleration عندي YB ند قلتش بتعامل مع ال
+
+77
+00:08:56,790 --> 00:09:01,030
+component لان بتعامل مع كميات غير متجهة أسفة تعامل
+
+78
+00:09:01,030 --> 00:09:05,930
+YB ند بتستوى خمس تلاتين متر
+
+79
+00:09:07,640 --> 00:09:20,560
+و VB0 بساوية VB نض Y صفر و AB بساوية
+
+80
+00:09:20,560 --> 00:09:27,500
+ماينس واحد و اتنين متر per second square.معناته
+
+81
+00:09:27,500 --> 00:09:39,060
+هتكون دي YB بعد خمس ثانية هتكون ساوية YB نضزاد VBY
+
+82
+00:09:39,060 --> 00:09:51,460
+node في T زاد نص AB في اتجاه ال Y في T تربيه صح؟
+
+83
+00:09:51,460 --> 00:09:58,160
+YB node اللي هي خمس و تلاتين هذه هتكون ايه؟ صفر
+
+84
+00:09:58,160 --> 00:10:04,100
+ناقص نص واحد سالب Y انا هوضه سالب في واحد point
+
+85
+00:10:04,100 --> 00:10:11,840
+اتنينفي ال T أكم؟ خمسة تربيع يعني هتكون خمسة و
+
+86
+00:10:11,840 --> 00:10:16,620
+عشرين في one يعني
+
+87
+00:10:16,620 --> 00:10:21,060
+خمسة و عشرين في one ستة أكم؟
+
+88
+00:10:21,060 --> 00:10:27,780
+خمس تاش، خمس تاش، خمس تاش يعني YB هتكون خمس تاش
+
+89
+00:10:27,780 --> 00:10:33,040
+معناه تقول RB بعد خمس ثوانة
+
+90
+00:10:35,850 --> 00:10:45,570
+صارت خمستاش باتجاه ال J طيب
+
+91
+00:10:45,570 --> 00:10:59,710
+معناته ر بي بالنسبة لا إيه؟ ر بي minus ر إيه؟ ر بي
+
+92
+00:10:59,710 --> 00:11:01,350
+اللي هي خمستاش باتجاه ال J
+
+93
+00:11:05,290 --> 00:11:13,390
+-RA 50 باتجاه ال I يعني هتكون minus خمسين باتجاه
+
+94
+00:11:13,390 --> 00:11:21,630
+ال I زائد خمستاش باتجاه ال J اللي صار لما أخدت
+
+95
+00:11:21,630 --> 00:11:27,450
+الحركة ال .. ال .. ال .. في الخمستاش مضروف إلى خمس
+
+96
+00:11:27,450 --> 00:11:32,930
+تلاتين مضروح .. مضروح .. مضروح .. مضروح .. مضروح
+
+97
+00:11:34,420 --> 00:11:50,960
+يعني انا بتطلع هنا عشرين عشرين
+
+98
+00:11:50,960 --> 00:11:59,440
+لأن اي بعد خمس ثوانة مشي خمسين صار هنا صار هنا هذا
+
+99
+00:11:59,440 --> 00:12:12,030
+ايه صح؟و B بعد خمس ثانية عشرين صار هنا انا
+
+100
+00:12:12,030 --> 00:12:16,570
+بدي بي بالنسبة ل A معناته واحد جالس في السيارة A
+
+101
+00:12:16,570 --> 00:12:28,170
+هشوف بي هناك هشوف بي بهذا الاتجاه هشوف انه انه
+
+102
+00:12:28,170 --> 00:12:34,150
+وراه بخمسين اتجاه ال Xو أعلى منه بعشرين هيوه و
+
+103
+00:12:34,150 --> 00:12:38,490
+بتطلع بالنسبة هيو .. هيو رايح و وراها بخمسين و
+
+104
+00:12:38,490 --> 00:12:47,650
+أعلى منه بقى كام بعشرين لكن
+
+105
+00:12:47,650 --> 00:12:56,370
+واحد جالس في المركز يعني ثابت هشوف شي تاني هشوف
+
+106
+00:12:56,370 --> 00:13:02,640
+انه B أعلى منه بعشرين و هشوف A أمامه بخمسينفإيش
+
+107
+00:13:02,640 --> 00:13:11,040
+النسبة المختلفة؟ هذا بالنسبة لل RBA ال VBA بعد
+
+108
+00:13:11,040 --> 00:13:21,500
+خمس ثواني VB minus VA ال VB لا
+
+109
+00:13:21,500 --> 00:13:27,480
+ال V بعد خمس ثواني نحسبها صح حسبناها ال VBY
+
+110
+00:13:29,810 --> 00:13:42,510
+ستكون ساوية VBY node زائد ABY في T صح السفر ناقص
+
+111
+00:13:42,510 --> 00:13:47,510
+واحد point اتنين في
+
+112
+00:13:47,510 --> 00:13:57,170
+خمسة يعني ستكون الساوية ناقص ستة متر per second
+
+113
+00:13:58,230 --> 00:14:05,130
+يعني انا بحكي VB ك vector هتكون تساوي ناقص ستة
+
+114
+00:14:05,130 --> 00:14:09,930
+ناقص ستة باتجاه الجهة
+
+115
+00:14:09,930 --> 00:14:13,830
+يعني
+
+116
+00:14:13,830 --> 00:14:18,650
+هتكون VBA بيساوي VB minus VA minus ستة باتجاه
+
+117
+00:14:18,650 --> 00:14:24,970
+الجهة minus VA اللي هو minus عشرة باتجاه ال I يعني
+
+118
+00:14:24,970 --> 00:14:33,030
+هكون minus عشرةباتجاه ال I minus 6 باتجاه ال J
+
+119
+00:14:33,030 --> 00:14:37,030
+يعني
+
+120
+00:14:37,030 --> 00:14:46,050
+A ماشي بهذا الاتجاه و B ماشي بهذا الاتجاه معناته
+
+121
+00:14:46,050 --> 00:14:54,330
+هو هشوف الجسم B من هنا كأنه متحرك متحرك
+
+122
+00:15:00,580 --> 00:15:04,240
+ببعد عنه لإن هذا ما يحدث ان انا بمشي في هذا ببعد
+
+123
+00:15:04,240 --> 00:15:12,840
+عنه هيكون ناقص عشرة باتجاه ال I و بنزل ناقصت
+
+124
+00:15:12,840 --> 00:15:22,140
+باتجاه ال J لأن ال ABA هتساوي
+
+125
+00:15:22,140 --> 00:15:30,520
+ال AB مينس ال AA ال ABAاللي هي minus one point two
+
+126
+00:15:30,520 --> 00:15:40,240
+في اتجاه ال J minus صفر صح هتكون minus one point
+
+127
+00:15:40,240 --> 00:15:45,620
+two في اتجاه ال J فهو
+
+128
+00:15:45,620 --> 00:15:49,760
+هكون شايفه هو بتحرك على ال Y axis يعني فيش له
+
+129
+00:15:49,760 --> 00:15:54,460
+تسارة فيش له تسارة مابروحش لايمي ولا شمال هو بكون
+
+130
+00:15:54,460 --> 00:15:58,640
+شايفه بسرع بسرع يعني سرعته بتزيد هو نازل لتحت
+
+131
+00:16:02,950 --> 00:16:03,850
+في اي سؤال؟
+
+132
+00:16:47,780 --> 00:16:55,680
+الان هندرس حركة ال particles in 2D two dimension
+
+133
+00:16:55,680 --> 00:17:03,800
+على مصير منحني مبين عندي انا المحاور
+
+134
+00:17:03,800 --> 00:17:11,050
+الإحداثيات ال X و Y و O هي مركز الإحداثياتو في
+
+135
+00:17:11,050 --> 00:17:14,250
+particle بتحرك على هذا المصار بتحركش على خط مستقيم
+
+136
+00:17:14,250 --> 00:17:22,290
+بتحرك على منحنى الان المحاور
+
+137
+00:17:22,290 --> 00:17:27,870
+XY ثابتة انا ممكن احط محاور متحركة
+
+138
+00:17:27,870 --> 00:17:39,630
+و بتدور ممكن احط عن نقطة P محورين واحد tangential
+
+139
+00:17:41,910 --> 00:17:46,310
+و 1 عمودي ع ال congestion normal اي normal الان
+
+140
+00:17:46,310 --> 00:17:51,690
+هذا ال congestion الان هحط unit vector اللي هو
+
+141
+00:17:51,690 --> 00:17:58,070
+mass قيمته واحد و ال direction بتاعه مماس لايهش
+
+142
+00:17:58,070 --> 00:18:04,370
+للمنحنة NPA و unit vector ايه normal قيمته واحد
+
+143
+00:18:04,370 --> 00:18:10,620
+عمودي علىالملحنة يعني مع عمودي في النقطة هتبقى
+
+144
+00:18:10,620 --> 00:18:14,300
+مروف في مركز التكوير بتاعياش الملحنة عند النقطة P
+
+145
+00:18:14,300 --> 00:18:21,080
+إذا ال particle صار عند T prime الآن بطلت ال E T
+
+146
+00:18:21,080 --> 00:18:23,640
+نفسها، ضالت القيمة هي، ضالت ال E tangential قيمتها
+
+147
+00:18:23,640 --> 00:18:26,780
+هي واحد، بس ال direction بتاعه اختلف، معناه أتصار
+
+148
+00:18:26,780 --> 00:18:32,200
+إشي تاني، صار عند E tangential ال prime و E normal
+
+149
+00:18:32,200 --> 00:18:38,710
+prime لو أخدتنا اللي هو small incrementهتكون
+
+150
+00:18:38,710 --> 00:18:43,170
+الزاوية بين ال E tangential و E tangential prime
+
+151
+00:18:43,170 --> 00:18:48,070
+delta theta لو نقلت انا ال E tangential و E
+
+152
+00:18:48,070 --> 00:18:51,710
+tangential prime و حطيتهم النقطة افتراضية O prime
+
+153
+00:18:51,710 --> 00:18:56,790
+عندهين E tangential و E tangential prime delta
+
+154
+00:18:56,790 --> 00:19:03,370
+theta الانصار تغير في ال ET تغير نتيجة ايش؟ تغير
+
+155
+00:19:03,370 --> 00:19:07,940
+في القيمة او في الاتجاه؟ تغير في الاتجاهاللي هي
+
+156
+00:19:07,940 --> 00:19:16,360
+delta E tangential لحظة كل ما زغرت ال delta theta
+
+157
+00:19:16,360 --> 00:19:23,800
+كل ما صارت الزاوية بين delta E tangential وال E
+
+158
+00:19:23,800 --> 00:19:31,520
+tangential تقترب من ايه؟ Delta E tangentialكلما
+
+159
+00:19:31,520 --> 00:19:37,180
+delta theta قلت كلما كانت الزاوية بين delta E
+
+160
+00:19:37,180 --> 00:19:42,240
+tangential و E T تقترب من ايه؟ اتطلعوا اتطلعوا انا
+
+161
+00:19:42,240 --> 00:19:47,300
+زغر delta theta اتطلعوا شوفوا الشكل تطلعوش فيه 90
+
+162
+00:19:47,300 --> 00:19:51,920
+درجة كلما زغرت تقترب من هذه السفيرة متعامدة عليها
+
+163
+00:19:51,920 --> 00:19:54,460
+معناته ال direction بتاع delta E tangential
+
+164
+00:19:57,400 --> 00:20:00,820
+عند ال limit يقترب من اتجاه ال E normal ال E
+
+165
+00:20:00,820 --> 00:20:06,200
+normal هو عمود على ال E tangential صح؟ الآن خلّيني
+
+166
+00:20:06,200 --> 00:20:12,360
+احكي ال delta E tangential ايه بيستوى ال
+
+167
+00:20:12,360 --> 00:20:18,280
+delta E tangential ك vector بيستوى E tangential ال
+
+168
+00:20:18,280 --> 00:20:25,080
+prime هذا ال vector minus E tangential ك vector
+
+169
+00:20:27,130 --> 00:20:34,250
+قيمة اللي أخدت المثلثة ده ازاها
+
+170
+00:20:34,250 --> 00:20:40,390
+ده كم هتكون Delta theta على اتنين وها دي ازاها
+
+171
+00:20:40,390 --> 00:20:48,590
+هتكون تسعين درجة وها ده كم هتكون قيمتها Delta
+
+172
+00:20:48,590 --> 00:20:54,870
+E tangential على اتنين والمثلثة ده
+
+173
+00:20:58,230 --> 00:21:02,910
+قائم الزاوية صراحة ان دلتا تلتا على اتنين ماهو
+
+174
+00:21:02,910 --> 00:21:09,730
+الزاوية ساوية
+
+175
+00:21:09,730 --> 00:21:17,330
+دلتا ايه tangential على اتنين على ايه tangential
+
+176
+00:21:17,330 --> 00:21:23,050
+اللي هي اكم كمية اه ايش كمية انا بحكي values حاليا
+
+177
+00:21:23,050 --> 00:21:33,680
+واحددلتا اي تنجينشال على اتنين دلتا
+
+178
+00:21:33,680 --> 00:21:38,420
+اي تنجينشال على
+
+179
+00:21:38,420 --> 00:21:41,460
+دلتا
+
+180
+00:21:41,460 --> 00:21:43,080
+ثيتا
+
+181
+00:21:50,930 --> 00:21:54,770
+في ال limit يعني لو روحت هذه حكيت delta E
+
+182
+00:21:54,770 --> 00:21:58,590
+tangential بيستوى
+
+183
+00:21:58,590 --> 00:22:05,850
+اتنين sin delta theta على اتنين روحت قصمت الطرفين
+
+184
+00:22:05,850 --> 00:22:11,190
+على delta theta على
+
+185
+00:22:11,190 --> 00:22:17,390
+delta theta قصمت البصتين على اتنين والمقام على
+
+186
+00:22:17,390 --> 00:22:18,350
+اتنين بيصيرها دي
+
+187
+00:22:21,320 --> 00:22:29,000
+مظبوط خد ال limit as delta theta approaches zero
+
+188
+00:22:29,000 --> 00:22:39,440
+خد ال limit as delta theta approaches zero تطلع
+
+189
+00:22:39,440 --> 00:22:46,380
+ايش؟ واحد قيمته
+
+190
+00:22:46,380 --> 00:22:55,650
+صح؟ الآن لو بدى اخدها ك vectorك vector تطلع
+
+191
+00:22:55,650 --> 00:23:01,250
+واحد والاتجاه اللي حكيناه شويه بيكون ا normal واحد
+
+192
+00:23:01,250 --> 00:23:07,970
+في ال ا normal معناته دي بالساوية دي ا tangential
+
+193
+00:23:07,970 --> 00:23:14,150
+vector بقى دي theta يعني دي ا tangential vector
+
+194
+00:23:14,150 --> 00:23:24,150
+بقى دي theta بالساويةE normal ساوى E normal طيب لو
+
+195
+00:23:24,150 --> 00:23:25,910
+اخر مانا نفس الاشياء اللي احنا حكيها هي عند E
+
+196
+00:23:25,910 --> 00:23:34,910
+normal و هنا عند E normal ال prime و حطته جانب بعض
+
+197
+00:23:34,910 --> 00:23:40,170
+هي عند E normal
+
+198
+00:23:47,100 --> 00:23:54,420
+هذا e normal prime دلتا
+
+199
+00:23:54,420 --> 00:24:05,000
+e normal prime وهذا الزاوية دلتا ثتا كلما تصغر
+
+200
+00:24:05,000 --> 00:24:11,300
+دلتا ثتا كلما تصبح دلتا e normal عمودي على e
+
+201
+00:24:11,300 --> 00:24:16,040
+normalلحظوا الـ delta يعني بالـ limit بالـ limit
+
+202
+00:24:16,040 --> 00:24:21,240
+هتكون بعكس اتجاه ال a tangential بعكس اتجاه ال a
+
+203
+00:24:21,240 --> 00:24:28,820
+tangential معناته دي اي normal by دي ثيتا أشوى
+
+204
+00:24:28,820 --> 00:24:39,220
+الساوية minus a tangential طيب
+
+205
+00:24:48,530 --> 00:24:53,610
+طيب ال velocity دايما بتكون مماثل مصاد الحركة، صح؟
+
+206
+00:24:53,610 --> 00:24:56,770
+ال velocity دايما مماثل مصاد الحركة، بقى انا اتول
+
+207
+00:24:56,770 --> 00:25:02,190
+ال velocity في اي لحظة ال V ممكن احكي V قيمتها
+
+208
+00:25:02,190 --> 00:25:09,410
+باتجاه الاتنجينشال، صح؟
+
+209
+00:25:09,410 --> 00:25:14,550
+الان انا بحكي عن ال velocity ك vector دايما في
+
+210
+00:25:14,550 --> 00:25:21,120
+اتجاه الاتنجينشالوكميتها V لو بدى احصل اكسلاريشن A
+
+211
+00:25:21,120 --> 00:25:31,980
+بس هو DV على DT بس هو مستقلها DV على DT باتجاه ال
+
+212
+00:25:31,980 --> 00:25:39,920
+E tangential زائد V DE tangential ك vector by DT
+
+213
+00:25:39,920 --> 00:25:50,030
+يعني هذه هتكون DVby dt هذا بتعبر عن تغير في قيمة
+
+214
+00:25:50,030 --> 00:25:55,090
+السرعة تغير في قيمة السرعة باتجاه ال a tangential
+
+215
+00:25:55,090 --> 00:26:05,730
+زائد v هعمل التالت d a tangential by d theta و
+
+216
+00:26:05,730 --> 00:26:13,730
+فعلا دي هين هحكي d thetaهنا دي اس وهنا دي اس by دي
+
+217
+00:26:13,730 --> 00:26:20,650
+تي اختلف الشكل صح؟ هاي دي اس مع دي اس وهاي دي ثت
+
+218
+00:26:20,650 --> 00:26:27,650
+مع دي تي يعني صفة نفس هذه صح؟ يعني هتكون تساوي دي
+
+219
+00:26:27,650 --> 00:26:37,290
+V by دي تي اي tangential زائد V انا حاكي هنا دي اي
+
+220
+00:26:37,290 --> 00:26:44,040
+tangential by دي ثتاأولا دي اس و دي تاش هي سرعة
+
+221
+00:26:44,040 --> 00:26:57,380
+هذا V كيمة السرعة هتكون في V في دي ثيتا و دي اس
+
+222
+00:26:57,380 --> 00:27:06,200
+هذا ايه اللي حكيناه ايه normal ك vector انا
+
+223
+00:27:06,200 --> 00:27:07,100
+عزيزي عند curve
+
+224
+00:27:10,970 --> 00:27:17,850
+وهي مركز تكوّر هذا الزاوية ايش هذا ساميها DS صح في
+
+225
+00:27:17,850 --> 00:27:24,870
+الاركة ده والرد الساوي ايش رو و هذا الزاوية ايش D
+
+226
+00:27:24,870 --> 00:27:30,810
+ثتا معناته DS شو ساوي الزاوية
+
+227
+00:27:30,810 --> 00:27:46,610
+رو رو D ثتا معناته D ثتاعلى DS واحد على رو صح يعني
+
+228
+00:27:46,610 --> 00:27:58,130
+هذه هتصير ال A سوى DV by DT E tangential زاد V
+
+229
+00:27:58,130 --> 00:28:02,030
+square DS على D theta على DS اللي هي واحد على رو
+
+230
+00:28:02,030 --> 00:28:05,110
+في ال EN
+
+231
+00:28:09,570 --> 00:28:12,170
+معناته الاكسلاتش حكولها two components one
+
+232
+00:28:12,170 --> 00:28:18,450
+component tangential مماس مصالح حركة والكمبونت
+
+233
+00:28:18,450 --> 00:28:25,510
+تانية نور ماتتجاه النور ماتتجاه مركز التكوير الان
+
+234
+00:28:25,510 --> 00:28:29,030
+ال tangential component للاكسلاتش بتتعبئ عن التغير
+
+235
+00:28:29,030 --> 00:28:34,110
+في قيمة الصراع النور
+
+236
+00:28:34,110 --> 00:28:38,970
+component بتتعبئ عن التغيرفي اتجاه السرعة، ليش؟
+
+237
+00:28:38,970 --> 00:28:43,610
+إذا أنا عندي مروحة بتلف بسرعة منتظرة، سرعة المروحة
+
+238
+00:28:44,440 --> 00:28:48,080
+الثابتة باتغيرش لكن بيكون فيه قوة طرد مركزية في
+
+239
+00:28:48,080 --> 00:28:51,380
+acceleration nor direction معناته اللي كان اتغير
+
+240
+00:28:51,380 --> 00:28:54,740
+اذا اخدت particle بتلف المرحلة كان هي اتجاهين و
+
+241
+00:28:54,740 --> 00:28:57,040
+بعد شويه صارت تجاهين الان صورة ال particle ما
+
+242
+00:28:57,040 --> 00:29:00,820
+اتغيرت لكن اتغيرت الاتجاه معناته التغير في اتجاه
+
+243
+00:29:00,820 --> 00:29:04,780
+احدث ل acceleration او عجلة مركزية اللي هي هذه
+
+244
+00:29:04,780 --> 00:29:08,660
+معناته التنجيش ال component تعبر عن التغير في قيمة
+
+245
+00:29:08,660 --> 00:29:13,260
+السرعة ال nor component تعبر عن التغير في اتجاه
+
+246
+00:29:13,260 --> 00:29:17,870
+السرعةفحكي عندي ال two components هذه ال a
+
+247
+00:29:17,870 --> 00:29:25,970
+tangential دي v by دي t و ال a normal اللي هي v
+
+248
+00:29:25,970 --> 00:29:34,670
+square على رو في
+
+249
+00:29:34,670 --> 00:29:44,310
+ال 3D في
+
+250
+00:29:44,310 --> 00:29:44,710
+ال 3D
+
+251
+00:29:48,480 --> 00:29:57,200
+إذا كان عندى جسم بتتحرك على منحنى ب 3D هى
+
+252
+00:29:57,200 --> 00:30:03,980
+جسم بتتحرك على منحنى ب 3D انا عند لحظة معينة أخدت
+
+253
+00:30:03,980 --> 00:30:10,960
+اللى هو أخدت محاور إداثيات ال E tangential بماس لل
+
+254
+00:30:10,960 --> 00:30:18,690
+arc و ال E normal عمودي على ال curve أو ال arcو في
+
+255
+00:30:18,690 --> 00:30:22,250
+اللي هو ما يسمى by normal ال E B عمودي على ال E T
+
+256
+00:30:22,250 --> 00:30:27,250
+و ال E N عمودي على ال E T و ال E N اللي هو ال E B
+
+257
+00:30:27,250 --> 00:30:32,470
+هيكون ال cross product E T و ال E N بلف ال E T على
+
+258
+00:30:32,470 --> 00:30:37,970
+ال N بيعطينا ال direction تعيش ال E B الآن إذا
+
+259
+00:30:37,970 --> 00:30:43,850
+بيكون اتحرك ب 3D بيكون المستوى هذا بيكونش ثابت
+
+260
+00:30:43,850 --> 00:30:50,920
+المستوى هذا كنت مرجحمستوى الاكترارياش بيكون يتمرجح
+
+261
+00:30:50,920 --> 00:30:53,020
+بيسميه oscillatic plane لإن مثلا في لحظة معينة هاي
+
+262
+00:30:53,020 --> 00:30:57,060
+كانت اتجاه ال ET والاي normal بعد شوية ساعة صار
+
+263
+00:30:57,060 --> 00:31:01,120
+هاي اتجاهها بعد شوية ساعة صار زي هيك فبيكونش
+
+264
+00:31:01,120 --> 00:31:08,210
+المستوى المكوّن من ETو E normal بيكون oscillating
+
+265
+00:31:08,210 --> 00:31:13,170
+فبيسموه oscillating plane طبعا مافيش acceleration
+
+266
+00:31:13,170 --> 00:31:17,930
+في اتجاه ال by normal يعني دي بس two components لل
+
+267
+00:31:17,930 --> 00:31:21,210
+acceleration واحدة باتجاه tangential واحدة باتجاه
+
+268
+00:31:21,210 --> 00:31:24,650
+طيب انحل المثال
+
+269
+00:31:30,070 --> 00:31:34,650
+a motorist is traveling on a curved section of
+
+270
+00:31:34,650 --> 00:31:40,070
+highway at eighty-eight meters per second في عنده
+
+271
+00:31:40,070 --> 00:31:48,890
+سائق motorcycle ماشي على مدخل highway مدخل منحنة
+
+272
+00:31:48,890 --> 00:31:53,650
+منحنة أو دائرة مص كتر و ألفين و خمسمية متر مص كتر
+
+273
+00:31:53,650 --> 00:31:59,980
+و ألفين و خمسمية متركان ماشي بسرعة في لحظة معينة
+
+274
+00:31:59,980 --> 00:32:04,580
+كان ماشي بسرعة تمانية و تمانية متر per second the
+
+275
+00:32:04,580 --> 00:32:10,500
+motorist applies brakes causing a constant
+
+276
+00:32:10,500 --> 00:32:17,240
+sliterate لأن استخدم الكوابح السرعة هو بيلف السرعة
+
+277
+00:32:17,240 --> 00:32:20,720
+أشملها بتقل بتقل معناه تحكي فيه تغير في قيمة
+
+278
+00:32:20,720 --> 00:32:25,440
+السرعة و في تغير كمان في الاتجاه في تغير في الدنيا
+
+279
+00:32:25,440 --> 00:32:29,890
+في القيمة و في الاتجاهknowing that after eight
+
+280
+00:32:29,890 --> 00:32:34,310
+second the speed has been reduced to sixty six
+
+281
+00:32:34,310 --> 00:32:37,730
+meter per second قيمة السرعة كان في البداية V V ند
+
+282
+00:32:37,730 --> 00:32:50,790
+تمانية تمانين متر per second بعد T تمان ثوانة ال V
+
+283
+00:32:53,230 --> 00:33:00,630
+ستة ستين نزلت سرعة لستة ستين متر per second القيمة
+
+284
+00:33:00,630 --> 00:33:07,610
+تغيرت معناه ممكن اوجد tangential component يعني
+
+285
+00:33:07,610 --> 00:33:11,010
+ادرس الحركة باتجاه ال tangential دراس الحركة
+
+286
+00:33:11,010 --> 00:33:16,730
+باتجاه ال tangential يعني انا هايكون عنده V بيسوء
+
+287
+00:33:16,730 --> 00:33:27,470
+V node زائد A tangential في Tيعني هكون ستة و ستين
+
+288
+00:33:27,470 --> 00:33:33,890
+سوى التمانية و التمانين سائد a tangential في
+
+289
+00:33:33,890 --> 00:33:38,110
+تمانية يعني هكون ناقص اتنين و عشرين على تمانية
+
+290
+00:33:38,110 --> 00:33:43,570
+يعني ناقص احداش خمسة و نص اتنين بون سبعة خمسة صح
+
+291
+00:33:43,570 --> 00:33:51,770
+يعني a tangential اتنين بون سبعة خمسة meter per
+
+292
+00:33:51,770 --> 00:33:56,330
+second squareهذه التنجيل في ال component بتعبر عن
+
+293
+00:33:56,330 --> 00:34:03,550
+التغير في قيمة الصراع determine the acceleration
+
+294
+00:34:03,550 --> 00:34:12,310
+of the automobile سيارة immediately after the
+
+295
+00:34:12,310 --> 00:34:15,930
+brakes are applied أوجد قيمة ال acceleration
+
+296
+00:34:15,930 --> 00:34:19,850
+مباشرة بعد مستخدم الكوابعمباشرة بعد استخدام
+
+297
+00:34:19,850 --> 00:34:25,330
+الكوابع الان عشان .. مباشرة بعد استخدام الكوابع هل
+
+298
+00:34:25,330 --> 00:34:34,650
+اتغيرت السرعة؟ لأ معناته السرعة still اللي هي 88
+
+299
+00:34:34,650 --> 00:34:37,410
+معناته هحسب ال immediately بعد استخدام الكوابع
+
+300
+00:34:37,410 --> 00:34:44,690
+هتكون ال A normal so V square على رو V ريهية كم؟
+
+301
+00:34:44,690 --> 00:34:45,050
+88
+
+302
+00:34:48,020 --> 00:34:56,460
+في تمانية و تمانين على الفين و خمس مية اكتب تطلع
+
+303
+00:34:56,460 --> 00:35:05,760
+تلاتة
+
+304
+00:35:05,760 --> 00:35:14,340
+فاصلة سفر تسعة سبعة سبعة سبعة تسعة سبعة سبعة تسعة
+
+305
+00:35:14,340 --> 00:35:15,820
+سبعة سبعة تسعة سبعة تسعة سبعة تسعة سبعة تسعة سبعة
+
+306
+00:35:15,820 --> 00:35:16,900
+تسعة سبعة تسعة سبعة تسعة سبعة تسعة سبعة تسعة سبعة
+
+307
+00:35:16,900 --> 00:35:17,200
+تسعة سبعة تسعة سبعة تسعة سبعة تسعة سبعة تسعة سبعة
+
+308
+00:35:17,200 --> 00:35:20,830
+تسعة سبعة تسعة سبعة تسعةاللي هي meter per second
+
+309
+00:35:20,830 --> 00:35:25,570
+squared المعنى
+
+310
+00:35:25,570 --> 00:35:30,570
+أنه لو كانت السيارة .. هاي السيارة كانت .. هاي
+
+311
+00:35:30,570 --> 00:35:34,370
+الارك كانت
+
+312
+00:35:34,370 --> 00:35:39,810
+السيارة هنا في اللحظة هذه وهي المركز هكون فيه
+
+313
+00:35:39,810 --> 00:35:46,870
+normal component a normalوفي tangential component
+
+314
+00:35:46,870 --> 00:35:54,390
+بفرض هاي ال E tangential عنده وهي
+
+315
+00:35:54,390 --> 00:36:01,830
+ال E normal صح؟ لأن ال E tangential جاية عكس
+
+316
+00:36:01,830 --> 00:36:08,110
+الجاية بالسالب يعني هتكون هاي ال E tangential
+
+317
+00:36:17,670 --> 00:36:26,550
+معناته الأسلحة الكلية ال a هي ال a صح ال a قيمتها
+
+318
+00:36:26,550 --> 00:36:32,450
+هتكون جزر التربيع ل a tangential تربيع زي a normal
+
+319
+00:36:32,450 --> 00:36:42,830
+تربيع هتساوي جزر التربيع ل 2.75 تربيعزاد تلاتة
+
+320
+00:36:42,830 --> 00:36:53,310
+point سفر تسعة تمانية تربيع يعني هتطلع أكتر
+
+321
+00:36:53,310 --> 00:36:58,670
+بتطلع هتطلع
+
+322
+00:36:58,670 --> 00:37:04,210
+تلاتة point something صح او اربعة اربعة
+
+323
+00:37:06,080 --> 00:37:11,100
+point fourteen meter per second squared طيب ربنا
+
+324
+00:37:11,100 --> 00:37:19,060
+نحصل زاوية هذه theta theta
+
+325
+00:37:19,060 --> 00:37:28,300
+ايش هتساوي قيمتها ten inverse لا ايش ال a n a n ع
+
+326
+00:37:28,300 --> 00:37:33,100
+ال a tangential يعني
+
+327
+00:37:33,100 --> 00:37:39,490
+هتكون ten inverseاللي هي .. بيهمنيش الإشارات انا
+
+328
+00:37:39,490 --> 00:37:44,390
+بتطلع أي شي شايفه ما تحطليش موجة انا حاول تايب ثتا
+
+329
+00:37:44,390 --> 00:37:50,410
+ايش دخلني في الإشارة تان
+
+330
+00:37:50,410 --> 00:37:57,130
+انفرس هتكون تان انفرس انوار ما اللي هي تلاتة point
+
+331
+00:37:57,130 --> 00:38:03,850
+zero تسعة تمانية على اتنين point سبعة خمسةيعني
+
+332
+00:38:03,850 --> 00:38:12,590
+هتطلع أكتر من خمس و أربعين 48 point
+
+333
+00:38:12,590 --> 00:38:16,630
+four degrees
+
+334
+00:38:34,100 --> 00:38:39,680
+طب في اي سؤال؟ ال .. هيك و خلصنا محاضرة اليوم
+
+335
+00:38:39,680 --> 00:38:43,820
+الأربع ان شاء الله بنخلص ال chapter أحداشر السبع
+
+336
+00:38:43,820 --> 00:38:48,120
+لمتحان الأول تاكلوا العافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/A_u-pendqD8_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/A_u-pendqD8_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0175564a1a606bf396e6cf654426b80b9061a98e
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/A_u-pendqD8_raw.srt
@@ -0,0 +1,1352 @@
+1
+00:00:05,250 --> 00:00:08,130
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,130 --> 00:00:12,610
+وبركاته هنكمل في مادة الديناميكا احنا في ال
+
+3
+00:00:12,610 --> 00:00:16,650
+chapter kinematics of particles المارفة اتحكينا عن
+
+4
+00:00:16,650 --> 00:00:20,850
+ال projectile motion اليوم هنكمل هنحكي على ال
+
+5
+00:00:20,850 --> 00:00:24,530
+motion relative to a frame in translation الحركة
+
+6
+00:00:24,530 --> 00:00:31,230
+بالنسبة لمحاور متحركة فاندي زي ما انتوا شايفين
+
+7
+00:00:31,230 --> 00:00:33,550
+اندي المحاور
+
+8
+00:00:35,470 --> 00:00:40,490
+x small y small z small ومركزه O محاور ثابتة
+
+9
+00:00:40,490 --> 00:00:46,550
+تتحركش وفي عندي المحاور x prime y prime z prime
+
+10
+00:00:46,550 --> 00:00:50,830
+تتحرك بس في دوش في translation فيها وفي عندي
+
+11
+00:00:50,830 --> 00:00:58,870
+particle attached للمحاور x prime y prime z prime
+
+12
+00:00:58,870 --> 00:01:03,750
+موجود في مركزه particle Aوفي particle B في ال
+
+13
+00:01:03,750 --> 00:01:08,270
+space particle B في ال space لأن موقع A بالنسبة
+
+14
+00:01:08,270 --> 00:01:12,890
+لمحاور الثابتة اللي هي RA و موقع ال particle B
+
+15
+00:01:12,890 --> 00:01:20,500
+بالنسبة لمحاور الثابتة RB و موقع B بالنسبة لARBA
+
+16
+00:01:20,500 --> 00:01:26,060
+كفكتور ر بي هيكون سوء ر ايه ر بي ايه او ر بي ايه
+
+17
+00:01:26,060 --> 00:01:31,000
+بيستوى ر بي minus ر ايه يعني ر بي ايه هي ال
+
+18
+00:01:31,000 --> 00:01:38,040
+position of بي بالنسبة لا ايه طيب اذا بشتقل معادلة
+
+19
+00:01:38,040 --> 00:01:45,060
+بجيب الصراع VBبسوة VA زائد VB بالنسبة ل A و AB
+
+20
+00:01:45,060 --> 00:01:54,000
+بسوة AA زائد AB بالنسبة ل A نشوف مثال a
+
+21
+00:01:54,000 --> 00:02:03,260
+car is travelling east at a speed of 36 km per
+
+22
+00:02:03,260 --> 00:02:09,490
+hour عند السيارة Aماشية باتجاه الشرق بسرعة ستة و
+
+23
+00:02:09,490 --> 00:02:15,490
+تلاتين كيلومتر خانيا احكي هندي انا car
+
+24
+00:02:15,490 --> 00:02:19,570
+a و
+
+25
+00:02:19,570 --> 00:02:23,610
+car b car
+
+26
+00:02:23,610 --> 00:02:32,410
+a ماشية خانيا احط اولا محاور هحط انا هاي ال x axis
+
+27
+00:02:42,070 --> 00:02:51,630
+هذه ال Y-axis وهذا مركز الإحداثيات السيارة
+
+28
+00:02:51,630 --> 00:02:57,430
+A ماشية بسرعة منتظمة باتجاه الشرق يعني تجاه ال X
+
+29
+00:02:57,430 --> 00:03:04,290
+يعني هتكون V A لها مركبة بس باتجاه ال X اللي هي
+
+30
+00:03:04,290 --> 00:03:10,330
+أكملتها ستة وتلاتين خلنا نحولها ستة وتلاتين ستة
+
+31
+00:03:10,330 --> 00:03:19,750
+وتلاتينعال تلاتة point ستة meter per second عشان
+
+32
+00:03:19,750 --> 00:03:27,390
+احولها من kilometer كل ساعة لمتر في الثانية هنا
+
+33
+00:03:27,390 --> 00:03:31,690
+هتكون عشرة meter
+
+34
+00:03:31,690 --> 00:03:33,270
+per second
+
+35
+00:03:37,350 --> 00:03:43,870
+هتكون meter per second في اتجاه ال I صح؟ يعني
+
+36
+00:03:43,870 --> 00:03:53,130
+هتكون عشرة meter per second باتجاه ال I as
+
+37
+00:03:53,130 --> 00:03:59,570
+car A crosses the intersection الان car A في
+
+38
+00:03:59,570 --> 00:04:04,230
+اللحظة معينة كانت عند التقاطع التقاطع يعني إيش؟ ال
+
+39
+00:04:04,230 --> 00:04:13,470
+zero عند المركزيعني ر اه في ال initial ر اه كان في
+
+40
+00:04:13,470 --> 00:04:17,930
+البداية ر
+
+41
+00:04:17,930 --> 00:04:27,190
+اه نود كان zero صح؟ طيب as car a crosses the
+
+42
+00:04:27,190 --> 00:04:31,450
+intersection car b starts from rest thirty five
+
+43
+00:04:31,450 --> 00:04:37,480
+بدت من السكون thirty five meternorth of the
+
+44
+00:04:37,480 --> 00:04:46,920
+intersection يعني بي في البداية في
+
+45
+00:04:46,920 --> 00:04:55,480
+البداية كانت على بعد خمسة و تلاتين متر اتجاه ال Y
+
+46
+00:04:55,480 --> 00:05:00,980
+يعني ر
+
+47
+00:05:00,980 --> 00:05:13,230
+بي ندكانت خمسة و تلاتين متر في اتجاه الجهة صح و
+
+48
+00:05:13,230 --> 00:05:26,710
+VB node صفر بدأ من السكون and moves
+
+49
+00:05:26,710 --> 00:05:34,040
+south اتحرك لتحتwith a constant acceleration of
+
+50
+00:05:34,040 --> 00:05:39,560
+one point two meters per second تتصارع لأسفل a b
+
+51
+00:05:39,560 --> 00:05:43,020
+بالساوية
+
+52
+00:05:43,020 --> 00:05:48,440
+ناقص واحد point اتنين meter per second square
+
+53
+00:05:48,440 --> 00:05:54,640
+اتجاه الجهة صح؟ determine
+
+54
+00:05:54,640 --> 00:06:02,480
+the position velocity and accelerationof B
+
+55
+00:06:02,480 --> 00:06:07,020
+relative to A five second after A crosses the
+
+56
+00:06:07,020 --> 00:06:15,020
+intersection يعني at T equal five second مطلب نوجد
+
+57
+00:06:15,020 --> 00:06:28,700
+RB بالنسبة ل A و VB بالنسبة ل A و AB بالنسبة ل A
+
+58
+00:06:38,250 --> 00:06:45,850
+الان a نوع حركتها إيش على
+
+59
+00:06:45,850 --> 00:06:48,870
+خط مستقيم صحيح بس بتحرك بإيش بس ب uniform
+
+60
+00:06:48,870 --> 00:06:52,790
+acceleration ب uniform velocity صح؟ هنا عندي
+
+61
+00:06:52,790 --> 00:06:59,570
+uniform velocity
+
+62
+00:06:59,570 --> 00:07:03,170
+هنا
+
+63
+00:07:03,170 --> 00:07:06,470
+بيعني uniform
+
+64
+00:07:18,130 --> 00:07:24,510
+acceleration معناته عندي ال a a ايه في الساوية
+
+65
+00:07:24,510 --> 00:07:31,090
+zero دايما وال V a اللي هي عشر متر per second
+
+66
+00:07:31,090 --> 00:07:37,370
+اتجاه ال I معناته
+
+67
+00:07:37,370 --> 00:07:40,310
+هتكون في اتجاه ال X
+
+68
+00:07:46,440 --> 00:07:54,820
+ماشي بالساوية؟ X Anode زاد
+
+69
+00:07:54,820 --> 00:08:06,500
+Va اتجاه ال X في T X Anode اللي هو سفر زاد اللي هي
+
+70
+00:08:06,500 --> 00:08:13,390
+عشرةفي خمس ساكند يعني هتكون بعد خمس ساكند هتكون
+
+71
+00:08:13,390 --> 00:08:20,570
+خمسين متر ودايما ال y بتاعة a دايما ايه ايش
+
+72
+00:08:20,570 --> 00:08:30,110
+بالثورة صفر صح؟ مظبوط؟ و
+
+73
+00:08:30,110 --> 00:08:37,950
+ال ra بعد خمس ثورة هتكون xa باتجاه ال I زاد yaتجاه
+
+74
+00:08:37,950 --> 00:08:42,870
+ال J هتستوى ال XA عندي خمسين بالتجاه ال I و YA
+
+75
+00:08:42,870 --> 00:08:48,870
+هتستوى صفر بالنسبة ل B بتحرك بين form and
+
+76
+00:08:48,870 --> 00:08:56,790
+acceleration عندي YB ند قلتش بتعامل مع ال
+
+77
+00:08:56,790 --> 00:09:01,030
+component لان بتعامل مع كميات غير متجهة أسفة تعامل
+
+78
+00:09:01,030 --> 00:09:05,930
+YB ند بتستوى خمس تلاتين متر
+
+79
+00:09:07,640 --> 00:09:20,560
+و VB0 بساوية VB نض Y صفر و AB بساوية
+
+80
+00:09:20,560 --> 00:09:27,500
+ماينس واحد و اتنين متر per second square.معناته
+
+81
+00:09:27,500 --> 00:09:39,060
+هتكون دي YB بعد خمس ثانية هتكون ساوية YB نضزاد VBY
+
+82
+00:09:39,060 --> 00:09:51,460
+node في T زاد نص AB في اتجاه ال Y في T تربيه صح؟
+
+83
+00:09:51,460 --> 00:09:58,160
+YB node اللي هي خمس و تلاتين هذه هتكون ايه؟ صفر
+
+84
+00:09:58,160 --> 00:10:04,100
+ناقص نص واحد سالب Y انا هوضه سالب في واحد point
+
+85
+00:10:04,100 --> 00:10:11,840
+اتنينفي ال T أكم؟ خمسة تربيع يعني هتكون خمسة و
+
+86
+00:10:11,840 --> 00:10:16,620
+عشرين في one يعني
+
+87
+00:10:16,620 --> 00:10:21,060
+خمسة و عشرين في one ستة أكم؟
+
+88
+00:10:21,060 --> 00:10:27,780
+خمس تاش، خمس تاش، خمس تاش يعني YB هتكون خمس تاش
+
+89
+00:10:27,780 --> 00:10:33,040
+معناه تقول RB بعد خمس ثوانة
+
+90
+00:10:35,850 --> 00:10:45,570
+صارت خمستاش باتجاه ال J طيب
+
+91
+00:10:45,570 --> 00:10:59,710
+معناته ر بي بالنسبة لا إيه؟ ر بي minus ر إيه؟ ر بي
+
+92
+00:10:59,710 --> 00:11:01,350
+اللي هي خمستاش باتجاه ال J
+
+93
+00:11:05,290 --> 00:11:13,390
+-RA 50 باتجاه ال I يعني هتكون minus خمسين باتجاه
+
+94
+00:11:13,390 --> 00:11:21,630
+ال I زائد خمستاش باتجاه ال J اللي صار لما أخدت
+
+95
+00:11:21,630 --> 00:11:27,450
+الحركة ال .. ال .. ال .. في الخمستاش مضروف إلى خمس
+
+96
+00:11:27,450 --> 00:11:32,930
+تلاتين مضروح .. مضروح .. مضروح .. مضروح .. مضروح
+
+97
+00:11:34,420 --> 00:11:50,960
+يعني انا بتطلع هنا عشرين عشرين
+
+98
+00:11:50,960 --> 00:11:59,440
+لأن اي بعد خمس ثوانة مشي خمسين صار هنا صار هنا هذا
+
+99
+00:11:59,440 --> 00:12:12,030
+ايه صح؟و B بعد خمس ثانية عشرين صار هنا انا
+
+100
+00:12:12,030 --> 00:12:16,570
+بدي بي بالنسبة ل A معناته واحد جالس في السيارة A
+
+101
+00:12:16,570 --> 00:12:28,170
+هشوف بي هناك هشوف بي بهذا الاتجاه هشوف انه انه
+
+102
+00:12:28,170 --> 00:12:34,150
+وراه بخمسين اتجاه ال Xو أعلى منه بعشرين هيوه و
+
+103
+00:12:34,150 --> 00:12:38,490
+بتطلع بالنسبة هيو .. هيو رايح و وراها بخمسين و
+
+104
+00:12:38,490 --> 00:12:47,650
+أعلى منه بقى كام بعشرين لكن
+
+105
+00:12:47,650 --> 00:12:56,370
+واحد جالس في المركز يعني ثابت هشوف شي تاني هشوف
+
+106
+00:12:56,370 --> 00:13:02,640
+انه B أعلى منه بعشرين و هشوف A أمامه بخمسينفإيش
+
+107
+00:13:02,640 --> 00:13:11,040
+النسبة المختلفة؟ هذا بالنسبة لل RBA ال VBA بعد
+
+108
+00:13:11,040 --> 00:13:21,500
+خمس ثواني VB minus VA ال VB لا
+
+109
+00:13:21,500 --> 00:13:27,480
+ال V بعد خمس ثواني نحسبها صح حسبناها ال VBY
+
+110
+00:13:29,810 --> 00:13:42,510
+ستكون ساوية VBY node زائد ABY في T صح السفر ناقص
+
+111
+00:13:42,510 --> 00:13:47,510
+واحد point اتنين في
+
+112
+00:13:47,510 --> 00:13:57,170
+خمسة يعني ستكون الساوية ناقص ستة متر per second
+
+113
+00:13:58,230 --> 00:14:05,130
+يعني انا بحكي VB ك vector هتكون تساوي ناقص ستة
+
+114
+00:14:05,130 --> 00:14:09,930
+ناقص ستة باتجاه الجهة
+
+115
+00:14:09,930 --> 00:14:13,830
+يعني
+
+116
+00:14:13,830 --> 00:14:18,650
+هتكون VBA بيساوي VB minus VA minus ستة باتجاه
+
+117
+00:14:18,650 --> 00:14:24,970
+الجهة minus VA اللي هو minus عشرة باتجاه ال I يعني
+
+118
+00:14:24,970 --> 00:14:33,030
+هكون minus عشرةباتجاه ال I minus 6 باتجاه ال J
+
+119
+00:14:33,030 --> 00:14:37,030
+يعني
+
+120
+00:14:37,030 --> 00:14:46,050
+A ماشي بهذا الاتجاه و B ماشي بهذا الاتجاه معناته
+
+121
+00:14:46,050 --> 00:14:54,330
+هو هشوف الجسم B من هنا كأنه متحرك متحرك
+
+122
+00:15:00,580 --> 00:15:04,240
+ببعد عنه لإن هذا ما يحدث ان انا بمشي في هذا ببعد
+
+123
+00:15:04,240 --> 00:15:12,840
+عنه هيكون ناقص عشرة باتجاه ال I و بنزل ناقصت
+
+124
+00:15:12,840 --> 00:15:22,140
+باتجاه ال J لأن ال ABA هتساوي
+
+125
+00:15:22,140 --> 00:15:30,520
+ال AB مينس ال AA ال ABAاللي هي minus one point two
+
+126
+00:15:30,520 --> 00:15:40,240
+في اتجاه ال J minus صفر صح هتكون minus one point
+
+127
+00:15:40,240 --> 00:15:45,620
+two في اتجاه ال J فهو
+
+128
+00:15:45,620 --> 00:15:49,760
+هكون شايفه هو بتحرك على ال Y axis يعني فيش له
+
+129
+00:15:49,760 --> 00:15:54,460
+تسارة فيش له تسارة مابروحش لايمي ولا شمال هو بكون
+
+130
+00:15:54,460 --> 00:15:58,640
+شايفه بسرع بسرع يعني سرعته بتزيد هو نازل لتحت
+
+131
+00:16:02,950 --> 00:16:03,850
+في اي سؤال؟
+
+132
+00:16:47,780 --> 00:16:55,680
+الان هندرس حركة ال particles in 2D two dimension
+
+133
+00:16:55,680 --> 00:17:03,800
+على مصير منحني مبين عندي انا المحاور
+
+134
+00:17:03,800 --> 00:17:11,050
+الإحداثيات ال X و Y و O هي مركز الإحداثياتو في
+
+135
+00:17:11,050 --> 00:17:14,250
+particle بتحرك على هذا المصار بتحركش على خط مستقيم
+
+136
+00:17:14,250 --> 00:17:22,290
+بتحرك على منحنى الان المحاور
+
+137
+00:17:22,290 --> 00:17:27,870
+XY ثابتة انا ممكن احط محاور متحركة
+
+138
+00:17:27,870 --> 00:17:39,630
+و بتدور ممكن احط عن نقطة P محورين واحد tangential
+
+139
+00:17:41,910 --> 00:17:46,310
+و 1 عمودي ع ال congestion normal اي normal الان
+
+140
+00:17:46,310 --> 00:17:51,690
+هذا ال congestion الان هحط unit vector اللي هو
+
+141
+00:17:51,690 --> 00:17:58,070
+mass قيمته واحد و ال direction بتاعه مماس لايهش
+
+142
+00:17:58,070 --> 00:18:04,370
+للمنحنة NPA و unit vector ايه normal قيمته واحد
+
+143
+00:18:04,370 --> 00:18:10,620
+عمودي علىالملحنة يعني مع عمودي في النقطة هتبقى
+
+144
+00:18:10,620 --> 00:18:14,300
+مروف في مركز التكوير بتاعياش الملحنة عند النقطة P
+
+145
+00:18:14,300 --> 00:18:21,080
+إذا ال particle صار عند T prime الآن بطلت ال E T
+
+146
+00:18:21,080 --> 00:18:23,640
+نفسها، ضالت القيمة هي، ضالت ال E tangential قيمتها
+
+147
+00:18:23,640 --> 00:18:26,780
+هي واحد، بس ال direction بتاعه اختلف، معناه أتصار
+
+148
+00:18:26,780 --> 00:18:32,200
+إشي تاني، صار عند E tangential ال prime و E normal
+
+149
+00:18:32,200 --> 00:18:38,710
+prime لو أخدتنا اللي هو small incrementهتكون
+
+150
+00:18:38,710 --> 00:18:43,170
+الزاوية بين ال E tangential و E tangential prime
+
+151
+00:18:43,170 --> 00:18:48,070
+delta theta لو نقلت انا ال E tangential و E
+
+152
+00:18:48,070 --> 00:18:51,710
+tangential prime و حطيتهم النقطة افتراضية O prime
+
+153
+00:18:51,710 --> 00:18:56,790
+عندهين E tangential و E tangential prime delta
+
+154
+00:18:56,790 --> 00:19:03,370
+theta الانصار تغير في ال ET تغير نتيجة ايش؟ تغير
+
+155
+00:19:03,370 --> 00:19:07,940
+في القيمة او في الاتجاه؟ تغير في الاتجاهاللي هي
+
+156
+00:19:07,940 --> 00:19:16,360
+delta E tangential لحظة كل ما زغرت ال delta theta
+
+157
+00:19:16,360 --> 00:19:23,800
+كل ما صارت الزاوية بين delta E tangential وال E
+
+158
+00:19:23,800 --> 00:19:31,520
+tangential تقترب من ايه؟ Delta E tangentialكلما
+
+159
+00:19:31,520 --> 00:19:37,180
+delta theta قلت كلما كانت الزاوية بين delta E
+
+160
+00:19:37,180 --> 00:19:42,240
+tangential و E T تقترب من ايه؟ اتطلعوا اتطلعوا انا
+
+161
+00:19:42,240 --> 00:19:47,300
+زغر delta theta اتطلعوا شوفوا الشكل تطلعوش فيه 90
+
+162
+00:19:47,300 --> 00:19:51,920
+درجة كلما زغرت تقترب من هذه السفيرة متعامدة عليها
+
+163
+00:19:51,920 --> 00:19:54,460
+معناته ال direction بتاع delta E tangential
+
+164
+00:19:57,400 --> 00:20:00,820
+عند ال limit يقترب من اتجاه ال E normal ال E
+
+165
+00:20:00,820 --> 00:20:06,200
+normal هو عمود على ال E tangential صح؟ الآن خلّيني
+
+166
+00:20:06,200 --> 00:20:12,360
+احكي ال delta E tangential ايه بيستوى ال
+
+167
+00:20:12,360 --> 00:20:18,280
+delta E tangential ك vector بيستوى E tangential ال
+
+168
+00:20:18,280 --> 00:20:25,080
+prime هذا ال vector minus E tangential ك vector
+
+169
+00:20:27,130 --> 00:20:34,250
+قيمة اللي أخدت المثلثة ده ازاها
+
+170
+00:20:34,250 --> 00:20:40,390
+ده كم هتكون Delta theta على اتنين وها دي ازاها
+
+171
+00:20:40,390 --> 00:20:48,590
+هتكون تسعين درجة وها ده كم هتكون قيمتها Delta
+
+172
+00:20:48,590 --> 00:20:54,870
+E tangential على اتنين والمثلثة ده
+
+173
+00:20:58,230 --> 00:21:02,910
+قائم الزاوية صراحة ان دلتا تلتا على اتنين ماهو
+
+174
+00:21:02,910 --> 00:21:09,730
+الزاوية ساوية
+
+175
+00:21:09,730 --> 00:21:17,330
+دلتا ايه tangential على اتنين على ايه tangential
+
+176
+00:21:17,330 --> 00:21:23,050
+اللي هي اكم كمية اه ايش كمية انا بحكي values حاليا
+
+177
+00:21:23,050 --> 00:21:33,680
+واحددلتا اي تنجينشال على اتنين دلتا
+
+178
+00:21:33,680 --> 00:21:38,420
+اي تنجينشال على
+
+179
+00:21:38,420 --> 00:21:41,460
+دلتا
+
+180
+00:21:41,460 --> 00:21:43,080
+ثيتا
+
+181
+00:21:50,930 --> 00:21:54,770
+في ال limit يعني لو روحت هذه حكيت delta E
+
+182
+00:21:54,770 --> 00:21:58,590
+tangential بيستوى
+
+183
+00:21:58,590 --> 00:22:05,850
+اتنين sin delta theta على اتنين روحت قصمت الطرفين
+
+184
+00:22:05,850 --> 00:22:11,190
+على delta theta على
+
+185
+00:22:11,190 --> 00:22:17,390
+delta theta قصمت البصتين على اتنين والمقام على
+
+186
+00:22:17,390 --> 00:22:18,350
+اتنين بيصيرها دي
+
+187
+00:22:21,320 --> 00:22:29,000
+مظبوط خد ال limit as delta theta approaches zero
+
+188
+00:22:29,000 --> 00:22:39,440
+خد ال limit as delta theta approaches zero تطلع
+
+189
+00:22:39,440 --> 00:22:46,380
+ايش؟ واحد قيمته
+
+190
+00:22:46,380 --> 00:22:55,650
+صح؟ الآن لو بدى اخدها ك vectorك vector تطلع
+
+191
+00:22:55,650 --> 00:23:01,250
+واحد والاتجاه اللي حكيناه شويه بيكون ا normal واحد
+
+192
+00:23:01,250 --> 00:23:07,970
+في ال ا normal معناته دي بالساوية دي ا tangential
+
+193
+00:23:07,970 --> 00:23:14,150
+vector بقى دي theta يعني دي ا tangential vector
+
+194
+00:23:14,150 --> 00:23:24,150
+بقى دي theta بالساويةE normal ساوى E normal طيب لو
+
+195
+00:23:24,150 --> 00:23:25,910
+اخر مانا نفس الاشياء اللي احنا حكيها هي عند E
+
+196
+00:23:25,910 --> 00:23:34,910
+normal و هنا عند E normal ال prime و حطته جانب بعض
+
+197
+00:23:34,910 --> 00:23:40,170
+هي عند E normal
+
+198
+00:23:47,100 --> 00:23:54,420
+هذا e normal prime دلتا
+
+199
+00:23:54,420 --> 00:24:05,000
+e normal prime وهذا الزاوية دلتا ثتا كلما تصغر
+
+200
+00:24:05,000 --> 00:24:11,300
+دلتا ثتا كلما تصبح دلتا e normal عمودي على e
+
+201
+00:24:11,300 --> 00:24:16,040
+normalلحظوا الـ delta يعني بالـ limit بالـ limit
+
+202
+00:24:16,040 --> 00:24:21,240
+هتكون بعكس اتجاه ال a tangential بعكس اتجاه ال a
+
+203
+00:24:21,240 --> 00:24:28,820
+tangential معناته دي اي normal by دي ثيتا أشوى
+
+204
+00:24:28,820 --> 00:24:39,220
+الساوية minus a tangential طيب
+
+205
+00:24:48,530 --> 00:24:53,610
+طيب ال velocity دايما بتكون مماثل مصاد الحركة، صح؟
+
+206
+00:24:53,610 --> 00:24:56,770
+ال velocity دايما مماثل مصاد الحركة، بقى انا اتول
+
+207
+00:24:56,770 --> 00:25:02,190
+ال velocity في اي لحظة ال V ممكن احكي V قيمتها
+
+208
+00:25:02,190 --> 00:25:09,410
+باتجاه الاتنجينشال، صح؟
+
+209
+00:25:09,410 --> 00:25:14,550
+الان انا بحكي عن ال velocity ك vector دايما في
+
+210
+00:25:14,550 --> 00:25:21,120
+اتجاه الاتنجينشالوكميتها V لو بدى احصل اكسلاريشن A
+
+211
+00:25:21,120 --> 00:25:31,980
+بس هو DV على DT بس هو مستقلها DV على DT باتجاه ال
+
+212
+00:25:31,980 --> 00:25:39,920
+E tangential زائد V DE tangential ك vector by DT
+
+213
+00:25:39,920 --> 00:25:50,030
+يعني هذه هتكون DVby dt هذا بتعبر عن تغير في قيمة
+
+214
+00:25:50,030 --> 00:25:55,090
+السرعة تغير في قيمة السرعة باتجاه ال a tangential
+
+215
+00:25:55,090 --> 00:26:05,730
+زائد v هعمل التالت d a tangential by d theta و
+
+216
+00:26:05,730 --> 00:26:13,730
+فعلا دي هين هحكي d thetaهنا دي اس وهنا دي اس by دي
+
+217
+00:26:13,730 --> 00:26:20,650
+تي اختلف الشكل صح؟ هاي دي اس مع دي اس وهاي دي ثت
+
+218
+00:26:20,650 --> 00:26:27,650
+مع دي تي يعني صفة نفس هذه صح؟ يعني هتكون تساوي دي
+
+219
+00:26:27,650 --> 00:26:37,290
+V by دي تي اي tangential زائد V انا حاكي هنا دي اي
+
+220
+00:26:37,290 --> 00:26:44,040
+tangential by دي ثتاأولا دي اس و دي تاش هي سرعة
+
+221
+00:26:44,040 --> 00:26:57,380
+هذا V كيمة السرعة هتكون في V في دي ثيتا و دي اس
+
+222
+00:26:57,380 --> 00:27:06,200
+هذا ايه اللي حكيناه ايه normal ك vector انا
+
+223
+00:27:06,200 --> 00:27:07,100
+عزيزي عند curve
+
+224
+00:27:10,970 --> 00:27:17,850
+وهي مركز تكوّر هذا الزاوية ايش هذا ساميها DS صح في
+
+225
+00:27:17,850 --> 00:27:24,870
+الاركة ده والرد الساوي ايش رو و هذا الزاوية ايش D
+
+226
+00:27:24,870 --> 00:27:30,810
+ثتا معناته DS شو ساوي الزاوية
+
+227
+00:27:30,810 --> 00:27:46,610
+رو رو D ثتا معناته D ثتاعلى DS واحد على رو صح يعني
+
+228
+00:27:46,610 --> 00:27:58,130
+هذه هتصير ال A سوى DV by DT E tangential زاد V
+
+229
+00:27:58,130 --> 00:28:02,030
+square DS على D theta على DS اللي هي واحد على رو
+
+230
+00:28:02,030 --> 00:28:05,110
+في ال EN
+
+231
+00:28:09,570 --> 00:28:12,170
+معناته الاكسلاتش حكولها two components one
+
+232
+00:28:12,170 --> 00:28:18,450
+component tangential مماس مصالح حركة والكمبونت
+
+233
+00:28:18,450 --> 00:28:25,510
+تانية نور ماتتجاه النور ماتتجاه مركز التكوير الان
+
+234
+00:28:25,510 --> 00:28:29,030
+ال tangential component للاكسلاتش بتتعبئ عن التغير
+
+235
+00:28:29,030 --> 00:28:34,110
+في قيمة الصراع النور
+
+236
+00:28:34,110 --> 00:28:38,970
+component بتتعبئ عن التغيرفي اتجاه السرعة، ليش؟
+
+237
+00:28:38,970 --> 00:28:43,610
+إذا أنا عندي مروحة بتلف بسرعة منتظرة، سرعة المروحة
+
+238
+00:28:44,440 --> 00:28:48,080
+الثابتة باتغيرش لكن بيكون فيه قوة طرد مركزية في
+
+239
+00:28:48,080 --> 00:28:51,380
+acceleration nor direction معناته اللي كان اتغير
+
+240
+00:28:51,380 --> 00:28:54,740
+اذا اخدت particle بتلف المرحلة كان هي اتجاهين و
+
+241
+00:28:54,740 --> 00:28:57,040
+بعد شويه صارت تجاهين الان صورة ال particle ما
+
+242
+00:28:57,040 --> 00:29:00,820
+اتغيرت لكن اتغيرت الاتجاه معناته التغير في اتجاه
+
+243
+00:29:00,820 --> 00:29:04,780
+احدث ل acceleration او عجلة مركزية اللي هي هذه
+
+244
+00:29:04,780 --> 00:29:08,660
+معناته التنجيش ال component تعبر عن التغير في قيمة
+
+245
+00:29:08,660 --> 00:29:13,260
+السرعة ال nor component تعبر عن التغير في اتجاه
+
+246
+00:29:13,260 --> 00:29:17,870
+السرعةفحكي عندي ال two components هذه ال a
+
+247
+00:29:17,870 --> 00:29:25,970
+tangential دي v by دي t و ال a normal اللي هي v
+
+248
+00:29:25,970 --> 00:29:34,670
+square على رو في
+
+249
+00:29:34,670 --> 00:29:44,310
+ال 3D في
+
+250
+00:29:44,310 --> 00:29:44,710
+ال 3D
+
+251
+00:29:48,480 --> 00:29:57,200
+إذا كان عندى جسم بتتحرك على منحنى ب 3D هى
+
+252
+00:29:57,200 --> 00:30:03,980
+جسم بتتحرك على منحنى ب 3D انا عند لحظة معينة أخدت
+
+253
+00:30:03,980 --> 00:30:10,960
+اللى هو أخدت محاور إداثيات ال E tangential بماس لل
+
+254
+00:30:10,960 --> 00:30:18,690
+arc و ال E normal عمودي على ال curve أو ال arcو في
+
+255
+00:30:18,690 --> 00:30:22,250
+اللي هو ما يسمى by normal ال E B عمودي على ال E T
+
+256
+00:30:22,250 --> 00:30:27,250
+و ال E N عمودي على ال E T و ال E N اللي هو ال E B
+
+257
+00:30:27,250 --> 00:30:32,470
+هيكون ال cross product E T و ال E N بلف ال E T على
+
+258
+00:30:32,470 --> 00:30:37,970
+ال N بيعطينا ال direction تعيش ال E B الآن إذا
+
+259
+00:30:37,970 --> 00:30:43,850
+بيكون اتحرك ب 3D بيكون المستوى هذا بيكونش ثابت
+
+260
+00:30:43,850 --> 00:30:50,920
+المستوى هذا كنت مرجحمستوى الاكترارياش بيكون يتمرجح
+
+261
+00:30:50,920 --> 00:30:53,020
+بيسميه oscillatic plane لإن مثلا في لحظة معينة هاي
+
+262
+00:30:53,020 --> 00:30:57,060
+كانت اتجاه ال ET والاي normal بعد شوية ساعة صار
+
+263
+00:30:57,060 --> 00:31:01,120
+هاي اتجاهها بعد شوية ساعة صار زي هيك فبيكونش
+
+264
+00:31:01,120 --> 00:31:08,210
+المستوى المكوّن من ETو E normal بيكون oscillating
+
+265
+00:31:08,210 --> 00:31:13,170
+فبيسموه oscillating plane طبعا مافيش acceleration
+
+266
+00:31:13,170 --> 00:31:17,930
+في اتجاه ال by normal يعني دي بس two components لل
+
+267
+00:31:17,930 --> 00:31:21,210
+acceleration واحدة باتجاه tangential واحدة باتجاه
+
+268
+00:31:21,210 --> 00:31:24,650
+طيب انحل المثال
+
+269
+00:31:30,070 --> 00:31:34,650
+a motorist is traveling on a curved section of
+
+270
+00:31:34,650 --> 00:31:40,070
+highway at eighty-eight meters per second في عنده
+
+271
+00:31:40,070 --> 00:31:48,890
+سائق motorcycle ماشي على مدخل highway مدخل منحنة
+
+272
+00:31:48,890 --> 00:31:53,650
+منحنة أو دائرة مص كتر و ألفين و خمسمية متر مص كتر
+
+273
+00:31:53,650 --> 00:31:59,980
+و ألفين و خمسمية متركان ماشي بسرعة في لحظة معينة
+
+274
+00:31:59,980 --> 00:32:04,580
+كان ماشي بسرعة تمانية و تمانية متر per second the
+
+275
+00:32:04,580 --> 00:32:10,500
+motorist applies brakes causing a constant
+
+276
+00:32:10,500 --> 00:32:17,240
+sliterate لأن استخدم الكوابح السرعة هو بيلف السرعة
+
+277
+00:32:17,240 --> 00:32:20,720
+أشملها بتقل بتقل معناه تحكي فيه تغير في قيمة
+
+278
+00:32:20,720 --> 00:32:25,440
+السرعة و في تغير كمان في الاتجاه في تغير في الدنيا
+
+279
+00:32:25,440 --> 00:32:29,890
+في القيمة و في الاتجاهknowing that after eight
+
+280
+00:32:29,890 --> 00:32:34,310
+second the speed has been reduced to sixty six
+
+281
+00:32:34,310 --> 00:32:37,730
+meter per second قيمة السرعة كان في البداية V V ند
+
+282
+00:32:37,730 --> 00:32:50,790
+تمانية تمانين متر per second بعد T تمان ثوانة ال V
+
+283
+00:32:53,230 --> 00:33:00,630
+ستة ستين نزلت سرعة لستة ستين متر per second القيمة
+
+284
+00:33:00,630 --> 00:33:07,610
+تغيرت معناه ممكن اوجد tangential component يعني
+
+285
+00:33:07,610 --> 00:33:11,010
+ادرس الحركة باتجاه ال tangential دراس الحركة
+
+286
+00:33:11,010 --> 00:33:16,730
+باتجاه ال tangential يعني انا هايكون عنده V بيسوء
+
+287
+00:33:16,730 --> 00:33:27,470
+V node زائد A tangential في Tيعني هكون ستة و ستين
+
+288
+00:33:27,470 --> 00:33:33,890
+سوى التمانية و التمانين سائد a tangential في
+
+289
+00:33:33,890 --> 00:33:38,110
+تمانية يعني هكون ناقص اتنين و عشرين على تمانية
+
+290
+00:33:38,110 --> 00:33:43,570
+يعني ناقص احداش خمسة و نص اتنين بون سبعة خمسة صح
+
+291
+00:33:43,570 --> 00:33:51,770
+يعني a tangential اتنين بون سبعة خمسة meter per
+
+292
+00:33:51,770 --> 00:33:56,330
+second squareهذه التنجيل في ال component بتعبر عن
+
+293
+00:33:56,330 --> 00:34:03,550
+التغير في قيمة الصراع determine the acceleration
+
+294
+00:34:03,550 --> 00:34:12,310
+of the automobile سيارة immediately after the
+
+295
+00:34:12,310 --> 00:34:15,930
+brakes are applied أوجد قيمة ال acceleration
+
+296
+00:34:15,930 --> 00:34:19,850
+مباشرة بعد مستخدم الكوابعمباشرة بعد استخدام
+
+297
+00:34:19,850 --> 00:34:25,330
+الكوابع الان عشان .. مباشرة بعد استخدام الكوابع هل
+
+298
+00:34:25,330 --> 00:34:34,650
+اتغيرت السرعة؟ لأ معناته السرعة still اللي هي 88
+
+299
+00:34:34,650 --> 00:34:37,410
+معناته هحسب ال immediately بعد استخدام الكوابع
+
+300
+00:34:37,410 --> 00:34:44,690
+هتكون ال A normal so V square على رو V ريهية كم؟
+
+301
+00:34:44,690 --> 00:34:45,050
+88
+
+302
+00:34:48,020 --> 00:34:56,460
+في تمانية و تمانين على الفين و خمس مية اكتب تطلع
+
+303
+00:34:56,460 --> 00:35:05,760
+تلاتة
+
+304
+00:35:05,760 --> 00:35:14,340
+فاصلة سفر تسعة سبعة سبعة سبعة تسعة سبعة سبعة تسعة
+
+305
+00:35:14,340 --> 00:35:15,820
+سبعة سبعة تسعة سبعة تسعة سبعة تسعة سبعة تسعة سبعة
+
+306
+00:35:15,820 --> 00:35:16,900
+تسعة سبعة تسعة سبعة تسعة سبعة تسعة سبعة تسعة سبعة
+
+307
+00:35:16,900 --> 00:35:17,200
+تسعة سبعة تسعة سبعة تسعة سبعة تسعة سبعة تسعة سبعة
+
+308
+00:35:17,200 --> 00:35:17,200
+تسعة سبعة تسعة سبعة تسعة سبعة تسعة سبعة تسعة سبعة
+
+309
+00:35:17,200 --> 00:35:17,200
+تسعة سبعة تسعة سبعة تسعة سبعة تسعة سبعة تسعة سبعة
+
+310
+00:35:17,200 --> 00:35:20,830
+تسعة سبعة تسعة سبعة تسعةاللي هي meter per second
+
+311
+00:35:20,830 --> 00:35:25,570
+squared المعنى
+
+312
+00:35:25,570 --> 00:35:30,570
+أنه لو كانت السيارة .. هاي السيارة كانت .. هاي
+
+313
+00:35:30,570 --> 00:35:34,370
+الارك كانت
+
+314
+00:35:34,370 --> 00:35:39,810
+السيارة هنا في اللحظة هذه وهي المركز هكون فيه
+
+315
+00:35:39,810 --> 00:35:46,870
+normal component a normalوفي tangential component
+
+316
+00:35:46,870 --> 00:35:54,390
+بفرض هاي ال E tangential عنده وهي
+
+317
+00:35:54,390 --> 00:36:01,830
+ال E normal صح؟ لأن ال E tangential جاية عكس
+
+318
+00:36:01,830 --> 00:36:08,110
+الجاية بالسالب يعني هتكون هاي ال E tangential
+
+319
+00:36:17,670 --> 00:36:26,550
+معناته الأسلحة الكلية ال a هي ال a صح ال a قيمتها
+
+320
+00:36:26,550 --> 00:36:32,450
+هتكون جزر التربيع ل a tangential تربيع زي a normal
+
+321
+00:36:32,450 --> 00:36:42,830
+تربيع هتساوي جزر التربيع ل 2.75 تربيعزاد تلاتة
+
+322
+00:36:42,830 --> 00:36:53,310
+point سفر تسعة تمانية تربيع يعني هتطلع أكتر
+
+323
+00:36:53,310 --> 00:36:58,670
+بتطلع هتطلع
+
+324
+00:36:58,670 --> 00:37:04,210
+تلاتة point something صح او اربعة اربعة
+
+325
+00:37:06,080 --> 00:37:11,100
+point fourteen meter per second squared طيب ربنا
+
+326
+00:37:11,100 --> 00:37:19,060
+نحصل زاوية هذه theta theta
+
+327
+00:37:19,060 --> 00:37:28,300
+ايش هتساوي قيمتها ten inverse لا ايش ال a n a n ع
+
+328
+00:37:28,300 --> 00:37:33,100
+ال a tangential يعني
+
+329
+00:37:33,100 --> 00:37:39,490
+هتكون ten inverseاللي هي .. بيهمنيش الإشارات انا
+
+330
+00:37:39,490 --> 00:37:44,390
+بتطلع أي شي شايفه ما تحطليش موجة انا حاول تايب ثتا
+
+331
+00:37:44,390 --> 00:37:50,410
+ايش دخلني في الإشارة تان
+
+332
+00:37:50,410 --> 00:37:57,130
+انفرس هتكون تان انفرس انوار ما اللي هي تلاتة point
+
+333
+00:37:57,130 --> 00:38:03,850
+zero تسعة تمانية على اتنين point سبعة خمسةيعني
+
+334
+00:38:03,850 --> 00:38:12,590
+هتطلع أكتر من خمس و أربعين 48 point
+
+335
+00:38:12,590 --> 00:38:16,630
+four degrees
+
+336
+00:38:34,100 --> 00:38:39,680
+طب في اي سؤال؟ ال .. هيك و خلصنا محاضرة اليوم
+
+337
+00:38:39,680 --> 00:38:43,820
+الأربع ان شاء الله بنخلص ال chapter أحداشر السبع
+
+338
+00:38:43,820 --> 00:38:48,120
+لمتحان الأول تاكلوا العافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/CgdgZCieaRI.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/CgdgZCieaRI.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2ee74b4f8a19e2f21c9f13404b6852823d28a9f4
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/CgdgZCieaRI.srt
@@ -0,0 +1,1074 @@
+1
+00:00:05,250 --> 00:00:08,210
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله و
+
+2
+00:00:08,210 --> 00:00:12,270
+بركاته اليوم هنكمل في مادة الديناميكا الشابتر
+
+3
+00:00:12,270 --> 00:00:17,050
+التالت الـ energy and momentum methods لحتى اللحظة
+
+4
+00:00:17,050 --> 00:00:20,270
+حكينا عن الـ principle of work and energy و
+
+5
+00:00:20,270 --> 00:00:25,690
+conservation of mechanical energy وحلينا مجموعة
+
+6
+00:00:25,690 --> 00:00:29,790
+من الأسئلة اليوم هنكمل وهنحكي عن الـ principle of
+
+7
+00:00:29,790 --> 00:00:31,790
+impulse and momentum
+
+8
+00:00:34,460 --> 00:00:39,740
+من قانون نيوتن الثاني احنا حكينا مجموعة القوة
+
+9
+00:00:39,740 --> 00:00:43,540
+المؤثرة على جسم = d/dt (MV) يعني معدل
+
+10
+00:00:43,540 --> 00:00:50,440
+التغير في زخم الجسم أو كمية التحرك، إذا ضربنا الطرفين
+
+11
+00:00:50,440 --> 00:00:57,640
+في dt بيصير F dt = d MV، إذا عملنا
+
+12
+00:00:57,640 --> 00:01:05,000
+integration، integral لـ F dt من t1 لـ t2 = MV
+
+13
+00:01:05,000 --> 00:01:14,000
+بعتبر كـ one variable بتكون MV2 - MV1 الـ
+
+14
+00:01:14,000 --> 00:01:20,360
+integral من t1 لـ t2 لـ F dt باسمها الـ impulse of F
+
+15
+00:01:20,360 --> 00:01:25,710
+اللي هي الدفع الناتج عن قوة F، و MV1 اللي هي الـ
+
+16
+00:01:25,710 --> 00:01:30,150
+initial linear momentum، و MV2 اللي هي الـ final
+
+17
+00:01:30,150 --> 00:01:34,110
+linear momentum، معناته الـ initial linear momentum
+
+18
+00:01:34,110 --> 00:01:37,150
+للجسم زائد الـ impulse من واحد لاثنين بيساوي الـ
+
+19
+00:01:37,150 --> 00:01:43,710
+final momentum، ممكن تمثلها بالـ graphical أو
+
+20
+00:01:43,710 --> 00:01:50,110
+free body diagram، MV1 كـ vector، زيادة الـ impulse
+
+21
+00:01:50,110 --> 00:01:52,970
+للقوة اللي بتأثر على الجسم في الفترة من واحد
+
+22
+00:01:52,970 --> 00:02:00,570
+لاثنين بيساوي MV2، يعني MV2 عبارة عن محصلة two
+
+23
+00:02:00,570 --> 00:02:07,850
+vectors، MV1 والـ impulse من واحد لاثنين، واحدة الـ
+
+24
+00:02:07,850 --> 00:02:11,470
+impulse هي قوة في زمن، نيوتن في second
+
+25
+00:02:17,120 --> 00:02:19,980
+في ما يسمى الـ impulsive force اللي هي القوة
+
+26
+00:02:19,980 --> 00:02:25,800
+الدفعية، القوة الدفعية هي force بتأثر على جسم لفترة
+
+27
+00:02:25,800 --> 00:02:33,720
+زمنية قصيرة جداً لكن بتكون كبيرة لدرجة أنها قادرة
+
+28
+00:02:33,720 --> 00:02:39,300
+على إحداث تغيير في الزخم بتاع الجسم، يعني هي قوة
+
+29
+00:02:39,300 --> 00:02:44,380
+كبيرة جداً تؤثر لفترة زمنية قصيرة جداً لدرجة أنَّها..
+
+30
+00:02:44,380 --> 00:02:48,140
+أنها ستكون قادرة على إحداث تغير في الزخم بتاع
+
+31
+00:02:48,140 --> 00:02:53,940
+الجسم، لما
+
+32
+00:02:53,940 --> 00:02:57,140
+الـ impulsive forces، احنا بنحكي impulsive force
+
+33
+00:02:57,140 --> 00:03:01,980
+بتأثر كمية كبيرة جداً و at very small increment
+
+34
+00:03:01,980 --> 00:03:05,340
+معناته ممكن أحكي الـ integral عبارة عن ايش؟ sum
+
+35
+00:03:05,340 --> 00:03:12,300
+of motion، معناته mv1 زائد اسمها الـ F Δt = MV2
+
+36
+00:03:12,300 --> 00:03:18,820
+يعني
+
+37
+00:03:18,820 --> 00:03:24,580
+أنا أسوي مثال، اللي هي كرة الـ Baseball، عند الكورة
+
+38
+00:03:24,580 --> 00:03:32,580
+بتتحرك بسرعة MV1، بتتحرك بسرعة MV1، بيخبطها في المضرب
+
+39
+00:03:32,580 --> 00:03:37,260
+وبيغير اتجاهها لأن قوة المضرب اللي ضرب فيه الكورة
+
+40
+00:03:37,970 --> 00:03:42,470
+بتكون أكبر بكثير من الوزن.. أكبر بكثير من الوزن
+
+41
+00:03:42,470 --> 00:03:45,830
+عشان ايه؟ بس.. بس بحكي قوة المضرب أو ضربة المضرب
+
+42
+00:03:45,830 --> 00:03:50,750
+is impulsive force، لأن قوة كبيرة جداً تؤثر لفترة
+
+43
+00:03:50,750 --> 00:03:56,230
+زمنية قصيرة جداً، في الحالة هذه ممكن نسبياً الـ impulse
+
+44
+00:03:56,230 --> 00:03:59,570
+الناتجة على الوزن يكون صغير جداً لدرجة إني أعتبره
+
+45
+00:03:59,570 --> 00:04:07,470
+zero، معناته MV1 زائد F Δt = MV2 في الحالة
+
+46
+00:04:07,470 --> 00:04:12,650
+هذه الوزن بأعتبره non impulsive force لأن قيمته
+
+47
+00:04:12,650 --> 00:04:19,450
+صغيرة جداً لفترة زمنية قصيرة جداً، وبالتالي الـ
+
+48
+00:04:19,450 --> 00:04:21,150
+impulse بتاعه بيكون صغير جداً
+
+49
+00:04:29,810 --> 00:04:34,170
+الدفع هو تأثير القوة على فترة زمنية، تأثير القوة
+
+50
+00:04:34,170 --> 00:04:40,690
+على فترة زمنية، طيب
+
+51
+00:04:40,690 --> 00:04:47,730
+نشوف مثال، an automobile weighing 4000 pound، في عندي
+
+52
+00:04:47,730 --> 00:04:48,630
+السيارة وزنها
+
+53
+00:04:55,520 --> 00:05:00,460
+أربعة آلاف pound، هذا مثلاً حللناه بس بطريقة الـ
+
+54
+00:05:00,460 --> 00:05:04,800
+principle of work and energy، is driven down a five
+
+55
+00:05:04,800 --> 00:05:11,820
+degree incline، ماشي على منحدر
+
+56
+00:05:11,820 --> 00:05:17,720
+بسرعة
+
+57
+00:05:24,150 --> 00:05:36,270
+عندي V1 اللي هو ستين ميل per hour، عشان أحوله
+
+58
+00:05:36,270 --> 00:05:47,870
+لقدم per second، لأنه شهرها خمسة وثمانين، طيب
+
+59
+00:05:47,870 --> 00:05:53,130
+when the brakes are applied، ده عشان البريكات
+
+60
+00:05:54,170 --> 00:05:57,210
+النتيجة للبريكات كان عندي الـ total braking force
+
+61
+00:05:57,210 --> 00:06:03,310
+ثابتة، كميتها F
+
+62
+00:06:03,310 --> 00:06:12,170
+اللي هي الألف وخمسمائة pound
+
+63
+00:06:12,170 --> 00:06:15,290
+determine
+
+64
+00:06:15,290 --> 00:06:18,070
+the time required for the automobile to come to a
+
+65
+00:06:18,070 --> 00:06:23,410
+stop، احسب الزمن عشان يصل لحالة السكون، يعني بده
+
+66
+00:06:23,410 --> 00:06:32,430
+زمنه، V2 = 0، أنا هستخدم الـ principle of impulse
+
+67
+00:06:32,430 --> 00:06:35,130
+and momentum، يعني أن ده هيكون في البداية هي
+
+68
+00:06:35,130 --> 00:06:39,690
+السيارة كانها
+
+69
+00:06:39,690 --> 00:06:49,710
+زخم ابتدائي MV1 زائد
+
+70
+00:06:49,710 --> 00:06:52,890
+خلال فترة تحركها
+
+71
+00:06:57,840 --> 00:07:08,860
+كان عندي فيه impulse، F ثابتة، F في T، وفي
+
+72
+00:07:08,860 --> 00:07:19,180
+الوزن لتحت W في T، وفي
+
+73
+00:07:19,180 --> 00:07:20,140
+normal force
+
+74
+00:07:26,120 --> 00:07:29,800
+N في T، طبعاً هذه الـ FT، الـ total braking force، الـ
+
+75
+00:07:29,800 --> 00:07:40,740
+friction مع الهواء مع كل شيء = M
+
+76
+00:07:40,740 --> 00:07:48,800
+A V2، لو
+
+77
+00:07:48,800 --> 00:07:53,700
+اعتبرت هذا هو الـ X وهذا
+
+78
+00:07:53,700 --> 00:07:54,040
+الـ Y
+
+79
+00:07:58,290 --> 00:08:00,290
+هأحكي اللي هو الـ principle of impulse and momentum
+
+80
+00:08:00,290 --> 00:08:08,390
+اللي هي M V1 كـ vector زائد الـ impulse من واحد
+
+81
+00:08:08,390 --> 00:08:12,710
+لاثنين = M V2 كـ vector
+
+82
+00:08:24,220 --> 00:08:33,500
+هأخذ الـ impulse الـ X component، الـ X component، الـ Y
+
+83
+00:08:33,500 --> 00:08:39,780
+اتجاهها هيكون
+
+84
+00:08:39,780 --> 00:08:44,740
+MV1 -
+
+85
+00:08:44,740 --> 00:08:49,620
+FT +
+
+86
+00:08:49,620 --> 00:08:52,160
+WT
+
+87
+00:08:53,640 --> 00:09:01,860
+sin الخمس درجات = MV2
+
+88
+00:09:01,860 --> 00:09:05,080
+يعني
+
+89
+00:09:05,080 --> 00:09:18,520
+أنا هيكون عندي W/g في V1 اللي هي 88
+
+90
+00:09:18,520 --> 00:09:29,930
+ناقص F اللي هي الألف وخمسمائة في الـ T +
+
+91
+00:09:29,930 --> 00:09:45,670
+اللي هو أربعة آلاف T sin الخمسة = صفر، ومنها
+
+92
+00:09:45,670 --> 00:09:52,730
+بحسب الـ T، هتكون تساوي 4000
+
+93
+00:10:02,320 --> 00:10:06,660
+في 88 على
+
+94
+00:10:06,660 --> 00:10:10,620
+3200
+
+95
+00:10:10,620 --> 00:10:21,540
+و3200 في 1500 - 4000 sin
+
+96
+00:10:21,540 --> 00:10:22,280
+الخمسة
+
+97
+00:10:33,490 --> 00:10:38,530
+يعني أنا حسبت الزمن بدون ما أحسب acceleration، بدون
+
+98
+00:10:38,530 --> 00:10:52,070
+ما أحسب acceleration، شوف
+
+99
+00:10:52,070 --> 00:10:52,790
+مثال ثاني
+
+100
+00:11:26,410 --> 00:11:31,290
+طيب، a four-ounce baseball is pitched with a velocity
+
+101
+00:11:31,290 --> 00:11:36,390
+of eighty feet per second، الحدث اللي أنا دلوقتي
+
+102
+00:11:36,390 --> 00:11:39,750
+بلعب بيه، سباق، لعبين واحد بيضرب الكرة وواحد ايش
+
+103
+00:11:39,750 --> 00:11:48,760
+بيضربها، الكرة وزنها أربعة أوقية، الـ
+
+104
+00:11:48,760 --> 00:11:59,820
+mass أربعة
+
+105
+00:11:59,820 --> 00:12:06,320
+أوقية، V
+
+106
+00:12:06,320 --> 00:12:09,940
+واحد وستة وثمانين قدم
+
+107
+00:12:12,780 --> 00:12:17,980
+يا ده الاتجاه، after
+
+108
+00:12:17,980 --> 00:12:25,880
+the ball is hit by the bat، بعد ما خبطها بالمضرب، it
+
+109
+00:12:25,880 --> 00:12:28,900
+has a velocity of one hundred twenty feet per
+
+110
+00:12:28,900 --> 00:12:36,680
+second in the direction shown، يعني V2 = مئة
+
+111
+00:12:36,680 --> 00:12:46,300
+وعشرين قدم على الثانية، تم الزاوية أربعين مع
+
+112
+00:12:46,300 --> 00:12:53,660
+الأفقية، if the
+
+113
+00:12:53,660 --> 00:12:57,420
+bat and the ball are in contact for point oh one
+
+114
+00:12:57,420 --> 00:13:00,600
+five seconds، كان فترة التلامس بين الكورة والمضرب
+
+115
+00:13:00,600 --> 00:13:03,960
+خمسة عشر miliseconds، الـ time
+
+116
+00:13:13,900 --> 00:13:18,060
+determine the average impulsive force exerted on
+
+117
+00:13:18,060 --> 00:13:22,280
+the ball during the impact،وجد قيمة متوسطة لـ
+
+118
+00:13:22,280 --> 00:13:29,460
+impulsive force من المضرب على الكرة، الكرة إنها
+
+119
+00:13:29,460 --> 00:13:39,040
+في البداية كان لها MV1
+
+120
+00:13:39,040 --> 00:13:41,500
+هذا الـ initial momentum لها
+
+121
+00:13:46,070 --> 00:13:52,890
+زائد خلال فترة التلامس بينها وبين المضرب كان في
+
+122
+00:13:52,890 --> 00:13:57,470
+عندها الـ impulsive forces، خليني
+
+123
+00:13:57,470 --> 00:14:02,390
+أحكي يعني، أساوي، بعدين بحط اتجاهات، أساوي، أم
+
+124
+00:14:21,570 --> 00:14:26,010
+V2 الكرة جاية ايه، والضربة بقى ماندل هتكون عندها إثنين
+
+125
+00:14:26,010 --> 00:14:29,410
+الـ
+
+126
+00:14:29,410 --> 00:14:37,250
+parts of force، هي هتكون ماندل Fx في T و
+
+127
+00:14:37,250 --> 00:14:37,890
+Fy
+
+128
+00:14:42,050 --> 00:14:47,150
+في T، في الوزن، بس الوزن is it، هو هل هو impulsive
+
+129
+00:14:47,150 --> 00:14:53,150
+ولا non-impulsive؟ قيمته صغيرة، يعني هأعملها هأقطع
+
+130
+00:14:53,150 --> 00:15:03,430
+عندي WT، مبدأياً أحكي non-impulsive
+
+131
+00:15:18,350 --> 00:15:26,790
+يعني أنا هيكون عندي M V1، هاي اتجاهها، زائد الـ impulse
+
+132
+00:15:26,790 --> 00:15:30,270
+من
+
+133
+00:15:30,270 --> 00:15:45,470
+واحد لاثنين، بيساوي M V2، هأخذ
+
+134
+00:15:45,470 --> 00:15:46,270
+الـ X component
+
+135
+00:15:52,470 --> 00:15:58,450
+بدي أعتبر هذا الاتجاه الموجب، -
+
+136
+00:15:58,450 --> 00:16:09,910
+M V1 + Fxt =
+
+137
+00:16:09,910 --> 00:16:18,130
+M V2 cos 40
+
+138
+00:16:22,630 --> 00:16:27,690
+يعني هتكون الـ Fx =
+
+139
+00:16:27,690 --> 00:16:41,430
+M في (V2 cos 40 - V1) / الـ time
+
+140
+00:16:56,720 --> 00:17:02,140
+هذه الـ effects الـ
+
+141
+00:17:02,140 --> 00:17:08,200
+O's، الـ O's
+
+142
+00:17:08,200 --> 00:17:18,240
+فاكرين احنا عرفنا لنيوتن، كيلو جرام في متر
+
+143
+00:17:18,240 --> 00:17:26,200
+per second square، صح؟ صح، وفي عندي الـ pound force
+
+144
+00:17:29,080 --> 00:17:34,820
+بنتعرف أكتر، طريقة عندنا الـ slug، نستخدم مرة الـ slug
+
+145
+00:17:34,820 --> 00:17:44,220
+والـ pound mass والـ oz، ماشي؟ لأن في تحويلات
+
+146
+00:17:44,220 --> 00:17:49,300
+اعملوها أنتم، طيب، لأن باحث في الـ Fx، أنا عندي الـ M
+
+147
+00:17:49,300 --> 00:17:54,620
+معروفة بعد التحويلات، و الـ V1 معروفة، و الـ V2 معروفة
+
+148
+00:17:54,620 --> 00:18:05,840
+و الـ T معروفة، صح؟ لأن في الـ y component، هيكون عندي
+
+149
+00:18:05,840 --> 00:18:13,920
+هاي + هيكون عندي صفر +
+
+150
+00:18:13,920 --> 00:18:25,400
+Fy t = mV2 sin 40، ومن هنا بحسب الـ Fy
+
+151
+00:18:28,630 --> 00:18:37,830
+mV2 sin 40 / t = 100
+
+152
+00:18:37,830 --> 00:18:42,410
+%، معناته زي ما عرفك يا عبد الكريم، الـ F، سواء جزر
+
+153
+00:18:42,410 --> 00:18:54,890
+تربيع لـ Fx تربيع + Fy تربيع، وتحسب لأن هاي عندي
+
+154
+00:18:54,890 --> 00:18:55,470
+Fx
+
+155
+00:19:00,020 --> 00:19:07,120
+هذه Fy وهذه
+
+156
+00:19:07,120 --> 00:19:15,320
+محصلة F، هذه اسمها، أنا سامعها مثلاً بيتا، الـ beta، مش
+
+157
+00:19:15,320 --> 00:19:26,400
+هتساوي اللي هو tan inverse Fy / Fx
+
+158
+00:19:32,980 --> 00:19:41,920
+يعني النتيجة هتحكي F = F
+
+159
+00:19:41,920 --> 00:19:47,140
+قيمتها والزاوية تحط الزاوية
+
+160
+00:20:06,830 --> 00:20:07,870
+شوف مثال ثاني
+
+161
+00:20:35,860 --> 00:20:39,860
+a ten kilogram package، يعني الـ package وزنها
+
+162
+00:20:39,860 --> 00:20:44,340
+كتلتها M، عشرة
+
+163
+00:20:44,340 --> 00:20:49,680
+kilogram، a ten kilogram package drops from a chute
+
+164
+00:20:49,680 --> 00:20:54,500
+into a twenty-four kilogram cart، فين ده؟ منحدر، ميل
+
+165
+00:20:54,500 --> 00:21:01,960
+بتنزل من الـ chute على ايش؟ على عربية، العربية وزنها
+
+166
+00:21:01,960 --> 00:21:13,320
+M package، M cart، أربعة وعشرون كيلو جرام، with
+
+167
+00:21:13,320 --> 00:21:15,620
+a velocity of three meters per second، تنزل بسرعة
+
+168
+00:21:15,620 --> 00:21:20,220
+ثلاثة متر على الثانية، knowing that the cart is
+
+169
+00:21:20,220 --> 00:21:28,140
+initially at rest، أنت بتحكي V cart واحد = صفر، و
+
+170
+00:21:28,140 --> 00:21:35,540
+V package واحد = ثلاثة متر per second
+
+171
+00:21:38,310 --> 00:21:42,890
+بتعمل زاوية ثلاثين
+
+172
+00:21:42,890 --> 00:21:47,630
+درجة، determine
+
+173
+00:21:47,630 --> 00:21:50,830
+the final velocity of the car، طبعاً هتنزل على
+
+174
+00:21:50,830 --> 00:21:55,010
+العربية ويمشوا مع بعض، لأن وجد التصادم، النهائية
+
+175
+00:21:55,010 --> 00:22:01,650
+للعربية، أنا
+
+176
+00:22:01,650 --> 00:22:08,460
+هأخذ الإثنين مع بعض كـ system، هأخذ الـ cart والـ.. والـ
+
+177
+00:22:08,460 --> 00:22:18,660
+package، في البداية هاي الـ package و
+
+178
+00:22:18,660 --> 00:22:22,440
+هاي..
+
+179
+00:22:22,440 --> 00:22:29,920
+هاي الـ package وهاي الـ cart، كان في عندي في التصادم
+
+180
+00:22:29,920 --> 00:22:36,400
+M package V package واحد، وزاوية هذا كام؟
+
+181
+00:22:44,070 --> 00:22:50,270
+ثلاثين، وفي عندي M cart V
+
+182
+00:22:50,270 --> 00:22:58,370
+card واحد اللي هي بتساوي صفر، زائد لأن
+
+183
+00:22:58,370 --> 00:23:01,270
+أنا خذتهم مع بعض في الـ..الـ..الـ في الـ..
+
+184
+00:23:01,270 --> 00:23:05,020
+يعني الـ..الـ..الـ cart بتأثر forces على الـ
+
+185
+00:23:05,020 --> 00:23:09,000
+package، والـ package بتأثر forces معاكسة، فبتختفي
+
+186
+00:23:09,000 --> 00:23:17,200
+خلال الفترة هذه، هيكون عندي هاي
+
+187
+00:23:17,200 --> 00:23:21,220
+الـ cart والـ
+
+188
+00:23:21,220 --> 00:23:27,520
+package، هايهم مع بعض، هيمشوا داخلة
+
+189
+00:23
+
+223
+00:28:13,710 --> 00:28:19,570
+في الـ T وفي
+
+224
+00:28:19,570 --> 00:28:19,910
+عندي
+
+225
+00:28:23,380 --> 00:28:44,220
+في الـ T عندي الـ M package في الـ G في الـ T بتساوي M
+
+226
+00:28:44,220 --> 00:28:49,820
+package V package 2 هي نفس V2
+
+227
+00:28:58,380 --> 00:29:05,260
+يعني هيكون عندي الـ M V package واحد كـ vector زائد الـ
+
+228
+00:29:05,260 --> 00:29:08,900
+impulse واحد
+
+229
+00:29:08,900 --> 00:29:20,500
+أو لاتنين M P V package اتنين كـ vector هاخد
+
+230
+00:29:20,500 --> 00:29:21,340
+الـ X component
+
+231
+00:29:38,050 --> 00:29:46,450
+هيكون عندي M package V package واحد cosine الثلاثين
+
+232
+00:29:46,450 --> 00:29:56,850
+يعني
+
+233
+00:29:56,850 --> 00:30:01,050
+هعتبر هذه غير
+
+234
+00:30:01,050 --> 00:30:01,590
+-impulsive
+
+235
+00:30:07,690 --> 00:30:13,550
+هذه فرضية ناقص
+
+236
+00:30:13,550 --> 00:30:17,370
+fx
+
+237
+00:30:17,370 --> 00:30:26,890
+في الفترة الثانية الـ T سواء package V package 2
+
+238
+00:30:26,890 --> 00:30:31,290
+يعني
+
+239
+00:30:31,290 --> 00:30:40,890
+هيكون عندي عشرة في ثلاثة في point تمانية ستة ستة و
+
+240
+00:30:40,890 --> 00:30:47,050
+بدي الـ impulse مش الـ force بدي Fx في T يعني Fx في
+
+241
+00:30:47,050 --> 00:30:57,230
+T بيساوي عشرة في point سبعة ستة أربعة يعني خليه
+
+242
+00:30:57,230 --> 00:31:02,550
+لو أضبط الطرفين بـ ناقص هذه بيصير زائد ناقص ناقص
+
+243
+00:31:02,550 --> 00:31:11,590
+صح؟ معناته FXT هتكون
+
+244
+00:31:11,590 --> 00:31:25,490
+تساوي اضربوا لي الرقم هذا أو
+
+245
+00:31:25,490 --> 00:31:27,730
+احسبوها لي مباشرة هتكون هذا ناقص هذا
+
+246
+00:31:39,820 --> 00:31:46,620
+هو هيصير موجب في الجهة الثانية الصافي
+
+247
+00:31:46,620 --> 00:31:51,480
+بقي 18.28
+
+248
+00:31:51,480 --> 00:31:57,220
+نيوتن second هاخد
+
+249
+00:31:57,220 --> 00:32:05,960
+بعدين الـ y component الـ
+
+250
+00:32:05,960 --> 00:32:08,840
+y component هيكون عندي ناقص
+
+251
+00:32:11,070 --> 00:32:22,970
+أنا هحط لاتجاه الموجب هنا أنا
+
+252
+00:32:22,970 --> 00:32:30,850
+عندي ناقص M package P package واحد ساين الثلاثين
+
+253
+00:32:30,850 --> 00:32:34,370
+زائد
+
+254
+00:32:34,370 --> 00:32:38,430
+FYT
+
+255
+00:32:43,160 --> 00:32:48,880
+معناته FYT عشرة
+
+256
+00:32:48,880 --> 00:32:56,900
+في ثلاثة في نصف بمناسبة
+
+257
+00:32:56,900 --> 00:33:05,940
+متر نيوتن second في second معناته
+
+258
+00:33:05,940 --> 00:33:07,220
+الـ FT
+
+259
+00:33:10,960 --> 00:33:18,400
+هتكون جذر التربيعي لثمانية وعشرين تربيع
+
+260
+00:33:18,400 --> 00:33:26,040
+زائد خمسة عشر تربيع ثلاثة
+
+261
+00:33:26,040 --> 00:33:37,300
+وعشرين point ستة خمسة نيوتن second وبعمل
+
+262
+00:33:37,300 --> 00:33:37,820
+زاوية
+
+263
+00:33:43,470 --> 00:33:55,110
+أنا عندي هي عندي هي دي هيك هي
+
+264
+00:33:55,110 --> 00:34:02,930
+دي F في T هي FYT هي دي FXT هنسميها مثلا
+
+265
+00:34:02,930 --> 00:34:10,390
+Theta الـ Theta مثلا
+
+266
+00:34:10,390 --> 00:34:24,180
+أو ثاني تان Inverse FYT على FXT هيساوي تان الـ inverse اللي
+
+267
+00:34:24,180 --> 00:34:33,580
+خمسة عشر على ثمانية عشر point اثنين ثمانية تسعة ثلاثين
+
+268
+00:34:33,580 --> 00:34:34,640
+فاصلة سبعة ثلاثين
+
+269
+00:34:41,510 --> 00:34:48,970
+طيب معناته هتكون الـ Ft total impulse بـ ثلاث وعشرين
+
+270
+00:34:48,970 --> 00:34:59,890
+point ستة خمسة وبيعمل زاوية تسعة
+
+271
+00:34:59,890 --> 00:35:03,870
+وثلاثين فاصلة أربعة degrees
+
+272
+00:35:12,040 --> 00:35:17,840
+هذا المطلوب الثالث مطلوب الثالث fraction of the
+
+273
+00:35:17,840 --> 00:35:22,960
+initial energy lost in the impact لأن الـ initial
+
+274
+00:35:22,960 --> 00:35:30,160
+energy للـ .. للـ .. للـ kart T
+
+275
+00:35:30,160 --> 00:35:34,560
+واحد ايش بيساوي نص
+
+276
+00:35:34,560 --> 00:35:45,840
+في V واحد تربيع صح إن أنا هيكون عندي نصف في عشرة في ثلاثة
+
+277
+00:35:45,840 --> 00:35:55,620
+تربيع يعني خمسة وأربعين صح جول
+
+278
+00:35:55,620 --> 00:36:03,880
+الثانية نصف في
+
+279
+00:36:03,880 --> 00:36:10,880
+في عشرة في point سبعة ستة أربعة تربيع
+
+280
+00:36:15,980 --> 00:36:26,060
+تسعة واحد تسعة واحد تسعة واحد تسعة واحد تسعة واحد
+
+281
+00:36:26,060 --> 00:36:33,440
+تسعة واحد تسعة واحد تسعة واحد تسعة واحد تسعة واحد
+
+282
+00:36:33,440 --> 00:36:41,720
+تسعة واحد تسعة واحد تسعة واحد تسعة
+
+283
+00:36:41,720 --> 00:36:48,960
+واحد تسعة واحد تسعة واحد تسعة واحد اثنين يعني
+
+284
+00:36:48,960 --> 00:36:54,160
+هيكون خمسة وأربعين ماينص اثنين point تسعة اثنين
+
+285
+00:36:54,160 --> 00:36:58,240
+اثنين وأربعين من اثنين وأربعين من تسعة اثنين من
+
+286
+00:36:58,240 --> 00:37:02,260
+اثنين
+
+287
+00:37:02,260 --> 00:37:03,800
+وأربعين من تسعة اثنين من تسعة اثنين من تسعة اثنين
+
+288
+00:37:03,800 --> 00:37:05,760
+من تسعة اثنين من تسعة اثنين من تسعة اثنين من تسعة
+
+289
+00:37:05,760 --> 00:37:05,840
+اثنين من تسعة اثنين من تسعة اثنين من تسعة اثنين من
+
+290
+00:37:05,840 --> 00:37:07,360
+تسعة اثنين من تسعة اثنين من تسعة اثنين من تسعة
+
+291
+00:37:07,360 --> 00:37:08,760
+اثنين من تسعة اثنين من تسعة اثنين من تسعة اثنين من
+
+292
+00:37:08,760 --> 00:37:20,000
+تسعة اثنين من تسعة اثنين من على T واحد لأن
+
+293
+00:37:20,000 --> 00:37:24,300
+هو بيحكي لك of the initial يعني احنا بيكون اثنين
+
+294
+00:37:24,300 --> 00:37:35,900
+وأربعين point ثمانية على خمسة وأربعين point تسعة
+
+295
+00:37:35,900 --> 00:37:41,760
+ثلاثة خمسة يعني ثلاثة وتسعون ونصف في المئة من الـ
+
+296
+00:37:41,760 --> 00:37:47,290
+initial energy is lost during the impactثلاثة تسعين
+
+297
+00:37:47,290 --> 00:37:55,250
+ninety three point five percent of initial
+
+298
+00:37:55,250 --> 00:38:00,310
+energy is
+
+299
+00:38:00,310 --> 00:38:06,410
+lost in the
+
+300
+00:38:06,410 --> 00:38:06,770
+impact
+
+301
+00:38:21,960 --> 00:38:27,420
+أي سؤال؟ طيب،
+
+302
+00:38:27,420 --> 00:38:32,980
+اليوم نتفل، خلينا نرجع ونكمل، آخذك وأنا أعرف
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/HJmZFB1prD8_raw.json b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/HJmZFB1prD8_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..7d8f5738a0c1c64eea34056fca5d6e74f64fa739
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/HJmZFB1prD8_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2956, "start": 5.06, "end": 29.56, "text": "بسم الله الرحمن الرحيم السلام عليكم ورحمة الله وبركاته هنكمل في مادة ال dynamics المحاضرات الفاتة بدأنا في ال kinematics of rigid bodies حكينا عن الأنواع الحركة ممكن تكون الجسم حركته حركة انتقالية فقط درستا الحركة الانتقالية أو pure rotation درستا الحركة الدورانية", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 8032, 1863, 24793, 1211, 8978, 3714, 18513, 3660, 2423, 15679, 9673, 5016, 46958, 2288, 9307, 27188, 9307, 3660, 47525, 10721, 8315, 8978, 2423, 15784, 37541, 295, 22195, 7510, 11331, 4117, 1829, 8315, 18871, 16247, 1863, 14407, 3615, 21542, 31747, 3660, 3714, 43020, 6055, 30544, 25724, 38251, 11331, 31747, 47395, 11331, 31747, 3660, 16472, 2655, 4587, 6027, 10632, 6156, 47432, 11778, 2288, 14851, 995, 21542, 31747, 3660, 2423, 7649, 2655, 4587, 6027, 10632, 34051, 6075, 12447, 11778, 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"text": "طبعا موقع ال instant representation بتغير مع الزمن بتغير مع الزمن الان الصورة عند ال NC بتكون تساوي صفر", "tokens": [9566, 3555, 3615, 995, 3714, 30543, 3615, 2423, 9836, 10290, 39894, 17082, 13546, 20449, 6024, 110, 27842, 39894, 17082, 13546, 20449, 6024, 110, 27842, 2423, 7649, 31767, 13063, 3660, 43242, 2423, 20786, 39894, 30544, 6055, 3794, 995, 45865, 20328, 5172, 2288], "avg_logprob": -0.25427828587236856, "compression_ratio": 1.3636363636363635, "no_speech_prob": 0.0, "words": [{"start": 522.74, "end": 523.22, "word": "طبعا", "probability": 0.894287109375}, {"start": 523.22, "end": 524.28, "word": " موقع", "probability": 0.7857259114583334}, {"start": 524.28, "end": 524.48, "word": " ال", "probability": 0.470947265625}, {"start": 524.48, "end": 524.74, "word": " instant", "probability": 0.46044921875}, {"start": 524.74, "end": 525.32, "word": " representation", "probability": 0.2203369140625}, {"start": 525.32, "end": 526.88, "word": " بتغير", "probability": 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زيرو", "probability": 0.8450520833333334}, {"start": 2310.26, "end": 2311.02, "word": " فهتكون", "probability": 0.8505859375}, {"start": 2311.02, "end": 2311.2, "word": " على", "probability": 0.7783203125}, {"start": 2311.2, "end": 2311.76, "word": " الأغلب", "probability": 0.9558919270833334}, {"start": 2311.76, "end": 2313.02, "word": " ال", "probability": 0.494140625}, {"start": 2313.02, "end": 2313.22, "word": " ..", "probability": 0.63671875}, {"start": 2313.22, "end": 2313.52, "word": " حتى", "probability": 0.627685546875}, {"start": 2313.52, "end": 2313.68, "word": " على", "probability": 0.87451171875}, {"start": 2313.68, "end": 2313.9, "word": " الأغلب", "probability": 0.9827473958333334}, {"start": 2313.9, "end": 2314.38, "word": " هتكون", "probability": 0.9754231770833334}, {"start": 2314.38, "end": 2316.04, "word": " السنة", "probability": 0.7312825520833334}, {"start": 2316.04, "end": 2317.82, "word": " السايدة", "probability": 0.80126953125}, {"start": 2317.82, "end": 2320.46, "word": " program", "probability": 0.884765625}], "temperature": 1.0}, {"id": 80, "seek": 234560, "start": 2326.86, "end": 2345.6, "text": "باستخدام MATLAB او Mathematica روح ال Mathematica شغالة هي وانا لأ بخد نشوف بس", "tokens": [3555, 995, 14851, 9778, 3215, 10943, 5904, 11435, 33, 1975, 2407, 15776, 8615, 2262, 12602, 2407, 5016, 2423, 15776, 8615, 2262, 13412, 17082, 6027, 3660, 39896, 4032, 7649, 995, 5296, 10721, 4724, 9778, 3215, 8717, 8592, 38688, 4724, 3794], "avg_logprob": -0.36347656399011613, "compression_ratio": 1.116504854368932, "no_speech_prob": 0.0, "words": [{"start": 2326.86, "end": 2327.92, "word": "باستخدام", "probability": 0.9745279947916666}, {"start": 2327.92, "end": 2328.98, "word": " MATLAB", "probability": 0.7131754557291666}, {"start": 2328.98, "end": 2333.52, "word": " او", "probability": 0.716552734375}, {"start": 2333.52, "end": 2337.1, "word": " Mathematica", "probability": 0.8370768229166666}, {"start": 2337.1, "end": 2341.9, "word": " روح", "probability": 0.3210856119791667}, {"start": 2341.9, "end": 2342.06, "word": " ال", "probability": 0.6796875}, {"start": 2342.06, "end": 2342.36, "word": " Mathematica", "probability": 0.8948567708333334}, {"start": 2342.36, "end": 2342.78, "word": " شغالة", "probability": 0.9278564453125}, {"start": 2342.78, "end": 2342.88, "word": " هي", "probability": 0.44384765625}, {"start": 2342.88, "end": 2343.04, "word": " وانا", "probability": 0.500244140625}, {"start": 2343.04, "end": 2343.58, "word": " لأ", "probability": 0.9765625}, {"start": 2343.58, "end": 2344.76, "word": " بخد", "probability": 0.5770670572916666}, {"start": 2344.76, "end": 2345.08, "word": " نشوف", "probability": 0.9093424479166666}, {"start": 2345.08, "end": 2345.6, "word": " بس", "probability": 0.99365234375}], "temperature": 1.0}, {"id": 81, "seek": 241423, "start": 2390.63, "end": 2414.23, "text": "يعني ممكن مرة جاية نعملها على Mathematica طيب هي تاخد وقت فعملوها على Mathematica او على MathLab هيكم خلصوا المحاضرة عطيكم العافية", "tokens": [40228, 22653, 3714, 43020, 3714, 25720, 10874, 995, 10632, 8717, 25957, 1211, 11296, 15844, 15776, 8615, 2262, 23032, 1829, 3555, 39896, 6055, 47283, 3215, 4032, 38149, 6156, 25957, 1211, 2407, 11296, 15844, 15776, 8615, 2262, 1975, 2407, 15844, 15776, 37880, 39896, 24793, 16490, 1211, 9381, 14407, 9673, 5016, 46958, 25720, 6225, 9566, 1829, 24793, 18863, 31845, 10632], "avg_logprob": -0.269800642441059, "compression_ratio": 1.4893617021276595, "no_speech_prob": 0.0, "words": [{"start": 2390.63, "end": 2390.91, "word": "يعني", "probability": 0.950927734375}, {"start": 2390.91, "end": 2391.17, "word": " ممكن", "probability": 0.9521484375}, {"start": 2391.17, "end": 2391.39, "word": " مرة", "probability": 0.734619140625}, {"start": 2391.39, "end": 2391.75, "word": " جاية", "probability": 0.6814778645833334}, {"start": 2391.75, "end": 2392.33, "word": " نعملها", "probability": 0.9576416015625}, {"start": 2392.33, "end": 2392.43, "word": " على", "probability": 0.69873046875}, {"start": 2392.43, "end": 2399.03, "word": " Mathematica", "probability": 0.7491048177083334}, {"start": 2399.03, "end": 2405.41, "word": " طيب", "probability": 0.9677734375}, {"start": 2405.41, "end": 2406.07, "word": " هي", "probability": 0.377197265625}, {"start": 2406.07, "end": 2406.43, "word": " تاخد", "probability": 0.7621256510416666}, {"start": 2406.43, "end": 2406.69, "word": " وقت", "probability": 0.9951171875}, {"start": 2406.69, "end": 2407.69, "word": " فعملوها", "probability": 0.847412109375}, {"start": 2407.69, "end": 2407.81, "word": " على", "probability": 0.90673828125}, {"start": 2407.81, "end": 2408.49, "word": " Mathematica", "probability": 0.8986002604166666}, {"start": 2408.49, "end": 2410.13, "word": " او", "probability": 0.6737060546875}, {"start": 2410.13, "end": 2410.27, "word": " على", "probability": 0.89990234375}, {"start": 2410.27, "end": 2410.83, "word": " MathLab", "probability": 0.613037109375}, {"start": 2410.83, "end": 2412.73, "word": " هيكم", "probability": 0.355712890625}, {"start": 2412.73, "end": 2413.17, "word": " خلصوا", "probability": 0.80255126953125}, {"start": 2413.17, "end": 2413.55, "word": " المحاضرة", "probability": 0.9771728515625}, {"start": 2413.55, "end": 2413.79, "word": " عطيكم", "probability": 0.6881103515625}, {"start": 2413.79, "end": 2414.23, "word": " العافية", "probability": 0.6607259114583334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2414.411, "duration_after_vad": 2048.6324999999915}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/HJmZFB1prD8_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/HJmZFB1prD8_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..5c45cd72c7f5bb804793c74c9a8f5fbecd516a1f
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/HJmZFB1prD8_raw.srt
@@ -0,0 +1,1280 @@
+1
+00:00:05,060 --> 00:00:07,720
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,720 --> 00:00:12,440
+وبركاته هنكمل في مادة ال dynamics المحاضرات الفاتة
+
+3
+00:00:12,440 --> 00:00:19,220
+بدأنا في ال kinematics of rigid bodies حكينا عن
+
+4
+00:00:19,220 --> 00:00:23,960
+الأنواع الحركة ممكن تكون الجسم حركته حركة انتقالية
+
+5
+00:00:23,960 --> 00:00:28,260
+فقط درستا الحركة الانتقالية أو pure rotation درستا
+
+6
+00:00:28,260 --> 00:00:32,420
+الحركة الدورانيةأو general plan motion حركة في
+
+7
+00:00:32,420 --> 00:00:37,420
+المستوى اللي هو فيها بيكون دوران وانتقال ودرسنا
+
+8
+00:00:37,420 --> 00:00:40,640
+اللي هي relative velocity method لعملية ال general
+
+9
+00:00:40,640 --> 00:00:46,940
+plan motion جزئين جزء انتقالي وجزء دوراني فكنت
+
+10
+00:00:46,940 --> 00:00:53,140
+أدرس two particles على ال rigid bodyبس احط نقطتين
+
+11
+00:00:53,140 --> 00:00:58,020
+نقطة a و نقطة b احكي vb بيستوى va زي vba اليوم
+
+12
+00:00:58,020 --> 00:01:01,520
+هنكمل طريقة تانية ما يسمى instantaneous center of
+
+13
+00:01:01,520 --> 00:01:05,500
+rotation in plan motion اللي هو مركز الدوران
+
+14
+00:01:05,500 --> 00:01:13,780
+اللحظي الان اذا جسم بتحرك حركة فيها انتقال و دوران
+
+15
+00:01:15,310 --> 00:01:20,810
+لحظيا هي فعلا بتكون عبارة عن rotation حوالين مركز
+
+16
+00:01:20,810 --> 00:01:29,070
+بتغير موقع من لحظة للحظة يعني لو أخدنا دولاب سيارة
+
+17
+00:01:41,130 --> 00:01:46,750
+و بمشي بلف بده حركة ده أخرجية مافيه sliding سرعة
+
+18
+00:01:46,750 --> 00:01:55,370
+النقطة هذه C VC إيش متساوي؟ صفر في ال rotation ده
+
+19
+00:01:55,370 --> 00:02:01,990
+من إذا عندي اناش بدور سرعة
+
+20
+00:02:01,990 --> 00:02:05,030
+النقطة اللي هنا اللي عند محمد ورا إيش متساوي؟ صفر
+
+21
+00:02:05,030 --> 00:02:13,890
+معناته الدلاب هذا لحظيابدور حوالين ال center هذا
+
+22
+00:02:13,890 --> 00:02:20,770
+بدور حوالين ال center هذا الان هذه الدولاب حركته
+
+23
+00:02:20,770 --> 00:02:24,110
+general plan motion يعني في translation وفي
+
+24
+00:02:24,110 --> 00:02:28,670
+rotation بعد شوية هصير نقطة C هنا يعني هصير يعني
+
+25
+00:02:28,670 --> 00:02:35,790
+بتغير موقع ال instance center فمعناته بعتبر كأنه
+
+26
+00:02:35,790 --> 00:02:41,330
+الجسم في اللحظة هذه كأنه هذه ايه
+
+27
+00:02:44,090 --> 00:02:51,150
+VA كأن البطولة حوالي نقطة C هتكون VA هدى R سوى
+
+28
+00:02:51,150 --> 00:03:00,350
+Omega VR لحظة
+
+29
+00:03:00,350 --> 00:03:09,630
+صورة النقطة A عمودية على الخط الواصل بين ال center
+
+30
+00:03:09,630 --> 00:03:15,590
+of rotation ونقطة تحت الدراسةيعني لو حكيت نقطة هنا
+
+31
+00:03:15,590 --> 00:03:29,970
+بي في اللحظة هذه هتكون VB هيتجاهها لو
+
+32
+00:03:29,970 --> 00:03:37,270
+أخدت نقطة نقطة هنا دي
+
+33
+00:03:37,270 --> 00:03:49,300
+هذه VDلأن الجسم لحظيا في حالة دوران حوال نقطة C زي
+
+34
+00:03:49,300 --> 00:03:56,240
+النقطة الحاله هذه VA عمودي
+
+35
+00:03:56,240 --> 00:04:01,380
+على الخط الواصل معناته
+
+36
+00:04:01,380 --> 00:04:07,080
+إذا أنا عندي جسم أي
+
+37
+00:04:07,080 --> 00:04:07,520
+جسم
+
+38
+00:04:12,210 --> 00:04:14,730
+في general plan motion يعني في translation و
+
+39
+00:04:14,730 --> 00:04:20,950
+rotation و عندها نقطة a و نقطة b مازال في عندي
+
+40
+00:04:20,950 --> 00:04:25,950
+translation و rotation معناته لو كانت هذه اتجاه va
+
+41
+00:04:25,950 --> 00:04:29,030
+وهذه
+
+42
+00:04:29,030 --> 00:04:39,720
+اتجاه vb واضح الاتجاه او قيمة vaمختلفة عن اتجاه او
+
+43
+00:04:39,720 --> 00:04:44,640
+قيمة VBA معناته في عندي translation وفي rotation
+
+44
+00:04:44,640 --> 00:04:52,920
+اللي احنا حكينا الخط الواصل من مركز الدوران اللحظي
+
+45
+00:04:52,920 --> 00:04:58,460
+والسرعة عند النقطة اللي بدرستها بتكون عمودي معناته
+
+46
+00:04:58,460 --> 00:05:04,340
+ال center of rotation في اللحظة دي هكون واقع
+
+47
+00:05:08,050 --> 00:05:21,810
+ع الخط هذا طيب نقطة بيه لو رسمت عمودي الان
+
+48
+00:05:21,810 --> 00:05:29,570
+مركز دور اللحظة واقع الخط هذا واقع الخط هذا معناته
+
+49
+00:05:29,570 --> 00:05:35,730
+هتكون تطلع طول الخطين معناته هذا ايش هذا
+
+50
+00:05:35,730 --> 00:05:48,020
+مركز دوراناللحظة مركز دوران اللحظة طيب
+
+51
+00:05:48,020 --> 00:05:51,560
+هذه
+
+52
+00:05:51,560 --> 00:05:56,980
+حكيناها الان
+
+53
+00:05:56,980 --> 00:06:02,880
+ممكن يكون الصراعات متوازن زي ما احنا شايفين VA
+
+54
+00:06:02,880 --> 00:06:13,020
+نفس اتجاه VBقيمتها مختلفة عن VA انا هعمل عمودي هذا
+
+55
+00:06:13,020 --> 00:06:20,100
+عمودي لان ك vector هذا القيمة هتكون مختلفة بوصل ال
+
+56
+00:06:20,100 --> 00:06:24,360
+tips مع بعض موجد ال instance center of rotation
+
+57
+00:06:24,360 --> 00:06:29,780
+انشوف
+
+58
+00:06:29,780 --> 00:06:35,960
+الحالة هذه عندنا رد او
+
+59
+00:06:35,960 --> 00:06:37,420
+باين عند رد
+
+60
+00:06:40,410 --> 00:06:47,930
+موصول ب block عند a و block عند b النقطة عند a هنا
+
+61
+00:06:47,930 --> 00:06:50,870
+طبعا هي في pin النقطة عند a هتكون هاي اتجاه va
+
+62
+00:06:50,870 --> 00:06:59,890
+النقطة عند b هي vb لأن va قيمتها او اتجاهها او
+
+63
+00:06:59,890 --> 00:07:05,230
+التانين مع بعض مختلفة عن vb معناته هتكون الرد هذا
+
+64
+00:07:05,960 --> 00:07:09,420
+حركته general plan motion فى translation فى
+
+65
+00:07:09,420 --> 00:07:15,340
+rotation لإن لو عملت عمود على VA و عمود على VB
+
+66
+00:07:15,340 --> 00:07:20,160
+تقطع بوجود مركز دوران في اللحظة هذه بعد شوية
+
+67
+00:07:20,160 --> 00:07:31,120
+هيتغير موقعها هتكون VA Omega في ACVA بستو أمجا في
+
+68
+00:07:31,120 --> 00:07:39,380
+AC أو أمجا بستو VA على AC و AC هاي و AC لو كانت
+
+69
+00:07:39,380 --> 00:07:43,800
+الزرعه هتكون L Cos θ هتكون أمجا بستو VA على L Cos
+
+70
+00:07:43,800 --> 00:07:51,480
+θ و VB قيمتها بستو أمجا
+
+71
+00:07:51,480 --> 00:07:59,840
+في BC و BC عبارة عن ايشالـ sin θ احنا رودي حكينا
+
+72
+00:07:59,840 --> 00:08:07,680
+انه omega بيستوى VA على L cos θ يعني L مع L بيصير
+
+73
+00:08:07,680 --> 00:08:13,580
+VA sin θ على L cos θ يعني tan θ فهي هتصير VA tan θ
+
+74
+00:08:13,580 --> 00:08:19,560
+لو
+
+75
+00:08:19,560 --> 00:08:24,120
+بده نقطة هنا او يوجد صراعتها في النص بوصل بين
+
+76
+00:08:24,120 --> 00:08:29,850
+النقطة ديوبعمل عمود عليها بوجيه تجاه صراط VC
+
+77
+00:08:42,740 --> 00:08:50,020
+طبعا موقع ال instant representation بتغير مع الزمن
+
+78
+00:08:50,020 --> 00:08:55,400
+بتغير مع الزمن الان الصورة عند ال NC بتكون تساوي
+
+79
+00:08:55,400 --> 00:09:00,810
+صفرلا يعني السرعة صفر ان ال acceleration صفر
+
+80
+00:09:00,810 --> 00:09:03,850
+acceleration بشكل عام ما بتكون صفر acceleration
+
+81
+00:09:03,850 --> 00:09:09,250
+بتعبر عن تغير في السرعة سواء كان تغير في الاتجاه
+
+82
+00:09:09,250 --> 00:09:13,530
+او تغير في القيمة او تغير في التاني يعني في
+
+83
+00:09:13,530 --> 00:09:21,130
+الاتجاه و القيمة هذه هي ال acceleration طيب
+
+84
+00:09:21,130 --> 00:09:21,870
+نشوف مثال
+
+85
+00:09:27,170 --> 00:09:39,050
+ان ال double gear اللي احنا شايفينه the double
+
+86
+00:09:39,050 --> 00:09:42,390
+gear rolls on the stationary lower rack الراك
+
+87
+00:09:42,390 --> 00:09:46,610
+السفلي ثابت the velocity of its center is one
+
+88
+00:09:46,610 --> 00:09:49,650
+point two meters per second سرعة مركز الترس واحد و
+
+89
+00:09:49,650 --> 00:09:53,890
+عشرة متر في التانية قوة السرعة الزاوية للجير
+
+90
+00:09:57,020 --> 00:10:06,780
+هنا هاي ال terrace هاي
+
+91
+00:10:06,780 --> 00:10:12,380
+ال lower rack وعندي
+
+92
+00:10:12,380 --> 00:10:19,100
+ال upper rack وعندي
+
+93
+00:10:19,100 --> 00:10:28,100
+مركز هادي VAقصة واحد اتنين عشرة متر per second
+
+94
+00:10:28,100 --> 00:10:31,980
+وهذه
+
+95
+00:10:31,980 --> 00:10:36,040
+R واحد وهذه
+
+96
+00:10:36,040 --> 00:10:46,420
+R اتنين وR واحد مية وخمسين ملي وR
+
+97
+00:10:46,420 --> 00:10:49,040
+اتنين ميت ملي
+
+98
+00:10:54,730 --> 00:11:07,110
+هذه النقطة A، C، B وهذه D نحكي
+
+99
+00:11:07,110 --> 00:11:10,450
+هنا VC إيش يساوي؟ سفر
+
+100
+00:11:14,050 --> 00:11:23,430
+معناته C هي is ال instant center of rotation C هي
+
+101
+00:11:23,430 --> 00:11:29,090
+ال instant center of rotation معناته VA ايش يستوي
+
+102
+00:11:29,090 --> 00:11:32,850
+Omega
+
+103
+00:11:32,850 --> 00:11:42,480
+في R واحد صح؟ مظبوط؟ يعني Omegaهتكون سوى VA اللي
+
+104
+00:11:42,480 --> 00:11:47,400
+هي واحد point اتنين على R واحد اللي هي point واحد
+
+105
+00:11:47,400 --> 00:11:58,120
+خمسة تطلع تمانية radian per second clockwise
+
+106
+00:11:58,120 --> 00:12:02,140
+المطلوب
+
+107
+00:12:02,140 --> 00:12:06,800
+التاني the velocities of the upper rack صورة الراك
+
+108
+00:12:06,800 --> 00:12:10,740
+اللي علوية هتكون ان هي نفسها VB صح؟ VB
+
+109
+00:12:17,040 --> 00:12:23,560
+هتكون R1 زاد R2 في Omega لأنه لحظيا بدور حلو نقطة
+
+110
+00:12:23,560 --> 00:12:35,780
+C هتكون R1 زاد R2 في Omega يعني هتكون تساوي R1
+
+111
+00:12:35,780 --> 00:12:43,620
+اللي هي point واحد خمسة زاد point one في Omega
+
+112
+00:12:43,620 --> 00:12:52,840
+اللي هي عياشتمانية يعني هتكون اتنين meter per
+
+113
+00:12:52,840 --> 00:13:00,740
+second طيب ال VD هتستوى
+
+114
+00:13:00,740 --> 00:13:13,340
+ايش ال VD؟ ال Omega في ال R من C ل D صح؟ طيب ال
+
+115
+00:13:13,340 --> 00:13:14,500
+RCD ايش بتستوي؟
+
+116
+00:13:23,770 --> 00:13:27,250
+نص القطر عندك R واحد تربيه زاد R واحد تربيه تحت
+
+117
+00:13:27,250 --> 00:13:33,530
+الجزر يعني جزر اتنين اه صح بس هو جزر اتنين R واحد
+
+118
+00:13:33,530 --> 00:13:41,850
+يعني هتكون جزر اتنين في R واحد اللي هي مية و خمسين
+
+119
+00:13:41,850 --> 00:13:51,670
+يعني
+
+120
+00:13:51,670 --> 00:13:53,110
+هتكون اكم
+
+121
+00:14:00,740 --> 00:14:05,400
+يعني ال VB او ال VD هتكون تساوي Omega اللي هي
+
+122
+00:14:05,400 --> 00:14:14,480
+التمانية في point اتنين واحد اتنين هيكون تسعة ستة
+
+123
+00:14:14,480 --> 00:14:19,880
+متر
+
+124
+00:14:19,880 --> 00:14:28,380
+per second تعمل زاوية خمس
+
+125
+00:14:28,380 --> 00:14:37,190
+واربعينلأنها هتكون هذه
+
+126
+00:14:37,190 --> 00:14:42,710
+خمس واربين يعني هتكون هذه VD هتكون
+
+127
+00:14:42,710 --> 00:14:48,870
+تعمل خمس واربين درجة مع الأفرق يعني في
+
+128
+00:14:48,870 --> 00:14:52,070
+أي سؤال؟
+
+129
+00:14:52,070 --> 00:14:55,450
+شوف
+
+130
+00:14:55,450 --> 00:14:57,810
+مثال تاني، هذ مثال حلو بس هنحله على ال instance
+
+131
+00:14:57,810 --> 00:14:58,250
+center
+
+132
+00:15:12,630 --> 00:15:14,370
+عندي slathery crank mechanism
+
+133
+00:15:51,410 --> 00:16:03,550
+ال R هذه النقطة A B D
+
+134
+00:16:03,550 --> 00:16:09,050
+هذه R
+
+135
+00:16:09,050 --> 00:16:18,970
+هذه L ال R تلاتة إنش وال L تمانية إنش
+
+136
+00:16:22,830 --> 00:16:32,690
+الكرانك AB لديه كونستانت كلوكوايز omega
+
+137
+00:16:32,690 --> 00:16:36,450
+عندي
+
+138
+00:16:36,450 --> 00:16:43,010
+omega AB ألفين
+
+139
+00:16:43,010 --> 00:16:49,190
+RPM حول
+
+140
+00:16:49,190 --> 00:16:53,790
+ال radius per second ربع اتنين باية على ستينأكام
+
+141
+00:16:53,790 --> 00:17:02,390
+تطلع؟
+
+142
+00:17:02,390 --> 00:17:11,830
+ألفين
+
+143
+00:17:11,830 --> 00:17:17,450
+ضرب اتنين بقى ع ستين اتنين
+
+144
+00:17:17,450 --> 00:17:18,330
+وتسعة
+
+145
+00:17:23,270 --> 00:17:34,250
+radian per second clockwise for
+
+146
+00:17:34,250 --> 00:17:38,010
+the crank position indicated فى الوضية لما كانت
+
+147
+00:17:38,010 --> 00:17:41,650
+زوايا أربعين درجة determine the angular velocity
+
+148
+00:17:41,650 --> 00:17:46,330
+of the connecting rod BD الان BD الان ال crank هدى
+
+149
+00:17:46,330 --> 00:17:50,190
+pure rotation حوالى نقطة A صح ال slider
+
+150
+00:17:50,190 --> 00:17:55,380
+translationال connecting rod هيكون التنين general
+
+151
+00:17:55,380 --> 00:18:10,180
+plan motion translation او rotation لان هي VD هي
+
+152
+00:18:10,180 --> 00:18:20,820
+نقطتين على ال connecting rod في هي VD و
+
+153
+00:18:20,820 --> 00:18:21,280
+VB
+
+154
+00:18:35,540 --> 00:18:42,820
+هذه الزاوية كم هتكون؟ اربعين عشان اوجي ال instance
+
+155
+00:18:42,820 --> 00:18:45,900
+rotation ل ال connecting point B دي هعمل عمودي على
+
+156
+00:18:45,900 --> 00:18:54,160
+VD و
+
+157
+00:18:54,160 --> 00:19:02,440
+عمودي على VB يعني امتدادها دي صح؟ هذه
+
+158
+00:19:02,440 --> 00:19:02,780
+ال C
+
+159
+00:19:06,440 --> 00:19:15,100
+اللي هي C هتكون is ال instant center of rotation
+
+160
+00:19:15,100 --> 00:19:21,120
+of connecting rod BD
+
+161
+00:19:37,250 --> 00:19:46,030
+طيب VB إيش قبلتها بالساوية VB
+
+162
+00:19:46,030 --> 00:19:53,650
+ما هي نقطة B واقع برضه على AB VB بالساوية Omega AB
+
+163
+00:19:53,650 --> 00:19:56,350
+في R
+
+164
+00:19:59,150 --> 00:20:07,050
+وميجا اي بي اللي هي متين وتسعة point four درد R
+
+165
+00:20:07,050 --> 00:20:13,650
+اللي هي تلاتة تطلع تلاتة باربعة باطناش تلاتة وتسعة
+
+166
+00:20:13,650 --> 00:20:22,650
+بتمانية وعشرين تلاتة واتنين ستة عشان
+
+167
+00:20:22,650 --> 00:20:29,330
+المشكلةمش بالضرورة لأ .. مش بالضرورة لأ .. مش
+
+168
+00:20:29,330 --> 00:20:33,070
+بالضرورة لأ .. ممكن تضلها بالانش هذا هتكون inch
+
+169
+00:20:33,070 --> 00:20:37,750
+per
+
+170
+00:20:37,750 --> 00:20:42,550
+second و
+
+171
+00:20:42,550 --> 00:20:44,030
+بتعمل زاوية مع الرأس
+
+172
+00:20:55,520 --> 00:20:59,660
+اربعية درجة برضه
+
+173
+00:20:59,660 --> 00:21:05,260
+بي واقع على ال connecting rod بي دي وهي مكسورة بي
+
+174
+00:21:05,260 --> 00:21:12,560
+دي بيعني برضه VB بسوء Omega لل connecting rod بي
+
+175
+00:21:12,560 --> 00:21:22,000
+دي في المسافة اللي هي ال بي C بيعني
+
+176
+00:21:22,000 --> 00:21:23,100
+Omega بي دي
+
+177
+00:21:27,540 --> 00:21:40,140
+هتكون تستاوي Vb على Vc معناه مطلوب ان احسب ال Vc
+
+178
+00:21:40,140 --> 00:21:43,600
+طيب
+
+179
+00:21:43,600 --> 00:21:46,780
+انا
+
+180
+00:21:46,780 --> 00:21:53,980
+عارف ال R تلاتة انش و ال L تمانية انش مطلوب احسب
+
+181
+00:21:53,980 --> 00:21:57,120
+زاوية صح دي احسب زاوية هادة
+
+182
+00:22:01,060 --> 00:22:09,700
+سميها Beta كيف يمكن أحصل زي هذا Beta؟
+
+183
+00:22:09,700 --> 00:22:13,200
+لو
+
+184
+00:22:13,200 --> 00:22:23,140
+حكيت هذا نقطة ايه؟ لو خدنا المثلث .. المثلث AAB ..
+
+185
+00:22:23,140 --> 00:22:26,240
+AAB
+
+186
+00:22:26,240 --> 00:22:29,040
+الـ BA شو ساوي؟
+
+187
+00:22:35,690 --> 00:22:46,650
+هذه so R sin 40 صح لغة
+
+188
+00:22:46,650 --> 00:22:51,230
+المثلث DEP
+
+189
+00:22:51,230 --> 00:22:55,990
+برضه
+
+190
+00:22:55,990 --> 00:22:59,830
+فيه BE موجود فيه صح بي إيه أشهر ساوية
+
+191
+00:23:03,230 --> 00:23:11,850
+So L Sin Beta صح؟معناته
+
+192
+00:23:11,850 --> 00:23:22,630
+هتكون دي R Sin الأربعين So L Sin البيتا معناته Sin
+
+193
+00:23:22,630 --> 00:23:31,680
+البيتا هتكون تلاتة Sin الأربعينعلى تمانية معناته
+
+194
+00:23:31,680 --> 00:23:38,000
+منها بحسب ال beta اللي هي ال sign inverse ل تلاتة
+
+195
+00:23:38,000 --> 00:23:42,040
+ال sign الأربعين على
+
+196
+00:23:42,040 --> 00:23:45,360
+تمانية degrees
+
+197
+00:24:11,640 --> 00:24:21,900
+طيب معناته ال .. المسافة a دي إيش بتساوي؟ بتساوي
+
+198
+00:24:21,900 --> 00:24:30,200
+R كوصين الأربعين حتى ال a دي بتساوي اللي هي aE زاد
+
+199
+00:24:30,200 --> 00:24:38,800
+e دي صح؟ ال aE اللي هي بقرع ال R كوصين الأربعين و
+
+200
+00:24:38,800 --> 00:24:45,370
+ال e دي اللي هي Lقصين ال beta يعني هيكون تلاتة
+
+201
+00:24:45,370 --> 00:24:52,830
+قصين الأربعين زائد تمانية زائد قصين تلتاش point
+
+202
+00:24:52,830 --> 00:24:57,430
+تسعة عشرة
+
+203
+00:24:57,430 --> 00:25:03,070
+بالظبط عشرة
+
+204
+00:25:03,070 --> 00:25:13,190
+point او في رقم بعده انش هذا ال a ديبعد اذا أخدت
+
+205
+00:25:13,190 --> 00:25:18,450
+المثلث a
+
+206
+00:25:18,450 --> 00:25:24,130
+d c صحيح دايما تاخد مثلث قائمة زاوية خلي الزاوية
+
+207
+00:25:24,130 --> 00:25:32,090
+القائمة في النص ماتكيش a c dك a d c او c d e c d a
+
+208
+00:25:32,090 --> 00:25:46,230
+المثلث a d c واستخدم الان ال c دي اش في الساوية ال
+
+209
+00:25:46,230 --> 00:25:50,750
+c دي اش في الساوية
+
+210
+00:25:50,750 --> 00:25:57,590
+الان
+
+211
+00:25:59,030 --> 00:26:03,710
+انت عندك تاني لاربين اشو يساوي؟ تاني لاربين اشو
+
+212
+00:26:03,710 --> 00:26:08,850
+يساوي؟ بالسواء
+
+213
+00:26:08,850 --> 00:26:18,350
+اللي هو CD على AD صح؟معنى ال CD هيكون AD اللي هو
+
+214
+00:26:18,350 --> 00:26:24,890
+عشرة point O ستة تلاتة في تاني لاربين
+
+215
+00:26:31,280 --> 00:26:43,420
+تمانية point اربعة اربعة اربعة انش هذا ال c دي
+
+216
+00:26:43,420 --> 00:26:50,820
+ال a c فيه
+
+217
+00:26:50,820 --> 00:26:56,420
+تغورث جزر تربيعي ال a d تربيع
+
+218
+00:26:58,900 --> 00:27:04,900
+زاد CD تربيع ال
+
+219
+00:27:04,900 --> 00:27:11,700
+AD اللي هي عشرة point زاد
+
+220
+00:27:11,700 --> 00:27:21,560
+تمانية point اربع اربع تلاتة تربيع حسابي تلاتاش
+
+221
+00:27:21,560 --> 00:27:26,700
+point تلاتاش كم الرقم انش
+
+222
+00:27:29,460 --> 00:27:35,820
+هذه ال AC
+
+223
+00:27:35,820 --> 00:27:45,240
+ال BC ايش يساوي ال BC نقص
+
+224
+00:27:45,240 --> 00:27:50,380
+R ال AC
+
+225
+00:27:50,380 --> 00:27:56,040
+اللي هي تلتاش ناقص
+
+226
+00:27:56,040 --> 00:27:56,580
+تلاتة
+
+227
+00:28:04,220 --> 00:28:11,420
+معناته omega b دي هتساوي vb على pc هتساوي vb اللي
+
+228
+00:28:11,420 --> 00:28:17,460
+هي ستمية و تمانية و عشرين point اتنين على عشرة
+
+229
+00:28:17,460 --> 00:28:24,060
+point واحد تلاتة خمسة
+
+230
+00:28:24,060 --> 00:28:28,340
+ايه كان بيطلع واحد
+
+231
+00:28:28,340 --> 00:28:33,300
+ستين radian
+
+232
+00:28:34,410 --> 00:28:38,590
+per second clockwise و لا counter clockwise هاي
+
+233
+00:28:38,590 --> 00:28:42,330
+الدوران صح
+
+234
+00:28:42,330 --> 00:28:49,410
+هتكون counter clockwise هذا
+
+235
+00:28:49,410 --> 00:28:56,710
+المطلوب الأول المطلوب التاني نحسب VD كيف نحسب VD
+
+236
+00:28:56,710 --> 00:29:03,150
+VD
+
+237
+00:29:04,280 --> 00:29:12,700
+وقع ال link بي دي او نقطة D وقع ال link بي دي وين
+
+238
+00:29:12,700 --> 00:29:21,360
+مركز دولة انتها؟ معناة VD ايش بالساوية؟ VD او
+
+239
+00:29:21,360 --> 00:29:25,440
+Omega VD
+
+240
+00:29:25,440 --> 00:29:28,460
+في المسافة CD
+
+241
+00:29:31,600 --> 00:29:38,220
+يعني الـ omega P دي ليه واحد ستين في
+
+242
+00:29:38,220 --> 00:29:46,580
+الـ C دي ليه تمانية point؟ أربعة أربعة تلاتة كم
+
+243
+00:29:46,580 --> 00:29:56,520
+تطلع؟ خمسمية انش
+
+244
+00:29:56,520 --> 00:29:57,260
+بيرسة كده
+
+245
+00:30:06,470 --> 00:30:10,030
+منعته باستخدام ال method instancecenter اعملت
+
+246
+00:30:10,030 --> 00:30:20,650
+تحليل سرعات حسبت سرعات at any position ممكن
+
+247
+00:30:20,650 --> 00:30:24,190
+احاوله
+
+248
+00:30:24,190 --> 00:30:32,970
+general خليها دي theta هتكون
+
+249
+00:30:32,970 --> 00:30:39,070
+عنديV بيس Omega AB في R هذه بعد الأربعين هتكون
+
+250
+00:30:39,070 --> 00:30:46,230
+Theta صح؟
+
+251
+00:30:46,230 --> 00:30:57,770
+يعني لو بدي أحلها يعني
+
+252
+00:30:57,770 --> 00:31:02,490
+هي Omega given
+
+253
+00:31:02,490 --> 00:31:02,810
+هذه
+
+254
+00:31:07,120 --> 00:31:10,840
+C هتكون is the instant central rotation هذا
+
+255
+00:31:10,840 --> 00:31:22,680
+الزاوية هسميها أيش؟ ثيتا وهذه ثيتا
+
+256
+00:31:22,680 --> 00:31:32,880
+هتكون هذه V بيس Omega AB وتعمل
+
+257
+00:31:32,880 --> 00:31:33,340
+زاوية
+
+258
+00:31:38,910 --> 00:31:48,970
+مع رأس الـ Theta و Omega بدي بيسوى VB على
+
+259
+00:31:48,970 --> 00:31:53,010
+VC هذه
+
+260
+00:31:53,010 --> 00:32:04,950
+هتصير ال B هتكون R Sin Theta هذه
+
+261
+00:32:04,950 --> 00:32:06,090
+R Sin Theta
+
+262
+00:32:12,470 --> 00:32:22,110
+و Beta بيساوي R على
+
+263
+00:32:22,110 --> 00:32:26,550
+L Sine
+
+264
+00:32:26,550 --> 00:32:30,150
+Theta
+
+265
+00:32:30,150 --> 00:32:33,970
+معناته Beta بيساوي Sine Inverse
+
+266
+00:32:41,280 --> 00:32:49,960
+I θ وهين R وهين L ال
+
+267
+00:32:49,960 --> 00:32:53,500
+A D بالسواء
+
+268
+00:32:53,500 --> 00:33:07,260
+ال A D A E زي E D بالسواء R Cos θ زي L Cos β
+
+269
+00:33:12,550 --> 00:33:22,970
+بعدين tan theta سوى
+
+270
+00:33:22,970 --> 00:33:35,910
+cd على ad معناته cd بس او ad tan
+
+271
+00:33:35,910 --> 00:33:41,390
+thetaبعدين a c زي تربيع لا a دي تربيع زي c دي
+
+272
+00:33:41,390 --> 00:33:46,090
+تربيع و
+
+273
+00:33:46,090 --> 00:33:54,450
+ال b c بيسوو a c ناقص r بعدين
+
+274
+00:33:54,450 --> 00:34:05,050
+ال omega b دي بيسوو v b على b c طيب
+
+275
+00:34:05,050 --> 00:34:14,950
+بعدين ال v ديSo Omega BD في الـ C D اللي احنا
+
+276
+00:34:14,950 --> 00:34:30,750
+حسبناها معناته ممكن ا plot ممكن ا plot لأ
+
+277
+00:34:30,750 --> 00:34:37,150
+Omega BD versus
+
+278
+00:34:39,130 --> 00:34:48,010
+ثيتا والثيتا من صفر لاتنين
+
+279
+00:34:48,010 --> 00:34:54,770
+باي من صفر لتلت مئو ستين درجة ممكن اعمل plot لل
+
+280
+00:34:54,770 --> 00:35:04,230
+video versus ثيتا ونسيتش الثيتا اكتر صح زيرو
+
+281
+00:35:05,680 --> 00:35:12,440
+الاتنين by يعني صارت المسألة parametric يعني بدلات
+
+282
+00:35:12,440 --> 00:35:20,220
+المتغير theta طبعا ال theta لو كان في عندي alpha
+
+283
+00:35:20,220 --> 00:35:24,020
+هنخش اشي تاني يعني يعني ممكن نكمل اعمل
+
+284
+00:35:24,020 --> 00:35:30,680
+acceleration analysis لو كان عندي alpha يعني
+
+285
+00:35:30,680 --> 00:35:35,460
+الأمجا مش ثابت صح؟يعني عندي حالتين يعني ممكن أحلي
+
+286
+00:35:35,460 --> 00:35:42,300
+مثلة في حالة اللي هو constant constant
+
+287
+00:35:42,300 --> 00:35:50,000
+اللي هي omega a b في الحالة
+
+288
+00:35:50,000 --> 00:35:58,420
+ده مايكونش theta تساوي مع الزمن theta theta
+
+289
+00:35:58,420 --> 00:36:09,260
+nodeزاد omega a b في ال time طبعا بدأت من الصفر
+
+290
+00:36:09,260 --> 00:36:17,860
+يعني هتكون theta so omega a b في ال T هذه في حالة
+
+291
+00:36:17,860 --> 00:36:22,900
+constant omega a b في Alpha اذا عندك constant
+
+292
+00:36:22,900 --> 00:36:27,080
+Alpha
+
+293
+00:36:27,080 --> 00:36:38,920
+a bوانت هتكون Omega AB ند
+
+294
+00:36:38,920 --> 00:36:50,240
+زائد Alpha AB في ال Tو ال theta ساوى ال theta node
+
+295
+00:36:50,240 --> 00:36:58,760
+اعتبرها ال zero زائد omega a b node في ال T زائد
+
+296
+00:36:58,760 --> 00:37:09,820
+نص alpha a b T تربيع مع الانتباه للإشارات
+
+297
+00:37:09,820 --> 00:37:14,760
+clockwise و counter clockwise يعني ممكن تعتبر ال
+
+298
+00:37:14,760 --> 00:37:20,190
+positivecounter clockwise ممكن اعتبره positive
+
+299
+00:37:20,190 --> 00:37:27,250
+clockwise negative
+
+300
+00:37:27,250 --> 00:37:33,830
+في الحلقة ده you can plot
+
+301
+00:37:33,830 --> 00:37:40,050
+يعني
+
+302
+00:37:40,050 --> 00:37:43,070
+ممكن تعمل plotting ال plotting كمهندسين
+
+303
+00:37:45,350 --> 00:37:50,710
+لازم تعمل graphs ال graphs بيعطيك الصورة الكلية
+
+304
+00:37:50,710 --> 00:37:55,530
+لكن عندك لما تكون الزاوية بس اربعين درجة بتشوف
+
+305
+00:37:55,530 --> 00:37:58,270
+عندك اربعين درجة بس ماشوفش عند سفر و عند عشر و
+
+306
+00:37:58,270 --> 00:38:01,850
+عشرين و تلاتين و اربعين و مية و خمسين و كذا فبشوف
+
+307
+00:38:01,850 --> 00:38:10,810
+كل ال .. بشوف كل الدنيا من لقطة واحدة هذا ميزة ال
+
+308
+00:38:10,810 --> 00:38:20,080
+plotting طب هتشوف الفيديوهيفرد هسير كل أفقه هتوصل
+
+309
+00:38:20,080 --> 00:38:23,520
+السرعة زيرو بعدين هيرجع يتصارع بالعكس يصل ل
+
+310
+00:38:23,520 --> 00:38:30,260
+maximum بعدين يرجع زيرو بعدين يرجع maximum زيرو
+
+311
+00:38:30,260 --> 00:38:36,040
+فهتكون على الأغلب ال .. حتى على الأغلب هتكون السنة
+
+312
+00:38:36,040 --> 00:38:40,460
+السايدة program
+
+313
+00:38:46,860 --> 00:38:53,520
+باستخدام MATLAB او
+
+314
+00:38:53,520 --> 00:38:57,100
+Mathematica
+
+315
+00:38:57,100 --> 00:39:01,900
+روح
+
+316
+00:39:01,900 --> 00:39:05,600
+ال Mathematica شغالة هي وانا لأ بخد نشوف بس
+
+317
+00:39:50,630 --> 00:39:59,030
+يعني ممكن مرة جاية نعملها على Mathematica
+
+318
+00:39:59,030 --> 00:40:05,410
+طيب
+
+319
+00:40:05,410 --> 00:40:10,830
+هي تاخد وقت فعملوها على Mathematica او على MathLab
+
+320
+00:40:10,830 --> 00:40:14,230
+هيكم خلصوا المحاضرة عطيكم العافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/HyrtOnOCGWk.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/HyrtOnOCGWk.srt
new file mode 100644
index 0000000000000000000000000000000000000000..aab7a5679dc217705a4cb6c650126122b09b622f
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/HyrtOnOCGWk.srt
@@ -0,0 +1,1387 @@
+1
+00:00:04,940 --> 00:00:07,860
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله و
+
+2
+00:00:07,860 --> 00:00:12,360
+بركاته هنكمل في مادة الديناميكا هندخل على chapter
+
+3
+00:00:12,360 --> 00:00:16,820
+جديد اللي هو الـ plane motion of rigid bodies forces
+
+4
+00:00:16,820 --> 00:00:19,600
+and acceleration يعني هنحكي عن kinetics of rigid
+
+5
+00:00:19,600 --> 00:00:24,290
+bodies. في الـ chapter هذا هنغطي الـ equations of
+
+6
+00:00:24,290 --> 00:00:28,910
+motion of a rigid body هنحكي عن angular momentum
+
+7
+00:00:28,910 --> 00:00:33,810
+of a rigid body في حالة general plane motion هنحكي
+
+8
+00:00:33,810 --> 00:00:38,610
+عن constraint plane motion, non-stationary rotation,
+
+9
+00:00:38,610 --> 00:00:40,830
+rolling motion.
+
+10
+00:00:45,800 --> 00:00:49,660
+الآن الـ rigid body مكون من عدد لا نهائي من الـ
+
+11
+00:00:49,660 --> 00:00:53,640
+particles، المسافة بين كل particle و particle fixed
+
+12
+00:00:53,640 --> 00:00:56,940
+معناته
+
+13
+00:00:56,940 --> 00:01:03,800
+الـ velocity و الـ acceleration للنقاط
+
+14
+00:01:03,800 --> 00:01:09,140
+أو الـ particles المكونة للـ body مختلفة باختلاف
+
+15
+00:01:09,140 --> 00:01:12,620
+تفاصيل نوع الحركة اللي هو بتحرك حركة انتقالية ولا
+
+16
+00:01:12,620 --> 00:01:17,160
+حركة دورانية أو general plane motion يعني فيه دوران
+
+17
+00:01:17,160 --> 00:01:24,220
+ودوران. الآن معناته هيكون احنا في الـ
+
+18
+00:01:24,220 --> 00:01:27,840
+particle كنا نحكي summation of forces مافي
+
+19
+00:01:27,840 --> 00:01:34,350
+a لكن في حالة الـ rigid body صار للجسم له volume له
+
+20
+00:01:34,350 --> 00:01:39,550
+size معناته احتجنا a second equation اللي هو الـ
+
+21
+00:01:39,550 --> 00:01:43,930
+summation للمoment حوالين مركز الثقل بسبب معدل
+
+22
+00:01:43,930 --> 00:01:51,430
+التغير في كمية الحركة الزاوية. معادلة التغير في
+
+23
+00:01:51,430 --> 00:01:56,250
+الزخم الزاوي حوالين مركز الثقل. يعني عنده معادلتين
+
+24
+00:01:56,250 --> 00:02:00,630
+∑F = M في A، و ∑M
+
+25
+00:02:00,630 --> 00:02:11,170
+حوالين مركز الثقل = HG ̇ في حالة plane motion الـ
+
+26
+00:02:11,170 --> 00:02:16,250
+rate of change في angular momentum حوالي
+
+27
+00:02:18,040 --> 00:02:20,840
+مركز الثقل. هذا طبعا عندي إذا كان هذا الـ body symmetric
+
+28
+00:02:20,840 --> 00:02:28,210
+حول الـ xy plane، يعني الـ xy plane قاطعه و
+
+29
+00:02:28,210 --> 00:02:32,790
+متماثل حول الـ xy plane، متماثل حول الـ xy
+
+30
+00:02:32,790 --> 00:02:37,210
+plane، الـ rate of change of angular momentum بتكون
+
+31
+00:02:37,210 --> 00:02:41,690
+تساوي I في α، الـ I اللي هي moment of inertia
+
+32
+00:02:41,690 --> 00:02:44,590
+للجسم حول مركز ثقله، والـ α اللي هي العجلة
+
+33
+00:02:44,590 --> 00:02:50,810
+الزاوية للجسم. الـ angular momentum للجسم. طبعا هذه
+
+34
+00:02:50,810 --> 00:02:54,710
+النتيجة اللي هي هذه العلاقة HG ̇ = I في α
+
+35
+00:02:54,710 --> 00:02:58,310
+بتكون صحيحة في حالة حركة مستوية
+
+36
+00:02:58,310 --> 00:03:06,150
+و الجسم متماثل حول المستوى xy plane يعني
+
+37
+00:03:08,710 --> 00:03:13,990
+فيه symmetry. otherwise في حالة general 3D motion
+
+38
+00:03:13,990 --> 00:03:19,410
+ومفيش symmetry، المعادلة دي مش ... مش صحيحة بتكون ...
+
+39
+00:03:19,410 --> 00:03:23,910
+بدك تخش للمستوى الأكثر تقدماً
+
+40
+00:03:23,910 --> 00:03:25,430
+معناته الـ results are not valid for asymmetrical
+
+41
+00:03:30,160 --> 00:03:33,100
+bodies or 3D motion يعني الـ results اللي هي HG ̇
+
+42
+00:03:33,100 --> 00:03:36,520
+= I في α تنطبقش في حالة أجسام غير
+
+43
+00:03:36,520 --> 00:03:41,840
+متماثلة أو في حالة الـ 3D motion. الآن
+
+44
+00:03:41,840 --> 00:03:50,160
+في عند جسم هنا مأثرة عليه forces F1, F2, F3, F4 هذا
+
+45
+00:03:50,160 --> 00:03:55,480
+مركز ثقله نتيجة الـ forces هذه صار حركة للجسم، الحركة
+
+46
+00:03:55,480 --> 00:04:01,630
+جزئين: جزء انتقالي وجزء دوراني. الجزء الانتقالي
+
+47
+00:04:01,630 --> 00:04:08,450
+بيخلي مركز الثقل يتحرك بـ linear acceleration M في
+
+48
+00:04:08,450 --> 00:04:12,550
+A، وجزء الدوراني بيخلي rotation حوالي مركز الثقل
+
+49
+00:04:12,550 --> 00:04:18,910
+أو inertia vector Iα. الـ I اللي هي الـ momentum
+
+50
+00:04:18,910 --> 00:04:21,790
+of inertia، والـ α اللي هي angular acceleration.
+
+51
+00:04:21,790 --> 00:04:25,190
+معناته general plane motion جزئين: جزء translation و
+
+52
+00:04:25,190 --> 00:04:31,130
+جزء rotation. أو
+
+53
+00:04:31,130 --> 00:04:38,650
+ممكن يعني أعمل أن أنا عندي body عليه F1 F2 F3 F4
+
+54
+00:04:38,650 --> 00:04:45,970
+هذا الـ equivalent هيعطوني general motion جزء منها
+
+55
+00:04:45,970 --> 00:04:51,560
+linear اللي هي M في A، جزء منها rotation I في α
+
+56
+00:04:51,560 --> 00:04:59,200
+أو إذا نقلت الـ MA ع الجهة التانية بيصير عندي
+
+57
+00:04:59,200 --> 00:05:03,440
+−MA اللي هي inertia vector، قوة قصور ذاتي، و
+
+58
+00:05:03,440 --> 00:05:08,160
+−Iα، وبحكي summation of all forces
+
+59
+00:05:08,160 --> 00:05:11,660
+including inertia = صفر، و summation of all
+
+60
+00:05:11,660 --> 00:05:16,080
+moments حوالين الـ G برضه = صفر. اللي صار
+
+61
+00:05:16,080 --> 00:05:21,570
+أنا اعتبرت الـ MA هي فعلياً inertia force
+
+62
+00:05:21,570 --> 00:05:24,850
+Inertia force، والـ Iα برضه هي inertia torque.
+
+63
+00:05:24,850 --> 00:05:30,290
+هنشوف
+
+64
+00:05:30,290 --> 00:05:33,730
+مثال عندي
+
+65
+00:05:33,730 --> 00:05:40,350
+at a forward speed of 30 feet per second كان هذا
+
+66
+00:05:40,350 --> 00:05:44,630
+الـ truck ماشي بالسرعة الابتدائية
+
+67
+00:05:44,630 --> 00:05:46,030
+ثلاثين قدم per second بهذا الاتجاه. the
+
+68
+00:05:50,960 --> 00:06:01,540
+truck brakes were applied، ضغط على المكابح، causing
+
+69
+00:06:01,540 --> 00:06:07,360
+the wheels to stop rotating. لما ضغط على المكابح،
+
+70
+00:06:07,360 --> 00:06:09,700
+العجلات بتبطل تلف، بيصير السيارة هتبدأ تنزلق.
+
+71
+00:06:09,700 --> 00:06:13,360
+it was observed that the truck skidded to a
+
+72
+00:06:15,130 --> 00:06:19,530
+stop in twenty feet. احنا هنلاحظ إن السيارة هتنزلق لمسافة
+
+73
+00:06:19,530 --> 00:06:25,570
+عشرين قدم لحد لحظة التوقف. يعني احنا هيكون عندنا
+
+74
+00:06:25,570 --> 00:06:29,390
+اللي هي مسافة Δx عشرين قدم، والسرعة النهائية
+
+75
+00:06:29,390 --> 00:06:38,430
+كانت ايه؟ صفر.
+
+76
+00:06:38,430 --> 00:06:40,230
+determine the magnitude of the normal reaction and
+
+77
+00:06:54,900 --> 00:06:58,400
+friction force at each wheel as the truck is
+
+78
+00:06:58,400 --> 00:07:01,540
+skidded to a stop. أوجد قيمة رد الفعل العمودي
+
+79
+00:07:01,540 --> 00:07:05,820
+والاحتكاك عند كل عجلة في فترة الانزلاق. عشان أعمل
+
+80
+00:07:05,820 --> 00:07:12,900
+الكلام ده لازم أعمل free body diagram.
+
+81
+00:07:12,900 --> 00:07:15,600
+فيه، هنبدأ نقرأ المثال عندي. هاي السيارة، هاي
+
+82
+00:07:24,450 --> 00:07:50,230
+مركز ثقل السيارة
+
+83
+00:07:50,230 --> 00:07:51,530
+G، وهذه نقطة A، هذه B، وأعطينا معلومات هو على موقع
+
+84
+00:07:56,050 --> 00:08:09,890
+مركز الثقل، هذه
+
+85
+00:08:09,890 --> 00:08:16,150
+الأرض، هذه
+
+86
+00:08:16,150 --> 00:08:22,390
+أربعة أقدام، هذه خمسة أقدام، هذه سبعة أقدام. الـ
+
+87
+00:08:22,390 --> 00:08:34,550
+forces اللي بتأثر على السيارة إيش هي؟ الوزن، نحكي ده
+
+88
+00:08:34,550 --> 00:08:40,750
+هو الـ W
+
+89
+00:08:40,750 --> 00:08:46,110
+و
+
+90
+00:08:46,110 --> 00:08:51,730
+في عندي هنا R، أو الـ normal force، هاي
+
+91
+00:08:51,730 --> 00:09:04,220
+NA، و
+
+92
+00:09:04,220 --> 00:09:10,020
+هاي NB
+
+93
+00:09:10,020 --> 00:09:13,720
+طبعا
+
+94
+00:09:13,720 --> 00:09:16,780
+هاي اتجاه الحركة، وأنا بحكي في عندي friction هنا
+
+95
+00:09:23,560 --> 00:09:33,700
+μkNB، وعندي هنا μk
+
+96
+00:09:33,700 --> 00:09:45,780
+NA. الآن
+
+97
+00:09:45,780 --> 00:09:51,960
+إن هو الحركة في حالتنا، عندنا pure translation، صح؟ مفيش
+
+98
+00:09:51,960 --> 00:09:56,070
+rotation للسيارة. الآن هاي السيارة
+
+99
+00:10:31,850 --> 00:10:36,170
+هتكون، اللي هي هتكون
+
+100
+00:10:36,170 --> 00:10:51,570
+العكس، الـ acceleration هدي
+
+101
+00:10:51,570 --> 00:10:54,290
+A، هدي B.
+
+102
+00:11:18,850 --> 00:11:24,990
+اللي هو الـ acceleration ممكن نحسبها؟
+
+103
+00:11:24,990 --> 00:11:31,630
+اللي
+
+104
+00:11:31,630 --> 00:11:36,010
+بنحكي، أو لأ، فكروا. بدأت
+
+105
+00:11:36,010 --> 00:11:40,610
+السيارة سرعتها 30، وتوقفت خلال 20 قدم، سرعتها
+
+106
+00:11:40,610 --> 00:11:45,470
+النهائية صفر، معناه إنتَ تقدر تحسب الـ acceleration،
+
+107
+00:11:45,470 --> 00:11:49,070
+مظبوط؟ وإن هو الحركة عندنا pure translation يعني
+
+108
+00:11:49,070 --> 00:11:56,050
+الـ acceleration أو الـ velocity لكل النقاط الموجودة
+
+109
+00:11:56,050 --> 00:11:58,630
+على الجسم، بما فيها مركز الثقل، نفس الشيء هتكون
+
+110
+00:11:58,630 --> 00:12:09,270
+يعني هتكون v2 = v02 + 2aΔx
+
+111
+00:12:09,270 --> 00:12:19,450
+صفر، السرعة الابتدائية اللي هي 30 تربيع = 2a Δx اللي هي
+
+112
+00:12:19,450 --> 00:12:27,450
+في 20، معناته الـ a هتكون 900 على 40 يعني
+
+113
+00:12:27,450 --> 00:12:37,410
+22.5 قدم/ث2
+
+114
+00:12:37,410 --> 00:12:42,490
+بالموجب. هتكون
+
+115
+00:12:47,970 --> 00:13:00,130
+قدم/ث2. هذا
+
+116
+00:13:00,130 --> 00:13:08,150
+الاتجاه عندي
+
+117
+00:13:08,150 --> 00:13:09,590
+طبعاً forces
+
+118
+00:13:16,630 --> 00:13:22,130
+هذه الـ x، هذه
+
+119
+00:13:22,130 --> 00:13:28,670
+الـ y. دي
+
+120
+00:13:28,670 --> 00:13:35,490
+أعتبر هذا الـ x هو الموجب، الـ y و الـ x يعني عندي
+
+121
+00:13:35,490 --> 00:13:39,990
+some additional forces باتجاه
+
+122
+00:13:39,990 --> 00:13:45,230
+الـ y، هل فيه حركة باتجاه الـ y؟ صفر.
+
+123
+00:13:48,850 --> 00:14:05,150
+هتكون تساوي NA + NB − W = 0، هم عطيني W، نعم.
+
+124
+00:14:05,150 --> 00:14:14,010
+مش فاهم هنا
+
+125
+00:14:14,010 --> 00:14:16,910
+أنا حكيت إذا زادت هتعطيك نقص، بعدين أنا حكيت الـ A
+
+126
+00:14:17,670 --> 00:14:21,770
+إذا حطيت اتجاه غلط هحط سالب، خلاص، بنحكي هي ... هي
+
+127
+00:14:21,770 --> 00:14:27,770
+... كتب التركيز، هي اتجاهها، يعني هيكون عندي NA
+
+128
+00:14:27,770 --> 00:14:39,090
++ NB = W، وهذا وهذا اتجاه الموجب.
+
+129
+00:14:39,090 --> 00:14:46,590
+∑Fx =
+
+130
+00:14:49,600 --> 00:15:08,960
+Ma، x، صح؟ يعني أنا هيكون عندي −μkNA − μkNB
+
+131
+00:15:08,960 --> 00:15:16,540
+= Ma، M اللي هي W/g، صح؟ في a
+
+132
+00:15:16,540 --> 00:15:16,780
+a
+
+133
+00:15:19,910 --> 00:15:24,710
+يعني أنا هيكون عندي −μk
+
+134
+00:15:24,710 --> 00:15:32,210
+(NA + NB)
+
+135
+00:15:32,210 --> 00:15:45,790
+= W/g في a. هذه معادلة (1)، هذه
+
+136
+00:15:45,790 --> 00:15:48,410
+معادلة (2).
+
+137
+00:15:49,770 --> 00:15:57,110
+أنا كم مجهول عندي؟ عندي NA و NB و μk، معناته بدي
+
+138
+00:15:57,110 --> 00:16:04,310
+معادلة تالتة، إيش المعادلة التالتة؟
+
+139
+00:16:04,310 --> 00:16:08,590
+عندي
+
+140
+00:16:08,590 --> 00:16:14,390
+أنا كم مجهول، NA و NB و μk، في معادلتين، معناته
+
+141
+00:16:14,390 --> 00:16:18,470
+ما أقدرش أحل المعادلة، بدي معادلة تالتة، يعني ثلاثة
+
+142
+00:16:18,470 --> 00:16:24,210
+مجهول ومعادلتين. ممكن أحسب μk، كيف؟ أقسم الأولى على
+
+143
+00:16:24,210 --> 00:16:27,110
+التانية، أحسب μk، كيف؟ مش مشكلة، لكن ما أقدرش أحسب NA
+
+144
+00:16:27,110 --> 00:16:32,810
+و NB، مش كافي، بدي معادلة تالتة، 100%.
+
+145
+00:16:32,810 --> 00:16:40,510
+معناته هاخد أنا summation of
+
+146
+00:16:40,510 --> 00:16:47,810
+moments، summation of moments حول G = 0.
+
+147
+00:16:47,810 --> 00:16:58,570
+حول G = Iα. خلّيني أعتبر هذا الاتجاه موجب.
+
+148
+00:16:58,570 --> 00:17:07,870
+طيب
+
+149
+00:17:07,870 --> 00:17:12,230
+هل الـ rotation هو معناته أن الـ α = 0؟ يعني عند الـ α هنا = 0، معناه أنك
+
+150
+00:17:12,230 --> 00:17:19,630
+هتكون ∑M حول G = 0.
+
+151
+00:17:19,630 --> 00:17:21,130
+ستكون ∑M حول G
+
+152
+00:17:24,140 --> 00:17:35,980
+هتروح الـ W، هيكون عندي 5NA − 5NA
+
+153
+00:17:35,980 --> 00:17:40,740
++
+
+154
+00:17:40,740 --> 00:17:47,700
+7NB −
+
+155
+00:17:47,700 --> 00:17:51,700
+4
+
+156
+00:17:53,840 --> 00:18:04,880
+μkNA − 4μkNB = 0
+
+157
+00:18:04,880 --> 00:18:17,360
+يعني
+
+158
+00:18:17,360 --> 00:18:22,440
+هيكون عندي NA عامل مشترك، NA
+
+159
+00:18:25,430 --> 00:18:30,570
+(5 − 4μk) + NB
+
+160
+00:18:30,570 --> 00:18:45,050
+(7 − 4μk) = 0. هذه المعادلة (3).
+
+161
+00:18:45,050 --> 00:18:50,930
+أو بأجي أحكي summation، summation
+
+162
+00:18:57,550 --> 00:19:05,910
+عن هذه، أو يعني summation للمoments حول A. دي أعتبر
+
+163
+00:19:05,910 --> 00:19:15,050
+هذا موجب. بيساوي الـ moment effective
+
+164
+00:19:15,050 --> 00:19:19,730
+لـ Ma.
+
+165
+00:19:27,190 --> 00:19:32,130
+لأن نأخذ على الجهة اليسار، هتروح
+
+166
+00:19:32,130 --> 00:19:47,250
+NA و μNB و μNA و μkNB، بس الـ effect بيكون
+
+167
+00:19:47,250 --> 00:19:55,670
+W NB، يعني هتكون −5W
+
+168
+00:19:58,210 --> 00:20:03,050
++ 12، هذا
+
+169
+00:20:03,050 --> 00:20:11,370
+الجهة اليسار، الجهة اليمين، فين دي Iα، اللي هي صفر،
+
+170
+00:20:11,370 --> 00:20:16,350
+وهي moment. وفين دي الـ Ma بتعمل moment حول الـ A
+
+171
+00:20:16,350 --> 00:20:25,170
+هتكون تساوي اللي هي 4Ma
+
+172
+00:20:29,900 --> 00:20:34,440
+يعني هي أكثر من هذه، بس ممكن تحلّها، ممكن تحلّ الثلاث
+
+173
+00:20:34,440 --> 00:20:44,200
+معادلات. لأ، يعني هيكون عندي الآن NB
+
+174
+00:20:44,200 --> 00:20:53,040
+= 13/12W. a/g
+
+175
+00:20:56,060 --> 00:21:06,700
++ 5/12W، يعني لو عوضنا هتكون
+
+176
+00:21:06,700 --> 00:21:10,740
+عند A طلع
+
+177
+00:21:10,740 --> 00:21:15,880
+W بره، فيه
+
+178
+00:21:15,880 --> 00:21:20,040
+الـ NA عند A، 22.5
+
+179
+00:21:25,790 --> 00:21:35,330
+× 3 = 22.5 + 5/12
+
+180
+00:21:35,330 --> 00:21:41,350
+× 3 حسبت أنا إيش الـ NB بدلالة الـ W
+
+181
+00:21:41,350 --> 00:21:47,610
+بعدين
+
+182
+00:21:47,610 --> 00:21:54,390
+لو قسمت (2) على (1)، (2) على (1)
+
+183
+00:22:00,420 --> 00:22:06,720
+بيعطينا μk =
+
+184
+00:22:06,720 --> 00:22:09,800
+بتروح
+
+185
+00:22:09,800 --> 00:22:
+
+223
+00:27:37,110 --> 00:27:43,690
+link EA و الـ link FD
+
+224
+00:27:43,690 --> 00:27:46,770
+هنا
+
+225
+00:27:46,770 --> 00:27:52,830
+سنعمل force analysis أنا
+
+226
+00:27:52,830 --> 00:27:53,730
+عندي هذه الـ plate
+
+227
+00:28:16,160 --> 00:28:23,820
+الـ plate مستطيل، المركز سيكون في النصف، صح؟
+
+228
+00:28:23,820 --> 00:28:29,000
+فيه الوزن لتحت، إن
+
+229
+00:28:29,000 --> 00:28:32,900
+تبقى، ده في الوحدات المترية أستخدم MG، وفي الـ
+
+230
+00:28:32,900 --> 00:28:38,020
+English أستخدم W عند
+
+231
+00:28:38,020 --> 00:28:41,160
+هذه الـ link، أفترضها two force member، يعني أفترض
+
+232
+00:28:41,160 --> 00:28:41,720
+الـ force
+
+233
+00:28:46,040 --> 00:28:56,820
+هذه F A وهذه F
+
+234
+00:28:56,820 --> 00:29:11,800
+D، وهذه نقطة A، وهذه B، وهذه D، وهذه C، وهذه F
+
+235
+00:29:15,170 --> 00:29:21,950
+هذه أيش؟ أيه
+
+236
+00:29:21,950 --> 00:29:26,650
+مباشرة بعد قطر الحبل بتكون... يعني بدأ يتحرك بس
+
+237
+00:29:26,650 --> 00:29:30,990
+سيتحرك، بل سيكون له acceleration، سيكون له
+
+238
+00:29:30,990 --> 00:29:35,550
+acceleration، الآن أول شيء نعرف أن الحركة بتاعة
+
+239
+00:29:35,550 --> 00:29:39,730
+الجسم هذا هل
+
+240
+00:29:39,730 --> 00:29:43,470
+هي translation أم rotation أم ماذا أتوقّع؟
+
+241
+00:29:48,460 --> 00:29:53,840
+كيف أعرف أن هي translation أم ليس translation؟ الـ
+
+242
+00:29:53,840 --> 00:29:58,260
+translation، كل النقاط تتحرك في مسارات متوازية.
+
+243
+00:29:58,260 --> 00:30:04,280
+المسار ليس ضروري أن يكون مستقيم. لو أخذت النقطة A، الـ link
+
+244
+00:30:04,280 --> 00:30:16,000
+EA pure rotation، معناته ستعمل أيش؟ هذه دائرة، ستعمل
+
+245
+00:30:16,000 --> 00:30:17,360
+هذه دائرة، مركزها
+
+246
+00:30:26,480 --> 00:30:31,440
+هذه دائرة، وهذه مركزها، و
+
+247
+00:30:31,440 --> 00:30:37,320
+الـ link FD تعمل دائرة
+
+248
+00:30:37,320 --> 00:30:42,660
+مسارات
+
+249
+00:30:42,660 --> 00:30:53,060
+دائرة، معناته
+
+250
+00:30:53,060 --> 00:31:02,380
+هذا المسار، متوازية، معناته التي هي points A and
+
+251
+00:31:02,380 --> 00:31:08,920
+D, A and
+
+252
+00:31:08,920 --> 00:31:15,280
+D move along
+
+253
+00:31:15,280 --> 00:31:19,160
+parallel
+
+254
+00:31:19,160 --> 00:31:23,440
+circular
+
+255
+00:31:26,120 --> 00:31:31,840
+paths، يعني تتحرك على مسار دائري، المسار الدائري
+
+256
+00:31:31,840 --> 00:31:36,140
+متوازي، هذا المسار الدائري موازي لهذا، معناته أيش نوع
+
+257
+00:31:36,140 --> 00:31:45,000
+الحركة؟ Translation، translation، معناته عند الـ plate
+
+258
+00:31:45,000 --> 00:31:49,980
+is
+
+259
+00:31:49,980 --> 00:31:52,820
+in curvilinear
+
+260
+00:32:02,500 --> 00:32:09,460
+translation، صح؟ حركة انتقالية، معناته
+
+261
+00:32:09,460 --> 00:32:12,360
+الـ acceleration of all points على الـ plate بتكون
+
+262
+00:32:12,360 --> 00:32:17,320
+نفس الاتجاه ونفس القيمة، صح؟ و الـ velocities برضه
+
+263
+00:32:17,320 --> 00:32:21,600
+طيب، immediately كان في سرعة على النقطة A
+
+264
+00:32:21,600 --> 00:32:26,290
+مباشرة، يعني ما فيش angular، كانت الـ angular velocity
+
+265
+00:32:26,290 --> 00:32:31,390
+كانت zero للـ link EA في البداية طبعاً، والـ angular
+
+266
+00:32:31,390 --> 00:32:35,250
+velocity للـ link FD برضه بيساوي zero، الـ
+
+267
+00:32:35,250 --> 00:32:37,310
+acceleration لنقطة D سيكون لها two components، واحدة
+
+268
+00:32:37,310 --> 00:32:42,070
+normal، اللي هي omega square في R، اللي هي صفر، وفي
+
+269
+00:32:42,070 --> 00:32:48,030
+tangential component، اللي هي Alpha في R، يعني
+
+270
+00:32:48,030 --> 00:32:51,890
+هي الـ acceleration ستكون عمودية
+
+271
+00:32:57,480 --> 00:33:02,860
+لكل النقاط، هو نفس الشيء، G موازية، ستكون نفس الشيء.
+
+272
+00:33:02,860 --> 00:33:15,780
+هذه G، هذه H، الـ A كلهم A، يعني الـ A A متساوية.
+
+273
+00:33:15,780 --> 00:33:23,740
+الـ A D متساوية، الـ A G، لنسمّيها H، A F متساوية.
+
+274
+00:33:30,440 --> 00:33:36,180
+أنا لست أعرف الـ alpha بتاعتها هذه، لها alpha لأن
+
+275
+00:33:36,180 --> 00:33:41,020
+هو pure rotation، لكن هذه لها alpha، بس اللي عرفته
+
+276
+00:33:41,020 --> 00:33:50,680
+أنا أنه ما فيش alpha، يعني الـ alpha، الـ alpha للـ
+
+277
+00:33:50,680 --> 00:33:56,660
+plate بتساوي zero، صح؟ هذه المعلومة المفيدة التي
+
+278
+00:33:56,660 --> 00:33:57,180
+عرفتها.
+
+279
+00:34:43,900 --> 00:34:56,660
+هذه، هذه G، صح؟ هذه
+
+280
+00:34:56,660 --> 00:35:03,320
+ستكون m، m في، m في
+
+281
+00:35:06,230 --> 00:35:12,490
+لا، على الأقل الـ A أقرأ في اتجاهها، إذا هاته ثلاثينها
+
+282
+00:35:12,490 --> 00:35:22,310
+هذه ستكون كم؟ ستين، لأن
+
+283
+00:35:22,310 --> 00:35:28,380
+الـ force المؤثرة عندي، الوزن MG، عندي الـ force عند الـ
+
+284
+00:35:28,380 --> 00:35:37,400
+link A، اللي هي A A، لـ F A، و الـ force F D، force F D
+
+285
+00:35:37,400 --> 00:35:42,400
+يعني ممكن أنا أُصمّم الـ force باتجاه الـ x، أُصمّم الـ
+
+286
+00:35:42,400 --> 00:35:52,720
+force باتجاه الـ y، وآخذ الـ moment حول G، طيب.
+
+287
+00:35:54,230 --> 00:35:59,530
+يعني once أنا حليت الخطوة، عملت الخطوة، حليت
+
+288
+00:35:59,530 --> 00:36:03,770
+المثال، ممكن أحد يحلها بطريقة طويلة، وأحد يحلها
+
+289
+00:36:03,770 --> 00:36:11,190
+بطريقة سريعة، أسرع، طيب.
+
+290
+00:36:11,190 --> 00:36:15,130
+لو بدأنا من الـ moment، طبعاً سيكون بشكل عام two
+
+291
+00:36:15,130 --> 00:36:15,570
+equations
+
+292
+00:36:19,460 --> 00:36:24,240
+و summation of moment، يساوي I في Alpha، حد
+
+293
+00:36:24,240 --> 00:36:28,380
+حول G، يساوي صفر، هذه الـ two equations، الآن لو
+
+294
+00:36:28,380 --> 00:36:33,480
+بدأنا بأخذ الـ moment، أين ممكن أن نأخذ الـ moment حول
+
+295
+00:36:33,480 --> 00:36:40,620
+نقطة تكون
+
+296
+00:36:40,620 --> 00:36:44,760
+سهلة، أو
+
+297
+00:36:44,760 --> 00:36:48,000
+فلنحدد مثلاً، اتجاه الـ X و Y، مثلاً لو قلنا
+
+298
+00:36:48,000 --> 00:36:49,060
+أن هذا اتجاه الـ X
+
+299
+00:36:53,860 --> 00:37:06,760
+وهذا اتجاه الـ Y، وهذا
+
+300
+00:37:06,760 --> 00:37:12,340
+اتجاه الـ X، وهذا
+
+301
+00:37:12,340 --> 00:37:20,660
+اتجاه الـ Y، لاحظ
+
+302
+00:37:20,660 --> 00:37:27,440
+الـ F A و الـ FD جايان تجاه الـ X، الذي يأخذ الـ
+
+303
+00:37:27,440 --> 00:37:33,740
+summation للـ forces باتجاه الـ Y، لن يتبين عندي F A
+
+304
+00:37:33,740 --> 00:37:43,820
+و F D، صح؟ معناته summation للـ forces باتجاه
+
+305
+00:37:43,820 --> 00:37:49,340
+الـ Y تساوي
+
+306
+00:37:49,340 --> 00:37:51,580
+MG
+
+307
+00:38:02,730 --> 00:38:17,490
+هذه الـ X، وهذه الـ Y، هذه ثلاثين درجة، وهذه ستين، وهذه
+
+308
+00:38:17,490 --> 00:38:21,390
+ثلاثين
+
+309
+00:38:21,390 --> 00:38:25,710
+هذه
+
+310
+00:38:25,710 --> 00:38:26,650
+الاتجاه الموجب
+
+311
+00:38:30,690 --> 00:38:35,190
+لن يتبين عندي لـ F A ولا F D، سيكون عندي MG cos
+
+312
+00:38:35,190 --> 00:38:40,990
+الثلاثين، بالسالب، سالب MG
+
+313
+00:38:40,990 --> 00:38:49,090
+cos الثلاثين، ما هي
+
+314
+00:38:49,090 --> 00:38:53,790
+هذه الـ ma موازية، يساوي M في A، يساوي
+
+315
+00:38:53,790 --> 00:38:59,890
+minus M في A، صح؟
+
+316
+00:39:00,980 --> 00:39:12,160
+يعني الـ A ستساوي الـ g cos 30، يعني ستكون التي هي
+
+317
+00:39:12,160 --> 00:39:27,140
+تسعة فاصلة ثمانية صفر ستة، في تسعة فاصلة ثمانية صفر ستة، هكذا
+
+318
+00:39:27,140 --> 00:39:27,520
+تطلع
+
+319
+00:39:31,120 --> 00:39:39,060
+ثمانية فاصلة أربعة تسعة، كم هو الرقم، هذا الرقم
+
+320
+00:39:39,060 --> 00:39:46,420
+الـ A، meter per second square
+
+321
+00:39:46,420 --> 00:39:49,640
+عشان
+
+322
+00:39:49,640 --> 00:39:54,980
+أحسب الـ forces، آخذ
+
+323
+00:39:54,980 --> 00:40:00,620
+summation حول D أو A، summation of moment
+
+324
+00:40:05,800 --> 00:40:15,960
+حول D، هذا موجب، بالثوابت، m، D effective
+
+325
+00:40:15,960 --> 00:40:19,120
+الجهة
+
+326
+00:40:19,120 --> 00:40:27,300
+الشمال، طبعاً الـ F D ستذهب، لن تتبين، سيكون هذه الـ F
+
+327
+00:40:27,300 --> 00:40:29,580
+A، لها مركبتان، الـ F A؟
+
+328
+00:40:35,430 --> 00:40:43,130
+لها مركبتان، مركبة، هذه، ستعمل moment، ستكون عندها F A
+
+329
+00:40:43,130 --> 00:40:59,190
+Cos 30 في المسافة هذه في 200، صح؟ 200 F A Cos 30، ناقص
+
+330
+00:41:01,180 --> 00:41:07,840
+250 في MG، صح؟ ناقص 250 في
+
+331
+00:41:07,840 --> 00:41:11,680
+MG، ستساوي
+
+332
+00:41:11,680 --> 00:41:20,620
+I في Alpha، اللي هي صفر، زائد اللي هنا، الـ A هذه تعمل
+
+333
+00:41:20,620 --> 00:41:29,440
+ستين درجة، فيها مركبتان، ستساوي ستين، صح؟ في الـ MA Cos
+
+334
+00:41:29,440 --> 00:41:37,140
+60، MA Cos الستين في
+
+335
+00:41:37,140 --> 00:41:44,640
+المسافة هذه، في مئة، صح؟ ستكون تساوي مئة MA
+
+336
+00:41:44,640 --> 00:41:56,820
+Cos الستين، ناقص مائتين وخمسين MA
+
+337
+00:41:56,820 --> 00:41:59,760
+Cos الستين
+
+338
+00:42:05,040 --> 00:42:10,020
+مظبوط، هذه الـ momentum، هذه تعمل موجب، وهذه تعمل
+
+339
+00:42:10,020 --> 00:42:18,340
+سالب، يعني
+
+340
+00:42:18,340 --> 00:42:20,560
+لو أزيل هذه، صفر
+
+341
+00:42:31,460 --> 00:42:40,340
+وأزيل خمسة، تصبح أربعة، هذه خمسة، هذه اثنان، هذه
+
+342
+00:42:40,340 --> 00:42:45,160
+أيضاً خمسة
+
+343
+00:42:45,160 --> 00:42:50,500
+ونترك المزيد من الوقت، نتعامل مع ثلاثين وستين، لنعتبر
+
+344
+00:42:50,500 --> 00:42:53,880
+أن هذه ستكون الـ sign، الثلاثين، الـ sign، الثلاثين
+
+345
+00:42:53,880 --> 00:42:59,140
+sign
+
+346
+00:43:00,890 --> 00:43:13,030
+الثلاثين، و cosine الثلاثين، يعني
+
+347
+00:43:13,030 --> 00:43:22,410
+سيكون عندي أربعة، أُقسم على خمسة، F A تساوي
+
+348
+00:43:22,410 --> 00:43:27,270
+خمسة
+
+349
+00:43:27,270 --> 00:43:37,650
+M G على Cos الثلاثين، زائد
+
+350
+00:43:37,650 --> 00:43:47,590
+اثنان MA Tan الثلاثين، ناقص
+
+351
+00:43:47,590 --> 00:44:00,230
+خمسة MA، ربع
+
+352
+00:44:00,230 --> 00:44:00,830
+صح؟
+
+353
+00:44:05,070 --> 00:44:10,210
+يعني F A ستكون تساوي point
+
+354
+00:44:10,210 --> 00:44:19,870
+اثنين خمسة في خمسة في تسعة فاصلة ثمانية
+
+355
+00:44:19,870 --> 00:44:32,070
+صفر ستة، على Cos الثلاثين، زائد اثنين، فلنخرج
+
+356
+00:44:32,070 --> 00:44:32,730
+الثمانية برا
+
+357
+00:44:38,200 --> 00:44:45,660
+بعد ذلك، نذهب إلى ثمانية، أيش؟ اثنان، اثنان، زائد اثنين
+
+358
+00:44:45,660 --> 00:44:52,520
+في ثمانية فاصلة أربعة تسعة واحد، tan الثلاثين
+
+359
+00:44:52,520 --> 00:45:07,040
+ناقص خمسة في ثمانية فاصلة أربعة تسعة واحد، إحدى عشرة
+
+360
+00:45:08,080 --> 00:45:15,520
+الـ F A، بعدين
+
+361
+00:45:15,520 --> 00:45:21,400
+ما حسبت الـ F A، أقول summation للـ forces باتجاه الـ X،
+
+362
+00:45:21,400 --> 00:45:27,060
+summation للـ forces باتجاه الـ X، التي هي هذه الـ X،
+
+363
+00:45:27,060 --> 00:45:30,900
+عندي بالثوابت
+
+364
+00:45:30,900 --> 00:45:35,260
+A X، يعني أنا أحكم عندي F A
+
+365
+00:45:38,760 --> 00:45:48,780
+زائد F D، اتجاه
+
+366
+00:45:48,780 --> 00:45:52,300
+الـ X، عندي
+
+367
+00:45:52,300 --> 00:45:57,740
+هنا Cos الثلاثين، هنا Sin الثلاثين، ناقص MG، ناقص
+
+368
+00:45:57,740 --> 00:46:05,880
+MG Sin الثلاثين، تساوي
+
+369
+00:46:05,880 --> 00:46:07,740
+صفر
+
+370
+00:46:10,010 --> 00:46:16,250
+لأن الـ A X تساوي صفر، لأنها عمودية عليها، هو
+
+371
+00:46:16,250 --> 00:46:22,430
+أنا أحسب الـ F D، تساوي
+
+372
+00:46:22,430 --> 00:46:29,070
+نصف MG، ناقص
+
+373
+00:46:29,070 --> 00:46:39,550
+F A، لأنها ستكون نصف في تسعة فاصلة ثمانية
+
+374
+00:46:39,550 --> 00:46:47,930
+صفر ستة، ما نسيان في A التي حسبناها، كم؟
+
+375
+00:46:47,930 --> 00:46:58,510
+مائة وتسع وتسعون فاصلة ثمانية ثمانية نيوتن، ستكون
+
+376
+00:46:58,510 --> 00:47:02,790
+ناقص مئة وتسع وتسعون فاصلة ثمانية
+
+377
+00:47:09,230 --> 00:47:15,610
+ستطلع بالسالب، منطقي جداً، لأنه أول ما تنزل هذه، ستشد
+
+378
+00:47:15,610 --> 00:47:24,050
+ستشد هنا، وتضغط هنا، مظبوط؟ معناته هنا ستكون تُنشَر
+
+379
+00:47:24,050 --> 00:47:26,530
+هنا، كمونش، عشان هيك تطلع هذا بالسالب، معناته ستكون
+
+380
+00:47:26,530 --> 00:47:37,190
+link في حالة انضغاط، كم تطلع؟ سالب ثمانين فاصلة
+
+381
+00:47:42,420 --> 00:47:47,340
+نيوتن، معناته الـ link FD
+
+382
+00:47:47,340 --> 00:47:52,740
+يعني لما انضغطت هنا، ستضغط عليها، هكذا، وتحاول
+
+383
+00:47:52,740 --> 00:47:59,380
+تسحب، يعني هذه ستكون شد، وهذه ضغط، ستكون هذه بالسالب
+
+384
+00:47:59,380 --> 00:48:02,940
+ماشي، أُعطيِكُم العفو
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/HyrtOnOCGWk_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/HyrtOnOCGWk_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..bfbec4166772c2d13acd6d43c0a197a45fe643cf
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/HyrtOnOCGWk_postprocess.srt
@@ -0,0 +1,1536 @@
+1
+00:00:04,940 --> 00:00:07,860
+بسم الله الرحمن الرحيم السلام عليكم و رحمة الله و
+
+2
+00:00:07,860 --> 00:00:12,360
+بركاته هنكمل في مادة ال dynamica هندخل على chapter
+
+3
+00:00:12,360 --> 00:00:16,820
+جديد اللي هو ال plan motion of rigid bodies forces
+
+4
+00:00:16,820 --> 00:00:19,600
+and acceleration يعني هنحكي عن kinetics of rigid
+
+5
+00:00:19,600 --> 00:00:24,290
+bodiesفي ال chapter هذا هنغطي ال equations of
+
+6
+00:00:24,290 --> 00:00:28,910
+motion of a rigid body هنحكي عن angular momentum
+
+7
+00:00:28,910 --> 00:00:33,810
+of a rigid body في حالة general plan motion هنحكي
+
+8
+00:00:33,810 --> 00:00:38,610
+عن constraint plan motion non-stationary rotation
+
+9
+00:00:38,610 --> 00:00:40,830
+rolling motion
+
+10
+00:00:45,800 --> 00:00:49,660
+الان ال rigid body مكون من عدد لا نهائي من ال
+
+11
+00:00:49,660 --> 00:00:53,640
+particles المسافة بين كل particle و particle fixed
+
+12
+00:00:53,640 --> 00:00:56,940
+معناته
+
+13
+00:00:56,940 --> 00:01:03,800
+ال velocity و ال acceleration للنقاط
+
+14
+00:01:03,800 --> 00:01:09,140
+او ال particles المكونة لل particle مختلفةباختلاف
+
+15
+00:01:09,140 --> 00:01:12,620
+تفاصيل نوع الحركة اللي هو بتحرك حركة انتقالية ولا
+
+16
+00:01:12,620 --> 00:01:17,160
+حركة دورانية او general plan motion يعني فيه دوران
+
+17
+00:01:17,160 --> 00:01:24,220
+وفيه rotation الان معناته هيكون احنا في ال
+
+18
+00:01:24,220 --> 00:01:27,840
+particle احنا كنا نحكي ال summation of force م في
+
+19
+00:01:27,840 --> 00:01:34,350
+aلكن في حالة ال rigid body صار الجسم له volume له
+
+20
+00:01:34,350 --> 00:01:39,550
+size معناته لزغنا a second equation اللي هو ال
+
+21
+00:01:39,550 --> 00:01:43,930
+summation للمoment حوالين مركز الثقل بسبب معدل
+
+22
+00:01:43,930 --> 00:01:51,430
+التغير في كمية اللي هو الزخم الزاويةمعادل تاير
+
+23
+00:01:51,430 --> 00:01:56,250
+الزخم الزاوية حوالين مركز الثقل يعني عنده معادلتين
+
+24
+00:01:56,250 --> 00:02:00,630
+وصميش ال force بيساوي M في A وصميش ال moment
+
+25
+00:02:00,630 --> 00:02:11,170
+حوالين مركز الثقل بيساوي HG Dot في
+
+26
+00:02:11,170 --> 00:02:16,250
+حالة plan motion ال
+
+27
+00:02:18,040 --> 00:02:20,840
+ال rate would change في anger و momentum حوالي
+
+28
+00:02:20,840 --> 00:02:28,210
+مركز اتقال هذا طبعا عندي هذاهذا body symmetric
+
+29
+00:02:28,210 --> 00:02:32,790
+حوالين ال x y plane يعني ال x y plane قاطعه و
+
+30
+00:02:32,790 --> 00:02:37,210
+متمثل حوالين ال x y plane متمثل حوالين ال x y
+
+31
+00:02:37,210 --> 00:02:41,690
+plane ال rate of change of angular momentum بتكون
+
+32
+00:02:41,690 --> 00:02:44,590
+تساوي I في Alpha ال I اللي هي moment of inertia
+
+33
+00:02:44,590 --> 00:02:50,810
+للجسم حوالين مركز ثقله وال Alpha اللي هي العجل
+
+34
+00:02:50,810 --> 00:02:54,710
+الزاوية للجسم ال angular momentum للجسمطبعا هذه
+
+35
+00:02:54,710 --> 00:02:58,310
+النتيجة اللي هي هذه العلاقة HG dot بالسوء I في
+
+36
+00:02:58,310 --> 00:03:06,150
+Alpha بتكون صحيحة في حالة حركة مستوية
+
+37
+00:03:08,710 --> 00:03:13,990
+و الجسم متمثل حلقانة حوالين المستوى XY plane يعني
+
+38
+00:03:13,990 --> 00:03:19,410
+فيه symmetry otherwise في حالة general 3D motion
+
+39
+00:03:19,410 --> 00:03:23,910
+وفيهش symmetry المعادلة دي مش .. مش صحيحة بتكون ..
+
+40
+00:03:23,910 --> 00:03:25,430
+بدك تخش علشان advance أكتر
+
+41
+00:03:30,160 --> 00:03:33,100
+معناة ال result are not valid for asymmetrical
+
+42
+00:03:33,100 --> 00:03:36,520
+bodies or 3D motion يعني ال result اللي هي hg dot
+
+43
+00:03:36,520 --> 00:03:41,840
+dot بيصيح I في الفة تنطبقش في حالة أجسام غير
+
+44
+00:03:41,840 --> 00:03:50,160
+متماثلة أو في حالة ال 3D motion الآن
+
+45
+00:03:50,160 --> 00:03:55,480
+في عند جسم هنا مأثرة forces F1, F2, F3, F4 هذا
+
+46
+00:03:55,480 --> 00:04:01,630
+مركز ثقله نتيجة ال forces هذهصار حركة للجسم الحركة
+
+47
+00:04:01,630 --> 00:04:08,450
+جزءين جزء انتقالي وجزء دوراني الجزء الانتقالي
+
+48
+00:04:08,450 --> 00:04:12,550
+بيخلي مركز استقال يتحرك ب linear acceleration M في
+
+49
+00:04:12,550 --> 00:04:18,910
+A وجزء الدوراني بيخلي rotation حوالي مركز استقال
+
+50
+00:04:18,910 --> 00:04:21,790
+او inertia vector I Alpha ال I اللي هي ال momentum
+
+51
+00:04:21,790 --> 00:04:25,190
+of inertia و ال Alpha اللي هي angular acceleration
+
+52
+00:04:25,190 --> 00:04:31,130
+معناته general plan motion جزءين جزءtranslation و
+
+53
+00:04:31,130 --> 00:04:38,650
+جزء ايش rotation او
+
+54
+00:04:38,650 --> 00:04:45,970
+ممكن يعني اعمل ان انا عندى body عليه F1 F2 F3 F4
+
+55
+00:04:45,970 --> 00:04:51,560
+هذا ال equivalent هيعطونيgeneral motion جزء منها
+
+56
+00:04:51,560 --> 00:04:59,200
+linear اللي هي M في A جزء منها rotation I في Alpha
+
+57
+00:04:59,200 --> 00:05:03,440
+او اذا بانقل ال M A ع الجهة التانية بيصير اندي
+
+58
+00:05:03,440 --> 00:05:08,160
+minus M A اللي هي inertia vector قوة قصور ذاتي و
+
+59
+00:05:08,160 --> 00:05:11,660
+minus I Alpha و بحكي summation of all forces
+
+60
+00:05:11,660 --> 00:05:16,080
+including inertia بالساوية Zero و summation of all
+
+61
+00:05:16,080 --> 00:05:21,570
+moments حوالين ال G برضه ايش بالساويةzero اللي صار
+
+62
+00:05:21,570 --> 00:05:24,850
+انا اعتبرت ال ما و هي فعليا انها انيرشيا فورس
+
+63
+00:05:24,850 --> 00:05:30,290
+انيرشيا فورس وال I ألفة برضه انها انيرشيا تورك
+
+64
+00:05:30,290 --> 00:05:33,730
+هنشوف
+
+65
+00:05:33,730 --> 00:05:40,350
+مثال عندى
+
+66
+00:05:40,350 --> 00:05:44,630
+at a forward speed of 30 feet per second كان هذا
+
+67
+00:05:44,630 --> 00:05:46,030
+ال truck ماشي بالسرعة ابتدائية
+
+68
+00:05:50,960 --> 00:06:01,540
+سوى تلاتين قدم per second بهذا الاتجاه the
+
+69
+00:06:01,540 --> 00:06:07,360
+track brakes were applied ضغط على الكوابع causing
+
+70
+00:06:07,360 --> 00:06:09,700
+the wheels to stop rotating لما ضغط على الكوابع
+
+71
+00:06:09,700 --> 00:06:13,360
+العجلات بتبطل تلف بيصير السيارة عياش تنزلق
+
+72
+00:06:15,130 --> 00:06:19,530
+it was observed that that truck is skidded to a
+
+73
+00:06:19,530 --> 00:06:25,570
+stop in twenty feet احنا هنسره نزلق للسيارة لمسافة
+
+74
+00:06:25,570 --> 00:06:29,390
+عشرين قدم لحد لحظة التوقف يعني احنا هتكون عنده
+
+75
+00:06:29,390 --> 00:06:38,430
+اللي هي مسافة delta X عشرين قدم والسرعة النهائية
+
+76
+00:06:38,430 --> 00:06:40,230
+كانت ايه شو الساعة؟ Zero
+
+77
+00:06:54,900 --> 00:06:58,400
+determine the magnitude of the normal reaction and
+
+78
+00:06:58,400 --> 00:07:01,540
+friction force at each wheel as the track is
+
+79
+00:07:01,540 --> 00:07:05,820
+skidded to a stop أوجد قيمة رد الفعل العمودي
+
+80
+00:07:05,820 --> 00:07:12,900
+والاحتكاك عند كل عجلة في فترة الانزلاق عشان اعمل
+
+81
+00:07:12,900 --> 00:07:15,600
+كلام لازم اعمل ايهاش free body diagram
+
+82
+00:07:24,450 --> 00:07:50,230
+فيه بدأ اقرأ امر عندي هاي السيارة هاي
+
+83
+00:07:50,230 --> 00:07:51,530
+مركز استقلال السيارة
+
+84
+00:07:56,050 --> 00:08:09,890
+G و هذه نقطة A هذه B و أعطينا معلومة هو على موقع
+
+85
+00:08:09,890 --> 00:08:16,150
+مركز استقال هذه
+
+86
+00:08:16,150 --> 00:08:22,390
+الأرض هذه
+
+87
+00:08:22,390 --> 00:08:34,550
+أربعة قدمهذه خمسة قدم هذه سبعة قدم ال
+
+88
+00:08:34,550 --> 00:08:40,750
+force اللي بتأثر على السيارة إيش هي الوزن نحكي ده
+
+89
+00:08:40,750 --> 00:08:46,110
+هي ال W
+
+90
+00:08:46,110 --> 00:08:51,730
+و
+
+91
+00:08:51,730 --> 00:09:04,220
+في عندي هينال R او ال normal force هاي
+
+92
+00:09:04,220 --> 00:09:10,020
+N A و
+
+93
+00:09:10,020 --> 00:09:13,720
+هاي N B
+
+94
+00:09:13,720 --> 00:09:16,780
+طبعا
+
+95
+00:09:16,780 --> 00:09:20,100
+هاي اتجاه الحركة و انا بتحكوا في عندي friction هنا
+
+96
+00:09:23,560 --> 00:09:33,700
+ميو كي ان بي وعندي هين ميو
+
+97
+00:09:33,700 --> 00:09:45,780
+كي ان بي الان
+
+98
+00:09:45,780 --> 00:09:51,960
+ان هو الحركة حالتنا عندنا فيرو ترانزليشن صح؟ ماصار
+
+99
+00:09:51,960 --> 00:09:56,070
+روتيشن للسيارةالأن هاي السيارة
+
+100
+00:10:31,850 --> 00:10:36,170
+هتكون اللي هياش هتكون
+
+101
+00:10:36,170 --> 00:10:51,570
+العكس ال acceleration هدي
+
+102
+00:10:51,570 --> 00:10:54,290
+A هدي B
+
+103
+00:11:18,850 --> 00:11:24,990
+اللي هو ال acceleration ممكن يحسبها؟
+
+104
+00:11:24,990 --> 00:11:31,630
+اللي
+
+105
+00:11:31,630 --> 00:11:36,010
+بتحكوا او لأ فكروا بدت
+
+106
+00:11:36,010 --> 00:11:40,610
+السورة تقتلتين و توقفت خلال عشرين قدم وسط السورة
+
+107
+00:11:40,610 --> 00:11:45,470
+تقريه صفر معناه انت مقدر تحسب ال acceleration،
+
+108
+00:11:45,470 --> 00:11:49,070
+مظبوط؟وان هو الحركة عند ال pure translation يعني
+
+109
+00:11:49,070 --> 00:11:56,050
+ال acceleration او ال velocity لكل النقاط الموجودة
+
+110
+00:11:56,050 --> 00:11:58,630
+على الجسم بما فيها مارك استقلال نفس الاشي هتكون
+
+111
+00:11:58,630 --> 00:12:09,270
+يعني هتكون هذه اللي هو V square V not square زي
+
+112
+00:12:09,270 --> 00:12:19,450
+اتنين A دلتا X صراحة ان هي عندي Hالصفر الابتدائية
+
+113
+00:12:19,450 --> 00:12:27,450
+اللي هي تلاتين تربيع زي اتنين a دلتا اكس اللي هي
+
+114
+00:12:27,450 --> 00:12:37,410
+في عشرين معناته ال a هتكون تسعمية على اربعين يعني
+
+115
+00:12:37,410 --> 00:12:42,490
+تسعين على اربع تسعين وعشرين و نص بالسالم هتكون
+
+116
+00:12:47,970 --> 00:13:00,130
+قدم او ممكن احكي اتنين وعشرين و نص قدم هذا
+
+117
+00:13:00,130 --> 00:13:08,150
+الاتجاه عندى
+
+118
+00:13:08,150 --> 00:13:09,590
+طبعا forces
+
+119
+00:13:16,630 --> 00:13:22,130
+هذه ال X هذه
+
+120
+00:13:22,130 --> 00:13:28,670
+ال Y دي
+
+121
+00:13:28,670 --> 00:13:35,490
+اعتبر هذا ال X هو الموجب ال Y و ال X يعني عندي
+
+122
+00:13:35,490 --> 00:13:39,990
+some additional forces باتجاه
+
+123
+00:13:39,990 --> 00:13:45,230
+ال Y هل في حركة بتجاه ال Y صفر
+
+124
+00:13:48,850 --> 00:14:05,150
+هتكون تساوي NA زاد NB minus W هم عطيني W نعم
+
+125
+00:14:05,150 --> 00:14:14,010
+مش فاهم هنا
+
+126
+00:14:14,010 --> 00:14:16,910
+انا حكيت اذا زادت هتعطيك نقص بعدين انا حكيت ال A
+
+127
+00:14:17,670 --> 00:14:21,770
+إذا حطيت اتجاه غلط هحط سالب خلاص بناحكيلك هى .. هى
+
+128
+00:14:21,770 --> 00:14:27,770
+.. كتب التركيز هو هى اتجاهها يعني هكون عندى N A
+
+129
+00:14:27,770 --> 00:14:39,090
+زاد N B بالساوى W و هذا هذا اتجاه الموجب
+
+130
+00:14:39,090 --> 00:14:46,590
+sumational forces F X بالساوى
+
+131
+00:14:49,600 --> 00:15:08,960
+م اكس صح يعني انا هكون عندى مو ك ن ا زاد مو ك ن بي
+
+132
+00:15:08,960 --> 00:15:16,540
+مش سوى م في ايه م اللي هى w على g صح في
+
+133
+00:15:16,540 --> 00:15:16,780
+ايه
+
+134
+00:15:19,910 --> 00:15:24,710
+يعني انا هكون اندي ميو كي
+
+135
+00:15:24,710 --> 00:15:32,210
+في ن ا زائد ن بي
+
+136
+00:15:32,210 --> 00:15:45,790
+مستوى w على g في a هاد معادلة واحد هاد
+
+137
+00:15:45,790 --> 00:15:48,410
+معادلة اتنين
+
+138
+00:15:49,770 --> 00:15:57,110
+أنا كام مجهول عندي، عندي NA و NB و UK معناه بتبدي
+
+139
+00:15:57,110 --> 00:16:04,310
+معادلة تالتة، إيش المعادلة التالتة؟
+
+140
+00:16:04,310 --> 00:16:08,590
+عندي
+
+141
+00:16:08,590 --> 00:16:14,390
+أنا كام مجهول، NA و NB و UK في معادلتين، معناه
+
+142
+00:16:14,390 --> 00:16:18,470
+بتقدر أحل المعادلة، بتبدي معادلة تالتة، يعني تلت
+
+143
+00:16:18,470 --> 00:16:24,210
+مجهول و معادلتينممكن احسب مي و كيف اقسم الأول على
+
+144
+00:16:24,210 --> 00:16:27,110
+التام احسب مي و كيف مش مشكلة لكن ماقدرش احسب عن a
+
+145
+00:16:27,110 --> 00:16:32,810
+و عن بي مش كافي بدي معادلة تالتة مية في المية
+
+146
+00:16:32,810 --> 00:16:40,510
+معناته هاخد انا summation of
+
+147
+00:16:40,510 --> 00:16:47,810
+moment summation of moment حوالين جي بالسوء I
+
+148
+00:16:47,810 --> 00:16:58,570
+حوالين جي في الفةخلّيني أعتبر هذا الاتجاه موجة
+
+149
+00:16:58,570 --> 00:17:07,870
+طيب
+
+150
+00:17:07,870 --> 00:17:12,230
+هل ال rotation هو معناه أن ال alpha تعطيك بالساوية
+
+151
+00:17:12,230 --> 00:17:19,630
+صفر يعني عند ال alpha هنا بالساوية صفر معناه أنك
+
+152
+00:17:19,630 --> 00:17:21,130
+ستكون ال summation أحوالي g
+
+153
+00:17:24,140 --> 00:17:35,980
+هتروح ال W هكون عندي N A أو خمسة minus خمسة N A
+
+154
+00:17:35,980 --> 00:17:40,740
+زائد
+
+155
+00:17:40,740 --> 00:17:47,700
+سبعة N B minus
+
+156
+00:17:47,700 --> 00:17:51,700
+أربعة
+
+157
+00:17:53,840 --> 00:18:04,880
+ميو كي ن إيه ماينوس أربعة ميو كي ن بي ساوة سفر
+
+158
+00:18:04,880 --> 00:18:17,360
+يعني
+
+159
+00:18:17,360 --> 00:18:22,440
+هيكون عندي لاخت ن إيه عم مشترك ن إيه
+
+160
+00:18:25,430 --> 00:18:30,570
+فاندي minus خمسة minus
+
+161
+00:18:30,570 --> 00:18:45,050
+أربعة ميو كيه زائد ان بي في سبعة ناقص أربعة ميو
+
+162
+00:18:45,050 --> 00:18:50,930
+كيه صفر صفر هذه المعادلة ايش تلاتة
+
+163
+00:18:57,550 --> 00:19:05,910
+أو باجي أحكي summation summation
+
+164
+00:19:05,910 --> 00:19:15,050
+عن هذه or يعني summation لل M حوالين A دي اعتبر
+
+165
+00:19:15,050 --> 00:19:19,730
+هذا موجب بيساوي ال M A effective
+
+166
+00:19:27,190 --> 00:19:32,130
+لان ناخد على الجهة الشمال هتروح
+
+167
+00:19:32,130 --> 00:19:47,250
+N A و Mu N B و Mu N A و Mu K N B بس ال effect بكون
+
+168
+00:19:47,250 --> 00:19:55,670
+W N B يعني هتكون minus خمسة W
+
+169
+00:19:58,210 --> 00:20:03,050
+زاد اتناش هذا
+
+170
+00:20:03,050 --> 00:20:11,370
+الجهة الشمال الجهة اليمين فين دي I ألف اللي هي صفر
+
+171
+00:20:11,370 --> 00:20:16,350
+وهي moment وفين دي ال M A بتعمل moment حوالين ال A
+
+172
+00:20:16,350 --> 00:20:25,170
+هتكون تستوى اللي هي اربعة M A
+
+173
+00:20:29,900 --> 00:20:34,440
+يعني هي كتر من هذه بس ممكن تحل زيك ممكن تحل تلقت
+
+174
+00:20:34,440 --> 00:20:44,200
+موعدة لأ يعني هكون عنده الان بي
+
+175
+00:20:44,200 --> 00:20:53,040
+بالساوية تلت الام اللي هي w a على g
+
+176
+00:20:56,060 --> 00:21:06,700
+زاد خمسة على اتناش W يعني لو عوضنا هتكون
+
+177
+00:21:06,700 --> 00:21:10,740
+عند A طلع
+
+178
+00:21:10,740 --> 00:21:15,880
+W برا فيه
+
+179
+00:21:15,880 --> 00:21:20,040
+ال A عند A عشرين اتنين و عشرين و نص
+
+180
+00:21:25,790 --> 00:21:35,330
+ع التلاتة في اتنين و تلاتين اتنين من عشرة زاد خمسة
+
+181
+00:21:35,330 --> 00:21:41,350
+على اتناش اك حسبت انا ايش الان بيه بدلالة ال W
+
+182
+00:21:41,350 --> 00:21:47,610
+بعدين
+
+183
+00:21:47,610 --> 00:21:54,390
+لو قسمت اتنين على واحد اتنين على واحد
+
+184
+00:22:00,420 --> 00:22:06,720
+بيعطينا ميو كا بساوة
+
+185
+00:22:06,720 --> 00:22:09,800
+بتروح
+
+186
+00:22:09,800 --> 00:22:16,500
+W على W بيسكون ايش A على G اللي
+
+187
+00:22:16,500 --> 00:22:19,820
+هي اين و عشرين و نص
+
+188
+00:22:36,360 --> 00:22:43,120
+اكام؟ point six اربع
+
+189
+00:22:43,120 --> 00:22:44,960
+تسعة point six four nine point six four nine point
+
+190
+00:22:44,960 --> 00:22:48,800
+six point six point six point six point six point
+
+191
+00:22:48,800 --> 00:22:49,500
+six point six point six point six point six point
+
+192
+00:22:49,500 --> 00:22:50,860
+six point six point six point six point six point
+
+193
+00:22:50,860 --> 00:22:51,000
+six point six point six point six point six point
+
+194
+00:22:51,000 --> 00:22:52,180
+six point six point six point six point six point
+
+195
+00:22:52,180 --> 00:22:52,220
+six point six point six point six point six point
+
+196
+00:22:52,220 --> 00:22:52,600
+six point six point six point six point six point
+
+197
+00:22:52,600 --> 00:22:53,340
+six point six
+
+198
+00:23:03,190 --> 00:23:11,170
+نطرح من هذه واحد هيكون واحد
+
+199
+00:23:11,170 --> 00:23:22,130
+خمسة تلاتة W صح هذا
+
+200
+00:23:22,130 --> 00:23:28,050
+على عجل واحد و هذا على عجل تان ع التنتين ع التنتين
+
+201
+00:23:28,050 --> 00:23:30,870
+معناته ال N إيه هذا؟
+
+202
+00:23:33,520 --> 00:23:40,540
+for two wheels هنا
+
+203
+00:23:40,540 --> 00:23:46,200
+عجلين وهنا عجلين هنا
+
+204
+00:23:46,200 --> 00:23:49,920
+كم عجل عندك؟ هى عجل وعجل مش شايف وانت عند ايه هم
+
+205
+00:23:49,920 --> 00:23:56,960
+اربع عجل هنا اتنين وهنا اتنين وهذه برضه for two
+
+206
+00:23:56,960 --> 00:23:57,320
+wheels
+
+207
+00:24:02,540 --> 00:24:11,740
+معناته per wheel بده احكي NA لل wheel الواحدة
+
+208
+00:24:11,740 --> 00:24:26,280
+هتكون هدا ع اتنين point تلاتة سبعة سفر خمسة point
+
+209
+00:24:32,800 --> 00:24:37,720
+بنت واحد سفر
+
+210
+00:24:37,720 --> 00:24:49,140
+خمسة و لا خمسة خمسة ال W و ال NB ل ال wheel واحدة
+
+211
+00:24:49,140 --> 00:24:56,800
+هتكون هدع اتنين سفر تلاتة تلات
+
+212
+00:24:56,800 --> 00:24:58,020
+اتنين اربعة خمسة
+
+213
+00:25:10,480 --> 00:25:18,500
+W ماعرفش فيه سؤال؟ نشوف السؤال تاني
+
+214
+00:26:27,770 --> 00:26:45,150
+طيب the thin
+
+215
+00:26:45,150 --> 00:26:48,550
+plate of mass تمانية كيلو جرام فى عندى plate اللى
+
+216
+00:26:48,550 --> 00:26:53,250
+هو plate a,b,c,d كتلته
+
+217
+00:26:57,230 --> 00:27:10,070
+تم قطل حبل تم قطل
+
+218
+00:27:10,070 --> 00:27:14,170
+حبل تم قطل حبل تم قطل حبل تم قطل حبل تم قطل حبل تم
+
+219
+00:27:14,170 --> 00:27:22,250
+قطل حبل تم قطل
+
+220
+00:27:22,250 --> 00:27:28,070
+حبل تم قطل حبلوجد ال acceleration of the plate و
+
+221
+00:27:28,070 --> 00:27:32,650
+ال force in each plate مباشرة بعد قطع الحبل بدك
+
+222
+00:27:32,650 --> 00:27:37,110
+توجد ال acceleration لل plate و ال force في ال
+
+223
+00:27:37,110 --> 00:27:43,690
+link EA و ال link FD
+
+224
+00:27:43,690 --> 00:27:46,770
+هنا
+
+225
+00:27:46,770 --> 00:27:52,830
+هنعمله force analysis انا
+
+226
+00:27:52,830 --> 00:27:53,730
+عندي هاي ال plate
+
+227
+00:28:16,160 --> 00:28:23,820
+الـ plate مستطيل المركز سيكون في النصف، صح؟
+
+228
+00:28:23,820 --> 00:28:29,000
+فيه الوزن لتحت ان
+
+229
+00:28:29,000 --> 00:28:32,900
+تبقى ده في الوحدات المترية بستخدم MG وفي ال
+
+230
+00:28:32,900 --> 00:28:38,020
+English بستخدم W عند
+
+231
+00:28:38,020 --> 00:28:41,160
+هذه ال link ده افترضها two force member يعني افترض
+
+232
+00:28:41,160 --> 00:28:41,720
+ال force
+
+233
+00:28:46,040 --> 00:28:56,820
+هذه F A وهذه F
+
+234
+00:28:56,820 --> 00:29:11,800
+D وهذه نقطة A وهذه B وهذه D وهذه C وهذه F
+
+235
+00:29:15,170 --> 00:29:21,950
+هذه ايش ايه
+
+236
+00:29:21,950 --> 00:29:26,650
+مباشرة بعد قطر الحبل بتكون .. يعني بداش يتحرك بس
+
+237
+00:29:26,650 --> 00:29:30,990
+هيتحرك بل هيكون له acceleration هيكون له
+
+238
+00:29:30,990 --> 00:29:35,550
+acceleration الان اول شي نعرف ان هو الحركة بتاعة
+
+239
+00:29:35,550 --> 00:29:39,730
+الجسم هذا هل
+
+240
+00:29:39,730 --> 00:29:43,470
+هي translation ولا rotation ولاitarian ايش اتوقعه
+
+241
+00:29:48,460 --> 00:29:53,840
+كيف هاراه ان هي translation ولا مش translation ال
+
+242
+00:29:53,840 --> 00:29:58,260
+translation كل النقاط بتتحرك في مسارات متوازية
+
+243
+00:29:58,260 --> 00:30:04,280
+المسار مش ضرور يكون عدل لو أخدت النقطة A ال link
+
+244
+00:30:04,280 --> 00:30:16,000
+EA pure rotation معناته هتعمل ايش هذه دائرة هتعمل
+
+245
+00:30:16,000 --> 00:30:17,360
+هذه دائرة مركزها
+
+246
+00:30:26,480 --> 00:30:31,440
+هذه دائرة وهذه مركزها و
+
+247
+00:30:31,440 --> 00:30:37,320
+ال link fd تعمل دائرة
+
+248
+00:30:37,320 --> 00:30:42,660
+مصار
+
+249
+00:30:42,660 --> 00:30:53,060
+دائرة معناته
+
+250
+00:30:53,060 --> 00:31:02,380
+هذا المصار اشمالهموازي معناته اللي هي points a and
+
+251
+00:31:02,380 --> 00:31:08,920
+d a and
+
+252
+00:31:08,920 --> 00:31:15,280
+d move along
+
+253
+00:31:15,280 --> 00:31:19,160
+parallel
+
+254
+00:31:19,160 --> 00:31:23,440
+circular
+
+255
+00:31:26,120 --> 00:31:31,840
+paths يعني تتحرك على مسار دائري المسار الدائري
+
+256
+00:31:31,840 --> 00:31:36,140
+متوازي هذا المسار الدائري بوازي هذا منعته إيش نوع
+
+257
+00:31:36,140 --> 00:31:45,000
+الحركة translation translation منعته عند ال plate
+
+258
+00:31:45,000 --> 00:31:49,980
+is
+
+259
+00:31:49,980 --> 00:31:52,820
+in curvilinea
+
+260
+00:32:02,500 --> 00:32:09,460
+translation صح؟ تحرك حركة انتقالية معناته
+
+261
+00:32:09,460 --> 00:32:12,360
+ال acceleration of all points على ال plate بتكون
+
+262
+00:32:12,360 --> 00:32:17,320
+نفس الاتجاه و نفس القيمة صح؟ و ال velocities برضه
+
+263
+00:32:17,320 --> 00:32:21,600
+طيب اميديات مباشرة كان في سرعة على النقطة ايه
+
+264
+00:32:21,600 --> 00:32:26,290
+مباشرةيعني مافيش angular كانت ال angular velocity
+
+265
+00:32:26,290 --> 00:32:31,390
+كانت zero لل link EA في البداية طبعا وال angular
+
+266
+00:32:31,390 --> 00:32:35,250
+velocity لل link FD برضه بيساوي zero ال
+
+267
+00:32:35,250 --> 00:32:37,310
+acceleration لنقطة دي هيكونها two components واحدة
+
+268
+00:32:37,310 --> 00:32:42,070
+normal اللي هي omega square في R اللي هي صفر وفي
+
+269
+00:32:42,070 --> 00:32:48,030
+tangential component اللي هي Alpha Alpha في R يعني
+
+270
+00:32:48,030 --> 00:32:51,890
+هي ال acceleration هتكون عمودية
+
+271
+00:32:57,480 --> 00:33:02,860
+لكل النقاط هو نفس الاشي G موازية هتكون نفس الاشي
+
+272
+00:33:02,860 --> 00:33:15,780
+هذه G هذه H ال A كلهم A يعني ال A A بالساوية
+
+273
+00:33:15,780 --> 00:33:23,740
+ال A D بالساوية ال A G خلينا نسميها H A F الساوية
+
+274
+00:33:30,440 --> 00:33:36,180
+انا مش عارف ال alpha بتاعتها دي هذه لها alpha لان
+
+275
+00:33:36,180 --> 00:33:41,020
+هو pure rotation لكن هذه لها alpha بس اللي عرفته
+
+276
+00:33:41,020 --> 00:33:50,680
+انا انه مافيش alpha يعني ال alpha ال alphaللي
+
+277
+00:33:50,680 --> 00:33:56,660
+plate بتساوياش zero صح هذا المعلومة المفيدة اللي
+
+278
+00:33:56,660 --> 00:33:57,180
+عرفتها
+
+279
+00:34:43,900 --> 00:34:56,660
+هذه هذه جيه صح؟ هذه
+
+280
+00:34:56,660 --> 00:35:03,320
+هتكون ام ام في اين ام في اين
+
+281
+00:35:06,230 --> 00:35:12,490
+لأ على الأقل ال A بقرا في اتجاهها اذا هات تلاتينها
+
+282
+00:35:12,490 --> 00:35:22,310
+دي هتكون كام؟ ستين لأن
+
+283
+00:35:22,310 --> 00:35:28,380
+ال force المأثرة عندى الوزن MGعندي ال force عند ال
+
+284
+00:35:28,380 --> 00:35:37,400
+link a اللي هي a a لي f a و ال force f d force fd
+
+285
+00:35:37,400 --> 00:35:42,400
+يعني ممكن انا مصمش ال force بتجاه ال x مصمش ال
+
+286
+00:35:42,400 --> 00:35:52,720
+force بتجاه ال y و اخد ال moment حوالين g طيب
+
+287
+00:35:54,230 --> 00:35:59,530
+يعني once انا حلت الخطوه اعملت الخطوه ده حلت
+
+288
+00:35:59,530 --> 00:36:03,770
+المثله ممكن حد نحلها بطريقة طويله و حد نحلها
+
+289
+00:36:03,770 --> 00:36:11,190
+بطريقة سريعه اسرع طيب
+
+290
+00:36:11,190 --> 00:36:15,130
+لو بدأ ابدا في ال moment طبعا هيكون بشكل عام two
+
+291
+00:36:15,130 --> 00:36:15,570
+equations
+
+292
+00:36:19,460 --> 00:36:24,240
+و sumational of moment بالساوية I في Alpha حد
+
+293
+00:36:24,240 --> 00:36:28,380
+حوالين G بالساوية صفر هاي ال two equations الان لو
+
+294
+00:36:28,380 --> 00:36:33,480
+بدأ اخد ال moment وين ممكن اخد ال moment حوالين
+
+295
+00:36:33,480 --> 00:36:40,620
+نقطة تكون
+
+296
+00:36:40,620 --> 00:36:44,760
+سهلة او
+
+297
+00:36:44,760 --> 00:36:48,000
+خليني اعرف مثلا اعرف اتجاه ال X و Y مثلا لو حكيت
+
+298
+00:36:48,000 --> 00:36:49,060
+ان هاي اتجاه ال X
+
+299
+00:36:53,860 --> 00:37:06,760
+و هاي اتجاه ال Y وهاي
+
+300
+00:37:06,760 --> 00:37:12,340
+اتجاه ال X وهاي
+
+301
+00:37:12,340 --> 00:37:20,660
+اتجاه ال Y لاحظ
+
+302
+00:37:20,660 --> 00:37:27,440
+ال F Aو ال FD جاين تجاه ال X اللي أخد ال
+
+303
+00:37:27,440 --> 00:37:33,740
+submission لل forces بتجاه ال FY مش هيتبين عندي FA
+
+304
+00:37:33,740 --> 00:37:43,820
+و FD صح؟ معناته submission لل forces بتجاه
+
+305
+00:37:43,820 --> 00:37:49,340
+ال Y بتساوي
+
+306
+00:37:49,340 --> 00:37:51,580
+MAY
+
+307
+00:38:02,730 --> 00:38:17,490
+هذه ال X وهذه ال Y هذه تلاتين درجة وهذه ستين وهذه
+
+308
+00:38:17,490 --> 00:38:21,390
+تلاتين
+
+309
+00:38:21,390 --> 00:38:25,710
+هذه
+
+310
+00:38:25,710 --> 00:38:26,650
+الاتجاه الموجب
+
+311
+00:38:30,690 --> 00:38:35,190
+مش هتبين عندي لأف ايه ولا اف دي هيكون عندي مج كسين
+
+312
+00:38:35,190 --> 00:38:40,990
+التلاتين بالسالب سالب مج
+
+313
+00:38:40,990 --> 00:38:49,090
+كسين التلاتين ماهي
+
+314
+00:38:49,090 --> 00:38:53,790
+هذه ال ma موازية للوقت بيستويش م في ايه بيستوي
+
+315
+00:38:53,790 --> 00:38:59,890
+minus m في a صح؟
+
+316
+00:39:00,980 --> 00:39:12,160
+يعني ال a هتساوي ال g cos 30 يعني هتكون اللي هي
+
+317
+00:39:12,160 --> 00:39:27,140
+تسعة بون تمانية سفر ستة في بون تمانية ستة ستة هكذا
+
+318
+00:39:27,140 --> 00:39:27,520
+بتطلع
+
+319
+00:39:31,120 --> 00:39:39,060
+تمانية point اربعة تسعة كم هو الرقم واحد هذا
+
+320
+00:39:39,060 --> 00:39:46,420
+ال ايه meter per second square
+
+321
+00:39:46,420 --> 00:39:49,640
+عشان
+
+322
+00:39:49,640 --> 00:39:54,980
+احسب ال forces باخد
+
+323
+00:39:54,980 --> 00:40:00,620
+summation حوالين دي او ايه summation of moment
+
+324
+00:40:05,800 --> 00:40:15,960
+حوالين دي تحكي هذا موجب بالثواب م دي effective
+
+325
+00:40:15,960 --> 00:40:19,120
+الجهة
+
+326
+00:40:19,120 --> 00:40:27,300
+الشمال طبعا ال F دي هتروح مش هتبين بيكون دي ال F
+
+327
+00:40:27,300 --> 00:40:29,580
+إيه لها مركبتين ال F إيه؟
+
+328
+00:40:35,430 --> 00:40:43,130
+لها مركبتين مركب هذه بتعملش همو انت هتكون عندها FA
+
+329
+00:40:43,130 --> 00:40:59,190
+Cos 30 في المسافة هذه في 200 صح 200 FA Cos 30 ناقص
+
+330
+00:41:01,180 --> 00:41:07,840
+250 في MG صح نقص 250 في
+
+331
+00:41:07,840 --> 00:41:11,680
+MG هتسوى
+
+332
+00:41:11,680 --> 00:41:20,620
+I في Alpha اللي هي صفر زاد اللي هنا ال A هذه بتعمل
+
+333
+00:41:20,620 --> 00:41:29,440
+ستين درجة فيها مركبتين هتزاوى ستين صح في ال MA Cos
+
+334
+00:41:29,440 --> 00:41:37,140
+60م اي كوسين الستين في
+
+335
+00:41:37,140 --> 00:41:44,640
+المسافة هذه في مية صح هي هتكون بتساوي مية م اي
+
+336
+00:41:44,640 --> 00:41:56,820
+كوسين الستين ماينوس متين و خمسين م
+
+337
+00:41:56,820 --> 00:41:59,760
+اي صين الستين
+
+338
+00:42:05,040 --> 00:42:10,020
+مظبوط هذه الـ momentum هذه بتعمل موجب وهذه بتعمل
+
+339
+00:42:10,020 --> 00:42:18,340
+سانب يعني
+
+340
+00:42:18,340 --> 00:42:20,560
+لو اشيل هذه الصفر
+
+341
+00:42:31,460 --> 00:42:40,340
+واتشيل خمسة هيبتصير أربعة هذه خمسة هذه اتنين هذه
+
+342
+00:42:40,340 --> 00:42:45,160
+ايش خمسة
+
+343
+00:42:45,160 --> 00:42:50,500
+وخلّي المزيد من الوقت نتعامل مع تلاتين وستين خلّي
+
+344
+00:42:50,500 --> 00:42:53,880
+اعتبر هذه هتكون ال sign التلاتين ال sign التلاتين
+
+345
+00:42:53,880 --> 00:42:59,140
+sign
+
+346
+00:43:00,890 --> 00:43:13,030
+التلاتين و cosine التلاتين يعني
+
+347
+00:43:13,030 --> 00:43:22,410
+انا هكون عندي اربعة هقسم عن كساية اربعة F A بتساوي
+
+348
+00:43:22,410 --> 00:43:27,270
+خمسة
+
+349
+00:43:27,270 --> 00:43:37,650
+M Gعلى كسين التلاتين زاد
+
+350
+00:43:37,650 --> 00:43:47,590
+اتنين MA تان التلاتين ماينس
+
+351
+00:43:47,590 --> 00:44:00,230
+خمسة MA ربع
+
+352
+00:44:00,230 --> 00:44:00,830
+صح؟
+
+353
+00:44:05,070 --> 00:44:10,210
+يعني اف ايه هتكون تساوي point
+
+354
+00:44:10,210 --> 00:44:19,870
+اتنين خمسة في خمسة في تمانية في تسعة point تمانية
+
+355
+00:44:19,870 --> 00:44:32,070
+سفر ستة على كساين التلاتين زائد اتنين خلنا نطلع
+
+356
+00:44:32,070 --> 00:44:32,730
+التمانية برا
+
+357
+00:44:38,200 --> 00:44:45,660
+بعد كده نروح في تمانية اياش اتنين اتنين زائد اتنين
+
+358
+00:44:45,660 --> 00:44:52,520
+في تمانية point اربعة تسعة واحد التاني التلاتين
+
+359
+00:44:52,520 --> 00:45:07,040
+minus خمسة في تمانية point اربعة تسعة واحد احداش
+
+360
+00:45:08,080 --> 00:45:15,520
+الـ F A بعدين
+
+361
+00:45:15,520 --> 00:45:21,400
+ماتحسبت ال F A بحكي summation لل forces بتجاه ال X
+
+362
+00:45:21,400 --> 00:45:27,060
+summation لل forces بتجاه ال X اللي هي هاي ال X
+
+363
+00:45:27,060 --> 00:45:30,900
+عندي بالثوام
+
+364
+00:45:30,900 --> 00:45:35,260
+A X يعني انا حاكم عندي F A
+
+365
+00:45:38,760 --> 00:45:48,780
+زاد FD اتجاه
+
+366
+00:45:48,780 --> 00:45:52,300
+ال X عندي
+
+367
+00:45:52,300 --> 00:45:57,740
+هيك كسين التلاتين هيك سين التلاتين minus MG minus
+
+368
+00:45:57,740 --> 00:46:05,880
+MG سين التلاتين بتساوي
+
+369
+00:46:05,880 --> 00:46:07,740
+صفر
+
+370
+00:46:10,010 --> 00:46:16,250
+لأن ال A أكس والساوية صفر لأنها عمودية عليها هو
+
+371
+00:46:16,250 --> 00:46:22,430
+أنا بحسب ال F T بالساوية
+
+372
+00:46:22,430 --> 00:46:29,070
+نص MG minus
+
+373
+00:46:29,070 --> 00:46:39,550
+FA لأنها هتكون نص في تمانيةفي تسعة point تمانية
+
+374
+00:46:39,550 --> 00:46:47,930
+صفر ستة ما نسأل في ايه اللي حسبناه من هذا؟ أكم؟
+
+375
+00:46:47,930 --> 00:46:58,510
+مية و تسعتاش point تمانية تمانية النيوتن هتكون
+
+376
+00:46:58,510 --> 00:47:02,790
+ناقص مية و تسعتاش point تمانية
+
+377
+00:47:09,230 --> 00:47:15,610
+هتطلع بالسالب منطقي جدا لإنه أول ما تنزل هذه هتشد
+
+378
+00:47:15,610 --> 00:47:24,050
+هتشد هنا و تضغط هيك مظبوط؟ معناته هنا هكون تنشر
+
+379
+00:47:24,050 --> 00:47:26,530
+هنا كمونش عشان هيك تطلع هذا بالسالب معناته هتكون
+
+380
+00:47:26,530 --> 00:47:37,190
+link في حالة انضغط أكم تطلع؟ سالب تمانين point
+
+381
+00:47:42,420 --> 00:47:47,340
+النيوتن معناته ال link fd
+
+382
+00:47:47,340 --> 00:47:52,740
+يعني لما انقيتها هنا هتضغط عليها دي هيك و تحاول
+
+383
+00:47:52,740 --> 00:47:59,380
+تسحب يعني هد هتكون شد و هد ضغط هتكون هد بالسالم
+
+384
+00:47:59,380 --> 00:48:02,940
+ماشي أعطيكوا العفو
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Jvs4mPw0Prk.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Jvs4mPw0Prk.srt
new file mode 100644
index 0000000000000000000000000000000000000000..4356d757a59237c7b23d71488439b8d24d617adb
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Jvs4mPw0Prk.srt
@@ -0,0 +1,862 @@
+1
+00:00:05,800 --> 00:00:08,720
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,720 --> 00:00:12,600
+وبركاته هنكمل في مادة الديناميكا chapter تاني
+
+3
+00:00:12,600 --> 00:00:16,440
+لكينماتكس و particles لحتى اللحظة غطينا لنيوتن
+
+4
+00:00:16,440 --> 00:00:21,260
+ساكند submission forces باستخدام M في A حلينا خمس
+
+5
+00:00:21,260 --> 00:00:25,780
+امثلة اليوم هنكرر هنحكي على ال angular momentum of
+
+6
+00:00:25,780 --> 00:00:32,260
+a particle أو نحكي الزخم الزاوي للجسيم. عندي أنا
+
+7
+00:00:32,260 --> 00:00:39,920
+زي ما تشايفين في الشكل عندي محاور إحداثية XYZ عندي
+
+8
+00:00:39,920 --> 00:00:46,220
+المحاور XYZ وفي particle بيمشي على مسار منحني
+
+9
+00:00:46,220 --> 00:00:55,020
+دائما السرعة بتكون مماس للمسار. ال MV اللي هي الزخم
+
+10
+00:00:55,020 --> 00:01:01,470
+الخطي كمية متجهة أم غير متجهة؟ غير متجهة
+
+11
+00:01:01,470 --> 00:01:04,830
+معناته ال direction بتاع ال MV هو نفس ال direction
+
+12
+00:01:04,830 --> 00:01:10,330
+بتاع ال V معناته الزخم الخطي دائما بيكون مماس
+
+13
+00:01:10,330 --> 00:01:16,910
+لمسار الحركة. لأن لو أخدت position vector من مركز
+
+14
+00:01:16,910 --> 00:01:22,410
+الإحداثيات O للموقع ال particle في لحظة معينة P هيكون
+
+15
+00:01:22,410 --> 00:01:30,910
+موقعه R. إذا بأخذ عزم الزخم الخطي حوالي نقطة O هيكون
+
+16
+00:01:30,910 --> 00:01:37,220
+ال cross product R cross MV اللي هو ال moment of
+
+17
+00:01:37,220 --> 00:01:43,560
+momentum اللي هي عزم الزخم الخطي. بسميه ال angular
+
+18
+00:01:43,560 --> 00:01:47,820
+momentum أو moment of momentum اللي هي R cross M V
+
+19
+00:01:47,820 --> 00:01:56,030
+ال H O اللي هو الزخم الزاوي بيكون عمودي على المستوى
+
+20
+00:01:56,030 --> 00:02:05,170
+المكون من R و MV. بيكون عمودي على المستوى طبعا
+
+21
+00:02:05,170 --> 00:02:09,970
+باستخدام ال right hand rule بلف ال R بضربها على ال
+
+22
+00:02:09,970 --> 00:02:14,710
+MV بجيب ال direction باستخدام اليد اليمنى. بلف ال R
+
+23
+00:02:14,710 --> 00:02:20,530
+على ال MV بوجد اتجاه ال HO
+
+24
+00:02:24,500 --> 00:02:32,660
+لو أخدت الحالة 2D عندي particle على مسار منحني
+
+25
+00:02:32,660 --> 00:02:39,420
+الزخم الخطي له MV. بدي أستخدم ال radial and
+
+26
+00:02:39,420 --> 00:02:42,640
+transverse components. يعني عندي هذا اتجاه ال
+
+27
+00:02:42,640 --> 00:02:49,560
+radial direction وهذا اتجاه ال transverse direction
+
+28
+00:02:49,560 --> 00:02:54,520
+معناته ال .. ال .. ال .. ال MV مركبتين. واحدة MV
+
+29
+00:02:54,520 --> 00:03:00,500
+radial واحدة MV θ يعني إحنا حكينا ال HO هي عزم
+
+30
+00:03:00,500 --> 00:03:06,580
+ال MV. ال MV إيه؟ لها مركبتين MVR و MV θ. ال MVR
+
+31
+00:03:06,580 --> 00:03:07,320
+بتعمل عزم
+
+32
+00:03:10,590 --> 00:03:14,930
+لأ، بتمر بالمركز. معناته ال component بتعمل عزم. اللي هي
+
+33
+00:03:14,930 --> 00:03:22,130
+ال mvθ. يعني ال HO هيساوي RMVθ. وال Vθ هي عبارة عن V
+
+34
+00:03:22,130 --> 00:03:29,390
+sin الفي. إحنا لما استخدمنا ال radial و ال transverse
+
+35
+00:03:29,390 --> 00:03:36,330
+coordinates حكينا إن ال R
+
+36
+00:03:36,330 --> 00:03:45,330
+vector بتساوي R في اتجاه ال ER. صح؟ ال V اللي هي
+
+37
+00:03:45,330 --> 00:03:50,250
+مركبتين بتساوي
+
+38
+00:03:50,250 --> 00:04:01,850
+R Dot باتجاه ال ER زائد R θ Dot باتجاه ال E
+
+39
+00:04:01,850 --> 00:04:14,920
+θ. هذه معناته هذه V θ وهذه VR. و
+
+40
+00:04:14,920 --> 00:04:20,300
+ال angular momentum HO بتساوي
+
+41
+00:04:20,300 --> 00:04:31,140
+اللي هي RM V θ. اللي هي RM V θ هي R θ
+
+42
+00:04:31,140 --> 00:04:38,020
+dot يعني هتكون تساوي R square أو M R square θ
+
+43
+00:04:38,020 --> 00:04:38,360
+dot
+
+44
+00:04:42,000 --> 00:04:46,900
+Always بتعبر عن الـ 3D الـ R كـ vector اللي هي
+
+45
+00:04:46,900 --> 00:04:53,920
+ثلاثة components في اتجاه الـ X باتجاه الـ I زائد
+
+46
+00:04:53,920 --> 00:05:01,960
+Y باتجاه الـ J زائد Z باتجاه الـ K. و
+
+47
+00:05:01,960 --> 00:05:15,320
+الـ MV كـ vector اللي هي M في VX باتجاه I زائد VY باتجاه
+
+48
+00:05:15,320 --> 00:05:30,620
+J زائد VZ باتجاه K. لما نيجي نحسب HO = R cross MV هتكون
+
+49
+00:05:30,620 --> 00:05:52,000
+المحدد I J K X Y Z Vx Vy Vz. M يعني
+
+50
+00:05:52,000 --> 00:06:08,400
+هيكون = I في (Y Vz - Z Vy) - J في
+
+51
+00:06:09,830 --> 00:06:32,790
+(X Vz - Z Vx) + K في (X Vy - Y Vx)
+
+52
+00:06:47,020 --> 00:06:52,000
+الآن ال H O كـ
+
+53
+00:06:52,000 --> 00:07:02,780
+vector = R cross M V. لو بدي أحسب ال d(H O)/dt يعني
+
+54
+00:07:02,780 --> 00:07:11,720
+ال d(H O)/dt هنشتق الأول اللي هي dR/
+
+55
+00:07:36,140 --> 00:07:37,540
+d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x d x
+
+56
+00:07:39,580 --> 00:07:45,720
+vzr cross ... المعادلة تغير في كمية الزخم الخطي اللي
+
+57
+00:07:45,720 --> 00:07:54,640
+هي إيش؟ sum of forces. صح؟ عند
+
+58
+00:07:54,640 --> 00:07:59,440
+ال v cross v الزاوية بينهم صفر. ال cross product
+
+59
+00:07:59,440 --> 00:08:03,320
+تبقى مساحة. إذا ال two vectors جايين على بعض
+
+60
+00:08:03,320 --> 00:08:09,900
+مساحتهم = صفر. يعني هذه هتكون = صفر. زائد
+
+61
+00:08:09,900 --> 00:08:15,900
+R X F R
+
+62
+00:08:15,900 --> 00:08:19,400
+X F يمثل summation of moments of all forces مجموع
+
+63
+00:08:19,400 --> 00:08:28,200
+عزم كل القوى. summation of moments حولين O معناته
+
+64
+00:08:28,200 --> 00:08:38,400
+summation of moments حول O بتساوي d(H O)/dt
+
+65
+00:08:40,170 --> 00:08:43,450
+معنى Newton's second law for particles له شقين
+
+66
+00:08:43,450 --> 00:08:52,170
+الشق الأول: summation of forces = M في A
+
+67
+00:08:52,170 --> 00:08:58,650
+والشق الثاني: summation of moments للقوى =
+
+68
+00:08:58,650 --> 00:09:04,710
+dH/dt
+
+69
+00:09:07,360 --> 00:09:19,800
+هذا قانون نيوتن الثاني for a particle. واضح
+
+70
+00:09:19,800 --> 00:09:24,740
+إن مجموع moments about O للقوة المؤثرة على
+
+71
+00:09:24,740 --> 00:09:32,400
+الجسم بيساوي معدل التغير في الزخم الزاوي حول O
+
+72
+00:09:37,480 --> 00:09:43,140
+الانحراف is a motion باستخدام إحداثيات ال polar
+
+73
+00:09:43,140 --> 00:09:47,520
+coordinates القطبية. summation of forces باتجاه ال radial
+
+74
+00:09:47,520 --> 00:09:52,000
+direction = Ma radial. وsummation of forces باتجاه ال
+
+75
+00:09:52,000 --> 00:09:56,600
+transverse direction = Ma θ. وال A
+
+76
+00:09:56,600 --> 00:09:59,100
+radial إحنا عارفين معادلتها اللي هي R double dot
+
+77
+00:09:59,100 --> 00:10:03,460
+ناقص R θ dot تربيع. وال A θ اللي هي R
+
+78
+00:10:03,460 --> 00:10:05,960
+θ double dot زائد اتنين R dot θ dot
+
+79
+00:10:12,070 --> 00:10:16,110
+إذا كانت ال net force القوة المحصلة ومحصّلة القوى
+
+80
+00:10:16,110 --> 00:10:22,220
+المؤثرة على جسم دائما بتمر في مركز الإحداثيات. دائما
+
+81
+00:10:22,220 --> 00:10:27,060
+بتمر في مركز الإحداثيات. المحصلة معناته عزم هذه
+
+82
+00:10:27,060 --> 00:10:32,960
+القوة حول أو إيش بيساوي؟ صفر. مش اللي إحنا قلنا عزم
+
+83
+00:10:32,960 --> 00:10:39,300
+في الحالة بنقول إن ال particle بيتحرك تحت تأثير قوة
+
+84
+00:10:39,300 --> 00:10:44,880
+مركزية. تحت تأثير قوة مركزية. زي حركة الأقمار الصناعية
+
+85
+00:10:44,880 --> 00:10:50,580
+حول الأرض. دائما في force من مركز الأرض لمركز ال
+
+86
+00:10:50,580 --> 00:10:56,200
+satellite. بتشد باتجاه المركز. في
+
+87
+00:10:56,200 --> 00:11:00,860
+الحالة دي عزم ال net force بيساوي zero. معناته
+
+88
+00:11:00,860 --> 00:11:09,770
+summation ال M O بيساوي Zero. بيساوي dHO/dT
+
+89
+00:11:09,770 --> 00:11:12,250
+بيساوي Zero. معناته ال rate of change في ال angular
+
+90
+00:11:12,250 --> 00:11:16,310
+momentum بيساوي Zero. معناته ال angular momentum في
+
+91
+00:11:16,310 --> 00:11:21,450
+الحالة دي HO هيبقى constant
+
+92
+00:11:24,680 --> 00:11:29,100
+معناته في حالة إن كان الجسم تحت تأثير قوة مركزية
+
+93
+00:11:29,100 --> 00:11:33,680
+بيكون عزم القوة المحصلة ده بيساوي صفر. معناته ال
+
+94
+00:11:33,680 --> 00:11:35,560
+rate of change بيكون = صفر
+
+95
+00:11:35,560 --> 00:11:40,480
+معناته ال angular momentum is conserved. بيكون ده
+
+96
+00:11:40,480 --> 00:11:49,400
+conservation لل angular momentum. هنحكي إن
+
+97
+00:11:49,400 --> 00:11:53,200
+قيمة ال HO = RMV
+
+98
+00:12:16,620 --> 00:12:20,720
+ممكن أنا أقسم ال HO على ال M أجيب ال angular
+
+99
+00:12:20,720 --> 00:12:22,300
+momentum per unit mass
+
+100
+00:12:27,110 --> 00:12:35,710
+ندخل على قانون نيوتن الثاني
+
+101
+00:12:35,710 --> 00:12:40,230
+Newton's law of gravitation. إذا
+
+102
+00:12:40,230 --> 00:12:45,510
+عندي جسمين. كتلة واحد منهم M capital والتاني m
+
+103
+00:12:45,510 --> 00:12:52,670
+small. M capital M small. دول جسمين بيكون بينهم قوة
+
+104
+00:12:52,670 --> 00:13:01,460
+جاذبية. كابتل بيجذب m صغير بقوة F. و m صغير بيجذب
+
+105
+00:13:01,460 --> 00:13:06,860
+معاكسة في الاتجاه. متساوية في المقدار. قيمة ال force
+
+106
+00:13:06,860 --> 00:13:12,580
+F هذه = G كابتل في M كابتل m صغير على R
+
+107
+00:13:12,580 --> 00:13:15,520
+تربيع. ده اللي بيسموه Newton's law of gravitation
+
+108
+00:13:16,920 --> 00:13:20,540
+الـ G constant of gravitation بيساوي ستة و ستين
+
+109
+00:13:20,540 --> 00:13:24,720
+بوينت سبعة تلاتة عشرة اس سالب اتناشر متر مكعب لكل
+
+110
+00:13:24,720 --> 00:13:31,200
+كيلوجرام لكل second square. نشوف
+
+111
+00:13:31,200 --> 00:13:31,960
+نحّل مثال
+
+112
+00:13:56,580 --> 00:14:05,340
+Block A of mass M and block B of mass M can slide
+
+113
+00:14:05,340 --> 00:14:10,640
+freely on a frictionless arm OA which rotates in a
+
+114
+00:14:10,640 --> 00:14:16,780
+horizontal plane at a constant rate θ dot. بي
+
+115
+00:14:16,780 --> 00:14:23,660
+is released at a distance RO from O. أنا عندي بلوك A
+
+116
+00:14:23,660 --> 00:14:29,040
+وعندي arm دراع OA وبيلف في المستوى الأفقي. بلف مستوى ...
+
+117
+00:14:29,040 --> 00:14:34,560
+مش مستوى رأسي. بلف في مستوى أفقي حوالي نقطة O على
+
+118
+00:14:34,560 --> 00:14:43,700
+الدراع OA في كتلة اسمها بي كتلتها M فجأة فلتناها لما
+
+119
+00:14:43,700 --> 00:14:49,980
+كانت على بعد مسافة RO. فلتناها من السكون released
+
+120
+00:14:49,980 --> 00:14:56,860
+from rest بالنسبة لل arm طبعا released from rest
+
+121
+00:14:56,860 --> 00:14:57,800
+بالنسبة لل arm
+
+122
+00:15:00,680 --> 00:15:06,600
+express as a function of R the component VR of the
+
+123
+00:15:06,600 --> 00:15:12,700
+velocity of B along OA. عشان
+
+124
+00:15:12,700 --> 00:15:14,740
+أحل المثال ده لازم أعمل free body diagram
+
+125
+00:15:34,590 --> 00:15:38,450
+طب الكتلة أنا جاية على مستوى أفقي. مستوى أفقي
+
+126
+00:15:38,450 --> 00:15:41,990
+الآن
+
+127
+00:15:41,990 --> 00:15:46,430
+ال rod is frictionless. معناه مافيش friction بس في
+
+128
+00:15:46,430 --> 00:15:51,430
+رد فعل من ال rod
+
+129
+00:15:51,430 --> 00:15:57,590
+من ال rod على ال mass. يعني دي هسميها F
+
+130
+00:16:01,640 --> 00:16:09,880
+في فورس تانية اللي هو الوزن بس جايا عمودية. أصفها لجوه
+
+131
+00:16:09,880 --> 00:16:14,860
+بالمساوة
+
+132
+00:16:14,860 --> 00:16:21,280
+عايز
+
+133
+00:16:21,280 --> 00:16:28,380
+الزاوية ثيتا هيكون
+
+134
+00:16:28,380 --> 00:16:29,520
+عندها two components
+
+135
+00:16:33,780 --> 00:16:40,480
+M هذا. O هذا.
+
+136
+00:16:40,480 --> 00:16:48,960
+O في M. A R. عندي
+
+137
+00:16:48,960 --> 00:16:57,040
+M A θ. هذا
+
+138
+00:16:57,040 --> 00:17:01,000
+ال radial direction. هذا
+
+139
+00:17:01,000 --> 00:17:01,280
+ال θ
+
+140
+00:17:19,670 --> 00:17:21,470
+طيب. summation of forces باتجاه ال radial
+
+141
+00:17:21,470 --> 00:17:26,550
+direction. summation of forces باتجاه ال radial
+
+142
+00:17:26,550 --> 00:17:32,170
+direction هتساوي
+
+143
+00:17:32,170 --> 00:17:37,810
+M A R. في
+
+144
+00:17:37,810 --> 00:17:45,290
+forces باتجاه ال radial direction = صفر. معناته
+
+145
+00:17:45,290 --> 00:17:57,320
+ال AR بتساوي صفر. الـ R إيش معادلتها؟ الـ
+
+146
+00:17:57,320 --> 00:18:06,120
+R اللي هي R Double Dot ناقص
+
+147
+00:18:06,120 --> 00:18:11,200
+R θ Dot
+
+148
+00:18:11,200 --> 00:18:15,920
+تربيع. معناته R Double Dot = R
+
+149
+00:18:21,280 --> 00:18:31,240
+θ دوت تربيع. الـ R دوت اللي هي dR/dt
+
+150
+00:18:31,240 --> 00:18:34,720
+الـ R
+
+151
+00:18:34,720 --> 00:18:39,160
+دوت. صح؟ بس
+
+152
+00:18:39,160 --> 00:18:43,420
+R θ دوت تربيع
+
+153
+00:18:46,610 --> 00:18:58,850
+ممكن أعملها كمان بالشكل التاني إن دي d/dt ل R
+
+154
+00:18:58,850 --> 00:19:10,190
+اللي
+
+155
+00:19:10,190 --> 00:19:20,070
+هي ال R. خلينا نعبر عنها VR. صح؟ يعني دي dVR/dt
+
+156
+00:19:20,070 --> 00:19:25,990
+بتساوي
+
+157
+00:19:25,990 --> 00:19:33,850
+R θ دوت تربيع. إذا ضربت المعادلة في dR/dR
+
+158
+00:19:33,850 --> 00:19:43,290
+ما بتغيرش حاجة. لأ حاسس إن ال dVR/
+
+159
+00:19:43,290 --> 00:19:55,890
+dR في dR/dt هيساوي R θ دوت تربيع. هذا شو بيساوي؟
+
+160
+00:19:55,890 --> 00:20:02,250
+VR. فعند VR dVR/
+
+161
+00:20:02,250 --> 00:20:13,830
+هتكون = R θ دوت تربيع dR. لو
+
+162
+00:20:13,830 --> 00:20:14,810
+عملت التكامل
+
+163
+00:20:20,940 --> 00:20:27,340
+هو released from rest بالنسبة لـ R معناته VR
+
+164
+00:20:27,340 --> 00:20:36,000
+إيش بتساوي؟ صفر. يعني هتكون من صفر ل VR وهي من R
+
+165
+00:20:36,000 --> 00:20:44,360
+node لـ R. يعني هتكون VR تربيع
+
+166
+00:20:46,490 --> 00:20:51,270
+بس طبعا θ دوت هو هيكمل بدور الآن ب ... بسرعة
+
+167
+00:20:51,270 --> 00:20:56,870
+زاوية منتظمة. يعني دي θ ودي T. أمشلها ثابتة
+
+168
+00:20:56,870 --> 00:21:10,870
+هتكون = نص θ دوت تربيع في R تربيع من RO ل R. يعني
+
+169
+00:21:10,870 --> 00:21:18,630
+نص ... يعني هتكون = نص θ دوت تربيع في R تربيع
+
+170
+00:21:18,630 --> 00:21:27,850
+ناقص R node تربيع. يعني هتصير عندي VR هتكون =
+
+171
+00:21:27,850 --> 00:21:36,290
+θ دوت الجذر التربيعي ل R تربيع ناقص R
+
+172
+00:21:36,290 --> 00:21:40,310
+node تربيع. كل ده نص هذا ال VR
+
+173
+00:21:50,060 --> 00:21:56,760
+المطلوب الثاني ال magnitude of horizontal force
+
+174
+00:21:56,760 --> 00:22:03,260
+exerted on B by the arm A. يعني بده إيه؟ ال F دي
+
+175
+00:22:03,260 --> 00:22:07,300
+summation لل
+
+176
+00:22:07,300 --> 00:22:19,630
+F θ هيساوي M A θ. يعني هيكون دي F = M
+
+177
+00:22:19,630 --> 00:22:30,570
+A θ. اللي هي R θ double dot زائد اتنين R
+
+178
+00:22:30,570 --> 00:22:33,770
+دوت θ دوت
+
+179
+00:22:46,320 --> 00:22:57,200
+معناته هتساوي M في صفر زائد اتنين R دوت اللي هي
+
+180
+00:22:57,200 --> 00:23:04,040
+VR في
+
+181
+00:23:04,040 --> 00:23:08,880
+θ دوت. يعني هتكون = اتنين M
+
+182
+00:23:11,650 --> 00:23:16,870
+في θ دوت في
+
+183
+00:23:16,870 --> 00:23:25,550
+VR. اللي هي θ دوت الجذر التربيعي ل R تربيع
+
+184
+00:23:25,55
+
+223
+00:28:13,200 --> 00:28:19,380
+تسعين أنت
+
+224
+00:28:19,380 --> 00:28:23,100
+لأ هاي الربع الأول هاي عندي هاي ال MV و هاي ال
+
+225
+00:28:23,100 --> 00:28:25,920
+position هاي ال R برضه تسعين
+
+226
+00:28:29,470 --> 00:28:36,410
+طيب RA شو يساوي؟ RA ال RA اللي هي ال altitude زاد
+
+227
+00:28:36,410 --> 00:28:42,750
+نصف قطر الأرض صح 240 زاد
+
+228
+00:28:42,750 --> 00:28:50,990
+3960 مش
+
+229
+00:28:50,990 --> 00:29:00,620
+أنا كاتب Radius نصف قطر يعني هتكون أربعة آلاف و متين
+
+230
+00:29:00,620 --> 00:29:05,260
+صح؟ ميل
+
+231
+00:29:05,260 --> 00:29:11,500
+و ال Rb هتكون
+
+232
+00:29:11,500 --> 00:29:17,980
+ال altitude and P اللي هو الألفين
+
+233
+00:29:17,980 --> 00:29:24,500
+و ثلاث مئة و أربعين زي
+
+234
+00:29:24,500 --> 00:29:38,070
+ثلاث تلاف تسعمئة و ستين يعني 6300 معناته
+
+235
+00:29:38,070 --> 00:29:45,010
+VB هتكون تساوي VA معطينيها اللي هي 18820 mile per
+
+236
+00:29:45,010 --> 00:29:48,450
+hour 18820
+
+237
+00:29:48,450 --> 00:29:56,890
+في RA اللي هي 4200 على 6000
+
+238
+00:29:59,130 --> 00:30:14,950
+و ثلاث مئة على
+
+239
+00:30:14,950 --> 00:30:24,200
+ثلاث اربعة و عشرين على ثلاثة و عشرين سبعة و عشرين ع
+
+240
+00:30:24,200 --> 00:30:33,520
+سبعة و عشرين تلاتة تمانية و عشرين و ثلاثة تاسعة عشر سهلة يعني
+
+241
+00:30:33,520 --> 00:30:41,660
+تطلع ال VPA ع كام؟ اثنا عشر ألف و خمسمائة و خمسمائة و
+
+242
+00:30:41,660 --> 00:30:45,800
+خمسمائة و خمسمائة و خمسمائة و خمسمائة
+
+243
+00:30:45,800 --> 00:30:48,240
+و خمسمائة و خمسمائة و خمسمائة و خمسمائة و خمسمائة و
+
+244
+00:30:48,240 --> 00:30:49,560
+خمسمائة و خمسمائة و خمسمائة و خمسمائة و خمسمائة و
+
+245
+00:30:49,560 --> 00:30:49,800
+خمسمائة و خمسمائة و خمسمائة و خمسمائة و خمسمائة و
+
+246
+00:30:49,800 --> 00:30:49,900
+خمسمائة و خمسمائة و خمسمائة و خمسمائة و خمسمائة و
+
+247
+00:30:49,900 --> 00:30:51,920
+خمسمائة و
+
+248
+00:30:54,410 --> 00:31:13,450
+ماشي 1549 mile في ربع ساعة
+
+249
+00:31:13,450 --> 00:31:20,650
+أحمد صح في
+
+250
+00:31:20,650 --> 00:31:21,370
+أي سؤال؟
+
+251
+00:31:24,820 --> 00:31:30,840
+طيب الحمد لله خلصنا ال chapter الامتحان هيكون
+
+252
+00:31:30,840 --> 00:31:35,300
+السبت
+
+253
+00:31:35,300 --> 00:31:40,040
+الجاي أعطيكم
+
+254
+00:31:40,040 --> 00:31:40,440
+العافية
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Jvs4mPw0Prk_raw.json b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Jvs4mPw0Prk_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..92ede6c46a66eea5e4de092f985b58405dc65a37
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Jvs4mPw0Prk_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3004, "start": 5.8, "end": 30.04, "text": "بسم الله الرحمن الرحيم السلام عليكم ورحمة الله وبركاته هنكمل في مادة الديناميكا chapter تاني لكينات اكس و particles لحتى اللحظة غطينا لنيوتن ساكنده submission forces بستو M في A حلينا خمس امثلة اليوم هنكرر هنحكي على ال angular momentum of a particle او نحكي الزخم الزاوي للجسيمات", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 8032, 1863, 24793, 1211, 8978, 3714, 18513, 3660, 2423, 16254, 8315, 2304, 1829, 4117, 995, 7187, 6055, 7649, 1829, 5296, 4117, 1829, 8315, 2655, 1975, 4117, 3794, 4032, 10007, 5296, 33753, 7578, 13672, 5016, 19913, 3660, 32771, 9566, 1829, 8315, 5296, 22653, 35473, 1863, 8608, 995, 19452, 3215, 3224, 23689, 5874, 4724, 14851, 2407, 376, 8978, 316, 11331, 20292, 8315, 16490, 2304, 3794, 1975, 2304, 12984, 37977, 45595, 20498, 8032, 1863, 37983, 2288, 8032, 1863, 5016, 4117, 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"probability": 0.62060546875}, {"start": 109.46, "end": 109.88, "word": " O", "probability": 0.87109375}, {"start": 109.88, "end": 111.9, "word": " اللي", "probability": 0.756103515625}, {"start": 111.9, "end": 112.08, "word": " هو", "probability": 0.970703125}, {"start": 112.08, "end": 112.56, "word": " الزخم", "probability": 0.9493408203125}, {"start": 112.56, "end": 113.14, "word": " الزاوي", "probability": 0.8863525390625}], "temperature": 1.0}, {"id": 6, "seek": 14053, "start": 114.17, "end": 140.53, "text": "بكون عمودي على المستوى المكون من R و MV بكون عمودي على المستوى الطبعا باستخدام ال right hand rule بلف ال R بضبها على ال MV بجيب ال direction باستخدام اليد اليمنى بلف ال R على ال MV بوجد اتجاه ال HO", "tokens": [3555, 30544, 6225, 2304, 2407, 16254, 15844, 9673, 14851, 2407, 7578, 9673, 30544, 9154, 497, 4032, 17663, 4724, 30544, 6225, 2304, 2407, 16254, 15844, 9673, 14851, 2407, 7578, 41950, 3555, 3615, 995, 4724, 995, 14851, 9778, 3215, 10943, 2423, 558, 1011, 4978, 4724, 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"seek": 89780, "start": 868.2, "end": 897.8, "text": "بلف مستوى .. مش مستوى الرأس بلف مستوى الأفق حوالي نقطة O على الدراع OA في كتلة عن بي كتلتها M فجأة فلطناها لما كانت على بعد مسافة RO فلطناها من السكون released from wrist بالنسبة للارم طبعا released from wrist بالنسبة للارم", "tokens": [36150, 5172, 3714, 14851, 2407, 7578, 4386, 37893, 3714, 14851, 2407, 7578, 34892, 10721, 3794, 4724, 46538, 3714, 14851, 2407, 7578, 16247, 5172, 4587, 11331, 2407, 6027, 1829, 8717, 47432, 3660, 422, 15844, 32748, 23557, 3615, 48424, 8978, 9122, 2655, 37977, 18871, 4724, 1829, 9122, 2655, 1211, 2655, 11296, 376, 6156, 7435, 10721, 3660, 6156, 1211, 9566, 8315, 11296, 5296, 15042, 25961, 2655, 15844, 39182, 47524, 31845, 3660, 9025, 6156, 1211, 9566, 8315, 11296, 9154, 21136, 30544, 4736, 490, 15043, 20666, 1863, 35457, 3660, 24976, 9640, 2304, 23032, 3555, 3615, 995, 4736, 490, 15043, 20666, 1863, 35457, 3660, 24976, 9640, 2304], "avg_logprob": -0.17585784605905122, "compression_ratio": 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"end": 1848.62, "word": " خمسمية", "probability": 0.9178466796875}, {"start": 1848.62, "end": 1849.28, "word": " و", "probability": 0.74365234375}, {"start": 1849.28, "end": 1849.42, "word": " خمسمية", "probability": 0.921875}, {"start": 1849.42, "end": 1849.42, "word": " و", "probability": 0.77734375}, {"start": 1849.42, "end": 1849.42, "word": " خمسمية", "probability": 0.9271240234375}, {"start": 1849.42, "end": 1849.56, "word": " و", "probability": 0.80078125}, {"start": 1849.56, "end": 1849.56, "word": " خمسمية", "probability": 0.9312744140625}, {"start": 1849.56, "end": 1849.56, "word": " و", "probability": 0.82470703125}, {"start": 1849.56, "end": 1849.56, "word": " خمسمية", "probability": 0.9364013671875}, {"start": 1849.56, "end": 1849.58, "word": " و", "probability": 0.83935546875}, {"start": 1849.58, "end": 1849.58, "word": " خمسمية", "probability": 0.9404296875}, {"start": 1849.58, "end": 1849.64, "word": " و", "probability": 0.8515625}, {"start": 1849.64, "end": 1849.64, "word": " خمسمية", "probability": 0.9437255859375}, {"start": 1849.64, "end": 1849.64, "word": " و", "probability": 0.86767578125}, {"start": 1849.64, "end": 1849.64, "word": " خمسمية", "probability": 0.946044921875}, {"start": 1849.64, "end": 1849.66, "word": " و", "probability": 0.87744140625}, {"start": 1849.66, "end": 1849.8, "word": " خمسمية", "probability": 0.947998046875}, {"start": 1849.8, "end": 1849.8, "word": " و", "probability": 0.89306640625}, {"start": 1849.8, "end": 1849.8, "word": " خمسمية", "probability": 0.950439453125}, {"start": 1849.8, "end": 1849.8, "word": " و", "probability": 0.90625}, {"start": 1849.8, "end": 1849.8, "word": " خمسمية", "probability": 0.9520263671875}, {"start": 1849.8, "end": 1849.8, "word": " و", "probability": 0.91552734375}, {"start": 1849.8, "end": 1849.8, "word": " خمسمية", "probability": 0.951171875}, {"start": 1849.8, "end": 1849.8, "word": " و", "probability": 0.9287109375}, {"start": 1849.8, "end": 1849.8, "word": " خمسمية", "probability": 0.951904296875}, {"start": 1849.8, "end": 1849.8, "word": " و", "probability": 0.935546875}, {"start": 1849.8, "end": 1849.8, "word": " خمسمية", "probability": 0.951171875}, {"start": 1849.8, "end": 1849.8, "word": " و", "probability": 0.94580078125}, {"start": 1849.8, "end": 1849.8, "word": " خمسمية", "probability": 0.950927734375}, {"start": 1849.8, "end": 1849.8, "word": " و", "probability": 0.9560546875}, {"start": 1849.8, "end": 1849.8, "word": " خمسمية", "probability": 0.9503173828125}, {"start": 1849.8, "end": 1849.8, "word": " و", "probability": 0.96435546875}, {"start": 1849.8, "end": 1849.8, "word": " خمسمية", "probability": 0.949462890625}, {"start": 1849.8, "end": 1849.8, "word": " و", "probability": 0.970703125}, {"start": 1849.8, "end": 1849.82, "word": " خمسمية", "probability": 0.94873046875}, {"start": 1849.82, "end": 1849.82, "word": " و", "probability": 0.97509765625}, {"start": 1849.82, "end": 1849.9, "word": " خمسمية", "probability": 0.94970703125}, {"start": 1849.9, "end": 1849.9, "word": " و", "probability": 0.9765625}, {"start": 1849.9, "end": 1850.92, "word": " خمسمية", "probability": 0.9542236328125}, {"start": 1850.92, "end": 1851.92, "word": " و", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 67, "seek": 188137, "start": 1854.41, "end": 1881.37, "text": "ماشي 1549 mile في ربع باكية أحمد صح في اي سؤال؟", "tokens": [2304, 33599, 1829, 2119, 14938, 12620, 8978, 12602, 3555, 3615, 4724, 995, 4117, 10632, 5551, 35571, 3215, 20328, 5016, 8978, 1975, 1829, 8608, 33604, 6027, 22807], "avg_logprob": -0.3961226896003441, "compression_ratio": 0.987012987012987, "no_speech_prob": 0.0, "words": [{"start": 1854.41, "end": 1854.79, "word": "ماشي", "probability": 0.715576171875}, {"start": 1854.79, "end": 1855.55, "word": " 1549", "probability": 0.70703125}, {"start": 1855.55, "end": 1855.93, "word": " mile", "probability": 0.61474609375}, {"start": 1855.93, "end": 1856.91, "word": " في", "probability": 0.469482421875}, {"start": 1856.91, "end": 1857.23, "word": " ربع", "probability": 0.6022135416666666}, {"start": 1857.23, "end": 1873.45, "word": " باكية", "probability": 0.49658203125}, {"start": 1873.45, "end": 1873.73, "word": " أحمد", "probability": 0.8982747395833334}, {"start": 1873.73, "end": 1875.33, "word": " صح", "probability": 0.978515625}, {"start": 1875.33, "end": 1880.65, "word": " في", "probability": 0.67919921875}, {"start": 1880.65, "end": 1880.77, "word": " اي", "probability": 0.7286376953125}, {"start": 1880.77, "end": 1881.37, "word": " سؤال؟", "probability": 0.87548828125}], "temperature": 1.0}, {"id": 68, "seek": 190044, "start": 1884.82, "end": 1900.44, "text": "طيب الحكومة كله خلصنا ال chapter الامتحان هيكون السبت الجاي أعطيكم العافية", "tokens": [9566, 1829, 3555, 21542, 4117, 20498, 3660, 28242, 3224, 16490, 1211, 9381, 8315, 2423, 7187, 2423, 10943, 2655, 5016, 7649, 39896, 30544, 21136, 3555, 2655, 25724, 47302, 5551, 3615, 9566, 1829, 24793, 18863, 31845, 10632], "avg_logprob": -0.2556423594554265, "compression_ratio": 1.2621359223300972, "no_speech_prob": 0.0, "words": [{"start": 1884.82, "end": 1885.14, "word": "طيب", "probability": 0.9807942708333334}, {"start": 1885.14, "end": 1885.44, "word": " الحكومة", "probability": 0.69158935546875}, {"start": 1885.44, "end": 1885.6, "word": " كله", "probability": 0.563232421875}, {"start": 1885.6, "end": 1886.12, "word": " خلصنا", "probability": 0.9857177734375}, {"start": 1886.12, "end": 1886.38, "word": " ال", "probability": 0.78759765625}, {"start": 1886.38, "end": 1886.76, "word": " chapter", "probability": 0.95654296875}, {"start": 1886.76, "end": 1889.3, "word": " الامتحان", "probability": 0.89365234375}, {"start": 1889.3, "end": 1890.84, "word": " هيكون", "probability": 0.9111328125}, {"start": 1890.84, "end": 1895.3, "word": " السبت", "probability": 0.6544596354166666}, {"start": 1895.3, "end": 1895.74, "word": " الجاي", "probability": 0.646728515625}, {"start": 1895.74, "end": 1900.04, "word": " أعطيكم", "probability": 0.712744140625}, {"start": 1900.04, "end": 1900.44, "word": " العافية", "probability": 0.8779296875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 1900.831875, "duration_after_vad": 1684.7662499999942}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/K1lT1mi4qYE.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/K1lT1mi4qYE.srt
new file mode 100644
index 0000000000000000000000000000000000000000..5e7576b3c61572576f307ef803a6bcecff340346
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/K1lT1mi4qYE.srt
@@ -0,0 +1,1550 @@
+1
+00:00:05,090 --> 00:00:07,850
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله و
+
+2
+00:00:07,850 --> 00:00:11,810
+بركاته. هنتكمل في مادة الديناميكا، هنتقل على Chapter
+
+3
+00:00:11,810 --> 00:00:14,690
+جديد اللي هو Planar Motion of Rigid Bodies: Energy
+
+4
+00:00:14,690 --> 00:00:19,910
+and Momentum Methods. Chapter
+
+5
+00:00:19,910 --> 00:00:24,040
+13. حكينا عن الـ Principle of Work and Energy، الـ
+
+6
+00:00:24,040 --> 00:00:28,760
+Principle of Work and Energy تتضمن حل مسائل بتجيب
+
+7
+00:00:28,760 --> 00:00:32,240
+العلاقة بين الـ Displacement والـ Force من خلال
+
+8
+00:00:32,240 --> 00:00:35,200
+اللي هو الـ Principle of Work and Energy، اللي هي T1 +
+
+9
+00:00:35,200 --> 00:00:41,220
+U1→2 = T2. T1 اللي هي الـ Initial Kinetic
+
+10
+00:00:41,220 --> 00:00:47,140
+Energy، U1→2 اللي هو الـ Work Done في المسافة من 1
+
+11
+00:00:47,140 --> 00:00:53,550
+إلى 2. هو T2 الـ Final Kinetic Energy. الـ Principle of
+
+12
+00:00:53,550 --> 00:00:57,090
+Impulse and Momentum. نربط بين الـ Velocities،
+
+13
+00:00:57,090 --> 00:01:02,430
+السرعات والزمن والـ Forces. عندي الشيء اللي عند
+
+14
+00:01:02,430 --> 00:01:07,030
+الـ Linear Momentum 1 + Summation للـ Impulse
+
+15
+00:01:07,030 --> 00:01:12,110
+من 1 إلى 2 بيساوي الـ Linear Momentum 2. أو
+
+16
+00:01:12,110 --> 00:01:16,590
+الـ Angular Momentum 1 + Summation للـ Moment
+
+17
+00:01:16,590 --> 00:01:19,850
+of Impulse من 1 إلى 2 بيساوي الـ Angular
+
+18
+00:01:19,850 --> 00:01:21,050
+Momentum 2.
+
+19
+00:01:25,860 --> 00:01:30,180
+طبعاً نحكي عن الـ Impact، ولذلك نحكي عن موضوع الـ
+
+20
+00:01:30,180 --> 00:01:32,900
+Principle of Impulse and Momentum، والـ Application
+
+21
+00:01:32,900 --> 00:01:37,440
+of Coefficient of Restitution. كيف نستخدم معامل
+
+22
+00:01:37,440 --> 00:01:42,600
+الارتداد بالنسبة
+
+23
+00:01:42,600 --> 00:01:46,880
+للـ Rigid Body. الـ Rigid Body مكون من عدد كبير من الـ
+
+24
+00:01:46,880 --> 00:01:48,900
+Particles.
+
+25
+00:01:50,990 --> 00:01:58,290
+نفس الـ Principle. T1 + U1→2 = T2. T1 و T2 هي الـ
+
+26
+00:01:58,290 --> 00:02:03,110
+Initial والـ Final Total Kinetic Energy لكل الـ
+
+27
+00:02:03,110 --> 00:02:08,750
+Particles المكونة للـ Rigid Body. U1
+
+28
+00:02:08,750 --> 00:02:13,910
+إلى 2 هو الـ Total Work لكل الـ قوى الداخلية والخارجية
+
+29
+00:02:13,910 --> 00:02:18,530
+المؤثرة على الجسيمات المكونة للـ Rigid Body.
+
+30
+00:02:24,090 --> 00:02:28,710
+الحين، ده أنا مبين هنا Rigid
+
+31
+00:02:28,710 --> 00:02:38,990
+Body فيه Two Particles A وB. فيه Internal Force +F عند
+
+32
+00:02:38,990 --> 00:02:45,710
+A، و Internal Force -F عند B. هدول Forces
+
+33
+00:02:45,710 --> 00:02:48,730
+لأنهم قوة داخلية متساوية في المقدار، متضادة
+
+34
+00:02:48,730 --> 00:02:55,330
+في الاتجاهين. الآن، إذا فيه Displacement لنقطة A، و
+
+35
+00:02:55,330 --> 00:03:00,550
+Displacement لنقطة B، لأن الـ Rigid Body، احنا الـ
+
+36
+00:03:00,550 --> 00:03:02,450
+Rigid Body يعني المسافة بين Particle و Particle
+
+37
+00:03:02,450 --> 00:03:03,230
+بتتغيرش.
+
+38
+00:03:05,960 --> 00:03:10,880
+باتجاه الخط الواصل بين A وB، بتساوي في المقدار و
+
+39
+00:03:10,880 --> 00:03:17,580
+بتعاكس في الاتجاه. Displacement A وDisplacement B، واحنا الـ...و
+
+40
+00:03:17,580 --> 00:03:21,980
+الـ Force بتعمل شغل باتجاه الـ Displacement، مظبوط؟
+
+41
+00:03:21,980 --> 00:03:28,560
+باتجاه متعامد مع الـ Displacement، مافيش شغل، صح؟ فـ...و
+
+42
+00:03:28,560 --> 00:03:32,840
+بالتالي، عشان يكون Rigid Body، يعني المسافة بين A وB
+
+43
+00:03:32,840 --> 00:03:35,320
+لازم يكونوا Displaced في نفس الاتجاه، مستوى اللي هو
+
+44
+00:03:35,320 --> 00:03:37,280
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+45
+00:03:37,280 --> 00:03:37,480
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+46
+00:03:37,480 --> 00:03:38,120
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+47
+00:03:38,120 --> 00:03:39,480
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+48
+00:03:39,480 --> 00:03:39,500
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+49
+00:03:39,500 --> 00:03:39,820
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+50
+00:03:39,820 --> 00:03:41,700
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+51
+00:03:41,700 --> 00:03:46,800
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+52
+00:03:46,800 --> 00:03:52,760
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي
+
+53
+00:03:56,810 --> 00:03:59,770
+إذا أخذنا حالة ثانية، عند هذه Particle A و Particle
+
+54
+00:03:59,770 --> 00:04:04,490
+B، فهي عندها قوتين: -F عند A، و +F عند B. هدول
+
+55
+00:04:04,490 --> 00:04:09,710
+بيعملوا ازدواج، لأنهم بينهم مسافة R،
+
+56
+00:04:09,710 --> 00:04:14,950
+ومتساويتين في المقدار، ومتعاكستين في الاتجاه.
+
+57
+00:04:14,950 --> 00:04:18,430
+بيعملوا ازدواج، وقيمة الازدواج F × R.
+
+58
+00:04:25,530 --> 00:04:29,330
+النتيجة، الازدواج هيسوي Rotation بزاوية Δθ.
+
+59
+00:04:29,330 --> 00:04:37,170
+بزاوية إيه؟ هيسوي Rotation بزاوية Δθ.
+
+60
+00:04:37,170 --> 00:04:44,750
+وبالتالي، الـ Work نتيجة الازدواج هيكون العزم أو
+
+61
+00:04:44,750 --> 00:04:48,910
+الازدواج × الزاوية اللي بيلفها. لأن في حالة الـ
+
+62
+00:04:48,910 --> 00:04:57,890
+Linear، الشغل بيساوي الإزاحة × القوة. في
+
+63
+00:04:57,890 --> 00:05:02,650
+حالة الـ Rotation، المكافئ أو المناظر للقوة هو عزم.
+
+64
+00:05:02,650 --> 00:05:06,410
+صح؟ في حالة الـ Rotation، والمناظر للإزاحة في حالة الـ
+
+65
+00:05:06,410 --> 00:05:09,070
+Linear اللي هو في الـ Rotation اللي هو إيش
+
+66
+00:05:09,070 --> 00:05:12,850
+الدوران. إزاي؟ فهيكون عندي الـ Work Due to Couple
+
+67
+00:05:12,850 --> 00:05:22,750
+بيساوي M × Δθ. فيه عندي Forces ممكن تأثر على الجسم وما
+
+68
+00:05:22,750 --> 00:05:31,250
+تعملش شغل. Forces تأثر على الجسم وما تعملش شغل زي
+
+69
+00:05:31,250 --> 00:05:35,290
+الـ Force Applied to Fixed Points. إذا عندي Friction
+
+70
+00:05:35,290 --> 00:05:38,590
+لـ Spin، إذا عندي Body
+
+71
+00:05:57,440 --> 00:06:02,160
+بيدور حوالي نقطة، هذه الـ Pin، هذه Frictionless، يعني
+
+72
+00:06:02,160 --> 00:06:07,400
+مافيش احتكاك، معناته
+
+73
+00:06:07,400 --> 00:06:12,780
+الـ Reaction هنا ما بيعملش
+
+74
+00:06:12,780 --> 00:06:19,090
+شغل، لأن مافيش عنده Friction اللي يستنفذ جزء من
+
+75
+00:06:19,090 --> 00:06:21,830
+الطاقة. الشغل في الآخر، ليهاش طاقة، مافيش Friction
+
+76
+00:06:21,830 --> 00:06:26,670
+بيستنفذ جزء من الطاقة، عادي. فما بيكون الـ Normal Force
+
+77
+00:06:26,670 --> 00:06:31,210
+أو الـ Reactions at Frictionless Pin ما بتعمل شغل.
+
+78
+00:06:31,210 --> 00:06:37,310
+في الـ Forces Acting in a Direction Normal to the
+
+79
+00:06:37,310 --> 00:06:40,650
+Displacement of their Point of Application. يعني
+
+80
+00:06:40,650 --> 00:06:41,390
+إذا عند جسم
+
+81
+00:06:45,500 --> 00:06:49,600
+بيتحرك على Frictionless
+
+82
+00:06:49,600 --> 00:06:59,760
+Surface، بيحكم رد فعل عمودي، صح؟ الـ Force عمودي على
+
+83
+00:06:59,760 --> 00:07:04,960
+الـ Displacement، مش هتعمل شغل. أو إذا جسم عندي ماشي
+
+84
+00:07:04,960 --> 00:07:10,040
+أفقي، وزنه ما بيعملش شغل. إذا ماشي أفقي، وزنه
+
+85
+00:07:10,040 --> 00:07:11,960
+ما بيعملش شغل.
+
+86
+00:07:18,230 --> 00:07:33,230
+الآن، في حالة الـ Rolling، عندي
+
+87
+00:07:33,230 --> 00:07:36,350
+Friction Force. عشان يكون فيه عندي Rolling، لازم يكون
+
+88
+00:07:36,350 --> 00:07:46,330
+الـ F ≤ μs × N، صح؟ فيه Friction
+
+89
+00:07:46,330 --> 00:07:58,990
+معناته، لكن نقطة هذه سرعتها Vc = 0. الشغل
+
+90
+00:07:58,990 --> 00:08:03,110
+النايج من الـ Force الـ Friction هيكون بيساوي F ×
+
+91
+00:08:03,110 --> 00:08:08,330
+الـ Displacement عند C، والـ Displacement عند C عبارة عن
+
+92
+00:08:08,330 --> 00:08:16,790
+السرعة × الزمن. وهاد إيش بيساوي؟ صفر. مع أن هاي
+
+93
+00:08:16,790 --> 00:08:20,610
+فيه Friction، بس الـ Force في حالة Pure Rolling ما
+
+94
+00:08:20,610 --> 00:08:33,890
+بتعمل شغل، لأن سرعة النقطة بيساوي صفر. إذا
+
+95
+00:08:33,890 --> 00:08:37,530
+عندي جسم ماشي
+
+96
+00:08:37,530 --> 00:08:48,590
+بسرعة خطية V، هتكون الكائن كأنه جسم نقطي.
+
+97
+00:08:48,590 --> 00:08:53,450
+طيب.
+
+98
+00:08:53,450 --> 00:09:00,430
+إذا كان الجسم بيدور
+
+99
+00:09:00,430 --> 00:09:06,710
+حوالي مركز ثقله، مركز
+
+100
+00:09:06,710 --> 00:09:14,970
+ثقله سرعته إيش بيساوي؟ صفر. لكن هو بيدور، فيله
+
+101
+00:09:14,970 --> 00:09:24,550
+طاقة حركة. بيدور، بتتحرك. طيب، معناته سرعة مركز الثقل صفر،
+
+102
+00:09:24,550 --> 00:09:27,250
+و إيه لو كانت الـ Energy؟ هتكون قيمة الـ Energy في
+
+103
+00:09:27,250 --> 00:09:35,430
+الحالة هتساوي الـ Kinetic Energy في الـ Rotation، في
+
+104
+00:09:35,430 --> 00:09:45,010
+الـ I × ω²، و السرعة إيش هتكون؟ موجبة. تربيع، إذا كان الجسم
+
+105
+00:09:45,010 --> 00:09:49,250
+مركز
+
+106
+00:09:49,250 --> 00:09:53,230
+ثقله فيه سرعة معينة، وفيه Angular Velocity ω،
+
+107
+00:09:55,870 --> 00:09:58,190
+هيكون الـ Total Kinetic Energy، فيه عندي Kinetic
+
+108
+00:09:58,190 --> 00:10:02,450
+Energy Due to Translation، وفيه Kinetic Energy Due
+
+109
+00:10:02,450 --> 00:10:07,250
+to Rotation. معناته الـ Total Kinetic Energy T هتكون
+
+110
+00:10:07,250 --> 00:10:17,370
+بتساوي ½ MV² + ½ Iω². هذه Due to
+
+111
+00:10:17,370 --> 00:10:21,750
+Rotation، وهذه Due to Translation.
+
+112
+00:10:30,480 --> 00:10:37,860
+يعني، الجزء هذا مرتبط بسرعته، أنه بيتنقل بسرعة خطية.
+
+113
+00:10:37,860 --> 00:10:41,280
+الجزء هذا مرتبط بدوران الجسم حوالين المركز اللي
+
+114
+00:10:41,280 --> 00:10:43,400
+قاله. إذا عندي جسم
+
+115
+00:11:12,710 --> 00:11:25,130
+بيدور، سرعة الزاوية ω، معناته
+
+116
+00:11:25,130 --> 00:11:28,470
+أي Particle، أخدت أي Particle، هتكون سرعة هذه
+
+117
+00:11:28,470 --> 00:11:38,170
+Particle رقم i مثلاً، هتكون سرعتها Vi، وهذه Ri × Vi،
+
+118
+00:11:40,630 --> 00:11:49,850
+بتساوي ωRi. الـ
+
+119
+00:11:49,850 --> 00:11:55,390
+Total Kinetic Energy لكل الجسم، هي مجموعة الـ Kinetic
+
+120
+00:11:55,390 --> 00:12:02,550
+Energies لكل الـ Particles، صح؟ اللي مكونة للجسم.
+
+121
+00:12:02,550 --> 00:12:03,030
+معناته
+
+122
+00:12:05,880 --> 00:12:10,860
+الكائن اللي هنجيبه هيساوي Summation. نفترض أنه أنا مجزأ
+
+123
+00:12:10,860 --> 00:12:20,620
+الـ Particles لكتل صغيرة، هيكون ½ ΔmiVi²،
+
+124
+00:12:20,620 --> 00:12:29,780
+= Summation لـ ½ Δmi، الـ Vi اللي هي
+
+125
+00:12:29,780 --> 00:12:39,970
+عبارة عن ωRi. يعني هيكون ω
+
+126
+00:12:39,970 --> 00:12:44,310
+حتى تطلع برة ω²، لأنه مش مرتبطة بأي منهم. كلهم
+
+127
+00:12:44,310 --> 00:12:55,510
+Summation لـ ½ Δmi × Ri². حدث فعلياً
+
+128
+00:12:55,510 --> 00:12:58,590
+الموضوع
+
+129
+00:12:58,590 --> 00:13:09,120
+بنرجعه حوالين النقطة هذه. يعني هيكون ½ ω²
+
+130
+00:13:09,120 --> 00:13:21,520
+I حوالين الـ O. لأن
+
+131
+00:13:21,520 --> 00:13:26,010
+إذا فيه عندي System مثلاً، مجموعة بكرات أو ترسين، يعني
+
+132
+00:13:26,010 --> 00:13:28,210
+الـ System مكون من أكثر من Rigid Body، يعني لو
+
+133
+00:13:28,210 --> 00:13:32,170
+عندي ترسين Engaged مع بعض، الـ System عبارة عن ترسين
+
+134
+00:13:32,170 --> 00:13:37,730
+أو لو عندي مجموعة بكرات، وفيه مجموعة أجسام، الـ...
+
+135
+00:13:37,730 --> 00:13:43,810
+الـ System مكون من الأجسام زائد البكرات. إذا فيه عندي
+
+136
+00:13:43,810 --> 00:13:48,670
+System of Rigid Bodies مع بعض، ممكن أنا أعمل
+
+137
+00:13:48,670 --> 00:13:51,110
+Application للـ Principle of Work and Energy لكل جسم على
+
+138
+00:13:51,110 --> 00:13:56,790
+حده، أو لكل System مع بعضه، أو لكل System مع بعضه في
+
+139
+00:13:56,790 --> 00:14:03,510
+الحالتين. الـ T1 + U1→2 = T2. الـ T1، T2 اللي
+
+140
+00:14:03,510 --> 00:14:07,310
+هي مجموعة الـ Kinetic Energy لكل...لكل الأجسام
+
+141
+00:14:07,310 --> 00:14:14,220
+المكونة للنظام. الـ U1→2 هو الـ Work للـ Forces المؤثرة
+
+142
+00:14:14,220 --> 00:14:22,080
+على الأجسام، سواء كانت داخلية أو خارجية. في
+
+143
+00:14:22,080 --> 00:14:26,800
+حال، مثال، يتضمن Pin Connected Members، يعني مجموعة
+
+144
+00:14:26,800 --> 00:14:33,860
+بكرات وأجسام وحبال، أو في حالة تروس. لأن فيها
+
+145
+00:14:33,860 --> 00:14:37,220
+هتكون قوة داخلية مثلاً، ترس بين ترس وترس، بينهم
+
+146
+00:14:37,220 --> 00:14:40,990
+Internal Forces. هيكون Internal Force متساوي...
+
+147
+00:14:40,990 --> 00:14:44,370
+متساوي في المقدار، مضاد في الاتجاه. فـ الـ Net Work
+
+148
+00:14:44,370 --> 00:14:48,770
+للـ Net Forces إيش بيساوي؟ صفر. معناته الـ Work
+
+149
+00:14:48,770 --> 00:14:54,690
+Done على النظام هو...يعني بيساوي هو الـ Work Due to
+
+150
+00:14:54,690 --> 00:14:57,810
+External Forces Only. يعني مش هيبين تأثير الـ
+
+151
+00:14:57,810 --> 00:15:00,870
+Internal Forces إلا إذا أخدت الجسم، مسكته، أخدته
+
+152
+00:15:00,870 --> 00:15:04,530
+لحاله، بتبين. لكن لو أخدت كل System مع بعضه، بيصير
+
+153
+00:15:04,530 --> 00:15:06,670
+قوة داخلية، ما بيتبينش.
+
+154
+00:15:16,880 --> 00:15:20,380
+لأ، بيكون الـ Conservation of Energy إذا كانت الـ
+
+155
+00:15:20,380 --> 00:15:25,460
+Forces المؤثرة على الجسم Conservative. يعني إذا فيه
+
+156
+00:15:25,460 --> 00:15:29,680
+Friction، الـ Friction ليس Conservative Force. ليش؟
+
+157
+00:15:29,680 --> 00:15:33,480
+الشغل
+
+158
+00:15:33,480 --> 00:15:37,280
+بتاعها بيعتمد على المسار. الـ...الـ...الوزن
+
+159
+00:15:37,280 --> 00:15:40,720
+Conservative Force ولا Non-Conservative؟ Non-
+
+160
+00:15:40,720 --> 00:15:43,980
+Conservative، أو Conservative، لأنه بيهمني البداية
+
+161
+00:15:43,980 --> 00:15:47,500
+والنهاية، لأن إيش المسار اللي ماشي فيه مش مهم عندي.
+
+162
+00:15:47,500 --> 00:15:51,620
+فإذا كل الـ Forces بتأثر على الـ System Conservative
+
+163
+00:15:51,620 --> 00:15:56,360
+Forces، بيكون ده Conservation of Energy. T1 + V1
+
+164
+00:15:56,360 --> 00:16:06,530
+بيساوي T2 + V2. أنا عندي، مبين عندي Rod متصل بطرفه
+
+165
+00:16:06,530 --> 00:16:12,970
+على جسم B. جسم B بيسلايد في المسار هذا، طرف ثاني في
+
+166
+00:16:12,970 --> 00:16:16,510
+Block، وبييسلايد في المسار هذا. معناته هذه حركة،
+
+167
+00:16:16,510 --> 00:16:21,830
+حركة مقيدة، صح؟ حركة مقيدة. لو...لو بدي أدرس الجسم
+
+168
+00:16:21,830 --> 00:16:22,850
+الـ Rod AB
+
+169
+00:16:51,570 --> 00:17:00,150
+هذا مركز الثقل G، هذا B، هذا A. هنا، بنشوف جسم أفقي
+
+170
+00:17:00,150 --> 00:17:09,270
+اللي عملنا عليه مرجع، Reference، و
+
+171
+00:17:09,270 --> 00:17:14,930
+Released from Rest، يعني هيكون T1 إيش بيساوي؟ صفر.
+
+172
+00:17:14,930 --> 00:17:21,480
+V1، أنا بحكي عن الـ Rod، ما بستخدمش G، أنا بتكلم عن الـ
+
+173
+00:17:21,480 --> 00:17:28,900
+Reference، فالشغل اللي بتعمله صح؟ صفر. طيب،
+
+174
+00:17:28,900 --> 00:17:34,080
+لأن لو سيبته، هيبدأ هذا ينزل لتحت، وهذا هيتحرك للجهة
+
+175
+00:17:34,080 --> 00:17:39,300
+الشمال. بعد شوية، هيصير الوضع الجديد.
+
+176
+00:18:23,300 --> 00:18:29,940
+هذه B، هذه A، هذه G.
+
+177
+00:18:55,500 --> 00:19:07,280
+هذا الـ Reference. هذه الزاوية θ، لأن
+
+178
+00:19:07,280 --> 00:19:15,900
+في المنطقة هذه سرعة الزاوية ω، طبعاً
+
+179
+00:19:15,900 --> 00:19:23,520
+هذا الطول L/2، معناته هذه المسافة، لو خدنا
+
+180
+00:19:23,520 --> 00:19:34,340
+على الجهة الثانية، هذه هتكون L/2 Sin
+
+181
+00:1
+
+223
+00:25:26,650 --> 00:25:34,170
+عشرين واحد على ستة انا هكون واحد على ستة امبير
+
+224
+00:25:34,170 --> 00:25:41,090
+اوميجا سكوير L سكوير هذه بتساوي اثنين الا ان ال V بتساوي اثنين
+
+225
+00:25:41,090 --> 00:25:47,730
+potential energy اثنين هتكون ال negative تحت ال
+
+226
+00:25:47,730 --> 00:25:51,630
+reference هتكون minus MG
+
+227
+00:25:53,580 --> 00:26:02,600
+على اثنين sin θ يتعود هنا واحد زائد V واحد
+
+228
+00:26:02,600 --> 00:26:09,440
+بالساوي T اثنين = T واحد زائد V واحد بالساوي T اثنين
+
+229
+00:26:09,440 --> 00:26:16,300
+زائد V اثنين اللي هي صفر زائد صفر بالساوي اللي هي
+
+230
+00:26:16,300 --> 00:26:17,320
+واحد على ستة
+
+231
+00:26:19,920 --> 00:26:33,060
+m omega square L square minus mg L على اثنين sin
+
+232
+00:26:33,060 --> 00:26:43,400
+θ يعني هتروح عندي M مع M و L مع L
+
+233
+00:26:46,260 --> 00:26:54,000
+وعندي اثنين بيصير ثلاثة مظبوط يعني هتكون ال
+
+234
+00:26:54,000 --> 00:26:58,540
+omega بتساوي
+
+235
+00:26:58,540 --> 00:27:05,300
+ثلاثة ثلاثة
+
+236
+00:27:05,300 --> 00:27:13,900
+جي على ال sin θ
+
+237
+00:27:16,010 --> 00:27:22,570
+تحت الجذر هذا
+
+238
+00:27:22,570 --> 00:27:39,130
+ال omega و منها برضه ال V ال V ال
+
+239
+00:27:39,130 --> 00:27:51,390
+V بالثورة هي L على اثنين اوميجا صح ال Vg يعني هتكون
+
+240
+00:27:51,390 --> 00:27:54,550
+الجذر
+
+241
+00:27:54,550 --> 00:28:02,190
+التربيعي لثلاثة
+
+242
+00:28:02,190 --> 00:28:12,450
+على اربعة LG sin θ هذا
+
+243
+00:28:12,450 --> 00:28:12,950
+ال Vg
+
+244
+00:28:21,080 --> 00:28:25,040
+اللي بتكون maximum لما تكون الزاوية لما تكون
+
+245
+00:28:25,040 --> 00:28:29,580
+تسعين لما تكون sin θ maximum اللي هي function of
+
+246
+00:28:29,580 --> 00:28:41,420
+sin θ طبعا
+
+247
+00:28:41,420 --> 00:28:51,100
+ال sin θ صح
+
+248
+00:28:51,100 --> 00:28:56,900
+90, 180
+
+249
+00:28:56,900 --> 00:29:02,380
+270
+
+250
+00:29:02,380 --> 00:29:05,600
+360
+
+251
+00:29:10,100 --> 00:29:16,520
+هي فعليا تتحرك بين صفر و تسعين صفر و تسعين يعني
+
+252
+00:29:16,520 --> 00:29:21,460
+اعتبرها .. مش هتدخل بالسالب لانها ستطلع لاعلى
+
+253
+00:29:21,460 --> 00:29:33,780
+مستحيل تطلع لاعلى مظبوط ال
+
+254
+00:29:33,780 --> 00:29:40,260
+power أو القدرة هي معدل استهلاكنا للطاقة معدل
+
+255
+00:29:40,260 --> 00:29:49,960
+لاستهلاكنا للطاقة يعني اذا عندي بطارية ممكن بطارية
+
+256
+00:29:49,960 --> 00:29:56,960
+انا افرغها خلال ساعة او افرغها خلال ثانية او خلال
+
+257
+00:29:56,960 --> 00:30:02,120
+دقيقة حسب الجهاز اللي بيسحب بيدخل بيسحب اذا بيسحب
+
+258
+00:30:02,120 --> 00:30:09,280
+بسرعة معناته ايش ال power عالية اذا بيسحب بطيء يعني
+
+259
+00:30:09,280 --> 00:30:15,200
+لو ركب على البطارية شاحن
+
+260
+00:30:15,200 --> 00:30:22,200
+.. شاحن جوال هتطول كتير لانه بيسحب معدل سحبه
+
+261
+00:30:22,200 --> 00:30:28,040
+للطاقة قليل جدا بتاع لو لزم باور قليل لو حطيت
+
+262
+00:30:28,040 --> 00:30:34,410
+سخان الفين وات هيستهلكها بسرعة، هيفضيها فال power
+
+263
+00:30:34,410 --> 00:30:41,910
+هي معدل استهلاكنا لل .. للطاقة في
+
+264
+00:30:41,910 --> 00:30:47,150
+الطاقة الشمسية مثلا البطارية هو جهاز طاقة صح؟
+
+265
+00:30:47,150 --> 00:30:59,190
+بطارية ال .. ال inverter هو جهاز power بيسحب صح
+
+266
+00:30:59,190 --> 00:31:02,910
+بيستهلك طاقة بمعدل معين حسب ال .. ال .. الجهاز اللي
+
+267
+00:31:02,910 --> 00:31:08,670
+بيستهلكه ال
+
+268
+00:31:08,670 --> 00:31:13,110
+power بالثانية هي force في الحركة اذا كان ماشي
+
+269
+00:31:13,110 --> 00:31:20,210
+الجسم حركة خطية او اذا كان rotation بيكون العزم في
+
+270
+00:31:20,210 --> 00:31:23,730
+الحركة الزاوية torque في omega
+
+271
+00:31:29,480 --> 00:31:54,820
+نشوف مثال في
+
+272
+00:31:54,820 --> 00:31:56,480
+عندي ال drum و fly wheel
+
+273
+00:32:02,010 --> 00:32:05,210
+for drum and flywheel اللي احنا شايفينه drum و
+
+274
+00:32:05,210 --> 00:32:12,530
+flywheel ال moment inertia بتاعتها I مش سوى عشرة نص
+
+275
+00:32:12,530 --> 00:32:23,850
+pound قدم ثانية تربيع في
+
+276
+00:32:23,850 --> 00:32:28,750
+friction هنا عند محور الدوران the bearing friction
+
+277
+00:32:28,750 --> 00:32:33,410
+is equivalent to a couple of sixty pound force عند
+
+278
+00:32:33,410 --> 00:32:37,470
+المحور
+
+279
+00:32:37,470 --> 00:32:44,290
+ستين pound قدم
+
+280
+00:32:44,290 --> 00:32:47,990
+at
+
+281
+00:32:47,990 --> 00:32:51,410
+the instant shown في اللحظة اللي احنا شايفينها the
+
+282
+00:32:51,410 --> 00:32:54,590
+block ال block التحت is moving down at six feet
+
+283
+00:32:54,590 --> 00:33:06,460
+per minute اللي هي V للبلوك ستة قدم per
+
+284
+00:33:06,460 --> 00:33:13,400
+second لتحت determine
+
+285
+00:33:13,400 --> 00:33:16,120
+the velocity of the block أوجه سرعة البلوك after
+
+286
+00:33:16,120 --> 00:33:20,560
+it has moved four feet downward أوجه سرعة البلوك
+
+287
+00:33:20,560 --> 00:33:25,560
+بعد ما نزل اربعة قدم يعني Delta Y
+
+288
+00:33:28,260 --> 00:33:51,740
+اربعه قدم لتحت طبعا
+
+289
+00:33:51,740 --> 00:33:54,360
+هستخدم ال principle of work and energy اللي هي T
+
+290
+00:33:54,360 --> 00:33:54,840
+واحد
+
+291
+00:33:58,460 --> 00:34:01,500
+لكل ال system هاخد ال system كامل مع بعض ال block
+
+292
+00:34:01,500 --> 00:34:10,440
+مع ال flywheel T واحد T اثنين بالثانية T
+
+293
+00:34:10,440 --> 00:34:18,500
+اثنين initially
+
+294
+00:34:18,500 --> 00:34:23,640
+الآن ال
+
+295
+00:34:23,640 --> 00:34:30,420
+T بتكون initially كانت كتير هتكون T بتاعة ال flywheel
+
+296
+00:34:30,420 --> 00:34:41,120
+زاد الكانت كتير بتاعة ايه؟ البلوك البلوك
+
+297
+00:34:41,120 --> 00:34:53,980
+حركة حركة خطية صح؟ هتكون نص M بتاعة البلوك في VB
+
+298
+00:35:00,520 --> 00:35:08,740
+تربيع صح؟ زائد ال flywheel بتدور حول مركزها يعني
+
+299
+00:35:08,740 --> 00:35:11,840
+صورة مركز السحر معناته فيه لها rotational kinetic
+
+300
+00:35:11,840 --> 00:35:18,780
+energy زائد نص I بتاعة ال flywheel في ال Omega
+
+301
+00:35:18,780 --> 00:35:24,780
+معناته
+
+302
+00:35:24,780 --> 00:35:29,550
+ال T واحد الان خلينا نوجد علاقة بين ال omega
+
+303
+00:35:29,550 --> 00:35:35,210
+والسرعة
+
+304
+00:35:35,210 --> 00:35:39,830
+بتاعة ال block ال
+
+305
+00:35:39,830 --> 00:35:47,550
+V بتاعة ال block شو الساوي؟ نص القطر اللي هو كام؟
+
+306
+00:35:47,550 --> 00:35:53,930
+واحد و ربع صح؟ واحد و ربع omega بتاعة ال flywheel
+
+307
+00:35:59,580 --> 00:36:13,840
+يعني ال T هتكون نص M block V
+
+308
+00:36:13,840 --> 00:36:22,560
+block تربيع زائد نص ال I بتاعة ال flywheel في ال
+
+309
+00:36:22,560 --> 00:36:26,800
+Omega بتاعة ال flywheel اللي هي في VB
+
+310
+00:36:29,280 --> 00:36:33,440
+على واحد وربع تربيع
+
+311
+00:36:33,440 --> 00:36:38,440
+يعني صح؟
+
+312
+00:36:38,440 --> 00:36:46,620
+معناته T واحد هتكون
+
+313
+00:36:46,620 --> 00:36:50,840
+نص MB VB واحد تربيع زائد نص IF VB واحد على واحد
+
+314
+00:36:50,840 --> 00:36:56,280
+point اثنين و خمسة كل تربيع هتكون نص فيه
+
+315
+00:36:58,000 --> 00:37:05,960
+الكتلة البلوكة كام؟ اعطينيها؟ اثنين واربعين على
+
+316
+00:37:05,960 --> 00:37:13,500
+اثنين و ثلاثين و اثنين من عشرة في ال V بلوك واحد
+
+317
+00:37:13,500 --> 00:37:26,400
+هذا واحد في ستة تربيع زائد نص ال I في عشرة نص
+
+318
+00:37:30,010 --> 00:37:43,290
+في ستة تربيع ستة على واحد وربع الكل
+
+319
+00:37:43,290 --> 00:37:53,850
+تربيع هيحسبنا T واحد لان
+
+320
+00:37:53,850 --> 00:37:54,510
+T اثنين
+
+321
+00:38:01,250 --> 00:38:16,410
+هتكون سواء نص .. كام؟ طيب
+
+322
+00:38:16,410 --> 00:38:24,090
+هتكون نص في اثنين واربعين على اثنين وثلاثين و
+
+323
+00:38:24,090 --> 00:38:25,010
+اثنين من عشرة
+
+324
+00:38:30,200 --> 00:38:39,060
+في VB2 تربيع
+
+325
+00:38:39,060 --> 00:38:48,260
+زائد نص عشرة نص في
+
+326
+00:38:48,260 --> 00:38:52,080
+VB2
+
+327
+00:38:52,080 --> 00:38:59,590
+على واحد ربع الكل تربيع هاطلع كله في دلالة ال V
+
+328
+00:38:59,590 --> 00:39:06,130
+ب اثنين هديتي اثنين طيب
+
+329
+00:39:06,130 --> 00:39:13,110
+U واحد ل اثنين هتكون
+
+330
+00:39:13,110 --> 00:39:19,910
+في U واحد ل اثنين بتاعة ال block صح؟ زائد U واحد
+
+331
+00:39:19,910 --> 00:39:23,030
+ل اثنين عند ال flywheel
+
+332
+00:39:30,620 --> 00:39:36,880
+ال block نزل يعني هيكون positive work صح وزنه
+
+333
+00:39:36,880 --> 00:39:45,620
+بيعمل وزنه اللي هتكون اللي هي اربعة هيكون WB في
+
+334
+00:39:45,620 --> 00:39:55,160
+Delta Y اللي
+
+335
+00:39:55,160 --> 00:40:01,220
+هتكون ال torque فيه torque او moment ستين هذا
+
+336
+00:40:01,220 --> 00:40:12,000
+معاكسة بتعاكسنا هتكون ناقص M في θ ناقص M في
+
+337
+00:40:12,000 --> 00:40:17,860
+θ طيب الان
+
+338
+00:40:17,860 --> 00:40:23,260
+هو نزل اربعة قدم اربعة قدم من اين اجوا مكانهم على
+
+339
+00:40:23,260 --> 00:40:31,030
+البكرة انا عرفت المحيط القوس عارف ال S معناته تبقوا
+
+340
+00:40:31,030 --> 00:40:38,750
+كده احسب ايش ال θ ال θ ايش هتساوي S على R
+
+341
+00:40:38,750 --> 00:40:48,390
+صح ال S اللي هي ايش اربعة على R اللي هي واحد و
+
+342
+00:40:48,390 --> 00:40:53,230
+ربع كام
+
+343
+00:40:53,230 --> 00:40:56,730
+بيطلع ثلاثة
+
+344
+00:40:56,730 --> 00:40:57,270
+point اثنين
+
+345
+00:41:11,920 --> 00:41:18,800
+ثلاثة point اثنين radians معناتها
+
+346
+00:41:18,800 --> 00:41:24,240
+هتكون U واحد ل اثنين بتساوي الوزن عند مائتين و
+
+347
+00:41:24,240 --> 00:41:34,480
+اربعين في اربعة ناقص الموت عند ستين في ثلاثة point
+
+348
+00:41:34,480 --> 00:41:34,920
+اثنين
+
+349
+00:41:41,990 --> 00:41:47,370
+كام؟ سبعمية pound
+
+350
+00:41:47,370 --> 00:42:00,330
+قدم هذا واحد هذا اثنين بنعوض
+
+351
+00:42:00,330 --> 00:42:03,930
+اللي هي T واحد زائد U واحد ل اثنين بالساوي T واحد
+
+352
+00:42:03,930 --> 00:42:05,350
+اللي هي اثنين وخمسة وخمسين
+
+353
+00:42:08,890 --> 00:42:14,330
+.one زائد U واحد ل اثنين سبعمية وثمانية وستين
+
+354
+00:42:14,330 --> 00:42:19,150
+بالساوي T اثنين اللي هي ال account اللي طلعت معاكم
+
+355
+00:42:45,450 --> 00:42:53,190
+حوالي سبعة أو ستة جزئيا سبعة
+
+356
+00:42:53,190 --> 00:42:56,930
+point ثمانية
+
+357
+00:42:56,930 --> 00:43:06,890
+VB اثنين تربيع هتساوى سبعة point صفر ثمانية VB
+
+358
+00:43:06,890 --> 00:43:27,920
+اثنين تربيع قبل ان احسب ال VB2 هكذا
+
+359
+00:43:27,920 --> 00:43:28,440
+بتطلع؟
+
+360
+00:43:45,660 --> 00:43:56,700
+مائتين وثمانين تحت الجذر تطلع سبعة عشر وش ذاك؟
+
+361
+00:43:56,700 --> 00:44:02,740
+كام؟ تسعة عشر؟ يعني مش ميديا، تسعة عشر point كام؟
+
+362
+00:44:16,310 --> 00:44:23,110
+واضح على امور؟
+
+363
+00:44:23,110 --> 00:44:35,210
+طيب
+
+364
+00:44:35,210 --> 00:44:38,350
+ال
+
+365
+00:44:38,350 --> 00:44:43,030
+system احنا عشان مثال ثاني ال system is a trace
+
+366
+00:44:43,030 --> 00:44:49,250
+system كمان عن ترسين a و b كان في حال السكون بعدين
+
+367
+00:44:49,250 --> 00:44:52,390
+حطينا عزم قيمة ستة نيوتن متر على ال gear b يعني
+
+368
+00:44:52,390 --> 00:44:57,950
+gear a و gear b neglecting friction اذا اهملنا
+
+369
+00:44:57,950 --> 00:45:02,970
+الاحتكاك determined the number of revolutions of
+
+370
+00:45:02,970 --> 00:45:09,850
+gear b before its angular velocity reached six
+
+371
+00:45:09,850 --> 00:45:13,810
+hundred rpm يعني نلخص المسألة اول شي
+
+372
+00:45:31,640 --> 00:45:36,240
+الـ system released from rest T واحد بالساوي
+
+373
+00:45:36,240 --> 00:45:41,480
+صفر ماشي T واحد بالساوي صفر خلينا نحكي او
+
+374
+00:45:41,480 --> 00:45:48,800
+الصراعات يعني omega b
+
+375
+00:45:48,800 --> 00:46:01,130
+واحد بالساوي صفر omega لترس a واحد بالساوي صفر و في
+
+376
+00:46:01,130 --> 00:46:09,470
+moment M على B 6 نيوتن متر
+
+377
+00:46:09,470 --> 00:46:16,110
+بدك
+
+378
+00:46:16,110 --> 00:46:19,330
+detail number of revolutions of gear B يعني θ
+
+379
+00:46:19,330 --> 00:46:25,990
+B before
+
+380
+00:46:25,990 --> 00:46:30,650
+its angle reaches 600 rpm يعني لما يصير اوميجا
+
+381
+00:46:30,650 --> 00:46:41,030
+لترس b اثنين بس هو ستمية RPM في اثنين باي على ستين
+
+382
+00:46:41,030 --> 00:46:44,030
+يعني اوميجا b اثنين
+
+383
+00:46:57,180 --> 00:47:05,040
+ستين واحد ستين اثنين وستين وش كام اثنين وستين
+
+384
+00:47:05,040 --> 00:47:14,680
+واحد ثمانية ثلاثة radian per second هاخد
+
+385
+00:47:14,680 --> 00:47:19,980
+الاثنين هاخد system of rigid bodies system of rigid
+
+386
+00:47:19,980 --> 00:47:25,780
+bodies هيكون عندي T واحد زائد
+
+387
+00:47:27,000 --> 00:47:36,500
+U واحد ل اثنين بالساوي T اثنين ممكن
+
+388
+00:47:36,500 --> 00:47:43,520
+احكي اللي هو ال conservation of energy بصير بس هذا
+
+389
+00:47:43,520 --> 00:47:47,000
+marginal يعني بصير الحكي صح مئة بالمئة T واحد
+
+390
+00:47:47,000 --> 00:47:51,380
+حاكي انا بالساوي صفر
+
+391
+00:47:51,380 --> 00:47:57,980
+U واحد ل اثنين طبعا في internal force بين ال ترس
+
+392
+00:47:57,980 --> 00:48:01,840
+a و ترس b متساويين في المقدار متعاكسين في اتجاه
+
+393
+00:48:01,840 --> 00:48:05,680
+يلغوا بعض معناته او ان ال external forces هي اللي
+
+394
+00:48:05,680 --> 00:48:09,860
+بتعمل الشغل يعني اللي بتعمل الشغل فقط اللي هو ال
+
+395
+00:48:09,860 --> 00:48:16,460
+moment هيكون M θ
+
+396
+00:48:16,460 --> 00:48:20,260
+B
+
+397
+00:48:26,900 --> 00:48:32,380
+ام θ b طيب
+
+398
+00:48:32,380 --> 00:48:38,120
+T اثنين بالساوي نص
+
+399
+00:48:38,120 --> 00:48:41,140
+اي
+
+400
+00:48:41,140 --> 00:48:46,460
+ايه لان عنده pure rotation هو المركز في
+
+401
+00:48:46,460 --> 00:48:53,860
+عنده rotation نص Ia omega a تربيع زائد نص
+
+402
+00:48:53,860 --> 00:49:06,560
+Ib omega b تربيع اولش
+
+403
+00:49:06,560 --> 00:49:10,440
+عنده هو معطين ال .. ال mass ل a وال radius
+
+404
+00:49:10,440 --> 00:49:16,560
+suggestion معناته هو ال Ia ايش بتساوي م
+
+405
+00:49:16,560 --> 00:49:26,960
+a Ka تربيع ال Ma اللي هي عشرة في ال K بتاعة ال A
+
+406
+00:49:26,960 --> 00:49:34,480
+اللي هي اثنين point اثنين تربيع يعني point اربعة
+
+407
+00:49:34,480 --> 00:49:46,880
+كيلوجرام متر مربع مظبوط و ال Ib هتكون الكتلة بتاعة
+
+408
+00:49:46,880 --> 00:49:52,320
+B اللي هي ثلاثة في point صفر ثمانية
+
+409
+00:49:55,160 --> 00:49:59,280
+point صفر ثمانية
+
+410
+00:49:59,280 --> 00:50:04,960
+تربيع يعني ثمانية بتمانية اربعة وستين من عشر الاف
+
+411
+00:50:04,960 --> 00:50:08,940
+اربعه وستين بتلاته كام تلاتة في اربعة واتنا عشر تسعة عشر
+
+412
+00:50:08,940 --> 00:50:16,340
+مية واثنين وتسعين point صفر كيلوجرام متر
+
+413
+00:50:16,340 --> 00:50:16,820
+مربع
+
+414
+00:50:23,000
+
+445
+00:54:08,680 --> 00:54:13,640
+هذا على 2π أربعة
+
+446
+00:54:13,640 --> 00:54:16,980
+بون تلاتة خمسة revolutions
+
+447
+00:54:20,960 --> 00:54:24,440
+المطلوب الثاني هو tangential force exerted by gear
+
+448
+00:54:24,440 --> 00:54:38,940
+B on gear A الآن هذه gear B بنيةِ
+
+449
+00:54:38,940 --> 00:54:44,520
+باتجاه عكسه، يعني هو بيعمل force على A بهذا الاتجاه
+
+450
+00:54:44,520 --> 00:54:47,380
+بمعنى أن A يعمل عليه بالعكس
+
+451
+00:54:52,060 --> 00:55:03,260
+F Tangential وفي عنده بالعكس
+
+452
+00:55:03,260 --> 00:55:08,500
+M
+
+453
+00:55:35,730 --> 00:55:41,270
+يعني إحنا حاجة نحكيها بالنسبة لـ B، T واحد زائد U
+
+454
+00:55:41,270 --> 00:55:50,350
+واحد لاثنين بالساوي إيش؟ T اثنين، صح؟ T واحد إيش
+
+455
+00:55:50,350 --> 00:55:54,230
+بالساوي؟ صفر
+
+456
+00:56:01,360 --> 00:56:17,140
+هو T اثنين اللي هي نص I بي أوميجا بي تربيع، و
+
+457
+00:56:17,140 --> 00:56:22,760
+U واحد لاثنين بالساوي
+
+458
+00:56:22,760 --> 00:56:26,040
+M
+
+459
+00:56:26,040 --> 00:56:30,960
+في محاضرة، خلاص، المحاضرة الجاية بنكمل
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/K1lT1mi4qYE_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/K1lT1mi4qYE_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c18a7da48f93fd14228a52536240823ac2e0bbed
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/K1lT1mi4qYE_postprocess.srt
@@ -0,0 +1,1836 @@
+1
+00:00:05,090 --> 00:00:07,850
+بسم الله الرحمن الرحيم السلام عليكم و رحمة الله و
+
+2
+00:00:07,850 --> 00:00:11,810
+بركاته هنتكمل في مادة ال dynamica هنتقل على شبتر
+
+3
+00:00:11,810 --> 00:00:14,690
+جديد اللي هو plan motion of rigid bodies energy
+
+4
+00:00:14,690 --> 00:00:19,910
+and momentum methods شبتر
+
+5
+00:00:19,910 --> 00:00:24,040
+13 حكينا عن ال principle of work and energyال
+
+6
+00:00:24,040 --> 00:00:28,760
+principle of work energy تتضمن حل مسائل بتجيب
+
+7
+00:00:28,760 --> 00:00:32,240
+العلاقة بين ال displacement و ال breast من خلال
+
+8
+00:00:32,240 --> 00:00:35,200
+اللي هو ال principle of work energy اللي هي T1 زاد
+
+9
+00:00:35,200 --> 00:00:41,220
+U1 ل 2 بساوة T2 T1 اللي هي ال initial kinetic
+
+10
+00:00:41,220 --> 00:00:47,140
+energy U1 ل 2 اللي هو ال work done في المسافة من 1
+
+11
+00:00:47,140 --> 00:00:53,550
+ل 2 هو T2 ال final kinetic energyال principle of
+
+12
+00:00:53,550 --> 00:00:57,090
+impulse and momentum نربط بين ال velocities
+
+13
+00:00:57,090 --> 00:01:02,430
+الصراعات والزمن وال forces عند الأول الشي اللي عند
+
+14
+00:01:02,430 --> 00:01:07,030
+ال linear momentum واحد زائد summation لل impulse
+
+15
+00:01:07,030 --> 00:01:12,110
+من واحد لاتنين بيستوى ال linear momentum اتنين او
+
+16
+00:01:12,110 --> 00:01:16,590
+ال angular momentum واحد زائد summation لل moment
+
+17
+00:01:16,590 --> 00:01:19,850
+of impulse من واحد لاتنين بيستوى ال angular
+
+18
+00:01:19,850 --> 00:01:21,050
+momentum اتنين
+
+19
+00:01:25,860 --> 00:01:30,180
+طبعا نحكي عن ال impact و لذا نحكي عن موضوع ال
+
+20
+00:01:30,180 --> 00:01:32,900
+principle of impulse and momentum و ال application
+
+21
+00:01:32,900 --> 00:01:37,440
+of coefficient of restitution كيف نستخدم معامل
+
+22
+00:01:37,440 --> 00:01:42,600
+الارتداد بالنسبة
+
+23
+00:01:42,600 --> 00:01:46,880
+لل rigid body، ال rigid body مكوّمن عدد كبير من ال
+
+24
+00:01:46,880 --> 00:01:48,900
+particles
+
+25
+00:01:50,990 --> 00:01:58,290
+نفس ال principle T1 زي T12 بيساوي T2 T1 و T2 هي ال
+
+26
+00:01:58,290 --> 00:02:03,110
+initial و ال final total kinetic energy لكل ال
+
+27
+00:02:03,110 --> 00:02:08,750
+particles المكونة لل rigid body U1
+
+28
+00:02:08,750 --> 00:02:13,910
+ل 2 هو ال total work لكل الكوه الداخلية و الخارجية
+
+29
+00:02:13,910 --> 00:02:18,530
+المؤثرة على الجثيمات المكونة لل rigid body
+
+30
+00:02:24,090 --> 00:02:28,710
+الحين ده أنا مبين هنا rigid
+
+31
+00:02:28,710 --> 00:02:38,990
+body في two particles A و Bفي internal force بين
+
+32
+00:02:38,990 --> 00:02:45,710
+عند a و internal force minus f عند b هدول forces
+
+33
+00:02:45,710 --> 00:02:48,730
+لإنهم قوة داخلية متساوية في المقدار متضادة
+
+34
+00:02:48,730 --> 00:02:55,330
+بالاتجاهات الآن إذا بيصي displacement لنقطة a و
+
+35
+00:02:55,330 --> 00:03:00,550
+displacement لنقطة b لإن ال rigid body احنا ال
+
+36
+00:03:00,550 --> 00:03:02,450
+rigid body يعني المسافة بين particle و particle
+
+37
+00:03:02,450 --> 00:03:03,230
+بتتغيرش
+
+38
+00:03:05,960 --> 00:03:10,880
+باتجاه الخط الواصل بين a و b بتساو في المقدار و
+
+39
+00:03:10,880 --> 00:03:17,580
+بتعاكس في الاتجاه displaced عن ال b و احنا ال .. و
+
+40
+00:03:17,580 --> 00:03:21,980
+ال force بتعمل شغل باتجاه displacement، مظلوط؟
+
+41
+00:03:21,980 --> 00:03:28,560
+باتجاه المتعمل displacement مافي شغل، صح؟ ف .. و
+
+42
+00:03:28,560 --> 00:03:32,840
+بالتاليعشان يكون rigid body يعني المسافر بين a و b
+
+43
+00:03:32,840 --> 00:03:35,320
+لازم يكون displaced في هذا الاتجاه مستوى اللي هو
+
+44
+00:03:35,320 --> 00:03:37,280
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+45
+00:03:37,280 --> 00:03:37,480
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+46
+00:03:37,480 --> 00:03:38,120
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+47
+00:03:38,120 --> 00:03:39,480
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+48
+00:03:39,480 --> 00:03:39,500
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+49
+00:03:39,500 --> 00:03:39,820
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+50
+00:03:39,820 --> 00:03:41,700
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+51
+00:03:41,700 --> 00:03:46,800
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+52
+00:03:46,800 --> 00:03:52,760
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي
+
+53
+00:03:56,810 --> 00:03:59,770
+إذا أخدنا حالة تانية عند هذه particle A و particle
+
+54
+00:03:59,770 --> 00:04:04,490
+B فهي عندهين force minus F عند A و F عند B هدول
+
+55
+00:04:04,490 --> 00:04:09,710
+بشكل ايش ازدواج بيعمله ازدواج لأنهم بينهم مسافة R
+
+56
+00:04:09,710 --> 00:04:14,950
+و متساويتين في المقدار و متعاكستين في الاتجاه
+
+57
+00:04:14,950 --> 00:04:18,430
+بيعملوا ازدواج و الازدواج القيمة F في R
+
+58
+00:04:25,530 --> 00:04:29,330
+النتيجة الازدواج هصير ال rotation بزاوية D ثتا
+
+59
+00:04:29,330 --> 00:04:37,170
+بزاوية اه هصير ال rotation بزاوية ايه؟ D ثتا
+
+60
+00:04:37,170 --> 00:04:44,750
+وبالتالي ال work نتيجة الازدواج هكون العزم او
+
+61
+00:04:44,750 --> 00:04:48,910
+الازدواج في الزاوية اللي بلفها لان في حالة ال
+
+62
+00:04:48,910 --> 00:04:57,890
+issue ال linear الشغل مش بالساوية اذاحة في قوةفي
+
+63
+00:04:57,890 --> 00:05:02,650
+حالة ال rotation المكافئة او المناظر لل force عزم
+
+64
+00:05:02,650 --> 00:05:06,410
+صح؟ في حالة ال rotation و المناظر للإزاحة في حالة
+
+65
+00:05:06,410 --> 00:05:09,070
+ال linear اللي له في ال rotation اللي هو إيش
+
+66
+00:05:09,070 --> 00:05:12,850
+الدوران إزاى فهيكون عندى ال work due to couple
+
+67
+00:05:12,850 --> 00:05:22,750
+بصوة M D ثتا في عندى forcesممكن تأثر على الجسم وما
+
+68
+00:05:22,750 --> 00:05:31,250
+تعملش شغل forces تأثر على الجسم وما تعملش شغل زي
+
+69
+00:05:31,250 --> 00:05:35,290
+ال force applied to fixed points إذا عندي friction
+
+70
+00:05:35,290 --> 00:05:38,590
+ل ال spin، إذا عندي body
+
+71
+00:05:57,440 --> 00:06:02,160
+بدور حوالي نقطة هذه و ال pen هذه frictionless يعني
+
+72
+00:06:02,160 --> 00:06:07,400
+مافيش احتكاك معناته
+
+73
+00:06:07,400 --> 00:06:12,780
+ال reaction هنا ما بيعمل بيعملش
+
+74
+00:06:12,780 --> 00:06:19,090
+شغللأن مافيش عنده friction اللي يستنفذ جزء من
+
+75
+00:06:19,090 --> 00:06:21,830
+الطاقة الشغل في الآخر ليهاش طاقة مافيش friction
+
+76
+00:06:21,830 --> 00:06:26,670
+يستنفذ جزء من الطاقة عادي فمايكون ال normal force
+
+77
+00:06:26,670 --> 00:06:31,210
+أو ال reactions at frictionless spin ما بتعمل شغل
+
+78
+00:06:31,210 --> 00:06:37,310
+في ال forces acting in a direction normal to the
+
+79
+00:06:37,310 --> 00:06:40,650
+displacement of their point of application يعني
+
+80
+00:06:40,650 --> 00:06:41,390
+إذا عند جسم
+
+81
+00:06:45,500 --> 00:06:49,600
+بتحرك على frictionless
+
+82
+00:06:49,600 --> 00:06:59,760
+surface بيحكم رد فعل عمودي صح ال force عمودي على
+
+83
+00:06:59,760 --> 00:07:04,960
+displacement مش هتعمل شغل أو إذا جسم عندي ماشي
+
+84
+00:07:04,960 --> 00:07:10,040
+أفقي الوزن بتاعه بيعملش شغل إذا ماشي أفقي الوزن
+
+85
+00:07:10,040 --> 00:07:11,960
+بتاعه ما بيعمل شغل
+
+86
+00:07:18,230 --> 00:07:33,230
+الان في حالة ال rolling فاندي
+
+87
+00:07:33,230 --> 00:07:36,350
+friction force عشان يكون في عندي rolling لازم يكون
+
+88
+00:07:36,350 --> 00:07:46,330
+ال F أقل او يساوي ميو اس في ان صح؟ في friction
+
+89
+00:07:46,330 --> 00:07:58,990
+معناتهلكن نقطة هذه سرعتها VC ساوى صفر الشغل
+
+90
+00:07:58,990 --> 00:08:03,110
+الناتجي ال force ال friction هيكون الساوى F ال
+
+91
+00:08:03,110 --> 00:08:08,330
+displacement عن C و ال displacement عن C عبارة عن
+
+92
+00:08:08,330 --> 00:08:16,790
+السرعة في الزمنو هاد ايش بالساوية؟ صفر مع أن هاي
+
+93
+00:08:16,790 --> 00:08:20,610
+في friction بس ال force في حالة pure rolling ما
+
+94
+00:08:20,610 --> 00:08:33,890
+بتعمل شغل لأن مصورة النقطة بالساوية صفر إذا
+
+95
+00:08:33,890 --> 00:08:37,530
+عند جسم ماشي
+
+96
+00:08:37,530 --> 00:08:48,590
+بسرعة خطيةV هتكون الكائنات كأنها رجاله نص
+
+97
+00:08:48,590 --> 00:08:53,450
+طيب
+
+98
+00:08:53,450 --> 00:09:00,430
+إذا كان الجسم بدور
+
+99
+00:09:00,430 --> 00:09:06,710
+حوالي مركز ثقله مركز
+
+100
+00:09:06,710 --> 00:09:14,970
+ثقل تاعه سرعة و ايش الساعة؟ صفرلكن هو بدور فيله
+
+101
+00:09:14,970 --> 00:09:24,550
+طاقة حركة صراحة بتتحرك طب معناته سرعة مركز ثقل صفر
+
+102
+00:09:24,550 --> 00:09:27,250
+و إيه لو كانت ال energy؟ هتكون الكانت ال energy في
+
+103
+00:09:27,250 --> 00:09:35,430
+الحالة هتش تساوي في ال rotation في
+
+104
+00:09:35,430 --> 00:09:45,010
+حتة I و السرعة إيش هتكون؟ومجة تربية، إذا كان الجسم
+
+105
+00:09:45,010 --> 00:09:49,250
+مركز
+
+106
+00:09:49,250 --> 00:09:53,230
+ثقل ويله سرعة معينة وفيه anger ballistic omega
+
+107
+00:09:55,870 --> 00:09:58,190
+هيكون ال total kinetic energy في عندى kinetic
+
+108
+00:09:58,190 --> 00:10:02,450
+energy due to translation وفي kinetic energy due
+
+109
+00:10:02,450 --> 00:10:07,250
+to rotation معناه ال total kinetic energy T هتكون
+
+110
+00:10:07,250 --> 00:10:17,370
+سوى نص M V تربية زاد نص I أمجا تربية هذه due to
+
+111
+00:10:17,370 --> 00:10:21,750
+rotation وهذه due to translation
+
+112
+00:10:30,480 --> 00:10:37,860
+يعني الجزء هذا مرتبط بسرعته أنه بتتنقل بسرعة خطية
+
+113
+00:10:37,860 --> 00:10:41,280
+هذا الجزء مرتبط بدوران الجسم حواليه المركز اللي
+
+114
+00:10:41,280 --> 00:10:43,400
+قاله إذا عند جسم
+
+115
+00:11:12,710 --> 00:11:25,130
+بدور سرعة الزاوية omega معناته
+
+116
+00:11:25,130 --> 00:11:28,470
+اي particle اخدت اي particle هتكون هذه سرعته هذا
+
+117
+00:11:28,470 --> 00:11:38,170
+particle رقم I مثلا هتكون سرعته V I و هذه R I V I
+
+118
+00:11:40,630 --> 00:11:49,850
+بسوة omega ri ال
+
+119
+00:11:49,850 --> 00:11:55,390
+total kinetic energy لكل الجسم مجموعة ال kinetic
+
+120
+00:11:55,390 --> 00:12:02,550
+energies لكل ال particles صح؟ اللي مشكلة للجسم
+
+121
+00:12:02,550 --> 00:12:03,030
+معناته
+
+122
+00:12:05,880 --> 00:12:10,860
+الكائنات اللي نجتبي ساوة سماشن نفترض انه انا مجزق
+
+123
+00:12:10,860 --> 00:12:20,620
+ال particle لكتل صغيرة هيكون نص دلتا M I V I
+
+124
+00:12:20,620 --> 00:12:29,780
+square ساوة سماشن لنص دلتا M I ال V I اللي هي
+
+125
+00:12:29,780 --> 00:12:39,970
+عبارة عن ايش Omega R Iيعني حيكون omega
+
+126
+00:12:39,970 --> 00:12:44,310
+حتى تطلع برا omega square لأنه مش تراكب أهم كلهم
+
+127
+00:12:44,310 --> 00:12:55,510
+summation ل نص delta mi في ri تربيع حدث فعليا
+
+128
+00:12:55,510 --> 00:12:58,590
+الموضوع
+
+129
+00:12:58,590 --> 00:13:09,120
+بنرجح حوالين النقطة هذه يعني حيكوننص omega square
+
+130
+00:13:09,120 --> 00:13:21,520
+I حوالين ال O لإن
+
+131
+00:13:21,520 --> 00:13:26,010
+إذا في عندي system مثلا مجموعة بكرات أو ترسينيعني
+
+132
+00:13:26,010 --> 00:13:28,210
+ال system مكون من أكتر than rigid body، يعني لو
+
+133
+00:13:28,210 --> 00:13:32,170
+عندي ترسين engaged مع بعض ال system عبارة عن ترسين
+
+134
+00:13:32,170 --> 00:13:37,730
+أو لو عندي مجموعة بكرات و فيها مجموعة أجسام ال ..
+
+135
+00:13:37,730 --> 00:13:43,810
+ال system مكون من الأجسام زاداش البكراتفذا في عني
+
+136
+00:13:43,810 --> 00:13:48,670
+system of rigid bodies مع بعض ممكن انا اعمل
+
+137
+00:13:48,670 --> 00:13:51,110
+application لل process of work energy لكل جسم على
+
+138
+00:13:51,110 --> 00:13:56,790
+حده او لكل system مع بعضه او لكل system مع بعضه في
+
+139
+00:13:56,790 --> 00:14:03,510
+الحالتين ال T1 زاد U12 بالساوية T2 ال T1 T2 اللي
+
+140
+00:14:03,510 --> 00:14:07,310
+هي مجموعة ال kinetic energy لكل .. لكل الأجسام
+
+141
+00:14:07,310 --> 00:14:14,220
+المكونة للنظام ال U12 هو ال workلل forces المؤثر
+
+142
+00:14:14,220 --> 00:14:22,080
+على الجسام سواء كانت داخلية او خارجية في
+
+143
+00:14:22,080 --> 00:14:26,800
+حال مثال تتضمن pin connected members يعني مجموعة
+
+144
+00:14:26,800 --> 00:14:33,860
+بكرات و اجسام و حبال او في حالة تروس لان فيها
+
+145
+00:14:33,860 --> 00:14:37,220
+هتكون قوة داخلية مثلا ترس بين ترس و ترس بينه في
+
+146
+00:14:37,220 --> 00:14:40,990
+internal forcesهيكون internal force متساوى ..
+
+147
+00:14:40,990 --> 00:14:44,370
+متساوى في المقدار، مضادة في الاتجاه، ف ال network
+
+148
+00:14:44,370 --> 00:14:48,770
+لل net forces إيش يكون ساوي؟ صفر، معناته ال work
+
+149
+00:14:48,770 --> 00:14:54,690
+done على النظام هو يعني بيصير هو ال work due to
+
+150
+00:14:54,690 --> 00:14:57,810
+external forces only يعني مش هيبين تأثير ال
+
+151
+00:14:57,810 --> 00:15:00,870
+internal forces إلا إذا أخدت الجسم، مسكته، أخدته
+
+152
+00:15:00,870 --> 00:15:04,530
+لحاله، بتبين، لكن لو أخدت كل system مع بعضه، بيصير
+
+153
+00:15:04,530 --> 00:15:06,670
+قوة داخلية ما بيتبين
+
+154
+00:15:16,880 --> 00:15:20,380
+لأ بيكون ال conservation of energy إذا كانت ال
+
+155
+00:15:20,380 --> 00:15:25,460
+forces المؤثرة على الجسم conservative يعني إذا في
+
+156
+00:15:25,460 --> 00:15:29,680
+friction، ال friction is conservative force، ليش؟
+
+157
+00:15:29,680 --> 00:15:33,480
+الشغل
+
+158
+00:15:33,480 --> 00:15:37,280
+بتاعها بيعتمد على المصار، ال .. ال .. الوزن
+
+159
+00:15:37,280 --> 00:15:40,720
+conservative force ولا non conservativenon
+
+160
+00:15:40,720 --> 00:15:43,980
+conservative او a conservative لانه بيهمني البداية
+
+161
+00:15:43,980 --> 00:15:47,500
+و النهاية لان ايش المسار اللي ماشيه مش مهم عندى
+
+162
+00:15:47,500 --> 00:15:51,620
+فإذا كل ال forces بتأثر على ال system conservative
+
+163
+00:15:51,620 --> 00:15:56,360
+forces بيكون دي conservation of energy T1 زاد V1
+
+164
+00:15:56,360 --> 00:16:06,530
+بيستوى T2 زاد V2 انا عندى مبين عندى ردموصول بطرفه
+
+165
+00:16:06,530 --> 00:16:12,970
+على بي جسم بي، بي slide في المصار هذا، طرف تاني في
+
+166
+00:16:12,970 --> 00:16:16,510
+block، ايه slide في المصار هذا، معناته هذه حركة،
+
+167
+00:16:16,510 --> 00:16:21,830
+حركة مقيدة صح؟ حركة مقيدة، لو لو بدي أدرس الجسم
+
+168
+00:16:21,830 --> 00:16:22,850
+الرد AB
+
+169
+00:16:51,570 --> 00:17:00,150
+هذا مركز تقل جي هذا بي هذا ايه؟ هنا شركات جسم أفقه
+
+170
+00:17:00,150 --> 00:17:09,270
+اللي عملت مرجع reference و
+
+171
+00:17:09,270 --> 00:17:14,930
+release from rest يعني هيكون T واحد شو الساعة؟ صفر
+
+172
+00:17:14,930 --> 00:17:21,480
+V واحد انا بحكي عن ردوين ماك استقل جاي اعلن عن ال
+
+173
+00:17:21,480 --> 00:17:28,900
+reference فيش اللي بتفعل صح؟ صفر طيب
+
+174
+00:17:28,900 --> 00:17:34,080
+لان لو سبته هيبدأش هذا ينزل لتحت وهذا هتحرك للجهة
+
+175
+00:17:34,080 --> 00:17:39,300
+الشمال عند بعد شوية هيصير الوضع الجديد
+
+176
+00:18:23,300 --> 00:18:29,940
+هذه B هذه A هذه G
+
+177
+00:18:55,500 --> 00:19:07,280
+هذا ال reference هذا الزاوية theta لأن
+
+178
+00:19:07,280 --> 00:19:15,900
+في المنطقة هذه صورة السرعة omega طبعا
+
+179
+00:19:15,900 --> 00:19:23,520
+هذا الطول ال على اتنين معناته هذه المسافة لو خد
+
+180
+00:19:23,520 --> 00:19:34,340
+على الجهة التانيةهذا هتكون L على 2 Sine
+
+181
+00:19:34,340 --> 00:19:46,120
+theta طيب
+
+182
+00:19:46,120 --> 00:19:51,020
+صورة بي لتحت هاي ال VB
+
+183
+00:19:57,400 --> 00:20:03,420
+و هذه هتكون VA عشان اجيب ال instance center هعمل
+
+184
+00:20:03,420 --> 00:20:15,000
+عمودة على VB و عمودة على VA هذه
+
+185
+00:20:15,000 --> 00:20:21,980
+ال instance center عشان
+
+186
+00:20:21,980 --> 00:20:22,440
+اوجد
+
+187
+00:20:27,270 --> 00:20:34,690
+هتكون سرعة مركز ثقل هي دي صح وجهها هتكون عموديه
+
+188
+00:20:34,690 --> 00:20:40,690
+على ال GC صح
+
+189
+00:20:40,690 --> 00:20:51,970
+هد زوال ثتا و
+
+190
+00:20:51,970 --> 00:20:53,430
+هد المسافة هتكون ايش
+
+191
+00:21:18,230 --> 00:21:31,370
+هذه L Cos θ وهذه المسافة هتكون L على اتنين Cos θ
+
+192
+00:21:50,930 --> 00:22:03,210
+هذا المثلث المثلث هنحكم بي جي سي إذا
+
+193
+00:22:03,210 --> 00:22:15,350
+بتلاحظوا المثلث a c b الزاوية c قائمة معناته لو
+
+194
+00:22:15,350 --> 00:22:21,380
+رسمت دائرة في a و c و b بيكون قطرة الدائرة إيشAB
+
+195
+00:22:21,380 --> 00:22:25,620
+لأن هذه زاوية تسعين درجة صح؟ وهذا تكون على محيط
+
+196
+00:22:25,620 --> 00:22:36,640
+الدائرة معناته ال GC هيساوي ال AG هيساوي ال BG صح؟
+
+197
+00:22:36,640 --> 00:22:41,540
+لو رسم الدائرة تمر في النقاط A وC وB بقدر أرسم
+
+198
+00:22:41,540 --> 00:22:46,480
+دائرة بتلت نقاط المثلث الرسم التالي الدائرة قائم
+
+199
+00:22:46,480 --> 00:22:50,270
+الزاوية معناته هذا يمثل قطر الدائرةو هذا جاء من
+
+200
+00:22:50,270 --> 00:22:55,670
+المحيط لمركأ لنص القطر معناته هذا نص القطر هذا نص
+
+201
+00:22:55,670 --> 00:23:00,770
+القطر معناته ال CG
+
+202
+00:23:00,770 --> 00:23:04,130
+بيستوى
+
+203
+00:23:04,130 --> 00:23:10,670
+اللي هو L على 2 صح؟ لأن هذا بيستوى هذا معناته هذا
+
+204
+00:23:10,670 --> 00:23:16,910
+مثلث بيستوى أساقين معناته هذا بيستوى أكام؟ ثتا
+
+205
+00:23:19,590 --> 00:23:27,050
+معناته ال VG هذا إضافة يعني ال VG VG
+
+206
+00:23:27,050 --> 00:23:34,650
+تعمل رأس زوجة
+
+207
+00:23:34,650 --> 00:23:41,290
+ذاتة
+
+208
+00:23:41,290 --> 00:23:47,730
+الآن
+
+209
+00:23:47,730 --> 00:23:48,710
+T2 ماذا يعني؟
+
+210
+00:23:54,290 --> 00:24:00,110
+ده الرد ده ده نص M
+
+211
+00:24:00,110 --> 00:24:14,550
+VG تربيع زاد نص I IG Omega تربيع صح يعني
+
+212
+00:24:14,550 --> 00:24:19,430
+كنت ساول نص M
+
+213
+00:24:19,430 --> 00:24:22,650
+ال
+
+214
+00:24:22,650 --> 00:24:23,810
+VG هتكون Omega
+
+215
+00:24:26,450 --> 00:24:37,530
+Omega في GC صح؟ Omega في L على 2 كل تربيع زاد نص
+
+216
+00:24:37,530 --> 00:24:46,650
+ال I لرد واحد على اتناش في واحد على اتناش M L
+
+217
+00:24:46,650 --> 00:24:53,310
+تربيع Omega تربيع يعني
+
+218
+00:24:53,310 --> 00:24:54,050
+انا هكون عنده
+
+219
+00:24:56,730 --> 00:25:02,730
+هن ربع زاد واحد اربع وعشرين يعني السبعة على اربع
+
+220
+00:25:02,730 --> 00:25:12,530
+وعشرين بيطلع، صح؟ سبعة على اربع وعشرين، نحن شوية،
+
+221
+00:25:12,530 --> 00:25:22,410
+لأ تمن عندي هن نصف ربع تمن يعني عندي تمن و هن واحد
+
+222
+00:25:22,410 --> 00:25:26,650
+على اربع وعشرينتلاتة زياد واحد اربع على اربع و
+
+223
+00:25:26,650 --> 00:25:34,170
+عشرين واحد على ستة انا هكون واحد على ستة امبر
+
+224
+00:25:34,170 --> 00:25:41,090
+اميجا سكوير L سكوير هذه تتنين الا ان ال V تنين
+
+225
+00:25:41,090 --> 00:25:47,730
+potential energy تنين هتكون ال negative تحت ال
+
+226
+00:25:47,730 --> 00:25:51,630
+reference هتكون minus MG
+
+227
+00:25:53,580 --> 00:26:02,600
+العلى اتنين sin θ يتعود هنا ت واحد زائد V واحد
+
+228
+00:26:02,600 --> 00:26:09,440
+بالساوي T اتنين T واحد زائد V واحد بالساوي T اتنين
+
+229
+00:26:09,440 --> 00:26:16,300
+زائد V اتنين اللي هي صفر زائد صفر بالساوي اللي هي
+
+230
+00:26:16,300 --> 00:26:17,320
+واحد على ستة
+
+231
+00:26:19,920 --> 00:26:33,060
+m omega square L square minus mg L على اتنين sin
+
+232
+00:26:33,060 --> 00:26:43,400
+theta يعني هتروح عندي M مع M و L مع L
+
+233
+00:26:46,260 --> 00:26:54,000
+وعندي اتنين بيصير ردياش تلاتة مظبوط يعني هتكون ال
+
+234
+00:26:54,000 --> 00:26:58,540
+omega بتساوي
+
+235
+00:26:58,540 --> 00:27:05,300
+تلاتة تلاتة
+
+236
+00:27:05,300 --> 00:27:13,900
+جي على ال sign theta
+
+237
+00:27:16,010 --> 00:27:22,570
+تحت الجذر هذا
+
+238
+00:27:22,570 --> 00:27:39,130
+ال omega و منها برضه ال V ال V ال
+
+239
+00:27:39,130 --> 00:27:51,390
+V بالثورة هيL على اتنين فومجة صح ال VG يعني هتكون
+
+240
+00:27:51,390 --> 00:27:54,550
+الجزر
+
+241
+00:27:54,550 --> 00:28:02,190
+التربيعي لتلاتة
+
+242
+00:28:02,190 --> 00:28:12,450
+على أربعة LG sin θ هذا
+
+243
+00:28:12,450 --> 00:28:12,950
+ال VG
+
+244
+00:28:21,080 --> 00:28:25,040
+اللي بتكون maximum لما تكون الزاوية اش لما تكون
+
+245
+00:28:25,040 --> 00:28:29,580
+تسيه لما تكون سان اش maximum اللي هى function of
+
+246
+00:28:29,580 --> 00:28:41,420
+sin theta طبعا
+
+247
+00:28:41,420 --> 00:28:51,100
+ال sinهك ال sign ال theta صح
+
+248
+00:28:51,100 --> 00:28:56,900
+91 180
+
+249
+00:28:56,900 --> 00:29:02,380
+72
+
+250
+00:29:02,380 --> 00:29:05,600
+360
+
+251
+00:29:10,100 --> 00:29:16,520
+هي فعليا تتحرك بين صفر و تسعين صفر و تسعين يعني
+
+252
+00:29:16,520 --> 00:29:21,460
+اعتبرها .. مش هتدخل بالسالب لأنها ستطلع لأعلى
+
+253
+00:29:21,460 --> 00:29:33,780
+مستحيل تطلع لأعلى مظلوط ال
+
+254
+00:29:33,780 --> 00:29:40,260
+power أو القدرةهي معدة لاستهلاكنا للطاقة معدة
+
+255
+00:29:40,260 --> 00:29:49,960
+لاستهلاكنا للطاقة يعني اذا عندى بطارية ممكن بطارية
+
+256
+00:29:49,960 --> 00:29:56,960
+انا افرغها خلال ساعة او افرغها خلال ثانية او خلال
+
+257
+00:29:56,960 --> 00:30:02,120
+دقيقة حسب الجهاز اللى بيسحب يدش بيسحب اذا بيسحب
+
+258
+00:30:02,120 --> 00:30:09,280
+بسرعة مانعته ايش ال power عاليةإذا بيسحب بطيق يعني
+
+259
+00:30:09,280 --> 00:30:15,200
+لو ركب على البطارية شاحن
+
+260
+00:30:15,200 --> 00:30:22,200
+.. شاحن جوال هتطول كتير لإنه بيسحب معدل سحبه
+
+261
+00:30:22,200 --> 00:30:28,040
+للطاقة قليل جدا بتاع لو لزم باوركت قليل لو حطيت
+
+262
+00:30:28,040 --> 00:30:34,410
+سخان ألفين واتهيستحبها بسرعة، هيفضّيها فال power
+
+263
+00:30:34,410 --> 00:30:41,910
+هي معدل استهلاكنا لل .. للطاقة في
+
+264
+00:30:41,910 --> 00:30:47,150
+الطاقة الشمسية مثلا البطارية هو جهاز طاقة صح؟
+
+265
+00:30:47,150 --> 00:30:59,190
+بطارية ال .. ال inverter هو جهاز power بيسحببصحى
+
+266
+00:30:59,190 --> 00:31:02,910
+بياش طاقة بمعدل معين حسب ال .. ال .. الجهاز اللي
+
+267
+00:31:02,910 --> 00:31:08,670
+بيغضيه ال
+
+268
+00:31:08,670 --> 00:31:13,110
+power بالثاول هي force في الصراع اذا كان ماشي
+
+269
+00:31:13,110 --> 00:31:20,210
+الجسم حركة خطية او اذا كان rotation بيكون العزم في
+
+270
+00:31:20,210 --> 00:31:23,730
+ايش في الصراع الزاوية torque في omega
+
+271
+00:31:29,480 --> 00:31:54,820
+نشوف مثال فى
+
+272
+00:31:54,820 --> 00:31:56,480
+عندى ال drum و fly whale
+
+273
+00:32:02,010 --> 00:32:05,210
+for drum and flywheel اللي احنا شايفينه drum و
+
+274
+00:32:05,210 --> 00:32:12,530
+flywheel ال moto inertia بتاعتها I مش سوى عشرة نص
+
+275
+00:32:12,530 --> 00:32:23,850
+pound قدم ثانية تربيع في
+
+276
+00:32:23,850 --> 00:32:28,750
+friction هنا عند محور الدورانthe bearing friction
+
+277
+00:32:28,750 --> 00:32:33,410
+is equivalent to a couple of sixty pound force عند
+
+278
+00:32:33,410 --> 00:32:37,470
+المحور
+
+279
+00:32:37,470 --> 00:32:44,290
+ستين pound قدم
+
+280
+00:32:44,290 --> 00:32:47,990
+at
+
+281
+00:32:47,990 --> 00:32:51,410
+the instant shown في اللحظة اللي احنا شايفينها the
+
+282
+00:32:51,410 --> 00:32:54,590
+block ال block التحت is moving down at six feet
+
+283
+00:32:54,590 --> 00:33:06,460
+per minuteبنسميها اللي هي V للبلوك ستة قدم per
+
+284
+00:33:06,460 --> 00:33:13,400
+second لتحت determine
+
+285
+00:33:13,400 --> 00:33:16,120
+the velocity of the block أوجه سرعة البلوك after
+
+286
+00:33:16,120 --> 00:33:20,560
+it has moved four feet downward أوجه سرعة البلوك
+
+287
+00:33:20,560 --> 00:33:25,560
+بعد ما نزل أربعة قدم يعني Delta Y
+
+288
+00:33:28,260 --> 00:33:51,740
+أربعة قدم لتحت طبعا
+
+289
+00:33:51,740 --> 00:33:54,360
+هستخدم ال principle of work and energy اللي هي T
+
+290
+00:33:54,360 --> 00:33:54,840
+واحد
+
+291
+00:33:58,460 --> 00:34:01,500
+لكل ال system هاخد ال system كامل مع بعض ال block
+
+292
+00:34:01,500 --> 00:34:10,440
+مع ال flywheel ت واحد زي دي واحد لاتنين بالثاوية ت
+
+293
+00:34:10,440 --> 00:34:18,500
+اتنين initially
+
+294
+00:34:18,500 --> 00:34:23,640
+الآن ال
+
+295
+00:34:23,640 --> 00:34:30,420
+T بتكون تثاويةكانت كتير هتكون T بتاعة ال flywheel
+
+296
+00:34:30,420 --> 00:34:41,120
+زاد الكانت كتير بتاعة إيه؟ البلوك البلوك
+
+297
+00:34:41,120 --> 00:34:53,980
+حركة حركة خطية صح؟ هتكون مص M بتاعة البلوك ب في VB
+
+298
+00:35:00,520 --> 00:35:08,740
+تربيع صح؟ زائد ال flywheel بتدور حول مركزها يعني
+
+299
+00:35:08,740 --> 00:35:11,840
+صورة مركز السحر معناته فيه لها rotational kinetic
+
+300
+00:35:11,840 --> 00:35:18,780
+energy زائد نص I بتاعة ال flywheel في ال Omega
+
+301
+00:35:18,780 --> 00:35:24,780
+معناته
+
+302
+00:35:24,780 --> 00:35:29,550
+ال T واحدالان خلينا نوجد علاقة بين ال omega
+
+303
+00:35:29,550 --> 00:35:35,210
+والسرعة
+
+304
+00:35:35,210 --> 00:35:39,830
+بتاعة ال block ال
+
+305
+00:35:39,830 --> 00:35:47,550
+V بتاعة ال block شو الساوي؟ نص القطر اللي هو أكم؟
+
+306
+00:35:47,550 --> 00:35:53,930
+واحد و ربع صح؟ واحد و ربع omega بتاعة ال flywheel
+
+307
+00:35:59,580 --> 00:36:13,840
+يعني ال T هتكون ساعة و نص M block V
+
+308
+00:36:13,840 --> 00:36:22,560
+block تربيع زاد نص ال I بتاعة ال flywheel في ال
+
+309
+00:36:22,560 --> 00:36:26,800
+Omega بتاعة ال flywheel اللي هي في VB
+
+310
+00:36:29,280 --> 00:36:33,440
+على واحد وربع تربيه
+
+311
+00:36:33,440 --> 00:36:38,440
+يعني صح؟
+
+312
+00:36:38,440 --> 00:36:46,620
+معناته T واحد هتكون
+
+313
+00:36:46,620 --> 00:36:50,840
+نص MB VB واحد تربيه زاد نص IF VB واحد على واحد
+
+314
+00:36:50,840 --> 00:36:56,280
+point اتنين و five كل تربيه هتكون نص فيه
+
+315
+00:36:58,000 --> 00:37:05,960
+الماستعة البلوكة كم اعطينيها؟ اتين واربعين على
+
+316
+00:37:05,960 --> 00:37:13,500
+اتنين و تلاتين و اتنين من عشرة في ال V بلوك واحد
+
+317
+00:37:13,500 --> 00:37:26,400
+هادي واحد في ستة تربيع زائد نص ال I في عشرة نص
+
+318
+00:37:30,010 --> 00:37:43,290
+في ستة تربية اق ستة على واحد وربع لكل
+
+319
+00:37:43,290 --> 00:37:53,850
+تربية هيحسبناش T واحد لأن
+
+320
+00:37:53,850 --> 00:37:54,510
+T اتنين
+
+321
+00:38:01,250 --> 00:38:16,410
+هتكون سواء نص .. كم؟ طيب
+
+322
+00:38:16,410 --> 00:38:24,090
+هتكون نص في متين و أربعين على اتنين و تلاتين و
+
+323
+00:38:24,090 --> 00:38:25,010
+اتنين من عشرة
+
+324
+00:38:30,200 --> 00:38:39,060
+في VB2 تربيع
+
+325
+00:38:39,060 --> 00:38:48,260
+زائد نص عشرة نص في
+
+326
+00:38:48,260 --> 00:38:52,080
+VB2
+
+327
+00:38:52,080 --> 00:38:59,590
+على واحد ربع لكل تربيعهأطلع كله في دلالة الاش ال V
+
+328
+00:38:59,590 --> 00:39:06,130
+ب اتنين هاديتين اتنين طيب
+
+329
+00:39:06,130 --> 00:39:13,110
+U واحد لاتنين هتكون
+
+330
+00:39:13,110 --> 00:39:19,910
+في U واحد لاتنين بتاعة ال block صح؟ زاد U واحد
+
+331
+00:39:19,910 --> 00:39:23,030
+لاتنين عند ال flywheel
+
+332
+00:39:30,620 --> 00:39:36,880
+الى block نزل يعني هكون positive work صح وزنه
+
+333
+00:39:36,880 --> 00:39:45,620
+بيعمل وزنه اللى هتكون اللى هى أربعة هكون WB في
+
+334
+00:39:45,620 --> 00:39:55,160
+Delta Y اللى
+
+335
+00:39:55,160 --> 00:40:01,220
+هتكون ال torque فيه torqueاو moment ستين هذه
+
+336
+00:40:01,220 --> 00:40:12,000
+معاكسة بتعاكسنا هتكون ناقص M في ثيتا ناقص M في
+
+337
+00:40:12,000 --> 00:40:17,860
+ثيتا طيب الان
+
+338
+00:40:17,860 --> 00:40:23,260
+هو نزل اربع قدم اربع قدم من اين اجوا مكانهم على
+
+339
+00:40:23,260 --> 00:40:31,030
+البكرة انا عرفت المحيط القوسعارف ال S معناه تبقوا
+
+340
+00:40:31,030 --> 00:40:38,750
+كده أحسب إيش ال theta ال theta إيش هتساوي S على R
+
+341
+00:40:38,750 --> 00:40:48,390
+صح ال S اللي هي إيش أربعة على R اللي هي واحد و
+
+342
+00:40:48,390 --> 00:40:53,230
+ربعة أكام
+
+343
+00:40:53,230 --> 00:40:56,730
+بيطلع تلاتة
+
+344
+00:40:56,730 --> 00:40:57,270
+point اتنين
+
+345
+00:41:11,920 --> 00:41:18,800
+تلاتة point اتنين radians ميارته
+
+346
+00:41:18,800 --> 00:41:24,240
+هتكون U واحد لاتنين بتساوي الوزن عند ميتين و
+
+347
+00:41:24,240 --> 00:41:34,480
+أربعين في أربعة ناقص الموت عند ستين في تلاتة point
+
+348
+00:41:34,480 --> 00:41:34,920
+اتنين
+
+349
+00:41:41,990 --> 00:41:47,370
+كام؟ سبعمية pound
+
+350
+00:41:47,370 --> 00:42:00,330
+قدم هدى واحد هدى اتنين بنعوض
+
+351
+00:42:00,330 --> 00:42:03,930
+اللى هى T واحد زادى واحد اتنين بالستواتين T واحد
+
+352
+00:42:03,930 --> 00:42:05,350
+اللى هى اتنين وخمسة وخمسين
+
+353
+00:42:08,890 --> 00:42:14,330
+.one ازادي واحد لاتنين سبعمية و تمانية و ستين
+
+354
+00:42:14,330 --> 00:42:19,150
+بالساوي T اتنين اللي هي ال account اللي طلعت معاكم
+
+355
+00:42:45,450 --> 00:42:53,190
+أحوالي سبعة أو ستة جزئيك سبعة
+
+356
+00:42:53,190 --> 00:42:56,930
+point تمانية
+
+357
+00:42:56,930 --> 00:43:06,890
+VB اتنين تربيع هتسوى سبعة point سفر تمانية VB
+
+358
+00:43:06,890 --> 00:43:27,920
+اتنين تربيع قبل ان احسبالـ VB2 هكذا
+
+359
+00:43:27,920 --> 00:43:28,440
+بتطلع؟
+
+360
+00:43:45,660 --> 00:43:56,700
+ميتين و تمانين تحت الجزر تطلع سبعتاش وش زي ذاك؟
+
+361
+00:43:56,700 --> 00:44:02,740
+كم؟ تسعتاش؟ يعني مش ميديا، تسعتاش point كم؟
+
+362
+00:44:16,310 --> 00:44:23,110
+واضح على أمور؟
+
+363
+00:44:23,110 --> 00:44:35,210
+طيب
+
+364
+00:44:35,210 --> 00:44:38,350
+ال
+
+365
+00:44:38,350 --> 00:44:43,030
+system احنا عشان مثال تاني ال system is a trace
+
+366
+00:44:43,030 --> 00:44:49,250
+system كمان عن ترسين a و bكان في حال السكون بعدين
+
+367
+00:44:49,250 --> 00:44:52,390
+حطينا عزم قيمة ستة نيوتر متر على ال gear b يعني
+
+368
+00:44:52,390 --> 00:44:57,950
+gear a و gear b neglecting friction اذا أهملنا
+
+369
+00:44:57,950 --> 00:45:02,970
+الاحتكاك determined the number of revolutions of
+
+370
+00:45:02,970 --> 00:45:09,850
+gear b before its angular velocity reached six
+
+371
+00:45:09,850 --> 00:45:13,810
+hundred rpm يعني نلخص المسألة أول شي
+
+372
+00:45:31,640 --> 00:45:36,240
+الـ system مولش released from rest تي واحد بالساوة
+
+373
+00:45:36,240 --> 00:45:41,480
+صفر ماشي تي واحد بالساوة صفر خلينا نحكي او
+
+374
+00:45:41,480 --> 00:45:48,800
+الصراعات يعني omega بي
+
+375
+00:45:48,800 --> 00:46:01,130
+واحد بالساوة صفر omega لترس a واحد بالساوة صفرو فى
+
+376
+00:46:01,130 --> 00:46:09,470
+moment M على B 6 نيوتن متر
+
+377
+00:46:09,470 --> 00:46:16,110
+بدك
+
+378
+00:46:16,110 --> 00:46:19,330
+detail number of revolutions of gear B يعنى theta
+
+379
+00:46:19,330 --> 00:46:25,990
+B before
+
+380
+00:46:25,990 --> 00:46:30,650
+its angle reaches 600 أربع ميعنى لما يصيروميجا
+
+381
+00:46:30,650 --> 00:46:41,030
+لترس باتنين بس هو ستمية RPM في اتنين باي على ستين
+
+382
+00:46:41,030 --> 00:46:44,030
+يعني اوميجا باتنين
+
+383
+00:46:57,180 --> 00:47:05,040
+ستين واحد ستين اتنين وستين و اشى اكم اتنين وستين
+
+384
+00:47:05,040 --> 00:47:14,680
+وواحد تمانية تلاتة radian per second هاخد
+
+385
+00:47:14,680 --> 00:47:19,980
+التنين هاخد system of rigid bodies system of rigid
+
+386
+00:47:19,980 --> 00:47:25,780
+bodies هكون عند ال T واحد زائد
+
+387
+00:47:27,000 --> 00:47:36,500
+يو واحد الاتنين بالساوية تتنين ممكن
+
+388
+00:47:36,500 --> 00:47:43,520
+احكي اللي هو ال conservation of energy بصير بس هذا
+
+389
+00:47:43,520 --> 00:47:47,000
+marginal يعني بصير التحكي صح مية بالمية تي واحدش
+
+390
+00:47:47,000 --> 00:47:51,380
+حاكي انا بالساوية سفر
+
+391
+00:47:51,380 --> 00:47:57,980
+يو واحدالاتنين طبعا في internal force بين ال terce
+
+392
+00:47:57,980 --> 00:48:01,840
+a و terce b متسوين في المقدار متعكسين في اتجاه
+
+393
+00:48:01,840 --> 00:48:05,680
+بلغوا بعض معناته او ان ال external forces هي اللي
+
+394
+00:48:05,680 --> 00:48:09,860
+بتعمل الشغل يعني اللي بتعمل الشغل فقط اللي هو ال
+
+395
+00:48:09,860 --> 00:48:16,460
+moment هيكون M θ
+
+396
+00:48:16,460 --> 00:48:20,260
+B
+
+397
+00:48:26,900 --> 00:48:32,380
+ام ثيتا بى طيب
+
+398
+00:48:32,380 --> 00:48:38,120
+تتنيناش الساوية نص
+
+399
+00:48:38,120 --> 00:48:41,140
+اي
+
+400
+00:48:41,140 --> 00:48:46,460
+ايه لان عنده pure rotation هو المركز استقله بس في
+
+401
+00:48:46,460 --> 00:48:53,860
+عنده rotation نص اي ايه اوميجا ايه تربيع زائد نص
+
+402
+00:48:53,860 --> 00:49:06,560
+اي بىomega b تربيع اولش
+
+403
+00:49:06,560 --> 00:49:10,440
+عنده هو معطين ال .. ال mass ل a وال read
+
+404
+00:49:10,440 --> 00:49:16,560
+suggestion المعنى هو ال IA ايش بتساوي م
+
+405
+00:49:16,560 --> 00:49:26,960
+ا ك ا تربيع ال MA اللي هي عشرةفي ال K بتاعة ال A
+
+406
+00:49:26,960 --> 00:49:34,480
+اللي هي متين point اتنين تربيع يعني point اربع
+
+407
+00:49:34,480 --> 00:49:46,880
+kilogram متر مربع مظبوط وال I B هتكون الكتلة بتاعة
+
+408
+00:49:46,880 --> 00:49:52,320
+B اللي هي تلاتة في point O تمانية
+
+409
+00:49:55,160 --> 00:49:59,280
+point o تمانية
+
+410
+00:49:59,280 --> 00:50:04,960
+تربع يعني تمانية بتمانية باربع و ستين من عشر تلاف
+
+411
+00:50:04,960 --> 00:50:08,940
+اربع و ستين بتلاتة اكم تلاتة باربع و اتناش تسعتاش
+
+412
+00:50:08,940 --> 00:50:16,340
+مية و اتنين و تسعين صفر point صفر kilogram متر
+
+413
+00:50:16,340 --> 00:50:16,820
+مربع
+
+414
+00:50:23,000 --> 00:50:28,700
+طيب في علاقة بين Omega A و Omega B Omega A في R A
+
+415
+00:50:28,700 --> 00:50:36,620
+بيساوي Omega B في R B معناته Omega A بتساوي
+
+416
+00:50:36,620 --> 00:50:48,000
+Omega B في R B على R A صح؟ يعني Omega B اللي هي
+
+417
+00:50:48,000 --> 00:50:50,460
+اتنين و ستة خليها بالرموز حاليا
+
+418
+00:50:54,160 --> 00:50:58,820
+ر بي اللي هو ر
+
+419
+00:50:58,820 --> 00:51:05,660
+بي اللي هو مية ع متين و خمسين يعني هتكون مية ع
+
+420
+00:51:05,660 --> 00:51:14,680
+متين و خمسين omega بي يعني السفر مع السفر أربعة من
+
+421
+00:51:14,680 --> 00:51:20,400
+عشرة صح يعني انا هكون عشرة خمسة اتنين اربعة من
+
+422
+00:51:20,400 --> 00:51:29,510
+عشرةوميجا بى معناته
+
+423
+00:51:29,510 --> 00:51:39,170
+T2 T2
+
+424
+00:51:39,170 --> 00:51:42,210
+هتكون
+
+425
+00:51:42,210 --> 00:51:43,510
+تستوى نص
+
+426
+00:51:52,100 --> 00:51:57,500
+I a اللي هو أربعة من عشرة في
+
+427
+00:51:57,500 --> 00:52:01,240
+omega
+
+428
+00:52:01,240 --> 00:52:12,380
+a تربيع اللي هتكون point واحد ستة هربعها دي صح؟
+
+429
+00:52:12,380 --> 00:52:18,140
+تربيع في omega b تربيع زائد
+
+430
+00:52:18,140 --> 00:52:28,620
+I b اللي هيبونت او واحد تسعة اتنين في
+
+431
+00:52:28,620 --> 00:52:34,560
+اميجا بي تربيع اللي اميجا بي اللي هي اتنين وستين
+
+432
+00:52:34,560 --> 00:52:46,020
+بونت تمانية تلاتة تربيع عاديتي اتنين
+
+433
+00:52:46,020 --> 00:52:52,080
+اكم
+
+434
+00:52:53,260 --> 00:53:07,980
+164.2 164.2 هذي
+
+435
+00:53:07,980 --> 00:53:16,980
+U واحدة اتنين ال M عندى اكم ستة تاتا بيه صح معناه
+
+436
+00:53:16,980 --> 00:53:19,900
+انتحار نعوض T واحد زي واحد اتنين بسوات اتنين T
+
+437
+00:53:19,900 --> 00:53:27,740
+واحد اللى هى صفرزاد يوحدة اتنين اللي هي ستة ثتاب
+
+438
+00:53:27,740 --> 00:53:31,400
+بالساوية
+
+439
+00:53:31,400 --> 00:53:36,920
+تتنين اللي هي مية اربعة ستين point اتنين يعني ثتاب
+
+440
+00:53:36,920 --> 00:53:40,240
+هتكون
+
+441
+00:53:40,240 --> 00:53:50,380
+تساوي سبع
+
+442
+00:53:50,380 --> 00:53:50,860
+عشرين
+
+443
+00:53:57,400 --> 00:54:01,140
+Radians علشان احوله ل revolution ال revolution انا
+
+444
+00:54:01,140 --> 00:54:08,680
+اكلمه Radian 2π يعني اقسم هذا على 2π يعني θ ب اقسم
+
+445
+00:54:08,680 --> 00:54:13,640
+هذا على 2π اربع
+
+446
+00:54:13,640 --> 00:54:16,980
+بون تلاتة خمسة revolutions
+
+447
+00:54:20,960 --> 00:54:24,440
+المطلوب التاني هو tangential force exerted by gear
+
+448
+00:54:24,440 --> 00:54:38,940
+B on gear A الآن هاي gear B بنيف
+
+449
+00:54:38,940 --> 00:54:44,520
+باتجاه عكسه يعني هو بيعمل force على A بهذا الاتجاه
+
+450
+00:54:44,520 --> 00:54:47,380
+بمعناته A بيعمل عليه بالعكس
+
+451
+00:54:52,060 --> 00:55:03,260
+F Tingential وفي عنده بالعكس
+
+452
+00:55:03,260 --> 00:55:08,500
+M
+
+453
+00:55:35,730 --> 00:55:41,270
+يعني احنا حاجة احكيها بالنسبة ل B T واحد زاد U
+
+454
+00:55:41,270 --> 00:55:50,350
+واحد لاتنين بالساوي ايش؟ T اتنين صح؟ T واحد ايش
+
+455
+00:55:50,350 --> 00:55:54,230
+بالساوي؟ صفر
+
+456
+00:56:01,360 --> 00:56:17,140
+هو T اتنين اللي هي نص I بي أمجا بي نين تربيع و
+
+457
+00:56:17,140 --> 00:56:22,760
+U واحد لا اتنين بالساوي
+
+458
+00:56:22,760 --> 00:56:26,040
+M
+
+459
+00:56:26,040 --> 00:56:30,960
+في محاضرةخلاص المحاضرة الجاي بينكمل
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/K1lT1mi4qYE_raw.json b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/K1lT1mi4qYE_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..91e9585f1092e9f8cab4029673dc55c11bf73776
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/K1lT1mi4qYE_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2261, "start": 5.09, "end": 22.61, "text": "بسم الله الرحمن الرحيم السلام عليكم و رحمة الله و بركاته هنتكمل في مادة ال dynamica هنتقل على شبتر جديد اللي هو plan motion of rigid bodies energy and momentum methods شبتر 13 حكينا عن ال principle of work and energy", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 12602, 35571, 3660, 21984, 4032, 4724, 31747, 9307, 3224, 8032, 29399, 24793, 1211, 8978, 3714, 18513, 3660, 2423, 5999, 2262, 8032, 29399, 4587, 1211, 15844, 13412, 3555, 2655, 2288, 10874, 16254, 3215, 13672, 1829, 31439, 1393, 5394, 295, 22195, 7510, 2281, 293, 11244, 7150, 13412, 3555, 2655, 2288, 3705, 11331, 4117, 1829, 8315, 18871, 2423, 8665, 295, 589, 293, 2281], "avg_logprob": -0.17927082618077597, "compression_ratio": 1.5245098039215685, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 5.09, "end": 5.43, "word": "بسم", "probability": 0.844482421875}, {"start": 5.43, 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1161.06, "word": " المسافة", "probability": 0.9871826171875}, {"start": 1161.06, "end": 1163.34, "word": " لو", "probability": 0.54345703125}, {"start": 1163.34, "end": 1163.52, "word": " خد", "probability": 0.830810546875}, {"start": 1163.52, "end": 1164.08, "word": " على", "probability": 0.1839599609375}, {"start": 1164.08, "end": 1164.32, "word": " الجهة", "probability": 0.9138997395833334}, {"start": 1164.32, "end": 1164.72, "word": " التانية", "probability": 0.9812825520833334}], "temperature": 1.0}, {"id": 41, "seek": 119102, "start": 1166.5, "end": 1191.02, "text": "هذا هتكون L على 2 Sine theta طيب صورة بي لتحت هاي ال VB", "tokens": [3224, 15730, 8032, 2655, 30544, 441, 15844, 568, 318, 533, 9725, 23032, 1829, 3555, 20328, 13063, 3660, 4724, 1829, 5296, 2655, 33753, 8032, 47302, 2423, 691, 33], "avg_logprob": -0.39648438564368654, "compression_ratio": 0.9230769230769231, "no_speech_prob": 0.0, "words": [{"start": 1166.5, "end": 1166.82, "word": "هذا", "probability": 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0.783203125}, {"start": 1190.68, "end": 1191.02, "word": " VB", "probability": 0.672119140625}], "temperature": 1.0}, {"id": 42, "seek": 122244, "start": 1197.4, "end": 1222.44, "text": "و هذه هتكون VA عشان اجيب ال instance center هعمل عمودة على VB و عمودة على VA هذه ال instance center عشان اوجد", "tokens": [2407, 29538, 8032, 2655, 30544, 18527, 6225, 8592, 7649, 1975, 7435, 1829, 3555, 2423, 5197, 3056, 8032, 25957, 1211, 6225, 2304, 23328, 3660, 15844, 691, 33, 4032, 6225, 2304, 23328, 3660, 15844, 18527, 29538, 2423, 5197, 3056, 6225, 8592, 7649, 1975, 29245, 3215], "avg_logprob": -0.19602273336865686, "compression_ratio": 1.5, "no_speech_prob": 0.0, "words": [{"start": 1197.4, "end": 1197.62, "word": "و", "probability": 0.85205078125}, {"start": 1197.62, "end": 1197.88, "word": " هذه", "probability": 0.396240234375}, {"start": 1197.88, "end": 1198.36, "word": " هتكون", "probability": 0.82421875}, {"start": 1198.36, "end": 1200.88, "word": " VA", "probability": 0.70361328125}, {"start": 1200.88, "end": 1202.14, "word": " عشان", "probability": 0.9576822916666666}, {"start": 1202.14, "end": 1202.36, "word": " اجيب", "probability": 0.7684326171875}, {"start": 1202.36, "end": 1202.48, "word": " ال", "probability": 0.955078125}, {"start": 1202.48, "end": 1202.78, "word": " instance", "probability": 0.744140625}, {"start": 1202.78, "end": 1203.1, "word": " center", "probability": 0.80712890625}, {"start": 1203.1, "end": 1203.42, "word": " هعمل", "probability": 0.9768880208333334}, {"start": 1203.42, "end": 1203.72, "word": " عمودة", "probability": 0.8406982421875}, {"start": 1203.72, "end": 1203.8, "word": " على", "probability": 0.78662109375}, {"start": 1203.8, "end": 1204.22, "word": " VB", "probability": 0.694580078125}, {"start": 1204.22, "end": 1205.28, "word": " و", "probability": 0.6865234375}, {"start": 1205.28, "end": 1205.62, "word": " عمودة", "probability": 0.8978271484375}, {"start": 1205.62, "end": 1205.76, "word": " على", "probability": 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0.9796549479166666}, {"start": 1253.11, "end": 1253.43, "word": " ايش", "probability": 0.550537109375}], "temperature": 1.0}, {"id": 44, "seek": 129136, "start": 1278.23, "end": 1291.37, "text": "هذه L Cos θ وهذه المسافة هتكون L على اتنين Cos θ", "tokens": [3224, 24192, 441, 15855, 12622, 37037, 24192, 9673, 3794, 31845, 3660, 8032, 2655, 30544, 441, 15844, 1975, 2655, 1863, 9957, 15855, 12622], "avg_logprob": -0.3481657530950463, "compression_ratio": 1.1, "no_speech_prob": 0.0, "words": [{"start": 1278.23, "end": 1278.57, "word": "هذه", "probability": 0.7744140625}, {"start": 1278.57, "end": 1278.81, "word": " L", "probability": 0.4931640625}, {"start": 1278.81, "end": 1280.09, "word": " Cos", "probability": 0.260986328125}, {"start": 1280.09, "end": 1280.71, "word": " θ", "probability": 0.367919921875}, {"start": 1280.71, "end": 1282.25, "word": " وهذه", "probability": 0.76171875}, {"start": 1282.25, "end": 1284.79, "word": " المسافة", "probability": 0.970947265625}, {"start": 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0.9599609375}, {"start": 3263.26, "end": 3263.92, "word": " exerted", "probability": 0.972412109375}, {"start": 3263.92, "end": 3264.1, "word": " by", "probability": 0.95849609375}, {"start": 3264.1, "end": 3264.44, "word": " gear", "probability": 0.927734375}, {"start": 3264.44, "end": 3264.86, "word": " B", "probability": 0.533203125}, {"start": 3264.86, "end": 3267.44, "word": " on", "probability": 0.876953125}, {"start": 3267.44, "end": 3268.7, "word": " gear", "probability": 0.7021484375}, {"start": 3268.7, "end": 3268.92, "word": " A", "probability": 0.900390625}, {"start": 3268.92, "end": 3269.36, "word": " الآن", "probability": 0.57720947265625}, {"start": 3269.36, "end": 3269.6, "word": " هاي", "probability": 0.4610595703125}, {"start": 3269.6, "end": 3269.84, "word": " gear", "probability": 0.478759765625}, {"start": 3269.84, "end": 3270.2, "word": " B", "probability": 0.7587890625}, {"start": 3270.2, "end": 3278.94, "word": " بنيف", "probability": 0.59423828125}, {"start": 3278.94, "end": 3279.44, "word": " باتجاه", "probability": 0.7681732177734375}, {"start": 3279.44, "end": 3279.8, "word": " عكسه", "probability": 0.76983642578125}, {"start": 3279.8, "end": 3279.94, "word": " يعني", "probability": 0.895263671875}, {"start": 3279.94, "end": 3280.14, "word": " هو", "probability": 0.89404296875}, {"start": 3280.14, "end": 3281.08, "word": " بيعمل", "probability": 0.88818359375}, {"start": 3281.08, "end": 3281.64, "word": " force", "probability": 0.9619140625}, {"start": 3281.64, "end": 3283.1, "word": " على", "probability": 0.75537109375}, {"start": 3283.1, "end": 3283.72, "word": " A", "probability": 0.77001953125}, {"start": 3283.72, "end": 3284.0, "word": " بهذا", "probability": 0.8837890625}, {"start": 3284.0, "end": 3284.52, "word": " الاتجاه", "probability": 0.9119873046875}, {"start": 3284.52, "end": 3285.68, "word": " بمعناته", "probability": 0.650439453125}, {"start": 3285.68, "end": 3285.96, "word": " A", "probability": 0.79248046875}, {"start": 3285.96, "end": 3286.22, "word": " بيعمل", "probability": 0.93310546875}, {"start": 3286.22, "end": 3286.58, "word": " عليه", "probability": 0.90283203125}, {"start": 3286.58, "end": 3287.38, "word": " بالعكس", "probability": 0.9779052734375}], "temperature": 1.0}, {"id": 111, "seek": 330850, "start": 3292.06, "end": 3308.5, "text": "F Tingential وفي عنده بالعكس M", "tokens": [37, 43196, 2549, 4032, 41185, 43242, 3224, 20666, 3615, 4117, 3794, 376], "avg_logprob": -0.48587740384615385, "compression_ratio": 0.8431372549019608, "no_speech_prob": 0.0, "words": [{"start": 3292.06, "end": 3292.4, "word": "F", "probability": 0.273681640625}, {"start": 3292.4, "end": 3293.14, "word": " Tingential", "probability": 0.511016845703125}, {"start": 3293.14, "end": 3295.56, "word": " وفي", "probability": 0.5634765625}, {"start": 3295.56, "end": 3297.24, "word": " عنده", "probability": 0.719970703125}, {"start": 3297.24, "end": 3303.26, "word": " بالعكس", "probability": 0.9639892578125}, {"start": 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"probability": 0.8623046875}, {"start": 3336.73, "end": 3337.21, "word": " احكيها", "probability": 0.655126953125}, {"start": 3337.21, "end": 3338.03, "word": " بالنسبة", "probability": 0.8209228515625}, {"start": 3338.03, "end": 3338.15, "word": " ل", "probability": 0.90478515625}, {"start": 3338.15, "end": 3338.39, "word": " B", "probability": 0.31884765625}, {"start": 3338.39, "end": 3338.71, "word": " T", "probability": 0.5771484375}, {"start": 3338.71, "end": 3339.31, "word": " واحد", "probability": 0.844970703125}, {"start": 3339.31, "end": 3341.09, "word": " زاد", "probability": 0.6392822265625}, {"start": 3341.09, "end": 3341.27, "word": " U", "probability": 0.92822265625}, {"start": 3341.27, "end": 3341.67, "word": " واحد", "probability": 0.965087890625}, {"start": 3341.67, "end": 3342.31, "word": " لاتنين", "probability": 0.8028564453125}, {"start": 3342.31, "end": 3344.15, "word": " بالساوي", "probability": 0.7945556640625}, {"start": 3344.15, "end": 3346.27, "word": " ايش؟", "probability": 0.71929931640625}, {"start": 3346.27, "end": 3346.85, "word": " T", "probability": 0.80419921875}, {"start": 3346.85, "end": 3347.19, "word": " اتنين", "probability": 0.9400634765625}, {"start": 3347.19, "end": 3349.71, "word": " صح؟", "probability": 0.8771158854166666}, {"start": 3349.71, "end": 3349.97, "word": " T", "probability": 0.88134765625}, {"start": 3349.97, "end": 3350.25, "word": " واحد", "probability": 0.988525390625}, {"start": 3350.25, "end": 3350.35, "word": " ايش", "probability": 0.7861328125}, {"start": 3350.35, "end": 3352.71, "word": " بالساوي؟", "probability": 0.93388671875}, {"start": 3352.71, "end": 3354.23, "word": " صفر", "probability": 0.9435221354166666}], "temperature": 1.0}, {"id": 113, "seek": 338694, "start": 3361.36, "end": 3386.94, "text": "هو T اتنين اللي هي نص I بي أمجا بي نين تربيع و U واحد لا اتنين بالساوي M في محاضرة", "tokens": [3224, 2407, 314, 1975, 2655, 1863, 9957, 13672, 1829, 39896, 8717, 9381, 286, 4724, 1829, 5551, 2304, 7435, 995, 4724, 1829, 8717, 9957, 6055, 2288, 21292, 3615, 4032, 624, 36764, 24401, 20193, 1975, 2655, 1863, 9957, 20666, 3794, 995, 45865, 376, 8978, 3714, 5016, 46958, 25720], "avg_logprob": -0.31499334979564586, "compression_ratio": 1.3592233009708738, "no_speech_prob": 0.0, "words": [{"start": 3361.36, "end": 3362.76, "word": "هو", "probability": 0.6485595703125}, {"start": 3362.76, "end": 3363.1, "word": " T", "probability": 0.6005859375}, {"start": 3363.1, "end": 3363.64, "word": " اتنين", "probability": 0.752716064453125}, {"start": 3363.64, "end": 3364.94, "word": " اللي", "probability": 0.683837890625}, {"start": 3364.94, "end": 3365.1, "word": " هي", "probability": 0.6474609375}, {"start": 3365.1, "end": 3365.66, "word": " نص", "probability": 0.974853515625}, {"start": 3365.66, "end": 3367.0, "word": " I", "probability": 0.71533203125}, {"start": 3367.0, "end": 3369.42, "word": " بي", "probability": 0.52081298828125}, {"start": 3369.42, "end": 3370.34, "word": " أمجا", 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\ No newline at end of file
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/K1lT1mi4qYE_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/K1lT1mi4qYE_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c18a7da48f93fd14228a52536240823ac2e0bbed
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/K1lT1mi4qYE_raw.srt
@@ -0,0 +1,1836 @@
+1
+00:00:05,090 --> 00:00:07,850
+بسم الله الرحمن الرحيم السلام عليكم و رحمة الله و
+
+2
+00:00:07,850 --> 00:00:11,810
+بركاته هنتكمل في مادة ال dynamica هنتقل على شبتر
+
+3
+00:00:11,810 --> 00:00:14,690
+جديد اللي هو plan motion of rigid bodies energy
+
+4
+00:00:14,690 --> 00:00:19,910
+and momentum methods شبتر
+
+5
+00:00:19,910 --> 00:00:24,040
+13 حكينا عن ال principle of work and energyال
+
+6
+00:00:24,040 --> 00:00:28,760
+principle of work energy تتضمن حل مسائل بتجيب
+
+7
+00:00:28,760 --> 00:00:32,240
+العلاقة بين ال displacement و ال breast من خلال
+
+8
+00:00:32,240 --> 00:00:35,200
+اللي هو ال principle of work energy اللي هي T1 زاد
+
+9
+00:00:35,200 --> 00:00:41,220
+U1 ل 2 بساوة T2 T1 اللي هي ال initial kinetic
+
+10
+00:00:41,220 --> 00:00:47,140
+energy U1 ل 2 اللي هو ال work done في المسافة من 1
+
+11
+00:00:47,140 --> 00:00:53,550
+ل 2 هو T2 ال final kinetic energyال principle of
+
+12
+00:00:53,550 --> 00:00:57,090
+impulse and momentum نربط بين ال velocities
+
+13
+00:00:57,090 --> 00:01:02,430
+الصراعات والزمن وال forces عند الأول الشي اللي عند
+
+14
+00:01:02,430 --> 00:01:07,030
+ال linear momentum واحد زائد summation لل impulse
+
+15
+00:01:07,030 --> 00:01:12,110
+من واحد لاتنين بيستوى ال linear momentum اتنين او
+
+16
+00:01:12,110 --> 00:01:16,590
+ال angular momentum واحد زائد summation لل moment
+
+17
+00:01:16,590 --> 00:01:19,850
+of impulse من واحد لاتنين بيستوى ال angular
+
+18
+00:01:19,850 --> 00:01:21,050
+momentum اتنين
+
+19
+00:01:25,860 --> 00:01:30,180
+طبعا نحكي عن ال impact و لذا نحكي عن موضوع ال
+
+20
+00:01:30,180 --> 00:01:32,900
+principle of impulse and momentum و ال application
+
+21
+00:01:32,900 --> 00:01:37,440
+of coefficient of restitution كيف نستخدم معامل
+
+22
+00:01:37,440 --> 00:01:42,600
+الارتداد بالنسبة
+
+23
+00:01:42,600 --> 00:01:46,880
+لل rigid body، ال rigid body مكوّمن عدد كبير من ال
+
+24
+00:01:46,880 --> 00:01:48,900
+particles
+
+25
+00:01:50,990 --> 00:01:58,290
+نفس ال principle T1 زي T12 بيساوي T2 T1 و T2 هي ال
+
+26
+00:01:58,290 --> 00:02:03,110
+initial و ال final total kinetic energy لكل ال
+
+27
+00:02:03,110 --> 00:02:08,750
+particles المكونة لل rigid body U1
+
+28
+00:02:08,750 --> 00:02:13,910
+ل 2 هو ال total work لكل الكوه الداخلية و الخارجية
+
+29
+00:02:13,910 --> 00:02:18,530
+المؤثرة على الجثيمات المكونة لل rigid body
+
+30
+00:02:24,090 --> 00:02:28,710
+الحين ده أنا مبين هنا rigid
+
+31
+00:02:28,710 --> 00:02:38,990
+body في two particles A و Bفي internal force بين
+
+32
+00:02:38,990 --> 00:02:45,710
+عند a و internal force minus f عند b هدول forces
+
+33
+00:02:45,710 --> 00:02:48,730
+لإنهم قوة داخلية متساوية في المقدار متضادة
+
+34
+00:02:48,730 --> 00:02:55,330
+بالاتجاهات الآن إذا بيصي displacement لنقطة a و
+
+35
+00:02:55,330 --> 00:03:00,550
+displacement لنقطة b لإن ال rigid body احنا ال
+
+36
+00:03:00,550 --> 00:03:02,450
+rigid body يعني المسافة بين particle و particle
+
+37
+00:03:02,450 --> 00:03:03,230
+بتتغيرش
+
+38
+00:03:05,960 --> 00:03:10,880
+باتجاه الخط الواصل بين a و b بتساو في المقدار و
+
+39
+00:03:10,880 --> 00:03:17,580
+بتعاكس في الاتجاه displaced عن ال b و احنا ال .. و
+
+40
+00:03:17,580 --> 00:03:21,980
+ال force بتعمل شغل باتجاه displacement، مظلوط؟
+
+41
+00:03:21,980 --> 00:03:28,560
+باتجاه المتعمل displacement مافي شغل، صح؟ ف .. و
+
+42
+00:03:28,560 --> 00:03:32,840
+بالتاليعشان يكون rigid body يعني المسافر بين a و b
+
+43
+00:03:32,840 --> 00:03:35,320
+لازم يكون displaced في هذا الاتجاه مستوى اللي هو
+
+44
+00:03:35,320 --> 00:03:37,280
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+45
+00:03:37,280 --> 00:03:37,480
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+46
+00:03:37,480 --> 00:03:38,120
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+47
+00:03:38,120 --> 00:03:39,480
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+48
+00:03:39,480 --> 00:03:39,500
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+49
+00:03:39,500 --> 00:03:39,820
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+50
+00:03:39,820 --> 00:03:41,700
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+51
+00:03:41,700 --> 00:03:46,800
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي هو
+
+52
+00:03:46,800 --> 00:03:52,760
+الاتجاه اللي هو الاتجاه اللي هو الاتجاه اللي
+
+53
+00:03:56,810 --> 00:03:59,770
+إذا أخدنا حالة تانية عند هذه particle A و particle
+
+54
+00:03:59,770 --> 00:04:04,490
+B فهي عندهين force minus F عند A و F عند B هدول
+
+55
+00:04:04,490 --> 00:04:09,710
+بشكل ايش ازدواج بيعمله ازدواج لأنهم بينهم مسافة R
+
+56
+00:04:09,710 --> 00:04:14,950
+و متساويتين في المقدار و متعاكستين في الاتجاه
+
+57
+00:04:14,950 --> 00:04:18,430
+بيعملوا ازدواج و الازدواج القيمة F في R
+
+58
+00:04:25,530 --> 00:04:29,330
+النتيجة الازدواج هصير ال rotation بزاوية D ثتا
+
+59
+00:04:29,330 --> 00:04:37,170
+بزاوية اه هصير ال rotation بزاوية ايه؟ D ثتا
+
+60
+00:04:37,170 --> 00:04:44,750
+وبالتالي ال work نتيجة الازدواج هكون العزم او
+
+61
+00:04:44,750 --> 00:04:48,910
+الازدواج في الزاوية اللي بلفها لان في حالة ال
+
+62
+00:04:48,910 --> 00:04:57,890
+issue ال linear الشغل مش بالساوية اذاحة في قوةفي
+
+63
+00:04:57,890 --> 00:05:02,650
+حالة ال rotation المكافئة او المناظر لل force عزم
+
+64
+00:05:02,650 --> 00:05:06,410
+صح؟ في حالة ال rotation و المناظر للإزاحة في حالة
+
+65
+00:05:06,410 --> 00:05:09,070
+ال linear اللي له في ال rotation اللي هو إيش
+
+66
+00:05:09,070 --> 00:05:12,850
+الدوران إزاى فهيكون عندى ال work due to couple
+
+67
+00:05:12,850 --> 00:05:22,750
+بصوة M D ثتا في عندى forcesممكن تأثر على الجسم وما
+
+68
+00:05:22,750 --> 00:05:31,250
+تعملش شغل forces تأثر على الجسم وما تعملش شغل زي
+
+69
+00:05:31,250 --> 00:05:35,290
+ال force applied to fixed points إذا عندي friction
+
+70
+00:05:35,290 --> 00:05:38,590
+ل ال spin، إذا عندي body
+
+71
+00:05:57,440 --> 00:06:02,160
+بدور حوالي نقطة هذه و ال pen هذه frictionless يعني
+
+72
+00:06:02,160 --> 00:06:07,400
+مافيش احتكاك معناته
+
+73
+00:06:07,400 --> 00:06:12,780
+ال reaction هنا ما بيعمل بيعملش
+
+74
+00:06:12,780 --> 00:06:19,090
+شغللأن مافيش عنده friction اللي يستنفذ جزء من
+
+75
+00:06:19,090 --> 00:06:21,830
+الطاقة الشغل في الآخر ليهاش طاقة مافيش friction
+
+76
+00:06:21,830 --> 00:06:26,670
+يستنفذ جزء من الطاقة عادي فمايكون ال normal force
+
+77
+00:06:26,670 --> 00:06:31,210
+أو ال reactions at frictionless spin ما بتعمل شغل
+
+78
+00:06:31,210 --> 00:06:37,310
+في ال forces acting in a direction normal to the
+
+79
+00:06:37,310 --> 00:06:40,650
+displacement of their point of application يعني
+
+80
+00:06:40,650 --> 00:06:41,390
+إذا عند جسم
+
+81
+00:06:45,500 --> 00:06:49,600
+بتحرك على frictionless
+
+82
+00:06:49,600 --> 00:06:59,760
+surface بيحكم رد فعل عمودي صح ال force عمودي على
+
+83
+00:06:59,760 --> 00:07:04,960
+displacement مش هتعمل شغل أو إذا جسم عندي ماشي
+
+84
+00:07:04,960 --> 00:07:10,040
+أفقي الوزن بتاعه بيعملش شغل إذا ماشي أفقي الوزن
+
+85
+00:07:10,040 --> 00:07:11,960
+بتاعه ما بيعمل شغل
+
+86
+00:07:18,230 --> 00:07:33,230
+الان في حالة ال rolling فاندي
+
+87
+00:07:33,230 --> 00:07:36,350
+friction force عشان يكون في عندي rolling لازم يكون
+
+88
+00:07:36,350 --> 00:07:46,330
+ال F أقل او يساوي ميو اس في ان صح؟ في friction
+
+89
+00:07:46,330 --> 00:07:58,990
+معناتهلكن نقطة هذه سرعتها VC ساوى صفر الشغل
+
+90
+00:07:58,990 --> 00:08:03,110
+الناتجي ال force ال friction هيكون الساوى F ال
+
+91
+00:08:03,110 --> 00:08:08,330
+displacement عن C و ال displacement عن C عبارة عن
+
+92
+00:08:08,330 --> 00:08:16,790
+السرعة في الزمنو هاد ايش بالساوية؟ صفر مع أن هاي
+
+93
+00:08:16,790 --> 00:08:20,610
+في friction بس ال force في حالة pure rolling ما
+
+94
+00:08:20,610 --> 00:08:33,890
+بتعمل شغل لأن مصورة النقطة بالساوية صفر إذا
+
+95
+00:08:33,890 --> 00:08:37,530
+عند جسم ماشي
+
+96
+00:08:37,530 --> 00:08:48,590
+بسرعة خطيةV هتكون الكائنات كأنها رجاله نص
+
+97
+00:08:48,590 --> 00:08:53,450
+طيب
+
+98
+00:08:53,450 --> 00:09:00,430
+إذا كان الجسم بدور
+
+99
+00:09:00,430 --> 00:09:06,710
+حوالي مركز ثقله مركز
+
+100
+00:09:06,710 --> 00:09:14,970
+ثقل تاعه سرعة و ايش الساعة؟ صفرلكن هو بدور فيله
+
+101
+00:09:14,970 --> 00:09:24,550
+طاقة حركة صراحة بتتحرك طب معناته سرعة مركز ثقل صفر
+
+102
+00:09:24,550 --> 00:09:27,250
+و إيه لو كانت ال energy؟ هتكون الكانت ال energy في
+
+103
+00:09:27,250 --> 00:09:35,430
+الحالة هتش تساوي في ال rotation في
+
+104
+00:09:35,430 --> 00:09:45,010
+حتة I و السرعة إيش هتكون؟ومجة تربية، إذا كان الجسم
+
+105
+00:09:45,010 --> 00:09:49,250
+مركز
+
+106
+00:09:49,250 --> 00:09:53,230
+ثقل ويله سرعة معينة وفيه anger ballistic omega
+
+107
+00:09:55,870 --> 00:09:58,190
+هيكون ال total kinetic energy في عندى kinetic
+
+108
+00:09:58,190 --> 00:10:02,450
+energy due to translation وفي kinetic energy due
+
+109
+00:10:02,450 --> 00:10:07,250
+to rotation معناه ال total kinetic energy T هتكون
+
+110
+00:10:07,250 --> 00:10:17,370
+سوى نص M V تربية زاد نص I أمجا تربية هذه due to
+
+111
+00:10:17,370 --> 00:10:21,750
+rotation وهذه due to translation
+
+112
+00:10:30,480 --> 00:10:37,860
+يعني الجزء هذا مرتبط بسرعته أنه بتتنقل بسرعة خطية
+
+113
+00:10:37,860 --> 00:10:41,280
+هذا الجزء مرتبط بدوران الجسم حواليه المركز اللي
+
+114
+00:10:41,280 --> 00:10:43,400
+قاله إذا عند جسم
+
+115
+00:11:12,710 --> 00:11:25,130
+بدور سرعة الزاوية omega معناته
+
+116
+00:11:25,130 --> 00:11:28,470
+اي particle اخدت اي particle هتكون هذه سرعته هذا
+
+117
+00:11:28,470 --> 00:11:38,170
+particle رقم I مثلا هتكون سرعته V I و هذه R I V I
+
+118
+00:11:40,630 --> 00:11:49,850
+بسوة omega ri ال
+
+119
+00:11:49,850 --> 00:11:55,390
+total kinetic energy لكل الجسم مجموعة ال kinetic
+
+120
+00:11:55,390 --> 00:12:02,550
+energies لكل ال particles صح؟ اللي مشكلة للجسم
+
+121
+00:12:02,550 --> 00:12:03,030
+معناته
+
+122
+00:12:05,880 --> 00:12:10,860
+الكائنات اللي نجتبي ساوة سماشن نفترض انه انا مجزق
+
+123
+00:12:10,860 --> 00:12:20,620
+ال particle لكتل صغيرة هيكون نص دلتا M I V I
+
+124
+00:12:20,620 --> 00:12:29,780
+square ساوة سماشن لنص دلتا M I ال V I اللي هي
+
+125
+00:12:29,780 --> 00:12:39,970
+عبارة عن ايش Omega R Iيعني حيكون omega
+
+126
+00:12:39,970 --> 00:12:44,310
+حتى تطلع برا omega square لأنه مش تراكب أهم كلهم
+
+127
+00:12:44,310 --> 00:12:55,510
+summation ل نص delta mi في ri تربيع حدث فعليا
+
+128
+00:12:55,510 --> 00:12:58,590
+الموضوع
+
+129
+00:12:58,590 --> 00:13:09,120
+بنرجح حوالين النقطة هذه يعني حيكوننص omega square
+
+130
+00:13:09,120 --> 00:13:21,520
+I حوالين ال O لإن
+
+131
+00:13:21,520 --> 00:13:26,010
+إذا في عندي system مثلا مجموعة بكرات أو ترسينيعني
+
+132
+00:13:26,010 --> 00:13:28,210
+ال system مكون من أكتر than rigid body، يعني لو
+
+133
+00:13:28,210 --> 00:13:32,170
+عندي ترسين engaged مع بعض ال system عبارة عن ترسين
+
+134
+00:13:32,170 --> 00:13:37,730
+أو لو عندي مجموعة بكرات و فيها مجموعة أجسام ال ..
+
+135
+00:13:37,730 --> 00:13:43,810
+ال system مكون من الأجسام زاداش البكراتفذا في عني
+
+136
+00:13:43,810 --> 00:13:48,670
+system of rigid bodies مع بعض ممكن انا اعمل
+
+137
+00:13:48,670 --> 00:13:51,110
+application لل process of work energy لكل جسم على
+
+138
+00:13:51,110 --> 00:13:56,790
+حده او لكل system مع بعضه او لكل system مع بعضه في
+
+139
+00:13:56,790 --> 00:14:03,510
+الحالتين ال T1 زاد U12 بالساوية T2 ال T1 T2 اللي
+
+140
+00:14:03,510 --> 00:14:07,310
+هي مجموعة ال kinetic energy لكل .. لكل الأجسام
+
+141
+00:14:07,310 --> 00:14:14,220
+المكونة للنظام ال U12 هو ال workلل forces المؤثر
+
+142
+00:14:14,220 --> 00:14:22,080
+على الجسام سواء كانت داخلية او خارجية في
+
+143
+00:14:22,080 --> 00:14:26,800
+حال مثال تتضمن pin connected members يعني مجموعة
+
+144
+00:14:26,800 --> 00:14:33,860
+بكرات و اجسام و حبال او في حالة تروس لان فيها
+
+145
+00:14:33,860 --> 00:14:37,220
+هتكون قوة داخلية مثلا ترس بين ترس و ترس بينه في
+
+146
+00:14:37,220 --> 00:14:40,990
+internal forcesهيكون internal force متساوى ..
+
+147
+00:14:40,990 --> 00:14:44,370
+متساوى في المقدار، مضادة في الاتجاه، ف ال network
+
+148
+00:14:44,370 --> 00:14:48,770
+لل net forces إيش يكون ساوي؟ صفر، معناته ال work
+
+149
+00:14:48,770 --> 00:14:54,690
+done على النظام هو يعني بيصير هو ال work due to
+
+150
+00:14:54,690 --> 00:14:57,810
+external forces only يعني مش هيبين تأثير ال
+
+151
+00:14:57,810 --> 00:15:00,870
+internal forces إلا إذا أخدت الجسم، مسكته، أخدته
+
+152
+00:15:00,870 --> 00:15:04,530
+لحاله، بتبين، لكن لو أخدت كل system مع بعضه، بيصير
+
+153
+00:15:04,530 --> 00:15:06,670
+قوة داخلية ما بيتبين
+
+154
+00:15:16,880 --> 00:15:20,380
+لأ بيكون ال conservation of energy إذا كانت ال
+
+155
+00:15:20,380 --> 00:15:25,460
+forces المؤثرة على الجسم conservative يعني إذا في
+
+156
+00:15:25,460 --> 00:15:29,680
+friction، ال friction is conservative force، ليش؟
+
+157
+00:15:29,680 --> 00:15:33,480
+الشغل
+
+158
+00:15:33,480 --> 00:15:37,280
+بتاعها بيعتمد على المصار، ال .. ال .. الوزن
+
+159
+00:15:37,280 --> 00:15:40,720
+conservative force ولا non conservativenon
+
+160
+00:15:40,720 --> 00:15:43,980
+conservative او a conservative لانه بيهمني البداية
+
+161
+00:15:43,980 --> 00:15:47,500
+و النهاية لان ايش المسار اللي ماشيه مش مهم عندى
+
+162
+00:15:47,500 --> 00:15:51,620
+فإذا كل ال forces بتأثر على ال system conservative
+
+163
+00:15:51,620 --> 00:15:56,360
+forces بيكون دي conservation of energy T1 زاد V1
+
+164
+00:15:56,360 --> 00:16:06,530
+بيستوى T2 زاد V2 انا عندى مبين عندى ردموصول بطرفه
+
+165
+00:16:06,530 --> 00:16:12,970
+على بي جسم بي، بي slide في المصار هذا، طرف تاني في
+
+166
+00:16:12,970 --> 00:16:16,510
+block، ايه slide في المصار هذا، معناته هذه حركة،
+
+167
+00:16:16,510 --> 00:16:21,830
+حركة مقيدة صح؟ حركة مقيدة، لو لو بدي أدرس الجسم
+
+168
+00:16:21,830 --> 00:16:22,850
+الرد AB
+
+169
+00:16:51,570 --> 00:17:00,150
+هذا مركز تقل جي هذا بي هذا ايه؟ هنا شركات جسم أفقه
+
+170
+00:17:00,150 --> 00:17:09,270
+اللي عملت مرجع reference و
+
+171
+00:17:09,270 --> 00:17:14,930
+release from rest يعني هيكون T واحد شو الساعة؟ صفر
+
+172
+00:17:14,930 --> 00:17:21,480
+V واحد انا بحكي عن ردوين ماك استقل جاي اعلن عن ال
+
+173
+00:17:21,480 --> 00:17:28,900
+reference فيش اللي بتفعل صح؟ صفر طيب
+
+174
+00:17:28,900 --> 00:17:34,080
+لان لو سبته هيبدأش هذا ينزل لتحت وهذا هتحرك للجهة
+
+175
+00:17:34,080 --> 00:17:39,300
+الشمال عند بعد شوية هيصير الوضع الجديد
+
+176
+00:18:23,300 --> 00:18:29,940
+هذه B هذه A هذه G
+
+177
+00:18:55,500 --> 00:19:07,280
+هذا ال reference هذا الزاوية theta لأن
+
+178
+00:19:07,280 --> 00:19:15,900
+في المنطقة هذه صورة السرعة omega طبعا
+
+179
+00:19:15,900 --> 00:19:23,520
+هذا الطول ال على اتنين معناته هذه المسافة لو خد
+
+180
+00:19:23,520 --> 00:19:34,340
+على الجهة التانيةهذا هتكون L على 2 Sine
+
+181
+00:19:34,340 --> 00:19:46,120
+theta طيب
+
+182
+00:19:46,120 --> 00:19:51,020
+صورة بي لتحت هاي ال VB
+
+183
+00:19:57,400 --> 00:20:03,420
+و هذه هتكون VA عشان اجيب ال instance center هعمل
+
+184
+00:20:03,420 --> 00:20:15,000
+عمودة على VB و عمودة على VA هذه
+
+185
+00:20:15,000 --> 00:20:21,980
+ال instance center عشان
+
+186
+00:20:21,980 --> 00:20:22,440
+اوجد
+
+187
+00:20:27,270 --> 00:20:34,690
+هتكون سرعة مركز ثقل هي دي صح وجهها هتكون عموديه
+
+188
+00:20:34,690 --> 00:20:40,690
+على ال GC صح
+
+189
+00:20:40,690 --> 00:20:51,970
+هد زوال ثتا و
+
+190
+00:20:51,970 --> 00:20:53,430
+هد المسافة هتكون ايش
+
+191
+00:21:18,230 --> 00:21:31,370
+هذه L Cos θ وهذه المسافة هتكون L على اتنين Cos θ
+
+192
+00:21:50,930 --> 00:22:03,210
+هذا المثلث المثلث هنحكم بي جي سي إذا
+
+193
+00:22:03,210 --> 00:22:15,350
+بتلاحظوا المثلث a c b الزاوية c قائمة معناته لو
+
+194
+00:22:15,350 --> 00:22:21,380
+رسمت دائرة في a و c و b بيكون قطرة الدائرة إيشAB
+
+195
+00:22:21,380 --> 00:22:25,620
+لأن هذه زاوية تسعين درجة صح؟ وهذا تكون على محيط
+
+196
+00:22:25,620 --> 00:22:36,640
+الدائرة معناته ال GC هيساوي ال AG هيساوي ال BG صح؟
+
+197
+00:22:36,640 --> 00:22:41,540
+لو رسم الدائرة تمر في النقاط A وC وB بقدر أرسم
+
+198
+00:22:41,540 --> 00:22:46,480
+دائرة بتلت نقاط المثلث الرسم التالي الدائرة قائم
+
+199
+00:22:46,480 --> 00:22:50,270
+الزاوية معناته هذا يمثل قطر الدائرةو هذا جاء من
+
+200
+00:22:50,270 --> 00:22:55,670
+المحيط لمركأ لنص القطر معناته هذا نص القطر هذا نص
+
+201
+00:22:55,670 --> 00:23:00,770
+القطر معناته ال CG
+
+202
+00:23:00,770 --> 00:23:04,130
+بيستوى
+
+203
+00:23:04,130 --> 00:23:10,670
+اللي هو L على 2 صح؟ لأن هذا بيستوى هذا معناته هذا
+
+204
+00:23:10,670 --> 00:23:16,910
+مثلث بيستوى أساقين معناته هذا بيستوى أكام؟ ثتا
+
+205
+00:23:19,590 --> 00:23:27,050
+معناته ال VG هذا إضافة يعني ال VG VG
+
+206
+00:23:27,050 --> 00:23:34,650
+تعمل رأس زوجة
+
+207
+00:23:34,650 --> 00:23:41,290
+ذاتة
+
+208
+00:23:41,290 --> 00:23:47,730
+الآن
+
+209
+00:23:47,730 --> 00:23:48,710
+T2 ماذا يعني؟
+
+210
+00:23:54,290 --> 00:24:00,110
+ده الرد ده ده نص M
+
+211
+00:24:00,110 --> 00:24:14,550
+VG تربيع زاد نص I IG Omega تربيع صح يعني
+
+212
+00:24:14,550 --> 00:24:19,430
+كنت ساول نص M
+
+213
+00:24:19,430 --> 00:24:22,650
+ال
+
+214
+00:24:22,650 --> 00:24:23,810
+VG هتكون Omega
+
+215
+00:24:26,450 --> 00:24:37,530
+Omega في GC صح؟ Omega في L على 2 كل تربيع زاد نص
+
+216
+00:24:37,530 --> 00:24:46,650
+ال I لرد واحد على اتناش في واحد على اتناش M L
+
+217
+00:24:46,650 --> 00:24:53,310
+تربيع Omega تربيع يعني
+
+218
+00:24:53,310 --> 00:24:54,050
+انا هكون عنده
+
+219
+00:24:56,730 --> 00:25:02,730
+هن ربع زاد واحد اربع وعشرين يعني السبعة على اربع
+
+220
+00:25:02,730 --> 00:25:12,530
+وعشرين بيطلع، صح؟ سبعة على اربع وعشرين، نحن شوية،
+
+221
+00:25:12,530 --> 00:25:22,410
+لأ تمن عندي هن نصف ربع تمن يعني عندي تمن و هن واحد
+
+222
+00:25:22,410 --> 00:25:26,650
+على اربع وعشرينتلاتة زياد واحد اربع على اربع و
+
+223
+00:25:26,650 --> 00:25:34,170
+عشرين واحد على ستة انا هكون واحد على ستة امبر
+
+224
+00:25:34,170 --> 00:25:41,090
+اميجا سكوير L سكوير هذه تتنين الا ان ال V تنين
+
+225
+00:25:41,090 --> 00:25:47,730
+potential energy تنين هتكون ال negative تحت ال
+
+226
+00:25:47,730 --> 00:25:51,630
+reference هتكون minus MG
+
+227
+00:25:53,580 --> 00:26:02,600
+العلى اتنين sin θ يتعود هنا ت واحد زائد V واحد
+
+228
+00:26:02,600 --> 00:26:09,440
+بالساوي T اتنين T واحد زائد V واحد بالساوي T اتنين
+
+229
+00:26:09,440 --> 00:26:16,300
+زائد V اتنين اللي هي صفر زائد صفر بالساوي اللي هي
+
+230
+00:26:16,300 --> 00:26:17,320
+واحد على ستة
+
+231
+00:26:19,920 --> 00:26:33,060
+m omega square L square minus mg L على اتنين sin
+
+232
+00:26:33,060 --> 00:26:43,400
+theta يعني هتروح عندي M مع M و L مع L
+
+233
+00:26:46,260 --> 00:26:54,000
+وعندي اتنين بيصير ردياش تلاتة مظبوط يعني هتكون ال
+
+234
+00:26:54,000 --> 00:26:58,540
+omega بتساوي
+
+235
+00:26:58,540 --> 00:27:05,300
+تلاتة تلاتة
+
+236
+00:27:05,300 --> 00:27:13,900
+جي على ال sign theta
+
+237
+00:27:16,010 --> 00:27:22,570
+تحت الجذر هذا
+
+238
+00:27:22,570 --> 00:27:39,130
+ال omega و منها برضه ال V ال V ال
+
+239
+00:27:39,130 --> 00:27:51,390
+V بالثورة هيL على اتنين فومجة صح ال VG يعني هتكون
+
+240
+00:27:51,390 --> 00:27:54,550
+الجزر
+
+241
+00:27:54,550 --> 00:28:02,190
+التربيعي لتلاتة
+
+242
+00:28:02,190 --> 00:28:12,450
+على أربعة LG sin θ هذا
+
+243
+00:28:12,450 --> 00:28:12,950
+ال VG
+
+244
+00:28:21,080 --> 00:28:25,040
+اللي بتكون maximum لما تكون الزاوية اش لما تكون
+
+245
+00:28:25,040 --> 00:28:29,580
+تسيه لما تكون سان اش maximum اللي هى function of
+
+246
+00:28:29,580 --> 00:28:41,420
+sin theta طبعا
+
+247
+00:28:41,420 --> 00:28:51,100
+ال sinهك ال sign ال theta صح
+
+248
+00:28:51,100 --> 00:28:56,900
+91 180
+
+249
+00:28:56,900 --> 00:29:02,380
+72
+
+250
+00:29:02,380 --> 00:29:05,600
+360
+
+251
+00:29:10,100 --> 00:29:16,520
+هي فعليا تتحرك بين صفر و تسعين صفر و تسعين يعني
+
+252
+00:29:16,520 --> 00:29:21,460
+اعتبرها .. مش هتدخل بالسالب لأنها ستطلع لأعلى
+
+253
+00:29:21,460 --> 00:29:33,780
+مستحيل تطلع لأعلى مظلوط ال
+
+254
+00:29:33,780 --> 00:29:40,260
+power أو القدرةهي معدة لاستهلاكنا للطاقة معدة
+
+255
+00:29:40,260 --> 00:29:49,960
+لاستهلاكنا للطاقة يعني اذا عندى بطارية ممكن بطارية
+
+256
+00:29:49,960 --> 00:29:56,960
+انا افرغها خلال ساعة او افرغها خلال ثانية او خلال
+
+257
+00:29:56,960 --> 00:30:02,120
+دقيقة حسب الجهاز اللى بيسحب يدش بيسحب اذا بيسحب
+
+258
+00:30:02,120 --> 00:30:09,280
+بسرعة مانعته ايش ال power عاليةإذا بيسحب بطيق يعني
+
+259
+00:30:09,280 --> 00:30:15,200
+لو ركب على البطارية شاحن
+
+260
+00:30:15,200 --> 00:30:22,200
+.. شاحن جوال هتطول كتير لإنه بيسحب معدل سحبه
+
+261
+00:30:22,200 --> 00:30:28,040
+للطاقة قليل جدا بتاع لو لزم باوركت قليل لو حطيت
+
+262
+00:30:28,040 --> 00:30:34,410
+سخان ألفين واتهيستحبها بسرعة، هيفضّيها فال power
+
+263
+00:30:34,410 --> 00:30:41,910
+هي معدل استهلاكنا لل .. للطاقة في
+
+264
+00:30:41,910 --> 00:30:47,150
+الطاقة الشمسية مثلا البطارية هو جهاز طاقة صح؟
+
+265
+00:30:47,150 --> 00:30:59,190
+بطارية ال .. ال inverter هو جهاز power بيسحببصحى
+
+266
+00:30:59,190 --> 00:31:02,910
+بياش طاقة بمعدل معين حسب ال .. ال .. الجهاز اللي
+
+267
+00:31:02,910 --> 00:31:08,670
+بيغضيه ال
+
+268
+00:31:08,670 --> 00:31:13,110
+power بالثاول هي force في الصراع اذا كان ماشي
+
+269
+00:31:13,110 --> 00:31:20,210
+الجسم حركة خطية او اذا كان rotation بيكون العزم في
+
+270
+00:31:20,210 --> 00:31:23,730
+ايش في الصراع الزاوية torque في omega
+
+271
+00:31:29,480 --> 00:31:54,820
+نشوف مثال فى
+
+272
+00:31:54,820 --> 00:31:56,480
+عندى ال drum و fly whale
+
+273
+00:32:02,010 --> 00:32:05,210
+for drum and flywheel اللي احنا شايفينه drum و
+
+274
+00:32:05,210 --> 00:32:12,530
+flywheel ال moto inertia بتاعتها I مش سوى عشرة نص
+
+275
+00:32:12,530 --> 00:32:23,850
+pound قدم ثانية تربيع في
+
+276
+00:32:23,850 --> 00:32:28,750
+friction هنا عند محور الدورانthe bearing friction
+
+277
+00:32:28,750 --> 00:32:33,410
+is equivalent to a couple of sixty pound force عند
+
+278
+00:32:33,410 --> 00:32:37,470
+المحور
+
+279
+00:32:37,470 --> 00:32:44,290
+ستين pound قدم
+
+280
+00:32:44,290 --> 00:32:47,990
+at
+
+281
+00:32:47,990 --> 00:32:51,410
+the instant shown في اللحظة اللي احنا شايفينها the
+
+282
+00:32:51,410 --> 00:32:54,590
+block ال block التحت is moving down at six feet
+
+283
+00:32:54,590 --> 00:33:06,460
+per minuteبنسميها اللي هي V للبلوك ستة قدم per
+
+284
+00:33:06,460 --> 00:33:13,400
+second لتحت determine
+
+285
+00:33:13,400 --> 00:33:16,120
+the velocity of the block أوجه سرعة البلوك after
+
+286
+00:33:16,120 --> 00:33:20,560
+it has moved four feet downward أوجه سرعة البلوك
+
+287
+00:33:20,560 --> 00:33:25,560
+بعد ما نزل أربعة قدم يعني Delta Y
+
+288
+00:33:28,260 --> 00:33:51,740
+أربعة قدم لتحت طبعا
+
+289
+00:33:51,740 --> 00:33:54,360
+هستخدم ال principle of work and energy اللي هي T
+
+290
+00:33:54,360 --> 00:33:54,840
+واحد
+
+291
+00:33:58,460 --> 00:34:01,500
+لكل ال system هاخد ال system كامل مع بعض ال block
+
+292
+00:34:01,500 --> 00:34:10,440
+مع ال flywheel ت واحد زي دي واحد لاتنين بالثاوية ت
+
+293
+00:34:10,440 --> 00:34:18,500
+اتنين initially
+
+294
+00:34:18,500 --> 00:34:23,640
+الآن ال
+
+295
+00:34:23,640 --> 00:34:30,420
+T بتكون تثاويةكانت كتير هتكون T بتاعة ال flywheel
+
+296
+00:34:30,420 --> 00:34:41,120
+زاد الكانت كتير بتاعة إيه؟ البلوك البلوك
+
+297
+00:34:41,120 --> 00:34:53,980
+حركة حركة خطية صح؟ هتكون مص M بتاعة البلوك ب في VB
+
+298
+00:35:00,520 --> 00:35:08,740
+تربيع صح؟ زائد ال flywheel بتدور حول مركزها يعني
+
+299
+00:35:08,740 --> 00:35:11,840
+صورة مركز السحر معناته فيه لها rotational kinetic
+
+300
+00:35:11,840 --> 00:35:18,780
+energy زائد نص I بتاعة ال flywheel في ال Omega
+
+301
+00:35:18,780 --> 00:35:24,780
+معناته
+
+302
+00:35:24,780 --> 00:35:29,550
+ال T واحدالان خلينا نوجد علاقة بين ال omega
+
+303
+00:35:29,550 --> 00:35:35,210
+والسرعة
+
+304
+00:35:35,210 --> 00:35:39,830
+بتاعة ال block ال
+
+305
+00:35:39,830 --> 00:35:47,550
+V بتاعة ال block شو الساوي؟ نص القطر اللي هو أكم؟
+
+306
+00:35:47,550 --> 00:35:53,930
+واحد و ربع صح؟ واحد و ربع omega بتاعة ال flywheel
+
+307
+00:35:59,580 --> 00:36:13,840
+يعني ال T هتكون ساعة و نص M block V
+
+308
+00:36:13,840 --> 00:36:22,560
+block تربيع زاد نص ال I بتاعة ال flywheel في ال
+
+309
+00:36:22,560 --> 00:36:26,800
+Omega بتاعة ال flywheel اللي هي في VB
+
+310
+00:36:29,280 --> 00:36:33,440
+على واحد وربع تربيه
+
+311
+00:36:33,440 --> 00:36:38,440
+يعني صح؟
+
+312
+00:36:38,440 --> 00:36:46,620
+معناته T واحد هتكون
+
+313
+00:36:46,620 --> 00:36:50,840
+نص MB VB واحد تربيه زاد نص IF VB واحد على واحد
+
+314
+00:36:50,840 --> 00:36:56,280
+point اتنين و five كل تربيه هتكون نص فيه
+
+315
+00:36:58,000 --> 00:37:05,960
+الماستعة البلوكة كم اعطينيها؟ اتين واربعين على
+
+316
+00:37:05,960 --> 00:37:13,500
+اتنين و تلاتين و اتنين من عشرة في ال V بلوك واحد
+
+317
+00:37:13,500 --> 00:37:26,400
+هادي واحد في ستة تربيع زائد نص ال I في عشرة نص
+
+318
+00:37:30,010 --> 00:37:43,290
+في ستة تربية اق ستة على واحد وربع لكل
+
+319
+00:37:43,290 --> 00:37:53,850
+تربية هيحسبناش T واحد لأن
+
+320
+00:37:53,850 --> 00:37:54,510
+T اتنين
+
+321
+00:38:01,250 --> 00:38:16,410
+هتكون سواء نص .. كم؟ طيب
+
+322
+00:38:16,410 --> 00:38:24,090
+هتكون نص في متين و أربعين على اتنين و تلاتين و
+
+323
+00:38:24,090 --> 00:38:25,010
+اتنين من عشرة
+
+324
+00:38:30,200 --> 00:38:39,060
+في VB2 تربيع
+
+325
+00:38:39,060 --> 00:38:48,260
+زائد نص عشرة نص في
+
+326
+00:38:48,260 --> 00:38:52,080
+VB2
+
+327
+00:38:52,080 --> 00:38:59,590
+على واحد ربع لكل تربيعهأطلع كله في دلالة الاش ال V
+
+328
+00:38:59,590 --> 00:39:06,130
+ب اتنين هاديتين اتنين طيب
+
+329
+00:39:06,130 --> 00:39:13,110
+U واحد لاتنين هتكون
+
+330
+00:39:13,110 --> 00:39:19,910
+في U واحد لاتنين بتاعة ال block صح؟ زاد U واحد
+
+331
+00:39:19,910 --> 00:39:23,030
+لاتنين عند ال flywheel
+
+332
+00:39:30,620 --> 00:39:36,880
+الى block نزل يعني هكون positive work صح وزنه
+
+333
+00:39:36,880 --> 00:39:45,620
+بيعمل وزنه اللى هتكون اللى هى أربعة هكون WB في
+
+334
+00:39:45,620 --> 00:39:55,160
+Delta Y اللى
+
+335
+00:39:55,160 --> 00:40:01,220
+هتكون ال torque فيه torqueاو moment ستين هذه
+
+336
+00:40:01,220 --> 00:40:12,000
+معاكسة بتعاكسنا هتكون ناقص M في ثيتا ناقص M في
+
+337
+00:40:12,000 --> 00:40:17,860
+ثيتا طيب الان
+
+338
+00:40:17,860 --> 00:40:23,260
+هو نزل اربع قدم اربع قدم من اين اجوا مكانهم على
+
+339
+00:40:23,260 --> 00:40:31,030
+البكرة انا عرفت المحيط القوسعارف ال S معناه تبقوا
+
+340
+00:40:31,030 --> 00:40:38,750
+كده أحسب إيش ال theta ال theta إيش هتساوي S على R
+
+341
+00:40:38,750 --> 00:40:48,390
+صح ال S اللي هي إيش أربعة على R اللي هي واحد و
+
+342
+00:40:48,390 --> 00:40:53,230
+ربعة أكام
+
+343
+00:40:53,230 --> 00:40:56,730
+بيطلع تلاتة
+
+344
+00:40:56,730 --> 00:40:57,270
+point اتنين
+
+345
+00:41:11,920 --> 00:41:18,800
+تلاتة point اتنين radians ميارته
+
+346
+00:41:18,800 --> 00:41:24,240
+هتكون U واحد لاتنين بتساوي الوزن عند ميتين و
+
+347
+00:41:24,240 --> 00:41:34,480
+أربعين في أربعة ناقص الموت عند ستين في تلاتة point
+
+348
+00:41:34,480 --> 00:41:34,920
+اتنين
+
+349
+00:41:41,990 --> 00:41:47,370
+كام؟ سبعمية pound
+
+350
+00:41:47,370 --> 00:42:00,330
+قدم هدى واحد هدى اتنين بنعوض
+
+351
+00:42:00,330 --> 00:42:03,930
+اللى هى T واحد زادى واحد اتنين بالستواتين T واحد
+
+352
+00:42:03,930 --> 00:42:05,350
+اللى هى اتنين وخمسة وخمسين
+
+353
+00:42:08,890 --> 00:42:14,330
+.one ازادي واحد لاتنين سبعمية و تمانية و ستين
+
+354
+00:42:14,330 --> 00:42:19,150
+بالساوي T اتنين اللي هي ال account اللي طلعت معاكم
+
+355
+00:42:45,450 --> 00:42:53,190
+أحوالي سبعة أو ستة جزئيك سبعة
+
+356
+00:42:53,190 --> 00:42:56,930
+point تمانية
+
+357
+00:42:56,930 --> 00:43:06,890
+VB اتنين تربيع هتسوى سبعة point سفر تمانية VB
+
+358
+00:43:06,890 --> 00:43:27,920
+اتنين تربيع قبل ان احسبالـ VB2 هكذا
+
+359
+00:43:27,920 --> 00:43:28,440
+بتطلع؟
+
+360
+00:43:45,660 --> 00:43:56,700
+ميتين و تمانين تحت الجزر تطلع سبعتاش وش زي ذاك؟
+
+361
+00:43:56,700 --> 00:44:02,740
+كم؟ تسعتاش؟ يعني مش ميديا، تسعتاش point كم؟
+
+362
+00:44:16,310 --> 00:44:23,110
+واضح على أمور؟
+
+363
+00:44:23,110 --> 00:44:35,210
+طيب
+
+364
+00:44:35,210 --> 00:44:38,350
+ال
+
+365
+00:44:38,350 --> 00:44:43,030
+system احنا عشان مثال تاني ال system is a trace
+
+366
+00:44:43,030 --> 00:44:49,250
+system كمان عن ترسين a و bكان في حال السكون بعدين
+
+367
+00:44:49,250 --> 00:44:52,390
+حطينا عزم قيمة ستة نيوتر متر على ال gear b يعني
+
+368
+00:44:52,390 --> 00:44:57,950
+gear a و gear b neglecting friction اذا أهملنا
+
+369
+00:44:57,950 --> 00:45:02,970
+الاحتكاك determined the number of revolutions of
+
+370
+00:45:02,970 --> 00:45:09,850
+gear b before its angular velocity reached six
+
+371
+00:45:09,850 --> 00:45:13,810
+hundred rpm يعني نلخص المسألة أول شي
+
+372
+00:45:31,640 --> 00:45:36,240
+الـ system مولش released from rest تي واحد بالساوة
+
+373
+00:45:36,240 --> 00:45:41,480
+صفر ماشي تي واحد بالساوة صفر خلينا نحكي او
+
+374
+00:45:41,480 --> 00:45:48,800
+الصراعات يعني omega بي
+
+375
+00:45:48,800 --> 00:46:01,130
+واحد بالساوة صفر omega لترس a واحد بالساوة صفرو فى
+
+376
+00:46:01,130 --> 00:46:09,470
+moment M على B 6 نيوتن متر
+
+377
+00:46:09,470 --> 00:46:16,110
+بدك
+
+378
+00:46:16,110 --> 00:46:19,330
+detail number of revolutions of gear B يعنى theta
+
+379
+00:46:19,330 --> 00:46:25,990
+B before
+
+380
+00:46:25,990 --> 00:46:30,650
+its angle reaches 600 أربع ميعنى لما يصيروميجا
+
+381
+00:46:30,650 --> 00:46:41,030
+لترس باتنين بس هو ستمية RPM في اتنين باي على ستين
+
+382
+00:46:41,030 --> 00:46:44,030
+يعني اوميجا باتنين
+
+383
+00:46:57,180 --> 00:47:05,040
+ستين واحد ستين اتنين وستين و اشى اكم اتنين وستين
+
+384
+00:47:05,040 --> 00:47:14,680
+وواحد تمانية تلاتة radian per second هاخد
+
+385
+00:47:14,680 --> 00:47:19,980
+التنين هاخد system of rigid bodies system of rigid
+
+386
+00:47:19,980 --> 00:47:25,780
+bodies هكون عند ال T واحد زائد
+
+387
+00:47:27,000 --> 00:47:36,500
+يو واحد الاتنين بالساوية تتنين ممكن
+
+388
+00:47:36,500 --> 00:47:43,520
+احكي اللي هو ال conservation of energy بصير بس هذا
+
+389
+00:47:43,520 --> 00:47:47,000
+marginal يعني بصير التحكي صح مية بالمية تي واحدش
+
+390
+00:47:47,000 --> 00:47:51,380
+حاكي انا بالساوية سفر
+
+391
+00:47:51,380 --> 00:47:57,980
+يو واحدالاتنين طبعا في internal force بين ال terce
+
+392
+00:47:57,980 --> 00:48:01,840
+a و terce b متسوين في المقدار متعكسين في اتجاه
+
+393
+00:48:01,840 --> 00:48:05,680
+بلغوا بعض معناته او ان ال external forces هي اللي
+
+394
+00:48:05,680 --> 00:48:09,860
+بتعمل الشغل يعني اللي بتعمل الشغل فقط اللي هو ال
+
+395
+00:48:09,860 --> 00:48:16,460
+moment هيكون M θ
+
+396
+00:48:16,460 --> 00:48:20,260
+B
+
+397
+00:48:26,900 --> 00:48:32,380
+ام ثيتا بى طيب
+
+398
+00:48:32,380 --> 00:48:38,120
+تتنيناش الساوية نص
+
+399
+00:48:38,120 --> 00:48:41,140
+اي
+
+400
+00:48:41,140 --> 00:48:46,460
+ايه لان عنده pure rotation هو المركز استقله بس في
+
+401
+00:48:46,460 --> 00:48:53,860
+عنده rotation نص اي ايه اوميجا ايه تربيع زائد نص
+
+402
+00:48:53,860 --> 00:49:06,560
+اي بىomega b تربيع اولش
+
+403
+00:49:06,560 --> 00:49:10,440
+عنده هو معطين ال .. ال mass ل a وال read
+
+404
+00:49:10,440 --> 00:49:16,560
+suggestion المعنى هو ال IA ايش بتساوي م
+
+405
+00:49:16,560 --> 00:49:26,960
+ا ك ا تربيع ال MA اللي هي عشرةفي ال K بتاعة ال A
+
+406
+00:49:26,960 --> 00:49:34,480
+اللي هي متين point اتنين تربيع يعني point اربع
+
+407
+00:49:34,480 --> 00:49:46,880
+kilogram متر مربع مظبوط وال I B هتكون الكتلة بتاعة
+
+408
+00:49:46,880 --> 00:49:52,320
+B اللي هي تلاتة في point O تمانية
+
+409
+00:49:55,160 --> 00:49:59,280
+point o تمانية
+
+410
+00:49:59,280 --> 00:50:04,960
+تربع يعني تمانية بتمانية باربع و ستين من عشر تلاف
+
+411
+00:50:04,960 --> 00:50:08,940
+اربع و ستين بتلاتة اكم تلاتة باربع و اتناش تسعتاش
+
+412
+00:50:08,940 --> 00:50:16,340
+مية و اتنين و تسعين صفر point صفر kilogram متر
+
+413
+00:50:16,340 --> 00:50:16,820
+مربع
+
+414
+00:50:23,000 --> 00:50:28,700
+طيب في علاقة بين Omega A و Omega B Omega A في R A
+
+415
+00:50:28,700 --> 00:50:36,620
+بيساوي Omega B في R B معناته Omega A بتساوي
+
+416
+00:50:36,620 --> 00:50:48,000
+Omega B في R B على R A صح؟ يعني Omega B اللي هي
+
+417
+00:50:48,000 --> 00:50:50,460
+اتنين و ستة خليها بالرموز حاليا
+
+418
+00:50:54,160 --> 00:50:58,820
+ر بي اللي هو ر
+
+419
+00:50:58,820 --> 00:51:05,660
+بي اللي هو مية ع متين و خمسين يعني هتكون مية ع
+
+420
+00:51:05,660 --> 00:51:14,680
+متين و خمسين omega بي يعني السفر مع السفر أربعة من
+
+421
+00:51:14,680 --> 00:51:20,400
+عشرة صح يعني انا هكون عشرة خمسة اتنين اربعة من
+
+422
+00:51:20,400 --> 00:51:29,510
+عشرةوميجا بى معناته
+
+423
+00:51:29,510 --> 00:51:39,170
+T2 T2
+
+424
+00:51:39,170 --> 00:51:42,210
+هتكون
+
+425
+00:51:42,210 --> 00:51:43,510
+تستوى نص
+
+426
+00:51:52,100 --> 00:51:57,500
+I a اللي هو أربعة من عشرة في
+
+427
+00:51:57,500 --> 00:52:01,240
+omega
+
+428
+00:52:01,240 --> 00:52:12,380
+a تربيع اللي هتكون point واحد ستة هربعها دي صح؟
+
+429
+00:52:12,380 --> 00:52:18,140
+تربيع في omega b تربيع زائد
+
+430
+00:52:18,140 --> 00:52:28,620
+I b اللي هيبونت او واحد تسعة اتنين في
+
+431
+00:52:28,620 --> 00:52:34,560
+اميجا بي تربيع اللي اميجا بي اللي هي اتنين وستين
+
+432
+00:52:34,560 --> 00:52:46,020
+بونت تمانية تلاتة تربيع عاديتي اتنين
+
+433
+00:52:46,020 --> 00:52:52,080
+اكم
+
+434
+00:52:53,260 --> 00:53:07,980
+164.2 164.2 هذي
+
+435
+00:53:07,980 --> 00:53:16,980
+U واحدة اتنين ال M عندى اكم ستة تاتا بيه صح معناه
+
+436
+00:53:16,980 --> 00:53:19,900
+انتحار نعوض T واحد زي واحد اتنين بسوات اتنين T
+
+437
+00:53:19,900 --> 00:53:27,740
+واحد اللى هى صفرزاد يوحدة اتنين اللي هي ستة ثتاب
+
+438
+00:53:27,740 --> 00:53:31,400
+بالساوية
+
+439
+00:53:31,400 --> 00:53:36,920
+تتنين اللي هي مية اربعة ستين point اتنين يعني ثتاب
+
+440
+00:53:36,920 --> 00:53:40,240
+هتكون
+
+441
+00:53:40,240 --> 00:53:50,380
+تساوي سبع
+
+442
+00:53:50,380 --> 00:53:50,860
+عشرين
+
+443
+00:53:57,400 --> 00:54:01,140
+Radians علشان احوله ل revolution ال revolution انا
+
+444
+00:54:01,140 --> 00:54:08,680
+اكلمه Radian 2π يعني اقسم هذا على 2π يعني θ ب اقسم
+
+445
+00:54:08,680 --> 00:54:13,640
+هذا على 2π اربع
+
+446
+00:54:13,640 --> 00:54:16,980
+بون تلاتة خمسة revolutions
+
+447
+00:54:20,960 --> 00:54:24,440
+المطلوب التاني هو tangential force exerted by gear
+
+448
+00:54:24,440 --> 00:54:38,940
+B on gear A الآن هاي gear B بنيف
+
+449
+00:54:38,940 --> 00:54:44,520
+باتجاه عكسه يعني هو بيعمل force على A بهذا الاتجاه
+
+450
+00:54:44,520 --> 00:54:47,380
+بمعناته A بيعمل عليه بالعكس
+
+451
+00:54:52,060 --> 00:55:03,260
+F Tingential وفي عنده بالعكس
+
+452
+00:55:03,260 --> 00:55:08,500
+M
+
+453
+00:55:35,730 --> 00:55:41,270
+يعني احنا حاجة احكيها بالنسبة ل B T واحد زاد U
+
+454
+00:55:41,270 --> 00:55:50,350
+واحد لاتنين بالساوي ايش؟ T اتنين صح؟ T واحد ايش
+
+455
+00:55:50,350 --> 00:55:54,230
+بالساوي؟ صفر
+
+456
+00:56:01,360 --> 00:56:17,140
+هو T اتنين اللي هي نص I بي أمجا بي نين تربيع و
+
+457
+00:56:17,140 --> 00:56:22,760
+U واحد لا اتنين بالساوي
+
+458
+00:56:22,760 --> 00:56:26,040
+M
+
+459
+00:56:26,040 --> 00:56:30,960
+في محاضرةخلاص المحاضرة الجاي بينكمل
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Mnwh5wdaxME.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Mnwh5wdaxME.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9265482929c64bb8d7511605f63d10ec769150ae
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Mnwh5wdaxME.srt
@@ -0,0 +1,1386 @@
+1
+00:00:05,470 --> 00:00:08,370
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,370 --> 00:00:12,330
+وبركاته اليوم هنبدأ أول محاضراتنا في مادة ال
+
+3
+00:00:12,330 --> 00:00:17,390
+ديناميكا هنبدأ ب chapter 11 kinematics of
+
+4
+00:00:17,390 --> 00:00:22,590
+particles طبعا
+
+5
+00:00:22,590 --> 00:00:27,910
+في البداية هنعطي بعض التعريفات الأساسية اللي لازم
+
+6
+00:00:27,910 --> 00:00:30,790
+يكون عرفناها في مادة الديناميكا أول شيء خلينا نعرف
+
+7
+00:00:30,790 --> 00:00:34,890
+الـ mechanics، mechanics طبعا هي العلم اللي
+
+8
+00:00:34,890 --> 00:00:40,510
+بيصف و بيتوقع حالات السكون، والحركة للأجسام تحت تأثير
+
+9
+00:00:40,510 --> 00:00:46,150
+القوة. الـ mechanics ممكن نقسمها لثلاثة أقسام اللي هي
+
+10
+00:00:46,150 --> 00:00:49,590
+mechanics of rigid bodies، اللي هي ميكانيكا الأجسام
+
+11
+00:00:49,590 --> 00:00:54,350
+الجاسدة، mechanics of deformable bodies هي
+
+12
+00:00:54,350 --> 00:00:58,810
+ميكانيكا الأجسام القابلة للتشوه تحت تأثير الأحمال، و
+
+13
+00:00:58,810 --> 00:01:03,730
+mechanics of fluids، ميكانيكا الموائع. احنا طبعا في
+
+14
+00:01:03,730 --> 00:01:07,250
+الـ course هذا اهتمامنا في ميكانيكا الأجسام الجاسدة،
+
+15
+00:01:07,250 --> 00:01:11,010
+mechanics of rigid bodies. الـ mechanics of rigid
+
+16
+00:01:11,010 --> 00:01:17,140
+bodies ممكن نقسمها لقسمين اللي هي الـ statics والـ
+
+17
+00:01:17,140 --> 00:01:20,680
+dynamics. الـ statics هي دراسة الأجسام في حالة
+
+18
+00:01:20,680 --> 00:01:26,240
+السكون. الـ dynamics دراسة الأجسام في حالة الحركة. الـ
+
+19
+00:01:26,240 --> 00:01:30,200
+dynamics ممكن نقسمها لجزئين رئيسيين اللي هو الـ
+
+20
+00:01:30,200 --> 00:01:35,000
+kinematics والـ kinetics. الـ kinematics هي دراسة
+
+21
+00:01:35,000 --> 00:01:39,860
+هندسة الحركة. هندسة الحركة، أنا بدرس الإزاحة، السرعة،
+
+22
+00:01:40,610 --> 00:01:46,490
+العجلة مع الزمن بدون التطرق للمسبب للحركة اللي هي
+
+23
+00:01:46,490 --> 00:01:49,690
+القوة. اللي بتخلي أي جسم يتحرك، أي جسم ما بيتحركش إلا
+
+24
+00:01:49,690 --> 00:01:54,910
+يكون له مؤثر خارجي عشان يحركه. الـ kinetics بربط
+
+25
+00:01:54,910 --> 00:02:00,550
+هندسة الحركة بالمسبب، بالقوة اللي هي في علاقة بين
+
+26
+00:02:00,550 --> 00:02:04,410
+القوة والحركة، فشيء ما بيتحرك لحاله. فهذه هي الـ
+
+27
+00:02:04,410 --> 00:02:04,870
+kinetics.
+
+28
+00:02:08,160 --> 00:02:11,740
+الديناميكا ممكن ندرسها على مستويين، مستوى الـ
+
+29
+00:02:11,740 --> 00:02:16,560
+particle level أو الـ rigid body level. المستوى الـ
+
+30
+00:02:16,560 --> 00:02:23,940
+particle ممكن أنه أمثل الجسم تحت الدراسة بنقطة
+
+31
+00:02:23,940 --> 00:02:30,560
+ممكن تكون مركز ثقله. يعني مثلا عندي كرة تسقط سقوطا
+
+32
+00:02:30,560 --> 00:02:36,970
+حرا، في الجو، ما بيهمنيش التفاصيل، بعتقد مركز ثقل الكرة هي
+
+33
+00:02:36,970 --> 00:02:42,550
+الجسم. فهذه بتكون مسألة على مستوى الـ particle. ممكن
+
+34
+00:02:42,550 --> 00:02:46,750
+السيارة بتطلع لها من بعيد، ما بيهمنيش إيش جوا، بتحرك قطع
+
+35
+00:02:46,750 --> 00:02:50,130
+ميكانيكية، الـ mechanisms، التروس، ما ... ما بيهمني
+
+36
+00:02:50,130 --> 00:02:55,290
+أنا شايف سيارة بتتحرك، فبعتبرها إيش؟ particle في الـ
+
+37
+00:02:55,290 --> 00:02:58,050
+rigid body level. بعض الأحيان بدي أدرس بعض القطع،
+
+38
+00:02:58,050 --> 00:03:01,950
+مثلا بدي أدرس اللي هي الـ slotted crank mechanism
+
+39
+00:03:01,950 --> 00:03:06,650
+جوا الـ engine، فبيهمني أدرس كل part على حدة،
+
+40
+00:03:06,650 --> 00:03:11,800
+فبالحالة دي، بلزمني الـ rigid body dynamics. احنا طبعا
+
+41
+00:03:11,800 --> 00:03:15,160
+المادة في مقسمة لجزئين اللي هي dynamics of
+
+42
+00:03:15,160 --> 00:03:18,800
+particles و dynamics of rigid bodies. أول ثلاثة
+
+43
+00:03:18,800 --> 00:03:22,020
+chapters هتكون على dynamics of particles، الثلاثة
+
+44
+00:03:22,020 --> 00:03:24,920
+chapters الثانية هتكون على dynamics of rigid bodies.
+
+45
+00:03:27,530 --> 00:03:31,270
+هنبدأ طبعا احنا في الـ kinematics، الـ kinematics of
+
+46
+00:03:31,270 --> 00:03:35,610
+particles. هنبدأ ندرس motion of particles، الـ
+
+47
+00:03:35,610 --> 00:03:41,690
+particle، الحركة بتاعته ممكن تكون على خط مستقيم أو
+
+48
+00:03:41,690 --> 00:03:47,710
+ممكن تكون على منحنى، يعني ممكن الـ particle يمشي على
+
+49
+00:03:47,710 --> 00:03:56,070
+خط مستقيم. ممكن يكون الخط مستقيم أفقي، رأسي، أو
+
+50
+00:03:56,070 --> 00:04:02,030
+مائل. هذا بيسمى rectilinear motion، الحركة على خط
+
+51
+00:04:02,030 --> 00:04:08,390
+مستقيم. ممكن النوع الثاني من الحركة، الحركة على
+
+52
+00:04:08,390 --> 00:04:14,090
+منحنى. الـ particle ماشي على منحنى، مش ماشي
+
+53
+00:04:14,090 --> 00:04:19,330
+على خط مستقيم. curvilinear motion، معناته هيكون عندي
+
+54
+00:04:19,330 --> 00:04:26,030
+الحركة على خط مستقيم، والحركة على منحنى. نبدأ في
+
+55
+00:04:26,030 --> 00:04:31,070
+دراسة اللي هو الجسيمات أو الـ particles على خط
+
+56
+00:04:31,070 --> 00:04:36,930
+مستقيم. زي ما أنتم شايفين، إن أنا باين عندي المحور
+
+57
+00:04:36,930 --> 00:04:48,750
+X، المحور X، له مركز إحداثيات هي O. في جسم بيمشي على محور X،
+
+58
+00:04:48,750 --> 00:04:58,070
+في لحظة ما، كان الجسم على نقطة P، يبعد مسافة X. إذا
+
+59
+00:04:58,070 --> 00:05:03,660
+كان على يمين المركز، بتكون الـ X موجبة. إذا كان على
+
+60
+00:05:03,660 --> 00:05:09,620
+شمال المركز بتكون سالبة. فعشان دراسة أي حركة،
+
+61
+00:05:09,620 --> 00:05:14,180
+كان لازم، كانت على خط مستقيم أو على منحنى، لازم
+
+62
+00:05:14,180 --> 00:05:21,500
+أعرف مرجع أو محاور إحداثيات. الآن
+
+63
+00:05:21,500 --> 00:05:29,480
+الجسم، هاي مركز إحداثيات، هاي المحور الأفقي X. عند
+
+64
+00:05:29,480 --> 00:05:35,240
+الزمن، عند لحظة ما، كان زمن قيمته T، كان الـ particle
+
+65
+00:05:35,240 --> 00:05:40,180
+عند نقطة P. بعد time increment Delta T، يعني زمن صار
+
+66
+00:05:40,180 --> 00:05:46,700
+T زائد Delta T، صار عند نقطة P Prime. معناته ماشي من T
+
+67
+00:05:46,700 --> 00:05:53,420
+إلى T زائد Delta T، ماشي مسافة، إزاحة Delta X. السرعة
+
+68
+00:05:53,420 --> 00:05:58,000
+المتوسطة، مازال بحكي عن المتوسط، بياخد من البداية
+
+69
+00:05:58,000 --> 00:06:04,120
+والنهاية، هتكون Delta x على Delta t. إذا بقيت أصغر
+
+70
+00:06:04,120 --> 00:06:08,300
+المسافة، فترة زمنية أصغر، Delta t أصغر، أصغر، أصغر،
+
+71
+00:06:08,300 --> 00:06:12,060
+أصغر، أصغر، يعني هاخد الـ limit، معناته سرعة
+
+72
+00:06:12,060 --> 00:06:17,860
+اللحظية هتكون الـ limit لـ Delta x على Delta t، as
+
+73
+00:06:17,860 --> 00:06:20,600
+Delta t approaches zero. معناته الـ V في الحالة دي
+
+74
+00:06:20,600 --> 00:06:21,920
+إيش بتساوي؟ dx
+
+75
+00:06:26,270 --> 00:06:37,050
+by dt، المشتقة الأولى طبعا.
+
+76
+00:06:37,050 --> 00:06:42,810
+اتجاه السرعة. افترض إن أنا هاي اتجاه الموجب، عند الـ
+
+77
+00:06:42,810 --> 00:06:49,710
+X، وأنا ماشي بهذا الاتجاه، سواء كنت ماشي بمعدل
+
+78
+00:06:49,710 --> 00:06:56,790
+متزايد أو بمعدل متباطئ، هذه سرعتي، وهذه اتجاهي، صح؟
+
+79
+00:06:56,790 --> 00:07:00,750
+فأنا بحكي عن اتجاه الحركة بتاعتي، فالسرعة بتعبر
+
+80
+00:07:00,750 --> 00:07:05,730
+عن اتجاه الحركة، بغض النظر إن أنا كنت بأسرع أو
+
+81
+00:07:05,730 --> 00:07:13,510
+بأبطأ. في الحالة هذه، السرعة إيش؟ موجبة. إذا كان عندي
+
+82
+00:07:13,510 --> 00:07:18,790
+particle بيتحرك بهذا الاتجاه، عكس الـ X axis، المعنى
+
+83
+00:07:18,790 --> 00:07:20,890
+إن السرعة، عشان تكون سالبة،
+
+84
+00:07:31,760 --> 00:07:37,700
+طيب، ناخد نفس الـ particle، عند
+
+85
+00:07:37,700 --> 00:07:48,840
+زمن T، كان عند نقطة P، وكان سرعته V. بعد
+
+86
+00:07:48,840 --> 00:07:53,380
+فترة زمنية Delta T، صارت سرعته V زائد Delta V.
+
+87
+00:07:57,850 --> 00:08:02,470
+يعني صار فيه تغير في السرعة، قد يكون تغير موجب، يعني
+
+88
+00:08:02,470 --> 00:08:07,870
+السرعة ازدادت، أو قد يكون تغير سالب، معناته السرعة
+
+89
+00:08:07,870 --> 00:08:12,210
+إيش؟ قلت. ممكن أحسب العجلة المتوسطة، الـ
+
+90
+00:08:12,210 --> 00:08:14,370
+average acceleration، هتساوي التغير في السرعة، Delta
+
+91
+00:08:14,370 --> 00:08:18,610
+V على Delta T. إذا صغرت الـ time increment، دلتا أصغر،
+
+92
+00:08:18,610 --> 00:08:21,810
+أصغر، أصغر، معناته هاخد الـ limit، هتكون الـ
+
+93
+00:08:21,810 --> 00:08:27,190
+acceleration اللحظية، limit Delta V على Delta T، as
+
+94
+00:08:27,190 --> 00:08:31,130
+Delta T approaches zero. بيساوي المشتقة الأولى
+
+95
+00:08:31,130 --> 00:08:35,450
+للسرعة، dV على dT.
+
+96
+00:08:39,440 --> 00:08:41,980
+طبعا اتجاه الـ acceleration، يعني احنا بنحكي اتجاه
+
+97
+00:08:41,980 --> 00:08:49,760
+الموجب. إذا أنا كنت ماشي بنفس اتجاه الموجب، وماشي
+
+98
+00:08:49,760 --> 00:08:54,300
+بهذا الاتجاه، وسرعتي بتزيد، معنى الـ acceleration
+
+99
+00:08:54,300 --> 00:08:58,920
+هتكون موجبة ولا سالبة؟ موجبة. لو كنت ماشي بهذا
+
+100
+00:08:58,920 --> 00:09:04,760
+الاتجاه، كنت سريع وببطئ، بتكون بالعكس، لإن التغير
+
+101
+00:09:06,160 --> 00:09:09,640
+سالب. حيكون معناه الـ acceleration بتكون بالعكس. لو
+
+102
+00:09:09,640 --> 00:09:13,260
+كنت أنا ماشي بالاتجاه، هاي الـ negative، وماشي
+
+103
+00:09:13,260 --> 00:09:16,540
+بالاتجاه الـ negative، وسرعتي بتزيد في هذا الاتجاه،
+
+104
+00:09:16,540 --> 00:09:22,520
+هتكون سالبة. لو كنت ماشي بالاتجاه الـ negative، و
+
+105
+00:09:22,520 --> 00:09:27,020
+سرعتي بتتناقص، معناته هيكون اتجاه الـ acceleration
+
+106
+00:09:27,020 --> 00:09:33,820
+بالعكس، موجب. هنحل
+
+107
+00:09:33,820 --> 00:09:34,640
+الـ example هذا.
+
+108
+00:09:45,070 --> 00:09:51,410
+في عندي particle بيتحرك على خط مستقيم، إزاحته
+
+109
+00:09:51,410 --> 00:09:59,550
+معرفة بالمعادلة، X بتساوي 6T تربيع ناقص T
+
+110
+00:09:59,550 --> 00:10:03,170
+تكعيب، طبعا
+
+111
+00:10:03,170 --> 00:10:07,230
+لا يعني إن الـ particle بيتحرك على خط مستقيم، إن
+
+112
+00:10:07,230 --> 00:10:13,130
+العلاقات بتكون من الدرجة الأولى أو خطية. لأ، هذا شيء
+
+113
+00:10:13,130 --> 00:10:21,250
+آخر. هذا شيء آخر. طيب، الـ velocity إيش هتكون؟ مشتقة
+
+114
+00:10:21,250 --> 00:10:32,990
+الأولى. V بتساوي dx على dt، بتساوي 12T ناقص
+
+115
+00:10:32,990 --> 00:10:41,830
+3T تربيع. الـ acceleration، A،
+
+116
+00:10:41,830 --> 00:10:52,670
+بتساوي dv على dt، بتساوي 12 ناقص 6T. لما بدي
+
+117
+00:10:52,670 --> 00:11:01,990
+أبدأ أعمل plotting، أرسم الـ X والـ V والـ A، هعمل
+
+118
+00:11:01,990 --> 00:11:06,890
+جدول. هاي
+
+119
+00:11:06,890 --> 00:11:07,310
+الـ time،
+
+120
+00:11:15,830 --> 00:11:28,870
+الـ time، هبدأ من الـ acceleration، a، v، و x. عشان أبدأ
+
+121
+00:11:28,870 --> 00:11:32,970
+لازم أبدأ يعني أختار نقاط بشكل يعني بأقل عدد من
+
+122
+00:11:32,970 --> 00:11:37,490
+النقاط عشان أرسم. طبعا أول نقطة هبدأ فيها إيش؟ zero.
+
+123
+00:11:37,490 --> 00:11:43,610
+لما الـ t بيساوي صفر، بتكون الـ x صفر،
+
+124
+00:11:46,220 --> 00:11:51,640
+و الـ V صفر، يعني بدأ من السكون، و الـ acceleration
+
+125
+00:11:51,640 --> 00:11:58,960
+12 ناقص صفر، 12. طيب،
+
+126
+00:11:58,960 --> 00:12:02,200
+بدنا نشوف أول شيء، متى الـ acceleration بتكون مساوية
+
+127
+00:12:02,200 --> 00:12:08,720
+صفر؟ يعني متى الـ acceleration بتكون مساوية صفر؟ أيوة،
+
+128
+00:12:13,520 --> 00:12:17,120
+لأ، مديش أحكي رياضيات، بدي أحكي أول شيء فيزيائيا، لما
+
+129
+00:12:17,120 --> 00:12:24,580
+يكون ماشي بسرعة منتظمة، أو سرعته أقصى، أو قصوى، أو
+
+130
+00:12:24,580 --> 00:12:27,320
+minimum، maximum و minimum، بتكون الـ acceleration
+
+131
+00:12:27,320 --> 00:12:39,020
+zero. يعني a equal zero when، اللي هو 12 ناقص 6
+
+132
+00:12:39,020 --> 00:12:46,050
+T بيساوي zero، يعني بتكون T بتساوي إيش؟ 2 second.
+
+133
+00:12:46,050 --> 00:12:49,110
+يعني
+
+134
+00:12:49,110 --> 00:12:54,490
+عند 2 second، الـ
+
+135
+00:12:54,490 --> 00:13:00,210
+acceleration بتساوي إيش؟ صفر. بمعناته عند 2
+
+136
+00:13:00,210 --> 00:13:04,590
+second، أكيد السرعة هتكون maximum أو minimum، صح؟
+
+137
+00:13:04,590 --> 00:13:08,890
+لأن الـ acceleration بتساوي صفر. هنعوض في V بـ 2،
+
+138
+00:13:08,890 --> 00:13:19,600
+12 في 2، 24 ناقص 12، 12. طيب،
+
+139
+00:13:19,600 --> 00:13:24,980
+نعوض بـ T بـ 2 هنا، 6 × 4، 24 ناقص
+
+140
+00:13:24,980 --> 00:13:33,740
+8، 16، 16. بدي
+
+141
+00:13:33,740 --> 00:13:40,440
+كمان نقطة. لما V بتساوي صفر، find
+
+142
+00:13:42,670 --> 00:13:54,390
+T when V equal 0، بيصير عندي هنا صفر بتساوي 12T
+
+143
+00:13:54,390 --> 00:14:00,710
+ناقص 3T تربيع. يعني هناخد 3T على مشترك،
+
+144
+00:14:00,710 --> 00:14:09,150
+بيصير 4 ناقص T، معناته T بتساوي صفر أو T
+
+145
+00:14:09,150 --> 00:14:14,250
+بتساوي 4. يعني السرعة بتكون مساوية صفر لمن؟ للزمن في البداية، عند time equals zero، أو بعد أربع
+
+146
+00:14:14,250 --> 00:14:18,210
+ثواني. بتكون مساوية صفر. يعني عند هنا الـ T أربعة، الـ
+
+147
+00:14:18,210 --> 00:14:27,610
+V صفر. الـ x هتكون 6 × 16، 96 ناقص 4 × 64، 256
+
+148
+00:14:27,610 --> 00:14:33,190
+ناقص 128
+
+149
+00:14:34,390 --> 00:14:38,730
+ناقص 128، والـ
+
+150
+00:14:38,730 --> 00:14:45,610
+X هتكون 96 ناقص 64، 32. خلينا
+
+151
+00:14:45,610 --> 00:15:01,210
+نشوف متى، يعني واضح إن الـ particle بدأ من المركز،
+
+152
+00:15:01,210 --> 00:15:04,900
+اللي هو بدأ من الـ zero، طب، بدأ، أشوف هل برجع للـ 0
+
+153
+00:15:04,900 --> 00:15:18,560
+ولا لأ. يعني يعني find x when x equal to 0. في
+
+154
+00:15:18,560 --> 00:15:25,900
+الحلقة دي، عندي 6T تربيع ناقص T تكعيب
+
+155
+00:15:25,900 --> 00:15:32,470
+بيساوي الصفر. يعني أبدأ آخد T تربيع مشترك، هيكون 6
+
+156
+00:15:32,470 --> 00:15:38,730
+ناقص T بيساوي صفر. يعني في البداية هو انطلق من
+
+157
+00:15:38,730 --> 00:15:46,870
+المركز. في البداية T بيساوي صفر، أو T بتساوي 6. يعني في
+
+158
+00:15:46,870 --> 00:15:51,450
+البداية انطلق من المركز، وبعد 6 ثواني رجع ثاني
+
+159
+00:15:51,450 --> 00:16:01,090
+للمركز. يعني هتكون عندي هنا الـ X عند 6 ثواني صفر. الـ
+
+160
+00:16:01,090 --> 00:16:09,610
+V، 12 × 6، هو 72، ناقص
+
+161
+00:16:09,610 --> 00:16:14,290
+6 × 6،
+
+162
+00:16:14,290 --> 00:16:21,510
+هو 36، 3 × 36 هو 108، 72 ناقص 108، سالب 36، صح؟
+
+163
+00:16:30,540 --> 00:16:33,680
+لحظة، عندكوا عوض عن T بـ 6، 12 × 6 بـ 72،
+
+164
+00:16:33,680 --> 00:16:43,660
+ناقص 3 × 36، لأ، صح، ناقص 3 × 36، هو
+
+165
+00:16:43,660 --> 00:16:47,640
+108، يعني هتكون عندك 72 ناقص 108، ناقص 36، مظبوط. طيب، الـ a هتكون
+
+166
+00:16:47,640 --> 00:16:52,720
+12 ناقص 6 × 6، سالب 24. يعني
+
+167
+00:17:03,820 --> 00:17:09,080
+الآن، خليني أعرف اللقاءات الأساسية. أنا عندي هاي
+
+168
+00:17:09,080 --> 00:17:17,280
+المحاور، هعمل ثلاثة محاور. هاي هذا الزمن، T، بالـ second. T
+
+169
+00:17:17,280 --> 00:17:24,900
+بالـ second، T بالـ second، وعندي هنا الـ
+
+170
+00:17:24,900 --> 00:17:30,740
+acceleration، meter per second square، وهنا السرعة،
+
+171
+00:17:31,560 --> 00:17:39,940
+meter per second، وهنا الإ
+
+223
+00:22:32,790 --> 00:22:36,610
+إيش صار؟ صار يرجع
+
+224
+00:22:39,450 --> 00:22:45,970
+لحد ما وصلت ستة seconds رجع إلى المركز، هو ماشي على
+
+225
+00:22:45,970 --> 00:22:49,390
+خط مستقيم، معناته اللي يعني أنه ماشي على خط مستقيم
+
+226
+00:22:49,390 --> 00:22:53,050
+أن إذا هتتغير معنى الزمن بشكل خطي، لأ، ما اتغيرت
+
+227
+00:22:53,050 --> 00:23:02,250
+بشكل خطي، واضحات؟ طيب، لما ندرس الحركة للparticles
+
+228
+00:23:02,250 --> 00:23:07,480
+ممكن أصنف الحركة لثلاث أنواع، إن هو الأول الحركة إن
+
+229
+00:23:07,480 --> 00:23:13,980
+العجلة بتكون دالة مع الزمن، a is a function of t، أو
+
+230
+00:23:13,980 --> 00:23:16,580
+الـ acceleration is a function of position، a is a
+
+231
+00:23:16,580 --> 00:23:21,020
+function of x، أو الـ acceleration is a function of
+
+232
+00:23:21,020 --> 00:23:25,200
+velocity، هنشوف الحالة الأولى إذا كانت الـ
+
+233
+00:23:25,200 --> 00:23:25,720
+acceleration
+
+234
+00:23:41,040 --> 00:23:47,880
+الـ acceleration is a function of time، عندي الـ ..
+
+235
+00:23:47,880 --> 00:23:53,100
+الـ acceleration is a function of time، والـ
+
+236
+00:23:53,100 --> 00:23:58,900
+acceleration يساوي DV by DT، صح؟ يعني لو ضربت
+
+237
+00:23:58,900 --> 00:24:04,900
+الطرفين بـ DT، بيصير عندي DV
+
+238
+00:24:04,900 --> 00:24:18,380
+يساوي F of T DT، لو بأخد الـ integral من صفر لـ any
+
+239
+00:24:18,380 --> 00:24:24,540
+time T، وهي من V node لـ V function of T، بعمل
+
+240
+00:24:24,540 --> 00:24:29,480
+integration، وبقول أن V as a function of time minus
+
+241
+00:24:29,480 --> 00:24:40,750
+V node، بس هو تكامل من صفر لـ T لـ F of T DT، الآن الـ V
+
+242
+00:24:40,750 --> 00:24:51,150
+as a function of time عبارة عن DX by DT، يعني هكون
+
+243
+00:24:51,150 --> 00:25:00,170
+دي DX بيساوي V of T DT، إذا بعمل integral من X node
+
+244
+00:25:00,170 --> 00:25:06,950
+لـ X as a function of T، وهنا الـ T من صفر
+
+245
+00:25:10,020 --> 00:25:19,680
+لـ T، يعني هيكون عندي X of T minus X node، هيكون
+
+246
+00:25:19,680 --> 00:25:29,460
+تكامل لـ V of T DT، و T تتغير من 0 لـ T، يعني طالما
+
+247
+00:25:29,460 --> 00:25:34,880
+عرفت الـ acceleration، استطعت أجد المعادلة تاعت الـ
+
+248
+00:25:34,880 --> 00:25:39,100
+velocity، عرفت الـ velocity أو جدت المعادلة بتاعة
+
+249
+00:25:39,100 --> 00:25:44,980
+الإزاحة، شوف
+
+250
+00:25:44,980 --> 00:25:52,400
+الحالة الثانية، الحالة
+
+251
+00:25:52,400 --> 00:25:58,840
+الثانية، الـ acceleration is a function of x، الـ a is
+
+252
+00:25:58,840 --> 00:26:05,520
+a function of x، واللي إحنا عارفينه هو dv
+
+253
+00:26:08,390 --> 00:26:15,930
+على دي تي، صح؟ دي v على دي t، بضرب البسط بـ دي اكس
+
+254
+00:26:15,930 --> 00:26:23,650
+على دي اكس، يعني دي اكس على دي اكس، هذا الـ term لحاله
+
+255
+00:26:23,650 --> 00:26:33,450
+هو V، يعني هتكون يساوي V دي V على دي x، يعني هسيب
+
+256
+00:26:33,450 --> 00:26:46,530
+عندي V دي V، بس لو F of X دي X، بس بعمل تكامل من X
+
+257
+00:26:46,530 --> 00:26:55,730
+node لـ X، وهي من V node لـ V as a function of X
+
+258
+00:26:55,730 --> 00:27:03,670
+بيصير بالحالة هذه، حيث يصير عندي تكامل V دي V، اللي
+
+259
+00:27:03,670 --> 00:27:14,620
+هي V²، حيث يكون عندي نصف V of X تربيع minus نصف V node
+
+260
+00:27:14,620 --> 00:27:29,140
+تربيع، ستكون تكامل X node لـ X للـ F of X DX، هي أوجدت
+
+261
+00:27:29,140 --> 00:27:36,240
+السرعة as a function of X، الحالة الثالثة
+
+262
+00:27:38,830 --> 00:27:43,350
+أن تكون الـ acceleration function
+
+263
+00:27:43,350 --> 00:27:51,590
+of velocity، الـ A function
+
+264
+00:27:51,590 --> 00:28:02,790
+of velocity، نعرف أن الـ A برضه يساوي DV على DT، يعني
+
+265
+00:28:02,790 --> 00:28:06,870
+بتعمل separation of variables، هيكون أن الـ DV
+
+266
+00:28:10,080 --> 00:28:17,000
+على F of V يساوي
+
+267
+00:28:17,000 --> 00:28:28,380
+DT، معاها من صفر لـ T، وهي من V node لـ V، يعني هكون
+
+268
+00:28:28,380 --> 00:28:40,020
+عند الـ T يساوي تكامل من V node لـ V لـ DV على الـ F of
+
+269
+00:28:40,020 --> 00:28:50,220
+V، هاي الطريقة، أو بعدين هحكي والله A A
+
+270
+00:28:50,220 --> 00:28:53,560
+يساوي
+
+271
+00:28:53,560 --> 00:29:02,760
+F of V يساوي V DV على DX، يعني أنا هسيب عندي
+
+272
+00:29:05,500 --> 00:29:16,300
+VDV على F of V يساوي DX، بعمل تلك الامر من X
+
+273
+00:29:16,300 --> 00:29:26,580
+node لـ X، وهي من V node لـ V، يعني بصراحة أنت
+
+274
+00:29:26,580 --> 00:29:37,480
+X minus x node يساوي التكامل من v node لـ v لـ v dv على
+
+275
+00:29:37,480 --> 00:29:45,580
+f of v، في
+
+276
+00:29:45,580 --> 00:29:51,900
+أي سؤال؟ طيب، هنحل مثال
+
+277
+00:30:05,780 --> 00:30:10,660
+a ball tossed with ten meters per second vertical
+
+278
+00:30:10,660 --> 00:30:14,620
+velocity from around twenty meters above the
+
+279
+00:30:14,620 --> 00:30:23,040
+ground، في عندي مبنى من أحد الشبابيك، شخص حدف كرة
+
+280
+00:30:23,040 --> 00:30:28,420
+لأعلى، الشباك طبعًا ارتفاعه عن الأرض عشرين متر، حدف
+
+281
+00:30:28,420 --> 00:30:32,240
+كرة بسرعة مقدارها عشرة متر per second لأعلى
+
+282
+00:30:34,940 --> 00:30:39,760
+determine velocity and elevation above the ground
+
+283
+00:30:39,760 --> 00:30:45,220
+at time، يعني أجد كيف تتغير السرعة وارتفاع الكرة
+
+284
+00:30:45,220 --> 00:30:51,700
+مع الزمن، مثال زي هيك لازم أنا أرسم، يعني لازم أٌحدد هاي
+
+285
+00:30:51,700 --> 00:31:01,800
+عندي hidden reference، وهاي
+
+286
+00:31:01,800 --> 00:31:08,200
+الـ y axis، الكورة في البداية كانت في البداية موقعها
+
+287
+00:31:08,200 --> 00:31:11,260
+كانت
+
+288
+00:31:11,260 --> 00:31:17,160
+Y نود بتساوي عشرين متر، في البداية وكانت سرعتها
+
+289
+00:31:17,160 --> 00:31:24,400
+في البداية V نود عشرة متر per second، طبعًا لما رميت
+
+290
+00:31:24,400 --> 00:31:28,340
+الكرة، على فرض أنها ما فيها مقاومة هواء، هتكون الكورة
+
+291
+00:31:28,340 --> 00:31:32,280
+تحت تأثير الجاذبية، يعني الـ acceleration هتكون
+
+292
+00:31:32,280 --> 00:31:34,440
+قيمتها تسعة، الـ a
+
+293
+00:31:38,440 --> 00:31:48,340
+لتحت، هتكون سالب تسعة فاصلة ثمانية صفر ستة، اللي هي
+
+294
+00:31:48,340 --> 00:31:56,660
+متر per second square، هذا الـ A، هذا
+
+295
+00:31:56,660 --> 00:32:00,320
+شو يساوي DV
+
+296
+00:32:00,320 --> 00:32:06,720
+by DT، يعني DV
+
+297
+00:32:10,990 --> 00:32:17,570
+هتساوي minus 9.8 DT
+
+298
+00:32:17,570 --> 00:32:30,190
+هعمل تكامل V نود اللي هي عشرة، من عشرة بداية لـ V، و
+
+299
+00:32:30,190 --> 00:32:38,010
+هنا بدأ الزمن من صفر لـ T، تكامل DV من عشرة لـ V
+
+300
+00:32:38,010 --> 00:32:48,200
+هيكون عندي V minus عشرة بتساوي سالب تسعة فاصلة ثمانية
+
+301
+00:32:48,200 --> 00:32:58,000
+صفر ستة T، يعني هيكون دي V بتساوي عشرة minus تسعة
+
+302
+00:32:58,000 --> 00:33:04,940
+فاصلة ثمانية صفر ستة T، أين أحكي أي معادلة؟ واحد، طيب
+
+303
+00:33:04,940 --> 00:33:15,600
+الـ acceleration إيش يساوي؟ أو الـ y أو الـ v بتساوي dy
+
+304
+00:33:15,600 --> 00:33:25,460
+by dt، بتساوي عشرة minus تسعة فاصلة ثمانية صفر ستة t
+
+305
+00:33:25,460 --> 00:33:33,780
+يعني أنا هتصير عندي dy بتساوي
+
+306
+00:33:35,040 --> 00:33:44,080
+عشرة minus تسعة فاصلة ثمانية صفر ستة T دي T، هعمل
+
+307
+00:33:44,080 --> 00:33:54,300
+التكامل من صفر لـ T، و الـ Y من Y نود اللي هي عشرين لـ
+
+308
+00:33:54,300 --> 00:34:05,570
+Y، يعني هتطلع النتيجة Y minus عشرين هتساوي عشرة T
+
+309
+00:34:05,570 --> 00:34:21,910
+minus 4 فاصلة 9 0 3 T تربيع، يعني الـ Y هتساوي
+
+310
+00:34:21,910 --> 00:34:35,550
+20 زائد 10 T ناقص 4 فاصلة 903 T تربيع، هذا المطلوب
+
+311
+00:34:35,550 --> 00:34:40,050
+الأول، المطلوب الثاني بيسأل you the highest
+
+312
+00:34:40,050 --> 00:34:42,890
+elevation reached by the ball and corresponding
+
+313
+00:34:42,890 --> 00:34:51,470
+time، إيش أقصر تفاهم أن الكرة تصل لأقصى ارتفاعها
+
+314
+00:34:51,470 --> 00:34:56,890
+at maximum elevation
+
+315
+00:35:00,280 --> 00:35:08,260
+يكون أن الـ V يساوي صفر، يعني
+
+316
+00:35:08,260 --> 00:35:15,520
+هيكون عشرة minus تسعة فاصلة ثمانية صفر ستة T يساوي
+
+317
+00:35:15,520 --> 00:35:23,420
+صفر، يعني T الـ T at maximum elevation إيش هو؟ يساوي
+
+318
+00:35:23,420 --> 00:35:28,220
+عشرة على تسعة فاصلة ثمانية صفر ستة، هتطلع واحد
+
+319
+00:35:28,220 --> 00:35:35,920
+فاصلة 02 ثانية، one point zero one nine three
+
+320
+00:35:35,920 --> 00:35:44,220
+one nine three one nine three
+
+321
+00:35:44,220 --> 00:35:47,460
+point o nine one nine three point o nine one nine
+
+322
+00:35:47,460 --> 00:35:47,480
+three point o nine one nine three point o nine one
+
+323
+00:35:47,480 --> 00:35:49,600
+nine one nine three point o nine one nine three
+
+324
+00:35:49,600 --> 00:35:51,300
+point o nine one nine three point o nine one nine
+
+325
+00:35:51,300 --> 00:35:51,340
+three point o nine one nine three point o nine one
+
+326
+00:35:51,340 --> 00:35:59,000
+nine nine three point o nine one nine nine nine
+
+327
+00:35:59,000 --> 00:35:59,040
+nine nine nine nine nine nine nine nine nine nine
+
+328
+00:35:59,040 --> 00:35:59,060
+nine nine nine nine nine nine nine nine nine nine
+
+329
+00:35:59,060 --> 00:35:59,120
+nine nine nine nine nine nine nine nine nine nine
+
+330
+00:35:59,120 --> 00:36:05,700
+nine، عوض في معادلة اتنين، Y maximum هتكون تسعة و عشرين
+
+331
+00:36:05,700 --> 00:36:12,480
+فاصلة خمسة متر، عشرة في واحد فاصلة صفر واحد تسعة ثلاثة ناقص
+
+332
+00:36:12,480 --> 00:36:17,700
+أربعة فاصلة تسعة صفر ثلاثة في واحد فاصلة صفر واحد
+
+333
+00:36:17,700 --> 00:36:23,220
+تسعة ثلاثة تربيع، تحصل على الـ maximum elevation
+
+334
+00:36:23,220 --> 00:36:28,460
+reached by the ball، أقصى ارتفاع وصلت له الكورة
+
+335
+00:36:45,620 --> 00:36:47,580
+المطلوب الثالث
+
+336
+00:36:51,570 --> 00:36:54,810
+find the time when the ball will hit the ground
+
+337
+00:36:54,810 --> 00:36:59,430
+and the corresponding ballistic wave، الزمن عندما
+
+338
+00:36:59,430 --> 00:37:04,190
+ترتطم الكورة في الأرض، طيب متى ترتطم الكورة في
+
+339
+00:37:04,190 --> 00:37:15,030
+الأرض؟ لما Y يساوي صفر، بنحكي the ball hits the
+
+340
+00:37:15,030 --> 00:37:19,930
+ground when
+
+341
+00:37:23,340 --> 00:37:33,180
+Y يساوي صفر، هتساوي اللي هي عشرين زائد
+
+342
+00:37:33,180 --> 00:37:41,670
+عشرة T ناقص أربعة فاصلة تسعة صفر ثلاثة T تربيع، نخلي
+
+343
+00:37:41,670 --> 00:37:45,270
+نبدل المعادلة، نقسم على minus واحد، حيث أن عندي
+
+344
+00:37:45,270 --> 00:37:53,910
+أربعة فاصلة تسعة صفر ثلاثة T تربيع ناقص عشرة T ناقص
+
+345
+00:37:53,910 --> 00:38:01,290
+عشرين يساوي صفر، هذه معادلة من الدرجة الثانية، ممكن
+
+346
+00:38:01,290 --> 00:38:05,810
+أوجد الجذور بتاعتها باستخدام معادلة نيوتن، صح؟
+
+347
+00:38:05,810 --> 00:38:08,910
+مظبوط، فاكر المعادلة؟
+
+348
+00:38:12,500 --> 00:38:20,460
+عندك المعادلة a x تربيع زائد b x زائد c يساوي
+
+349
+00:38:20,460 --> 00:38:28,960
+صفر، يعني جذور الـ X هتكون minus b زائد أو ناقص
+
+350
+00:38:28,960 --> 00:38:35,480
+الجذر التربيعي لـ b تربيع ناقص أربعة a c، كله
+
+351
+00:38:35,480 --> 00:38:40,880
+على اتنين a، مظبوط؟
+
+352
+00:38:42,270 --> 00:38:47,690
+يعني نعوض هنا، قيمة الـ T، عند الـ b اللي هي ناقص
+
+353
+00:38:47,690 --> 00:38:52,930
+عشرة، والـ c ناقص عشرين، والـ a اللي هي أربعة فاصلة تسعة
+
+354
+00:38:52,930 --> 00:38:58,670
+صفر ثلاثة، قيمة الـ T هتكون
+
+355
+00:38:58,670 --> 00:39:02,570
+تساوي عشرة
+
+356
+00:39:02,570 --> 00:39:10,990
+طبعًا عند زائد أو ناقص الجذر التربيعي لعشرة تربيع
+
+357
+00:39:14,780 --> 00:39:21,000
+ناقص أربعة في أربعة فاصلة تسعة صفر ثلاثة ناقص ناقص زائد، صح؟
+
+358
+00:39:21,000 --> 00:39:29,220
+زائد أربعة في أربعة فاصلة تسعة صفر ثلاثة في عشرين
+
+359
+00:39:32,180 --> 00:39:42,160
+على اتنين في أربعة فاصلة تسعة صفر ثلاثة، طبعًا اللي
+
+360
+00:39:42,160 --> 00:39:50,060
+تحت الجذر واضح أكبر من العشرة، صح؟ معناته إذا خلت
+
+361
+00:39:50,060 --> 00:39:54,100
+minus، هتصبح زي ما هي، الـ minus زي ما هي، ما ترجعش لورا، معناته
+
+362
+00:39:54,100 --> 00:39:58,800
+هتكون بس الـ plus، هتكون عشرة plus
+
+363
+00:40:07,980 --> 00:40:14,880
+احسبولي إياها، اتنين فاصلة ثلاثة ثواني، بدها تكون متجانسة
+
+364
+00:40:14,880 --> 00:40:23,200
+في العدد من الأرقام، اتنين فاصلة اتنين اتنين ثلاثة،
+
+365
+00:40:23,200 --> 00:40:27,920
+يعني تخليها زي هيك، seconds
+
+366
+00:40:33,880 --> 00:40:38,100
+طبعًا الكورة هترتطم بالأرض بسرعة، لإن هذا سقوط
+
+367
+00:40:38,100 --> 00:40:47,980
+حر، لحساب السرعة بدي اسميها VH، هعوض في عشرة
+
+368
+00:40:47,980 --> 00:40:50,200
+ناقص
+
+369
+00:40:52,160 --> 00:40:58,260
+تسعة فاصلة ثمانية صفر ستة في اتنين فاصلة
+
+370
+00:40:58,260 --> 00:41:04,960
+اتنين اتنين ثلاثة، ومنها بوجد سرعة الارتطام في
+
+371
+00:41:04,960 --> 00:41:08,680
+الأرض، سالب
+
+372
+00:41:08,680 --> 00:41:12,540
+17 فاصلة
+
+373
+00:41:18,400 --> 00:41:30,400
+meter per second، يعني في عكس اتجاه الـ y axis، طيب
+
+374
+00:41:30,400 --> 00:41:35,360
+في أي سؤال؟ الـ Y max خمسة وعشرين، يعني هي بعد ما
+
+375
+00:41:35,360 --> 00:41:43,520
+ارتدت؟ ولا كانت الـ Y max خمسة وعشرين؟ بدأت نازلة، أنا
+
+376
+00:41:43,520 --> 00:41:48,470
+أقصى ارتفاع، يكون أقصى ارتفاعها، بيبقى مين هيعكسها؟
+
+377
+00:41:48,470 --> 00:41:53,610
+الجاذبية، الجاذبية، هتظل تنقص السرعة، تابع الانقاص،
+
+378
+00:41:53,610 --> 00:41:56,670
+انقاص للسرعة لحد ما تصل إيش؟ السرعة صفر، ما تصل
+
+379
+00:41:56,670 --> 00:41:58,990
+السرعة صفر، بيبقى ما انت مش هتقدر تكمل، فبتبدأ تنزل لتحت
+
+380
+00:41:58,990 --> 00:42:01,550
+وبتزيد سرعتها؟ لأ، لأ، لأ، أي أنا مابين السرعة
+
+381
+00:42:01,550 --> 00:42:07,110
+بالأعلى، سؤال
+
+382
+00:42:07,110 --> 00:42:10,230
+ثاني؟ اللي اتكلمت معاك عن اتجاه الـ acceleration
+
+383
+00:42:10,230 --> 00:42:18,920
+كيف يكون اتجاه الـ acceleration؟ لتحت، دائمًا
+
+384
+00:42:18,920 --> 00:42:26,560
+لتحت، الـ acceleration قيمتها ثابتة في الحالة هذه، ما
+
+385
+00:42:26,560 --> 00:42:29,500
+هو قيمتها والاتجاه بتاعتها ثابت، دائمًا الأرض بتشدك
+
+386
+00:42:29,500 --> 00:42:34,420
+لتحت، هل هتعكس الأرض، تحكي لك، ارفع؟ لأ، بتشدك
+
+387
+00:42:34,420 --> 00:42:35,020
+لتحت دائمًا
+
+388
+00:42:38,470 --> 00:42:41,670
+أرمي لأعلى، الجاذبية بتكون بالسالب، بتعكس الحركة
+
+389
+00:42:41,670 --> 00:42:45,550
+لتحت، أيوة بتكون بالسالب، بقى، أيوة، ولما
+
+390
+00:42:45,550 --> 00:42:48,430
+.. مثلا أرمي لتحت، برضه بالسالب، والجاذبية إيش
+
+391
+00:42:48,430 --> 00:42:54,310
+رأيك؟ أنت الجاذبية، وأنت ترمي لتحت بتساعدك ولا
+
+392
+00:42:54,310 --> 00:42:59,030
+بتعكسك؟ بتزيد السرعة، بتساعدك، هي لتحت دائمًا، وأنت
+
+393
+00:42:59,030 --> 00:43:03,190
+رميت لتحت، معناته هتعطيك دفع أكثر، مصطلح الحركة،
+
+394
+00:43:03,190 --> 00:43:04,230
+مصطلح الحركة، مصطلح الحركة، مصطلح الحركة، مصطلح
+
+395
+00:43:04,230 --> 00:43:08,890
+الحركة، مصطلح الحركة، مصطلح الحركة، لو أنت أسقطتها
+
+396
+00:43:08,890
+
+445
+00:47:39,450 --> 00:47:39,810
+ثاني
+
+446
+00:47:42,810 --> 00:47:44,790
+هكذا نكون خلصنا القلعة يعني
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Mnwh5wdaxME_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Mnwh5wdaxME_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0eec694ff303b0affe1ba701cf4329fa764603fa
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Mnwh5wdaxME_postprocess.srt
@@ -0,0 +1,1784 @@
+1
+00:00:05,470 --> 00:00:08,370
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,370 --> 00:00:12,330
+وبركاته اليوم هنبدأ أول محاضراتنا في مادة ال
+
+3
+00:00:12,330 --> 00:00:17,390
+dynamica هنبدأ ب chapter 11 kinematics of
+
+4
+00:00:17,390 --> 00:00:22,590
+particles طبعا
+
+5
+00:00:22,590 --> 00:00:27,910
+في البداية هنعطي بعض التعريفات الأساسية اللي لازم
+
+6
+00:00:27,910 --> 00:00:30,790
+يكون عرفينا في مادة ال dynamica أول شيء خلينا نعرف
+
+7
+00:00:30,790 --> 00:00:34,890
+في ال mechanicsالـ mechanics طبعا هي العلم اللي
+
+8
+00:00:34,890 --> 00:00:40,510
+بوصف و بتوقع حالات السكون، حركة للأجسام تحت تأثير
+
+9
+00:00:40,510 --> 00:00:46,150
+القوة ال mechanics ممكن أقسمها لتلت أقسام اللي هي
+
+10
+00:00:46,150 --> 00:00:49,590
+mechanics of rigid bodiesاللي هي ميكانيكا الأجسام
+
+11
+00:00:49,590 --> 00:00:54,350
+السائل جاسعة mechanics of deformable bodies هي
+
+12
+00:00:54,350 --> 00:00:58,810
+ميكانيكا الأجسام القابلة للتشوه تحت أثير الأحمال و
+
+13
+00:00:58,810 --> 00:01:03,730
+mechanics of fluids ميكانيكا المائعة احنا طبعا في
+
+14
+00:01:03,730 --> 00:01:07,250
+ال course هذا اهتمامنا في ميكانيكا الأجسام الجاسعة
+
+15
+00:01:07,250 --> 00:01:11,010
+mechanics of rigid bodies ال mechanics of rigid
+
+16
+00:01:11,010 --> 00:01:17,140
+bodies ممكن نقسمها لقسمين اللي هي ال staticsو ال
+
+17
+00:01:17,140 --> 00:01:20,680
+dynamics ال aesthetics هي دراسة الأجسام في حالة
+
+18
+00:01:20,680 --> 00:01:26,240
+السكون ال dynamics دراسة الأجسام في حالة الحركة ال
+
+19
+00:01:26,240 --> 00:01:30,200
+dynamics ممكن أقسمها لجزئين رئيسيين اللي هو ال
+
+20
+00:01:30,200 --> 00:01:35,000
+kinematics و الkinetics ال kinematics هي دراسة
+
+21
+00:01:35,000 --> 00:01:39,860
+هندسة الحركة هندسة الحركة أنا بدرس الإزاحة، السرعة
+
+22
+00:01:40,610 --> 00:01:46,490
+العجلة مع الزمن بدون التطرق للمسبب للحركة اللي هي
+
+23
+00:01:46,490 --> 00:01:49,690
+القوة اللي بتخل أي جسم تتحرك، أي جسم بتتحركش إلا
+
+24
+00:01:49,690 --> 00:01:54,910
+يكون له مؤثر خارجي عشان يحركه ال kinetics بربط
+
+25
+00:01:54,910 --> 00:02:00,550
+هندسة الحركة بالمسبب، بالقوة اللي هي في علاقة بين
+
+26
+00:02:00,550 --> 00:02:04,410
+القوة و الحركة فشش بتتحرك لحاله فهذه هي ال
+
+27
+00:02:04,410 --> 00:02:04,870
+kinetics
+
+28
+00:02:08,160 --> 00:02:11,740
+الديناميكا ممكن درسها على مستويين مستوى ال
+
+29
+00:02:11,740 --> 00:02:16,560
+particle level أو ال rigid body level المستوى ال
+
+30
+00:02:16,560 --> 00:02:23,940
+particle ممكن انه امثل الجسم تحت الدراسة بنقطة
+
+31
+00:02:23,940 --> 00:02:30,560
+ممكن تكون مركز ثقل يعني مثلا عندي كورة تسقط سقوط
+
+32
+00:02:30,560 --> 00:02:36,970
+حر في الجوبنانيش التفاصيل بعتقد مركز ثقة الكورة هي
+
+33
+00:02:36,970 --> 00:02:42,550
+الجسم فهذه بتكون مسألة على مستوى ال particle ممكن
+
+34
+00:02:42,550 --> 00:02:46,750
+السيارة بتطلع لها من بعيدبيهمنيش إيش جوا بتحرك قطع
+
+35
+00:02:46,750 --> 00:02:50,130
+ميكانيكية لكي ال mechanisms تتروس ما .. ما بيهمني
+
+36
+00:02:50,130 --> 00:02:55,290
+أنا شاف سيارة بتتحرك فباعتبرها إيش particle في ال
+
+37
+00:02:55,290 --> 00:02:58,050
+rigid body level بعض الأحيان بدي أدرس بعض القليات
+
+38
+00:02:58,050 --> 00:03:01,950
+مثلا بدي أدرس اللي هي ال slotted crank mechanism
+
+39
+00:03:01,950 --> 00:03:06,650
+جوا ال engine فبيهمني أدرس كل part على حده
+
+40
+00:03:06,650 --> 00:03:11,800
+فبالحالة دي بلزمني ال rigid body dynamicsاحنا طبعا
+
+41
+00:03:11,800 --> 00:03:15,160
+المادة في مقسمها لجزئين اللي هي dynamics of
+
+42
+00:03:15,160 --> 00:03:18,800
+particles و dynamics of rigid bodies أول تلاتة
+
+43
+00:03:18,800 --> 00:03:22,020
+chapters هتكون على dynamics of particles، التلاتة
+
+44
+00:03:22,020 --> 00:03:24,920
+chapter التانية هتكون على dynamics of rigid bodies
+
+45
+00:03:27,530 --> 00:03:31,270
+هنبدأ طبعا احنا في ال kinematics ال kinematics of
+
+46
+00:03:31,270 --> 00:03:35,610
+particles هنبدأ ندرس motion of particles ال
+
+47
+00:03:35,610 --> 00:03:41,690
+particle الحركة بتاعته ممكن تكون على خط مستقيم او
+
+48
+00:03:41,690 --> 00:03:47,710
+ممكن تكون على منحنى يعني ممكن ال particle يمشي على
+
+49
+00:03:47,710 --> 00:03:56,070
+خط مستقيم ممكن تكون الخط مستقيم أفق اورأسي أو
+
+50
+00:03:56,070 --> 00:04:02,030
+مائلي هذا بيسميه rectilinear motion الحركة على خط
+
+51
+00:04:02,030 --> 00:04:08,390
+مستقيم ممكن النوع التاني من الحركة الحركة على
+
+52
+00:04:08,390 --> 00:04:14,090
+منحنى ال particle ماشي على منحنى المنطق مش ماشي
+
+53
+00:04:14,090 --> 00:04:19,330
+على خط مستقيمcurvilinear motion معناته هيكون ان
+
+54
+00:04:19,330 --> 00:04:26,030
+الحركة على خط مستقيم والحركة على منحنة نبدأ في
+
+55
+00:04:26,030 --> 00:04:31,070
+دراسة اللي هو الجسيمات او ال particles على خط
+
+56
+00:04:31,070 --> 00:04:36,930
+مستقيم زي ما انتوا شايفين ان انا باين عندى المحور
+
+57
+00:04:36,930 --> 00:04:48,750
+X المحور X له مركز احدث هي Oفي جسم بمشي على محور X
+
+58
+00:04:48,750 --> 00:04:58,070
+في لحظة ما كان الجسم على نقطة P يبعد مسافة X إذا
+
+59
+00:04:58,070 --> 00:05:03,660
+كان على يمين المركز بتكون ال Xموجبة إذا كنت على
+
+60
+00:05:03,660 --> 00:05:09,620
+الشمال المركز بتكون السالبة فعشان دراست أي حركة
+
+61
+00:05:09,620 --> 00:05:14,180
+كان اسوان كانت على خط مستقيم أو على منحنة لازم
+
+62
+00:05:14,180 --> 00:05:21,500
+أعرف مرجع أو محاور إحداثيات الآن
+
+63
+00:05:21,500 --> 00:05:29,480
+الجسم هاي مركز إحداثيات هاي المحور الأفقي Xعند
+
+64
+00:05:29,480 --> 00:05:35,240
+الفترة عند لحظة ما كان زمن قيمته T كان ال particle
+
+65
+00:05:35,240 --> 00:05:40,180
+عند نقطة P بعد time increment Delta T يعني زمن صار
+
+66
+00:05:40,180 --> 00:05:46,700
+T زي Delta T صار عند نقطة P Prime معناته ماشي من T
+
+67
+00:05:46,700 --> 00:05:53,420
+ل T plus Delta T ماشي مسافة إزاحة Delta X السرعة
+
+68
+00:05:53,420 --> 00:05:58,000
+المتوسطةمازال بحكي عن المتواصل بيه من البداية
+
+69
+00:05:58,000 --> 00:06:04,120
+والنهاية هتكون delta x على delta t اذا بقيت ازغر
+
+70
+00:06:04,120 --> 00:06:08,300
+المسافة فترة زمنية ازغر delta t ازغر ازغر ازغر
+
+71
+00:06:08,300 --> 00:06:12,060
+ازغر ازغر يعني هاخد ال limit معناته استصارة
+
+72
+00:06:12,060 --> 00:06:17,860
+اللحظية هتكون ال limit ل delta x على delta t as
+
+73
+00:06:17,860 --> 00:06:20,600
+delta t approaches zero معناته ال V في الحالة دي
+
+74
+00:06:20,600 --> 00:06:21,920
+إيش ساوي DX
+
+75
+00:06:26,270 --> 00:06:37,050
+by dt المشتقة الأولى طبعا
+
+76
+00:06:37,050 --> 00:06:42,810
+اتجاه السرعة افترض ان انا هاي اتجاه الموجة عند ال
+
+77
+00:06:42,810 --> 00:06:49,710
+X وانا ماشي بهذا الاتجاه سواء كنت ماشي بمعدل
+
+78
+00:06:49,710 --> 00:06:56,790
+متزايد او بمعدل متباطئهذه سرعتى وهذه اتجاهى صح
+
+79
+00:06:56,790 --> 00:07:00,750
+فانا ببحكى على اتجاه الحركة بتاعتى فالسرعة بتعبر
+
+80
+00:07:00,750 --> 00:07:05,730
+عن اتجاه الحركة بغض النظر ان انا كنت باسرع او
+
+81
+00:07:05,730 --> 00:07:13,510
+بابطق في الحالة هذه السرعة ايش موجبة اذا كان عندي
+
+82
+00:07:13,510 --> 00:07:18,790
+particle بتحرك بهذا الاتجاه عكس ال X axis المعنى
+
+83
+00:07:18,790 --> 00:07:20,890
+ان السرعة عشان تكون سالبة
+
+84
+00:07:31,760 --> 00:07:37,700
+طيب ناخد نفس ال particle عند
+
+85
+00:07:37,700 --> 00:07:48,840
+زمن T كان نقطة P و كان سرعته V بعد
+
+86
+00:07:48,840 --> 00:07:53,380
+فترة زمنية Delta T صار سرعته V زي Delta V
+
+87
+00:07:57,850 --> 00:08:02,470
+يعني صار فيه تغير بالسرعة قد يكون تغير موجب يعني
+
+88
+00:08:02,470 --> 00:08:07,870
+السرعة ازادت او قد يكون تغيرالسالب ميانات السرعة
+
+89
+00:08:07,870 --> 00:08:12,210
+ايش قلة مياناتها ممكن احسب العجل المتوسط ال
+
+90
+00:08:12,210 --> 00:08:14,370
+average acceleration هتساوي التغير في السرعة delta
+
+91
+00:08:14,370 --> 00:08:18,610
+V على delta T اذا زغرت ال time increment دلت ازغر
+
+92
+00:08:18,610 --> 00:08:21,810
+ازغر ازغر مياناتها هاخد ال limit هتكون ال
+
+93
+00:08:21,810 --> 00:08:27,190
+acceleration اللحظية limit delta V على delta T as
+
+94
+00:08:27,190 --> 00:08:31,130
+delta T approaches zero بالساوية المشتقة الأولى
+
+95
+00:08:31,130 --> 00:08:35,450
+للسرعة DV على DT
+
+96
+00:08:39,440 --> 00:08:41,980
+طبعا اتجاه ال acceleration يعني احنا كهيل اتجاه
+
+97
+00:08:41,980 --> 00:08:49,760
+الموجب اذا انا كنت ماشي بهيل اتجاه الموجب وماشي
+
+98
+00:08:49,760 --> 00:08:54,300
+بهذا الاتجاه وسرعت بتزيد معنى ال acceleration
+
+99
+00:08:54,300 --> 00:08:58,920
+هتكون موجبة و لا سالبة؟ موجبة لو كنت ماشي بهذا
+
+100
+00:08:58,920 --> 00:09:04,760
+الاتجاه كنت سريع و ببطئ بتكون بالعكس لإن التغير
+
+101
+00:09:06,160 --> 00:09:09,640
+سالب حيكون معناه ال acceleration بتكون بالعكس لو
+
+102
+00:09:09,640 --> 00:09:13,260
+كنت انا ماشي بالاتجاه هاي ال negative و ماشي
+
+103
+00:09:13,260 --> 00:09:16,540
+بالاتجاه ال negative و سرعتي بتزيد في هذا الاتجاه
+
+104
+00:09:16,540 --> 00:09:22,520
+هتكون سالب لو كنت ماشي بالاتجاه ال negative و
+
+105
+00:09:22,520 --> 00:09:27,020
+سرعتي بتتناقص معناه هتكون تجاهي ال acceleration
+
+106
+00:09:27,020 --> 00:09:33,820
+بالعكس موجة هنحل
+
+107
+00:09:33,820 --> 00:09:34,640
+ال example هذا
+
+108
+00:09:45,070 --> 00:09:51,410
+فى عندى particle بتحرك على خط مستقيم اللي زاعة
+
+109
+00:09:51,410 --> 00:09:59,550
+بتاعة معرفة بالمعادلة X بالساعة ستة T تربيع ناقص T
+
+110
+00:09:59,550 --> 00:10:03,170
+تكيب طبعا
+
+111
+00:10:03,170 --> 00:10:07,230
+لا يعنى ان ال particle بتحرك على خط مستقيم ان
+
+112
+00:10:07,230 --> 00:10:13,130
+العلاقات بتكون من الدرجة الأولى او خطية لأ هذا إشي
+
+113
+00:10:13,130 --> 00:10:21,250
+و هذا إشيطيب ال velocity ايش هتكون مشتقة
+
+114
+00:10:21,250 --> 00:10:32,990
+الأولى V بيساوي DX على DT بتساوي اتناشر T ناقص
+
+115
+00:10:32,990 --> 00:10:41,830
+تلاتة T تربيع ال acceleration A
+
+116
+00:10:41,830 --> 00:10:52,670
+سوى DVعلى دي تي اصلا و اتناش ماينس ستة تي لما ده
+
+117
+00:10:52,670 --> 00:11:01,990
+ابدا اعمل plotting ارسم ال X و ال V و ال A هعمل
+
+118
+00:11:01,990 --> 00:11:06,890
+جدول هاي
+
+119
+00:11:06,890 --> 00:11:07,310
+ال time
+
+120
+00:11:15,830 --> 00:11:28,870
+ال time هبدأ من ال acceleration a v و x عشان ابدأ
+
+121
+00:11:28,870 --> 00:11:32,970
+لازم ابدأ يعني اختار نقاط بشكل يعني اقل عدد من
+
+122
+00:11:32,970 --> 00:11:37,490
+النقاط عشان ارسم طبعا اول نقطة هبدأ فيها ايش؟ zero
+
+123
+00:11:37,490 --> 00:11:43,610
+لما ال t بيستوى صفر بتكون ال x صفر
+
+124
+00:11:46,220 --> 00:11:51,640
+و ال V صفر يعني بدأ من السكون و ال acceleration
+
+125
+00:11:51,640 --> 00:11:58,960
+اتناش ناقص في تاتية اتناش طيب
+
+126
+00:11:58,960 --> 00:12:02,200
+بدنا نشوف اول الشي و اين ال acceleration بتكون سوا
+
+127
+00:12:02,200 --> 00:12:08,720
+صفر يعني متى ال acceleration بتكون سوا صفر ايوة
+
+128
+00:12:13,520 --> 00:12:17,120
+لأ مديش احكي رياضيات، مدي أحكي أولشي فيزيا لما
+
+129
+00:12:17,120 --> 00:12:24,580
+يكون ماشي بسرعة منتظمة أو سرعته أقصى من القصوى أو
+
+130
+00:12:24,580 --> 00:12:27,320
+minimum maximum و minimum تكون ال acceleration
+
+131
+00:12:27,320 --> 00:12:39,020
+zero يعني a equal zero when اللي هو اتناش ناقص ستة
+
+132
+00:12:39,020 --> 00:12:46,050
+T سوى zero يعني بتكون Tبستوى ايش؟ اتنين second
+
+133
+00:12:46,050 --> 00:12:49,110
+يعني
+
+134
+00:12:49,110 --> 00:12:54,490
+عند اتنين second ال
+
+135
+00:12:54,490 --> 00:13:00,210
+acceleration بستوى ايش؟ صفر بمعناته عند اتنين
+
+136
+00:13:00,210 --> 00:13:04,590
+second اكيد السرعة هتكون maximum او minimum صح؟
+
+137
+00:13:04,590 --> 00:13:08,890
+لان ال acceleration بستوى صفر هنعوض في V اتنين
+
+138
+00:13:08,890 --> 00:13:19,600
+اتناشر في اتنيناربع عشرين ناقص اتناش اتناش طيب
+
+139
+00:13:19,600 --> 00:13:24,980
+عوض ب T باتنين هنا ستة باربعة اربع عشرين ناقص
+
+140
+00:13:24,980 --> 00:13:33,740
+تمانية ستة عشر ستة عشر بدي
+
+141
+00:13:33,740 --> 00:13:40,440
+كمان نقطة لما نفيت سوى سفر find
+
+142
+00:13:42,670 --> 00:13:54,390
+T when V equal 0 بيصير عندي هنا Zero سواء اتناشر T
+
+143
+00:13:54,390 --> 00:14:00,710
+minus تلاتة T تربيع يعني هناخد تلاتة T على مشترك
+
+144
+00:14:00,710 --> 00:14:09,150
+بيصير اربعة ناقص Tمعناته T بالساوية صفر or T
+
+145
+00:14:09,150 --> 00:14:14,250
+بالساوية أربعة يعني السرعة بتكون بالساوية صفر لمن
+
+146
+00:14:14,250 --> 00:14:18,210
+الزمن في البداية عند time equals zero أو بعد أربع
+
+147
+00:14:18,210 --> 00:14:27,610
+ثوانة بتكون الساوية صفر يعني عند هنا ال T أربعة ال
+
+148
+00:14:27,610 --> 00:14:33,190
+V صفر ال Excel هتكون أطمعاش مارقص أربعة و عشرين
+
+149
+00:14:34,390 --> 00:14:38,730
+سالف اتناش وال
+
+150
+00:14:38,730 --> 00:14:45,610
+X هتكون ستة و ستاش ستة وتسعين نقص اربعة ستين اتنين
+
+151
+00:14:45,610 --> 00:14:53,350
+و تلاتين خلينا
+
+152
+00:14:53,350 --> 00:15:01,210
+نشوف متى يعني واضح ان ال particle بدأ من المركز
+
+153
+00:15:01,210 --> 00:15:04,900
+اللي حدث بدأ من ال zeroطب بدأ أشوف هل برجع لل 0
+
+154
+00:15:04,900 --> 00:15:18,560
+ولا لأ يعني يعني x find when x equal to 0 في
+
+155
+00:15:18,560 --> 00:15:25,900
+الحلقة ده حاسس أن عنديه 6t تربيع minus t تكيب
+
+156
+00:15:25,900 --> 00:15:32,470
+بالساوة والصفر يعني بدأ أخد t تربيع مشترك هيكون6
+
+157
+00:15:32,470 --> 00:15:38,730
+minus T بساوة صفر يعني في البداية هو انطلق من
+
+158
+00:15:38,730 --> 00:15:46,870
+المركز في البداية T بساوة صفر or T ستة يعني في
+
+159
+00:15:46,870 --> 00:15:51,450
+البداية انطلق من المركز و بعد ست ثوانة رجع تاني
+
+160
+00:15:51,450 --> 00:16:01,090
+لمركز يعني هتكون عندي هنا ال X عند ست ثوانة صفر ال
+
+161
+00:16:01,090 --> 00:16:09,610
+V12×6 هو 72 الناقص
+
+162
+00:16:09,610 --> 00:16:14,290
+6×6
+
+163
+00:16:14,290 --> 00:16:21,510
+هو 36 3×3 هو 144 108 سالب 36 صح؟
+
+164
+00:16:30,540 --> 00:16:33,680
+لحظة عندكوا عوض عن ت بستة اتناش ستة باتنين وسبعين
+
+165
+00:16:33,680 --> 00:16:43,660
+الان ستة و تلاتين لأ صح ناقص تلاتة فيه ستة و
+
+166
+00:16:43,660 --> 00:16:47,640
+تلاتين يعني هتكون عندك اتنين و سبعين ناقص مية و
+
+167
+00:16:47,640 --> 00:16:52,720
+تمانية ناقص ستة و تلاتين مظبوط طيب ال a هتكون
+
+168
+00:16:52,720 --> 00:16:57,280
+اتناش ناقص ستة و تلاتين سالب اربع عشر يعني
+
+169
+00:17:03,820 --> 00:17:09,080
+الان خليني اعرف اللقاءات الأساسية انا عندي هاي
+
+170
+00:17:09,080 --> 00:17:17,280
+المحور هعمل تلت محاور هاي هذا الزمن T بال second T
+
+171
+00:17:17,280 --> 00:17:24,900
+بال second T بال second و T بال second عندي هين ال
+
+172
+00:17:24,900 --> 00:17:30,740
+acceleration meter per second square و هين السرعة
+
+173
+00:17:31,560 --> 00:17:39,940
+meter per second و هنا الإذاعة XM بالمتر ال time
+
+174
+00:17:39,940 --> 00:17:47,200
+equal zero كانت ال X صفر هذه النقطة صح؟ و السرعة
+
+175
+00:17:47,200 --> 00:17:53,880
+كانت بدأ من السكون هذه النقطة و ال acceleration
+
+176
+00:17:53,880 --> 00:17:57,400
+كانت اتناش
+
+177
+00:18:02,750 --> 00:18:06,850
+عند ال time equal two second كانت ال acceleration
+
+178
+00:18:06,850 --> 00:18:13,210
+صفر ال
+
+179
+00:18:13,210 --> 00:18:17,490
+acceleration صفر و علاقة ال acceleration مع الزمن
+
+180
+00:18:17,490 --> 00:18:24,010
+علاقة خطية معناته بكفين نقطتين يعني لو وصلت النقطة
+
+181
+00:18:24,010 --> 00:18:30,040
+هذه مع النقطة هذهو مديت عرفت كيف ال acceleration
+
+182
+00:18:30,040 --> 00:18:35,880
+تتغير مع الزمن الان عند two second هذه اتنين هذه
+
+183
+00:18:35,880 --> 00:18:41,580
+سفر عند
+
+184
+00:18:41,580 --> 00:18:44,500
+two second كانت ال acceleration من سوا سفر معناته
+
+185
+00:18:44,500 --> 00:18:53,160
+هتكون السرعة maximum او minimum واضح السرعة زادت
+
+186
+00:18:53,160 --> 00:18:58,480
+معناته مزال زادت هتكون عياشmaximum يعني عندي هنا
+
+187
+00:18:58,480 --> 00:19:07,900
+الفلسطين maximum عند أربعة second كانت الفلسطين شو
+
+188
+00:19:07,900 --> 00:19:16,700
+ساوي صفر هذا أربعة second والعلاقة من الدرجة
+
+189
+00:19:16,700 --> 00:19:23,260
+التانية هنا تحتكوا أن الرسمة parabola هوصل
+
+190
+00:19:23,260 --> 00:19:24,200
+هي parabola
+
+191
+00:19:30,200 --> 00:19:36,080
+بالنسبة لل X عند
+
+192
+00:19:36,080 --> 00:19:43,920
+الصفر كانت قيمتها سفر والسرعة سفر معناته هتكون
+
+193
+00:19:43,920 --> 00:19:50,900
+الإزاحة يا minimum يا maximum صح؟ عند الأربعة
+
+194
+00:19:50,900 --> 00:19:57,100
+second برضه سرعة سفر معناته الإزاحة هتكون يا
+
+195
+00:19:57,100 --> 00:20:01,040
+minimum يا maximumالتلاتيين أكبر من سفر معناته هذه
+
+196
+00:20:01,040 --> 00:20:08,660
+هتكون maximum وهذه maximum وهذه minimum معناته ال
+
+197
+00:20:08,660 --> 00:20:16,420
+slope هى هى سفر وهي أفضل الان في نقطة بين التنتين
+
+198
+00:20:16,420 --> 00:20:20,360
+and two second كانت ال acceleration بالساوية سفر
+
+199
+00:20:20,360 --> 00:20:21,280
+and two second
+
+200
+00:20:26,520 --> 00:20:30,700
+كانت ال acceleration صفر و فى عندى two levels عندى
+
+201
+00:20:30,700 --> 00:20:34,460
+minimum level و maximum level فعندى minimum level
+
+202
+00:20:34,460 --> 00:20:41,120
+عندى zero و maximum level عند أربع second فيزيائيا
+
+203
+00:20:41,120 --> 00:20:47,660
+عشان تنتقل من minimum ل maximum لازم reflect او
+
+204
+00:20:47,660 --> 00:20:52,300
+اذا كنت maximum ل minimum انت بيكون عندك
+
+205
+00:20:55,970 --> 00:21:00,970
+عندك كان ال slope بيزيد و بعدين ماببدأياش يقل فإذا
+
+206
+00:21:00,970 --> 00:21:06,670
+إذا في عندك حالة التغير بيقل أو التغير بيزيد و
+
+207
+00:21:06,670 --> 00:21:08,810
+بعدين يصلّوا عليك سموبيل و بعدين ماببدأ يقل مانعك
+
+208
+00:21:08,810 --> 00:21:12,250
+ت .. لازم you have to inflict لازم يكون عندك نقطة
+
+209
+00:21:12,250 --> 00:21:17,710
+انقلابنقطة انقلاب معناته رياضيا لما تكون المشتقة
+
+210
+00:21:17,710 --> 00:21:21,830
+تاني بيساوي صفر المشتقة تاني بيساوي صفر يعني ال
+
+211
+00:21:21,830 --> 00:21:24,650
+acceleration بيساوي صفر يعني انا عندي اتنين عبارة
+
+212
+00:21:24,650 --> 00:21:29,870
+عن inflection point يعني ال slope هنا بيكون
+
+213
+00:21:29,870 --> 00:21:34,310
+maximum يلاحظوا هنا ال slope بيكون zero بزيد شوية
+
+214
+00:21:34,310 --> 00:21:37,910
+شوية شوية شوية ال slope بيصل ل maximum value بعدين
+
+215
+00:21:37,910 --> 00:21:43,110
+مبدأيش يقل ال slope لحد ما يصل ل zeroفهيك وصلت ل
+
+216
+00:21:43,110 --> 00:21:47,310
+maximum و عند ال T equals second displacement ايش
+
+217
+00:21:47,310 --> 00:21:54,290
+بالثانوية سفر معناته حكم بالكرم الدرجة التالتة هيك
+
+218
+00:21:54,290 --> 00:21:59,370
+انا عملت plot و analysis لان نجي نفهمها فيزيائيا
+
+219
+00:21:59,370 --> 00:22:08,870
+احنا حكينا هاي مركز الاهدثيات مركز الاهدثيات بدأ
+
+220
+00:22:08,870 --> 00:22:16,770
+من السكونبدأ من السكون و كانت سرعته اتزيد لحد
+
+221
+00:22:16,770 --> 00:22:24,850
+موصلت ل maximum موصل ل maximum بعدين ضل وماشي بس
+
+222
+00:22:24,850 --> 00:22:32,790
+سرعته بتقل لحد موصل لأبعد نقطة بعدين
+
+223
+00:22:32,790 --> 00:22:36,610
+إيش صار؟ صار يرجع
+
+224
+00:22:39,450 --> 00:22:45,970
+لحد ما وصلت ستة second رجع إلى المركز هو ماشي على
+
+225
+00:22:45,970 --> 00:22:49,390
+خط مستقيم معناته اللي يعني انه ماشي على خط مستقيم
+
+226
+00:22:49,390 --> 00:22:53,050
+ان اذا هتتغير معنى الزمن بشكل خطي لأ ما اتغيرت
+
+227
+00:22:53,050 --> 00:23:02,250
+بشكل خطي واضحات؟ طيب لما ندرس الحركة لل particles
+
+228
+00:23:02,250 --> 00:23:07,480
+ممكن اصنف الحركة لتلت أنواع ان هو الأول الحركةإن
+
+229
+00:23:07,480 --> 00:23:13,980
+العجلة بتكون دالة مع الزمن a is a function of t او
+
+230
+00:23:13,980 --> 00:23:16,580
+ال acceleration is a function of position a is a
+
+231
+00:23:16,580 --> 00:23:21,020
+function of x او ال acceleration is a function of
+
+232
+00:23:21,020 --> 00:23:25,200
+velocity هنشوف الحالة الأولى إذا كانت ال
+
+233
+00:23:25,200 --> 00:23:25,720
+acceleration
+
+234
+00:23:41,040 --> 00:23:47,880
+الـ acceleration is a function of time عندي ال ..
+
+235
+00:23:47,880 --> 00:23:53,100
+ال acceleration is a function of time و ال
+
+236
+00:23:53,100 --> 00:23:58,900
+acceleration فارع عن DV by DT صح؟ يعني لو ضربت
+
+237
+00:23:58,900 --> 00:24:04,900
+الطرفين ب DT بيصير عندي DV
+
+238
+00:24:04,900 --> 00:24:18,380
+بالساوئ F of TDT لو باخد الـ integral من سفر ل any
+
+239
+00:24:18,380 --> 00:24:24,540
+time T وهي من V node ل V function of T بعمل
+
+240
+00:24:24,540 --> 00:24:29,480
+integration وقول ان V as a function of time minus
+
+241
+00:24:29,480 --> 00:24:40,750
+V node بس هو تكامل من سفر ل T ل F of TDT الان ال V
+
+242
+00:24:40,750 --> 00:24:51,150
+as a function of time عبارة عن DX by DT يعني هكون
+
+243
+00:24:51,150 --> 00:25:00,170
+دي DX بيساوي V of T DT اذا بعمل integral من X node
+
+244
+00:25:00,170 --> 00:25:06,950
+ل X as a function of T وهين ال T من صفر
+
+245
+00:25:10,020 --> 00:25:19,680
+لـ T يعني هكون اندي X of T minus X node هيكون
+
+246
+00:25:19,680 --> 00:25:29,460
+تكامل لل V of T DT و T تتغير من 0 ل T يعني طالما
+
+247
+00:25:29,460 --> 00:25:34,880
+عرفت ال acceleration استطعت أجد المعادلة تاعت ال
+
+248
+00:25:34,880 --> 00:25:39,100
+velocityعرفت ال velocity او جدت المعادلة بتاعة
+
+249
+00:25:39,100 --> 00:25:44,980
+الإزاحة شوف
+
+250
+00:25:44,980 --> 00:25:52,400
+الحالة التانية الحالة
+
+251
+00:25:52,400 --> 00:25:58,840
+التانية ال acceleration is a function of x ال a is
+
+252
+00:25:58,840 --> 00:26:05,520
+a function of x و اللي احنا عارفينه هو dv
+
+253
+00:26:08,390 --> 00:26:15,930
+على دي تي صح دي في على دي تي حاضره البسط ب دي اكس
+
+254
+00:26:15,930 --> 00:26:23,650
+على دي اكس اي دي اكس على دي اكس هذا ال term لحالش
+
+255
+00:26:23,650 --> 00:26:33,450
+هو V يعني هتكون ساوى V دي V ع دي اكس يعني هسيب
+
+256
+00:26:33,450 --> 00:26:46,530
+عندي V دي Vبس لو F of X دي X بس بعمل تكامل من X
+
+257
+00:26:46,530 --> 00:26:55,730
+node ل X وهي من V node ل V as a function of X
+
+258
+00:26:55,730 --> 00:27:03,670
+بيصير بالحالة هذه حيث يصير عنده تكامل V دي V اللي
+
+259
+00:27:03,670 --> 00:27:14,620
+هي V² حيث يكون عنده نصV of X تربيع minus نص V node
+
+260
+00:27:14,620 --> 00:27:29,140
+تربيع ستكون تكامل X node ل X لل F of X DX هي اوجدت
+
+261
+00:27:29,140 --> 00:27:36,240
+السرعة as a function of X الحالة التالتة
+
+262
+00:27:38,830 --> 00:27:43,350
+ان تكون ال acceleration function
+
+263
+00:27:43,350 --> 00:27:51,590
+of velocity ال A function
+
+264
+00:27:51,590 --> 00:28:02,790
+of velocity نعرفين ال A برضه يستوى DV على DT يعني
+
+265
+00:28:02,790 --> 00:28:06,870
+بتعمل separation of variables هيكون ان ال DV
+
+266
+00:28:10,080 --> 00:28:17,000
+على F of V بساوى
+
+267
+00:28:17,000 --> 00:28:28,380
+DT معاها من Zero ل T وهي من V node ل V يعني هكون
+
+268
+00:28:28,380 --> 00:28:40,020
+عند ال T بساوى تكامل من V nodeل V ل DV على ال F of
+
+269
+00:28:40,020 --> 00:28:50,220
+V هاي الطريقة او بعدين هحكي والله A A
+
+270
+00:28:50,220 --> 00:28:53,560
+بيستوى
+
+271
+00:28:53,560 --> 00:29:02,760
+F of V بيستوى V DV على DX يعني انا هسير عنده
+
+272
+00:29:05,500 --> 00:29:16,300
+VDV على F of V بالساوية DX بعمل تلك الامر من X
+
+273
+00:29:16,300 --> 00:29:26,580
+node ل X وهي من V node ل V يعني بالصراحة انتx
+
+274
+00:29:26,580 --> 00:29:37,480
+minus x node سوى التكامل من v node ل v ل v dv على
+
+275
+00:29:37,480 --> 00:29:45,580
+f of v في
+
+276
+00:29:45,580 --> 00:29:51,900
+أي سؤال طيب هنحل مثال
+
+277
+00:30:05,780 --> 00:30:10,660
+a ball tossed with ten meters per second vertical
+
+278
+00:30:10,660 --> 00:30:14,620
+velocity from around twenty meters above the
+
+279
+00:30:14,620 --> 00:30:23,040
+ground فى عندى مبنى من أحد الشبابيك شخص حدف كورة
+
+280
+00:30:23,040 --> 00:30:28,420
+لأعلى الشباب طبعا ارتفاعه عن الأرض عشرين متر حدف
+
+281
+00:30:28,420 --> 00:30:32,240
+كورة بسرعة بتدقيق عشرة متر per second لأعلى
+
+282
+00:30:34,940 --> 00:30:39,760
+determine velocity and elevation above the ground
+
+283
+00:30:39,760 --> 00:30:45,220
+at time يعني أجد كيف تتغير السرعة و ارتفاع الكورة
+
+284
+00:30:45,220 --> 00:30:51,700
+مع الزمن مثال زيك لازم انا ارسم يعني لازم احدد هاي
+
+285
+00:30:51,700 --> 00:31:01,800
+عندي hidden reference وهاي
+
+286
+00:31:01,800 --> 00:31:08,200
+ال y axisالكورة في البداية كانت في البداية موقعها
+
+287
+00:31:08,200 --> 00:31:11,260
+كانت
+
+288
+00:31:11,260 --> 00:31:17,160
+وي نود بتساوي عشرين متر في البداية وكانت سرعتها
+
+289
+00:31:17,160 --> 00:31:24,400
+البداية v نود عشرة متر per second طبعا لما رميت
+
+290
+00:31:24,400 --> 00:31:28,340
+الكورة على فرض أنها مانا مقامة الهواء هتكون الكورة
+
+291
+00:31:28,340 --> 00:31:32,280
+تحت تأثير الجاذبية يعني ال acceleration هتكون
+
+292
+00:31:32,280 --> 00:31:34,440
+قيمتها ثالثة ال a
+
+293
+00:31:38,440 --> 00:31:48,340
+لتحت هتكون سالب تسعة point تمانية سفر ستة اللي هي
+
+294
+00:31:48,340 --> 00:31:56,660
+متر per second square هذا ال A هذا
+
+295
+00:31:56,660 --> 00:32:00,320
+شو يساوي DV
+
+296
+00:32:00,320 --> 00:32:06,720
+by DT يعني DV
+
+297
+00:32:10,990 --> 00:32:17,570
+هتساوي minus 9 DT
+
+298
+00:32:17,570 --> 00:32:30,190
+هعمل تكامل V نود اللي هي عشرة من عشرة بداية ل V و
+
+299
+00:32:30,190 --> 00:32:38,010
+هنا بدأ الزمن من صفر ل T تكامل DV من عشرة ل V
+
+300
+00:32:38,010 --> 00:32:48,200
+هيكون عندV minus عشرة بتساوي سالب تسعة بون تمانية
+
+301
+00:32:48,200 --> 00:32:58,000
+سفر ستة T يعني هكون دي V بتساوي عشرة minus تسعة
+
+302
+00:32:58,000 --> 00:33:04,940
+بون تمانية سفر ستة T اين احكي اي معادلة؟ واحد طيب
+
+303
+00:33:04,940 --> 00:33:15,600
+ال acceleration ايش ساوي؟او ال y او ال v بتساوي dy
+
+304
+00:33:15,600 --> 00:33:25,460
+by dt بتساوي عشرة minus تسعة عبون تمانية سفر ستة t
+
+305
+00:33:25,460 --> 00:33:33,780
+يعني انا هتصير عنده dy بتساوي
+
+306
+00:33:35,040 --> 00:33:44,080
+عشرة minus تسعة point تمانية سفر ستة T دي T هعمل
+
+307
+00:33:44,080 --> 00:33:54,300
+التكاوم من صفر ل T و ال Y من Y نض اللي هي عشرين ل
+
+308
+00:33:54,300 --> 00:34:05,570
+Y يعني هتطلع النتيجة Y minus عشرين هتسوى عشرةT
+
+309
+00:34:05,570 --> 00:34:21,910
+minus 4 point 9 0 3 T تربيع يعني ال Y هتساوي
+
+310
+00:34:21,910 --> 00:34:35,550
+20 زائد 10 T ناطس 4 point 903 T تربيعهذا المطلوب
+
+311
+00:34:35,550 --> 00:34:40,050
+الأول المطلوب التاني بيسأل you the highest
+
+312
+00:34:40,050 --> 00:34:42,890
+elevation reached by the ball and corresponding
+
+313
+00:34:42,890 --> 00:34:51,470
+time ايش أقصر تفاهم أنك تصل الكرة ماناته
+
+314
+00:34:51,470 --> 00:34:56,890
+at maximum elevation
+
+315
+00:35:00,280 --> 00:35:08,260
+بكون ان ال V ساوة Zero يعني
+
+316
+00:35:08,260 --> 00:35:15,520
+هكون عشرة minus تسعة point تمانية سفر ستة T ساعة
+
+317
+00:35:15,520 --> 00:35:23,420
+سفر يعني T ال T maximum elevation ايش هو الساوية
+
+318
+00:35:23,420 --> 00:35:28,220
+عشرة على تسعة point تمانية سفر ستة هتطلع واحد
+
+319
+00:35:28,220 --> 00:35:35,920
+point Oع كام؟ one nine three point o nine one nine
+
+320
+00:35:35,920 --> 00:35:44,220
+three one nine three one nine three
+
+321
+00:35:44,220 --> 00:35:47,460
+point o nine one nine three point o nine one nine
+
+322
+00:35:47,460 --> 00:35:47,480
+three point o nine one nine three point o nine one
+
+323
+00:35:47,480 --> 00:35:49,600
+nine one nine three point o nine one nine three
+
+324
+00:35:49,600 --> 00:35:51,300
+point o nine one nine three point o nine one nine
+
+325
+00:35:51,300 --> 00:35:51,340
+three point o nine one nine three point o nine one
+
+326
+00:35:51,340 --> 00:35:59,000
+nine nine three point o nine one nine nine nine
+
+327
+00:35:59,000 --> 00:35:59,040
+nine nine nine nine nine nine nine nine nine nine
+
+328
+00:35:59,040 --> 00:35:59,060
+nine nine nine nine nine nine nine nine nine nine
+
+329
+00:35:59,060 --> 00:35:59,120
+nine nine nine nine nine nine nine nine nine nine
+
+330
+00:35:59,120 --> 00:36:05,700
+nineعوض معادل اتنين y maximum هتكون تسعة و عشرين
+
+331
+00:36:05,700 --> 00:36:12,480
+زاد عشرة في واحد point او واحد تسعة تلاتة ناقص
+
+332
+00:36:12,480 --> 00:36:17,700
+اربع point تسعة سفر تلاتة في واحد point او واحد
+
+333
+00:36:17,700 --> 00:36:23,220
+تسعة تلاتة تربيع تحطيني ال maximum elevation
+
+334
+00:36:23,220 --> 00:36:28,460
+reached by the ball اكثر اتفاع وصلتله الكورة
+
+335
+00:36:45,620 --> 00:36:47,580
+مطلوب التالت
+
+336
+00:36:51,570 --> 00:36:54,810
+find the time when the ball will hit the ground
+
+337
+00:36:54,810 --> 00:36:59,430
+and the corresponding ballistic wave زمان عندما
+
+338
+00:36:59,430 --> 00:37:04,190
+ترتطم الكورة في الأرض طيب متى ترتطم الكورة في
+
+339
+00:37:04,190 --> 00:37:15,030
+الأرض لمان واي سوى سفر نحكي the ball hits the
+
+340
+00:37:15,030 --> 00:37:19,930
+ground when
+
+341
+00:37:23,340 --> 00:37:33,180
+Y ساوة سفر هتساوى اللي هي عشرين زائد
+
+342
+00:37:33,180 --> 00:37:41,670
+عشرة T ناقص اربعة point تسعة سفر تلاتة T تربيعخلّي
+
+343
+00:37:41,670 --> 00:37:45,270
+أبدّل المعادلة أقسم على minus واحد حيث أن عندي
+
+344
+00:37:45,270 --> 00:37:53,910
+أربع bond تسعة سفر تلاتة T تربيع ناقص عشرة T ناقص
+
+345
+00:37:53,910 --> 00:38:01,290
+عشرين بالساوي سفر هذا معادلة من درجة التانية ممكن
+
+346
+00:38:01,290 --> 00:38:05,810
+أوجد الجذور بتاعتها باستخدام معادلة نيوتن صح؟
+
+347
+00:38:05,810 --> 00:38:08,910
+مظبوط فاكري المعادلة؟
+
+348
+00:38:12,500 --> 00:38:20,460
+عندك المعادلة a x تربيع زائد b x زائد c بالساوية
+
+349
+00:38:20,460 --> 00:38:28,960
+صفر يعني جذور ال X هتكون minus b زائد او ناقص
+
+350
+00:38:28,960 --> 00:38:35,480
+الجذر التربيعي اللي بيه تربيع ناقص اربعة a c كله
+
+351
+00:38:35,480 --> 00:38:40,880
+على اتنين a مظهور؟
+
+352
+00:38:42,270 --> 00:38:47,690
+يعني نعوض هنا معينة ال T عند ال B اللي هي ناقص
+
+353
+00:38:47,690 --> 00:38:52,930
+عشرة وال C ناقص عشرين وال A اللي هي أربعة بون تسعة
+
+354
+00:38:52,930 --> 00:38:58,670
+سفر تلاتة معينة ال T هتكون
+
+355
+00:38:58,670 --> 00:39:02,570
+تساوي عشرة
+
+356
+00:39:02,570 --> 00:39:10,990
+طبعا عند زائد أو ناقص الجزر التربيع إلى عشرة تربيع
+
+357
+00:39:14,780 --> 00:39:21,000
+الناقص اربعة في موجة في ساعة ناقص ناقص زائد صح؟
+
+358
+00:39:21,000 --> 00:39:29,220
+زائد اربعة في اربعة بون تسعة سفر تلاتة في عشرين
+
+359
+00:39:32,180 --> 00:39:42,160
+على اتنين فى اربعة point تسعة سفر تلاتة طبعا اللى
+
+360
+00:39:42,160 --> 00:39:50,060
+تحت الجدر واضح اكبر من العشرة صح؟ معناته اذا خلت
+
+361
+00:39:50,060 --> 00:39:54,100
+minus هتصبح زي ما ال minus زي ما مرجعش لورا معناته
+
+362
+00:39:54,100 --> 00:39:58,800
+هتكون بس and plus هتكون عشرة plus
+
+363
+00:40:07,980 --> 00:40:14,880
+احسبولي ايها اتنين فاصلة تلاشرين بدها تكون متجانس
+
+364
+00:40:14,880 --> 00:40:23,200
+في العدد الأرقام اتنين فاصلة اتنين اتنين تلاتة
+
+365
+00:40:23,200 --> 00:40:27,920
+بيعني تخليها زي هيك second
+
+366
+00:40:33,880 --> 00:40:38,100
+طبعا الكورة هترتطن بالأرض بسرعة لإن الناس ده سقوط
+
+367
+00:40:38,100 --> 00:40:47,980
+حر بحسب السرعة بدي أسميها TH هسب VH اللي هي هعوض
+
+368
+00:40:47,980 --> 00:40:50,200
+على عشرة
+
+369
+00:40:52,160 --> 00:40:58,260
+مناقص تسعة point تمانية سفر ستة في اتنين point
+
+370
+00:40:58,260 --> 00:41:04,960
+اتنين اتنين تلاتة ومنها بوجد سرعة الارتطام في
+
+371
+00:41:04,960 --> 00:41:08,680
+الأرض سالب
+
+372
+00:41:08,680 --> 00:41:12,540
+point
+
+373
+00:41:18,400 --> 00:41:30,400
+meter per second يعني في عكس اتجاه ال y axis طيب
+
+374
+00:41:30,400 --> 00:41:35,360
+في اي سؤال ال y max خمسة و عشرين يعني هي بعد ما
+
+375
+00:41:35,360 --> 00:41:43,520
+اتدت ولا كانت ال y max خمسة و عشرين بدأت ناشي انا
+
+376
+00:41:43,520 --> 00:41:48,470
+هدفتها الاعلىهيكون الأعلى حدثها بيبقى مين هيعكسها
+
+377
+00:41:48,470 --> 00:41:53,610
+جاذبية جاذبية هتظلها تنقص السرعة تابع الانقاص،
+
+378
+00:41:53,610 --> 00:41:56,670
+انقاص للسرعة لحد ما تصل إيش السرعة سفر، ما تصل
+
+379
+00:41:56,670 --> 00:41:58,990
+السرعة سفر، بيبقى مانت مش هتقدر تكمل، ففكرت لتحت
+
+380
+00:41:58,990 --> 00:42:01,550
+وفكرت خارج السرعة؟ لأ، لأ، لأ، أي أنا مابين السرعة
+
+381
+00:42:01,550 --> 00:42:07,110
+بالأعلى سؤال
+
+382
+00:42:07,110 --> 00:42:10,230
+تاني؟ اللي اتكلمت معاك عن اتجاه ال acceleration
+
+383
+00:42:10,230 --> 00:42:18,920
+كيف تكون اتجاه ال acceleration؟لتحت دايما
+
+384
+00:42:18,920 --> 00:42:26,560
+لتحت ال exploration قيمتها ثابتة في الحالة هذه ما
+
+385
+00:42:26,560 --> 00:42:29,500
+هو قيمه والاتجاه بتاعتها ثابتة دايما الأرض بتشدك
+
+386
+00:42:29,500 --> 00:42:34,420
+لتحت هل هتعكس الأرض تحكي لك اروح اطلع؟ لأ بتشدك
+
+387
+00:42:34,420 --> 00:42:35,020
+لتحت دايما
+
+388
+00:42:38,470 --> 00:42:41,670
+أضف لأعلى، الجاذبية بتكون بالساقية، بتعكس الأجازة
+
+389
+00:42:41,670 --> 00:42:45,550
+لتحت، أيوة بتكون بالتحشر الساقية بقى، ايوة و لما
+
+390
+00:42:45,550 --> 00:42:48,430
+.. مثلا يرمي نتحت برضه بالساقية والجاذبية إيش
+
+391
+00:42:48,430 --> 00:42:54,310
+رأيك؟ أنت الجاذبية و أنت ترمي لتحت بتساعدك ولا
+
+392
+00:42:54,310 --> 00:42:59,030
+بتعكسك؟ بتزود السرعة بتساعدك، هي لتحت دايما و أنت
+
+393
+00:42:59,030 --> 00:43:03,190
+رميت لتحت، معناته هتعطيلك دفع أكتر، مصطلح الحركة،
+
+394
+00:43:03,190 --> 00:43:04,230
+مصطلح الحركة، مصطلح الحركة، مصطلح الحركة، مصطلح
+
+395
+00:43:04,230 --> 00:43:08,890
+الحركة، مصطلح الحركة، مصطلح الحركة،لو أنت أسقطتش
+
+396
+00:43:08,890 --> 00:43:14,910
+من دون أي سرعة، بس أسقطه، بأخذ سرعة، ليش؟ في اتصار
+
+397
+00:43:14,910 --> 00:43:27,810
+اللي تحت، بالسرعة، بقى كده أنا أبدأ بسرعة كمان
+
+398
+00:43:27,810 --> 00:43:30,390
+مرة السؤال؟ يعني مش هاجدته هو اتصار الجاذبية
+
+399
+00:43:30,390 --> 00:43:34,000
+الأرضيةلا تحت اثارة جاذبية ارضية طب القوة اللى
+
+400
+00:43:34,000 --> 00:43:37,060
+أثرت عليها بتعطيها وسهر للباطن كده في زرعية شرعية
+
+401
+00:43:37,060 --> 00:43:42,280
+هو ليش بتثار على تحت؟ عشان جاذبية free fall يعني
+
+402
+00:43:42,280 --> 00:43:47,420
+يعني يعني ايش عن جاذبية؟ القوة الارض فيه قوة جاذبة
+
+403
+00:43:47,420 --> 00:43:51,860
+تشدك اللى هو الوزن اللى هو تحت تأثير الوزن فاهم بس
+
+404
+00:43:51,860 --> 00:43:55,440
+قبل ساعتين زى ما يطلع عشان ماشي بس انا اعطيته انا
+
+405
+00:43:55,440 --> 00:43:58,900
+اعطيته طاقة انه حدافته لأعلى طب الطاقة مش بسببله
+
+406
+00:43:58,900 --> 00:44:03,160
+اتثارة؟الطاقة انا بديت .. بديت اعطيته الدفع الأولى
+
+407
+00:44:03,160 --> 00:44:06,940
+بعشرة متر و سبته تحت الثر الجاذبية الدفع هاد ..
+
+408
+00:44:06,940 --> 00:44:10,560
+ماشي الدفع هاد انا ماشغلتش معاه محرك مثلا محرك
+
+409
+00:44:10,560 --> 00:44:14,480
+نفاذ عشان احافظ السرعة مثلا او ازودها انا اعطيته
+
+410
+00:44:14,480 --> 00:44:18,960
+الدفع الأولى زي مقظوفة كأنه اعطيته الدفع الأولى و
+
+411
+00:44:18,960 --> 00:44:22,300
+سبته خلاص اللي هي قوة يعني اللي هي قوة طبعا قوة
+
+412
+00:44:22,300 --> 00:44:25,500
+الدفع أولى لكن لو انا بدي احافظها السرعة مثلا سرعة
+
+413
+00:44:25,500 --> 00:44:32,110
+منتظرة مثلا بدي احطله مثلا صاروخ نفاذضل يطلع،
+
+414
+00:44:32,110 --> 00:44:37,250
+مظبوط؟ مش عجب ..معناته اتدخلت مؤثر خارجي بيحاول
+
+415
+00:44:37,250 --> 00:44:44,630
+إذا بده يطلع بسرعة ثابتة يساوي القوة اللي جانه
+
+416
+00:44:44,630 --> 00:44:51,450
+الجاذبية، إذا بدي يصير يسرع، بزود قوة الدفع من
+
+417
+00:44:51,450 --> 00:44:52,810
+الصاروخ النفاذ، مظبوط؟
+
+418
+00:44:56,300 --> 00:45:01,040
+أيوة ايوة و هو في الان و هو في عندك الجاذبية هنجيه
+
+419
+00:45:01,040 --> 00:45:04,740
+لهدف في الجزية ال kinetics يعني كيف نحسب ال
+
+420
+00:45:04,740 --> 00:45:08,680
+acceleration حاليا احنا بندرس ال kinematics بدون
+
+421
+00:45:08,680 --> 00:45:15,000
+التطرق للمسبب تعمل free body diagram و تحسب ال
+
+422
+00:45:15,000 --> 00:45:22,940
+acceleration net acceleration انا
+
+423
+00:45:22,940 --> 00:45:29,460
+ماحكتش زي هيكانت اللي هكذا هيك انا بحكيلك ان هو
+
+424
+00:45:29,460 --> 00:45:34,500
+انا قدفته و سبته تحت اثر جاذبية بتضل هي تحاول
+
+425
+00:45:34,500 --> 00:45:40,540
+تعمله تساره لتحت تحاول تقلل سرعته بمعدل متناقص اذا
+
+426
+00:45:40,540 --> 00:45:44,460
+هو طالع هو بيطلع بمعدل متناقص لحد ما تصل سرعته
+
+427
+00:45:44,460 --> 00:45:53,560
+لصفر بعدين هينزل بمعدل متسارع لأسفلبنفس المعدل بس
+
+428
+00:45:53,560 --> 00:45:57,820
+لأسفل في الحالتين انا بقلل .. هو طالع بقلل سرعته
+
+429
+00:45:57,820 --> 00:46:03,200
+بنفس .. بس بمعدل 9.8 يعني هي عادة الصح تكتب ال
+
+430
+00:46:03,200 --> 00:46:09,780
+acceleration زي هيك هو
+
+431
+00:46:09,780 --> 00:46:13,920
+الصح فيزيائيا انك
+
+432
+00:46:13,920 --> 00:46:21,790
+تحكي الجاذبية الأرضيةالـ A بساوية تسعة point
+
+433
+00:46:21,790 --> 00:46:34,570
+تمانية سفر ستة متر per second يعني
+
+434
+00:46:34,570 --> 00:46:41,750
+انا بحكي انا بعمل تسارع السرعة هذه السرعة بتقيل
+
+435
+00:46:41,750 --> 00:46:44,910
+بمعدل تسعة point تمانية سفر ستة متر per second في
+
+436
+00:46:44,910 --> 00:46:46,710
+كل ثانية انا بغير السرعة
+
+437
+00:46:49,550 --> 00:46:59,570
+ال V جاي لحاله بيساوي مثلا عشرة متر مثلا per
+
+438
+00:46:59,570 --> 00:47:10,410
+second كل عشر ثوانه بكون ماشي عشرة متر، واضحات؟ بس
+
+439
+00:47:10,410 --> 00:47:16,190
+هنا تسليلا تكتبالـ A سواء تسعة point تمانية سفر
+
+440
+00:47:16,190 --> 00:47:22,130
+ستة meter per second square بس و الأكتر دقة هذه
+
+441
+00:47:22,130 --> 00:47:25,150
+واضح
+
+442
+00:47:25,150 --> 00:47:30,010
+أنا بحكي أنا بحكي أنا بغير سرعة أنا هذه وحدات
+
+443
+00:47:30,010 --> 00:47:34,910
+السرعة في الثانية بغير تسعة وتسعة متر في الثانية
+
+444
+00:47:34,910 --> 00:47:39,450
+كل ثانية سؤال
+
+445
+00:47:39,450 --> 00:47:39,810
+تاني
+
+446
+00:47:42,810 --> 00:47:44,790
+هك نكون خلصنا الكلعة يعني
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Mnwh5wdaxME_raw.json b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Mnwh5wdaxME_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..c3258f2b3d097134e7a41df6228d2b36a24fd011
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Mnwh5wdaxME_raw.json
@@ -0,0 +1 @@
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المركز بتكون السالبة فعشان دراست أي حركة كان اسوان كانت على خط مستقيم أو على منحنة لازم أعرف مرجع أو محاور إحداثيات الآن الجسم هاي مركز إحداثيات هاي المحور الأفقي X", "tokens": [2304, 29245, 49401, 11933, 15730, 9122, 29399, 15844, 25124, 2304, 6027, 9673, 31747, 11622, 39894, 30544, 21136, 6027, 49401, 6156, 3615, 8592, 7649, 11778, 23557, 14851, 36632, 11331, 31747, 3660, 25961, 24525, 2407, 7649, 25961, 2655, 15844, 16490, 9566, 3714, 14851, 4587, 32640, 34051, 15844, 9154, 5016, 1863, 3660, 5296, 31377, 2304, 5551, 3615, 28480, 3714, 47341, 3615, 34051, 3714, 5016, 995, 13063, 11933, 24401, 5718, 104, 1829, 9307, 6024, 48506, 25724, 38251, 8032, 47302, 3714, 31747, 11622, 11933, 24401, 5718, 104, 1829, 9307, 8032, 47302, 9673, 5016, 13063, 16247, 5172, 38436, 1783], "avg_logprob": -0.14270279651626627, "compression_ratio": 1.8387096774193548, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 301.74, "end": 302.32, "word": "موجبة", "probability": 0.5924479166666666}, 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زمن قيمته T كان ال particle عند نقطة P بعد time increment Delta T يعني زمن صار T زي Delta T صار عند نقطة P Prime معناته ماشي من T ل T plus Delta T ماشي مسافة إزاحة Delta X السرعة المتوسطة", "tokens": [3615, 41260, 27188, 2655, 25720, 43242, 5296, 5016, 19913, 3660, 19446, 25961, 30767, 27842, 12174, 32640, 47395, 314, 25961, 2423, 12359, 43242, 8717, 47432, 3660, 430, 39182, 565, 26200, 18183, 314, 37495, 22653, 30767, 27842, 20328, 9640, 314, 30767, 1829, 18183, 314, 20328, 9640, 43242, 8717, 47432, 3660, 430, 9655, 20449, 8315, 47395, 3714, 33599, 1829, 9154, 314, 5296, 314, 1804, 18183, 314, 3714, 33599, 1829, 47524, 31845, 3660, 11933, 11622, 39319, 3660, 18183, 1783, 21136, 2288, 27884, 9673, 2655, 41779, 9566, 3660], "avg_logprob": -0.18656993870224273, "compression_ratio": 1.6377551020408163, "no_speech_prob": 0.0, "words": [{"start": 329.08, "end": 329.48, "word": "عند", "probability": 0.919189453125}, {"start": 329.48, "end": 330.0, "word": " الفترة", "probability": 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"text": "meter per second و هنا الإذاعة XM بالمتر ال time equal zero كانت ال X صفر هذه النقطة صح؟ و السرعة كانت بدأ من السكون هذه النقطة و ال acceleration كانت اتناش", "tokens": [33058, 680, 1150, 4032, 34105, 33688, 15730, 27884, 1783, 44, 20666, 2304, 2655, 2288, 2423, 565, 2681, 4018, 25961, 2655, 2423, 1783, 20328, 5172, 2288, 29538, 28239, 47432, 3660, 20328, 5016, 22807, 4032, 21136, 2288, 27884, 25961, 2655, 47525, 10721, 9154, 21136, 30544, 29538, 28239, 47432, 3660, 4032, 2423, 17162, 25961, 2655, 1975, 2655, 1863, 33599], "avg_logprob": -0.2985197326593232, "compression_ratio": 1.4484848484848485, "no_speech_prob": 8.940696716308594e-07, "words": [{"start": 1051.56, "end": 1052.02, "word": "meter", "probability": 0.2462158203125}, {"start": 1052.02, "end": 1052.66, "word": " per", "probability": 0.94921875}, {"start": 1052.66, "end": 1053.34, "word": " second", "probability": 0.91455078125}, {"start": 1053.34, "end": 1054.34, "word": " و", "probability": 0.61083984375}, 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0.9326171875}, {"start": 2838.47, "end": 2839.09, "word": " second", "probability": 0.93994140625}, {"start": 2839.09, "end": 2840.07, "word": " square", "probability": 0.4990234375}, {"start": 2840.07, "end": 2840.77, "word": " بس", "probability": 0.849609375}, {"start": 2840.77, "end": 2840.89, "word": " و", "probability": 0.433837890625}, {"start": 2840.89, "end": 2841.25, "word": " الأكتر", "probability": 0.9647216796875}, {"start": 2841.25, "end": 2841.61, "word": " دقة", "probability": 0.936767578125}, {"start": 2841.61, "end": 2842.13, "word": " هذه", "probability": 0.435791015625}, {"start": 2842.13, "end": 2845.15, "word": " واضح", "probability": 0.95849609375}, {"start": 2845.15, "end": 2845.81, "word": " أنا", "probability": 0.1676025390625}, {"start": 2845.81, "end": 2847.51, "word": " بحكي", "probability": 0.8828125}, {"start": 2847.51, "end": 2847.63, "word": " أنا", "probability": 0.59765625}, {"start": 2847.63, "end": 2847.93, "word": " بحكي", "probability": 0.8665771484375}, {"start": 2847.93, "end": 2848.05, "word": " أنا", "probability": 0.76708984375}, {"start": 2848.05, "end": 2848.33, "word": " بغير", "probability": 0.98681640625}, {"start": 2848.33, "end": 2848.73, "word": " سرعة", "probability": 0.9441731770833334}, {"start": 2848.73, "end": 2849.57, "word": " أنا", "probability": 0.5537109375}, {"start": 2849.57, "end": 2849.73, "word": " هذه", "probability": 0.453125}, {"start": 2849.73, "end": 2850.01, "word": " وحدات", "probability": 0.7921549479166666}, {"start": 2850.01, "end": 2850.49, "word": " السرعة", "probability": 0.97509765625}, {"start": 2850.49, "end": 2851.65, "word": " في", "probability": 0.78369140625}, {"start": 2851.65, "end": 2852.09, "word": " الثانية", "probability": 0.982177734375}, {"start": 2852.09, "end": 2852.51, "word": " بغير", "probability": 0.970703125}, {"start": 2852.51, "end": 2852.75, "word": " تسعة", "probability": 0.9744466145833334}, {"start": 2852.75, "end": 2852.91, "word": " وتسعة", "probability": 0.5556640625}, {"start": 2852.91, "end": 2854.21, "word": " متر", "probability": 0.6531982421875}, {"start": 2854.21, "end": 2854.37, "word": " في", "probability": 0.91845703125}, {"start": 2854.37, "end": 2854.91, "word": " الثانية", "probability": 0.884521484375}, {"start": 2854.91, "end": 2855.59, "word": " كل", "probability": 0.97021484375}, {"start": 2855.59, "end": 2856.41, "word": " ثانية", "probability": 0.99560546875}, {"start": 2856.41, "end": 2859.45, "word": " سؤال", "probability": 0.8982747395833334}, {"start": 2859.45, "end": 2859.81, "word": " تاني", "probability": 0.91015625}], "temperature": 1.0}, {"id": 104, "seek": 286479, "start": 2862.81, "end": 2864.79, "text": "هك نكون خلصنا الكلعة يعني", "tokens": [3224, 4117, 8717, 30544, 16490, 1211, 9381, 8315, 2423, 28820, 27884, 37495, 22653], "avg_logprob": -0.4093191942998341, "compression_ratio": 0.8846153846153846, "no_speech_prob": 0.0, "words": [{"start": 2862.81, "end": 2863.11, "word": "هك", "probability": 0.755126953125}, {"start": 2863.11, "end": 2863.49, "word": " نكون", "probability": 0.7025146484375}, {"start": 2863.49, "end": 2864.11, "word": " خلصنا", "probability": 0.97265625}, {"start": 2864.11, "end": 2864.63, "word": " الكلعة", "probability": 0.4536946614583333}, {"start": 2864.63, "end": 2864.79, "word": " يعني", "probability": 0.718994140625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2864.85475, "duration_after_vad": 2640.7574999999915}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Mnwh5wdaxME_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Mnwh5wdaxME_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2f03f5348a3b69a331ee278b28ed93136dff85e2
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Mnwh5wdaxME_raw.srt
@@ -0,0 +1,1828 @@
+1
+00:00:05,470 --> 00:00:08,370
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,370 --> 00:00:12,330
+وبركاته اليوم هنبدأ أول محاضراتنا في مادة ال
+
+3
+00:00:12,330 --> 00:00:17,390
+dynamica هنبدأ ب chapter 11 kinematics of
+
+4
+00:00:17,390 --> 00:00:22,590
+particles طبعا
+
+5
+00:00:22,590 --> 00:00:27,910
+في البداية هنعطي بعض التعريفات الأساسية اللي لازم
+
+6
+00:00:27,910 --> 00:00:30,790
+يكون عرفينا في مادة ال dynamica أول شيء خلينا نعرف
+
+7
+00:00:30,790 --> 00:00:34,890
+في ال mechanicsالـ mechanics طبعا هي العلم اللي
+
+8
+00:00:34,890 --> 00:00:40,510
+بوصف و بتوقع حالات السكون، حركة للأجسام تحت تأثير
+
+9
+00:00:40,510 --> 00:00:46,150
+القوة ال mechanics ممكن أقسمها لتلت أقسام اللي هي
+
+10
+00:00:46,150 --> 00:00:49,590
+mechanics of rigid bodiesاللي هي ميكانيكا الأجسام
+
+11
+00:00:49,590 --> 00:00:54,350
+السائل جاسعة mechanics of deformable bodies هي
+
+12
+00:00:54,350 --> 00:00:58,810
+ميكانيكا الأجسام القابلة للتشوه تحت أثير الأحمال و
+
+13
+00:00:58,810 --> 00:01:03,730
+mechanics of fluids ميكانيكا المائعة احنا طبعا في
+
+14
+00:01:03,730 --> 00:01:07,250
+ال course هذا اهتمامنا في ميكانيكا الأجسام الجاسعة
+
+15
+00:01:07,250 --> 00:01:11,010
+mechanics of rigid bodies ال mechanics of rigid
+
+16
+00:01:11,010 --> 00:01:17,140
+bodies ممكن نقسمها لقسمين اللي هي ال staticsو ال
+
+17
+00:01:17,140 --> 00:01:20,680
+dynamics ال aesthetics هي دراسة الأجسام في حالة
+
+18
+00:01:20,680 --> 00:01:26,240
+السكون ال dynamics دراسة الأجسام في حالة الحركة ال
+
+19
+00:01:26,240 --> 00:01:30,200
+dynamics ممكن أقسمها لجزئين رئيسيين اللي هو ال
+
+20
+00:01:30,200 --> 00:01:35,000
+kinematics و الkinetics ال kinematics هي دراسة
+
+21
+00:01:35,000 --> 00:01:39,860
+هندسة الحركة هندسة الحركة أنا بدرس الإزاحة، السرعة
+
+22
+00:01:40,610 --> 00:01:46,490
+العجلة مع الزمن بدون التطرق للمسبب للحركة اللي هي
+
+23
+00:01:46,490 --> 00:01:49,690
+القوة اللي بتخل أي جسم تتحرك، أي جسم بتتحركش إلا
+
+24
+00:01:49,690 --> 00:01:54,910
+يكون له مؤثر خارجي عشان يحركه ال kinetics بربط
+
+25
+00:01:54,910 --> 00:02:00,550
+هندسة الحركة بالمسبب، بالقوة اللي هي في علاقة بين
+
+26
+00:02:00,550 --> 00:02:04,410
+القوة و الحركة فشش بتتحرك لحاله فهذه هي ال
+
+27
+00:02:04,410 --> 00:02:04,870
+kinetics
+
+28
+00:02:08,160 --> 00:02:11,740
+الديناميكا ممكن درسها على مستويين مستوى ال
+
+29
+00:02:11,740 --> 00:02:16,560
+particle level أو ال rigid body level المستوى ال
+
+30
+00:02:16,560 --> 00:02:23,940
+particle ممكن انه امثل الجسم تحت الدراسة بنقطة
+
+31
+00:02:23,940 --> 00:02:30,560
+ممكن تكون مركز ثقل يعني مثلا عندي كورة تسقط سقوط
+
+32
+00:02:30,560 --> 00:02:36,970
+حر في الجوبنانيش التفاصيل بعتقد مركز ثقة الكورة هي
+
+33
+00:02:36,970 --> 00:02:42,550
+الجسم فهذه بتكون مسألة على مستوى ال particle ممكن
+
+34
+00:02:42,550 --> 00:02:46,750
+السيارة بتطلع لها من بعيدبيهمنيش إيش جوا بتحرك قطع
+
+35
+00:02:46,750 --> 00:02:50,130
+ميكانيكية لكي ال mechanisms تتروس ما .. ما بيهمني
+
+36
+00:02:50,130 --> 00:02:55,290
+أنا شاف سيارة بتتحرك فباعتبرها إيش particle في ال
+
+37
+00:02:55,290 --> 00:02:58,050
+rigid body level بعض الأحيان بدي أدرس بعض القليات
+
+38
+00:02:58,050 --> 00:03:01,950
+مثلا بدي أدرس اللي هي ال slotted crank mechanism
+
+39
+00:03:01,950 --> 00:03:06,650
+جوا ال engine فبيهمني أدرس كل part على حده
+
+40
+00:03:06,650 --> 00:03:11,800
+فبالحالة دي بلزمني ال rigid body dynamicsاحنا طبعا
+
+41
+00:03:11,800 --> 00:03:15,160
+المادة في مقسمها لجزئين اللي هي dynamics of
+
+42
+00:03:15,160 --> 00:03:18,800
+particles و dynamics of rigid bodies أول تلاتة
+
+43
+00:03:18,800 --> 00:03:22,020
+chapters هتكون على dynamics of particles، التلاتة
+
+44
+00:03:22,020 --> 00:03:24,920
+chapter التانية هتكون على dynamics of rigid bodies
+
+45
+00:03:27,530 --> 00:03:31,270
+هنبدأ طبعا احنا في ال kinematics ال kinematics of
+
+46
+00:03:31,270 --> 00:03:35,610
+particles هنبدأ ندرس motion of particles ال
+
+47
+00:03:35,610 --> 00:03:41,690
+particle الحركة بتاعته ممكن تكون على خط مستقيم او
+
+48
+00:03:41,690 --> 00:03:47,710
+ممكن تكون على منحنى يعني ممكن ال particle يمشي على
+
+49
+00:03:47,710 --> 00:03:56,070
+خط مستقيم ممكن تكون الخط مستقيم أفق اورأسي أو
+
+50
+00:03:56,070 --> 00:04:02,030
+مائلي هذا بيسميه rectilinear motion الحركة على خط
+
+51
+00:04:02,030 --> 00:04:08,390
+مستقيم ممكن النوع التاني من الحركة الحركة على
+
+52
+00:04:08,390 --> 00:04:14,090
+منحنى ال particle ماشي على منحنى المنطق مش ماشي
+
+53
+00:04:14,090 --> 00:04:19,330
+على خط مستقيمcurvilinear motion معناته هيكون ان
+
+54
+00:04:19,330 --> 00:04:26,030
+الحركة على خط مستقيم والحركة على منحنة نبدأ في
+
+55
+00:04:26,030 --> 00:04:31,070
+دراسة اللي هو الجسيمات او ال particles على خط
+
+56
+00:04:31,070 --> 00:04:36,930
+مستقيم زي ما انتوا شايفين ان انا باين عندى المحور
+
+57
+00:04:36,930 --> 00:04:48,750
+X المحور X له مركز احدث هي Oفي جسم بمشي على محور X
+
+58
+00:04:48,750 --> 00:04:58,070
+في لحظة ما كان الجسم على نقطة P يبعد مسافة X إذا
+
+59
+00:04:58,070 --> 00:05:03,660
+كان على يمين المركز بتكون ال Xموجبة إذا كنت على
+
+60
+00:05:03,660 --> 00:05:09,620
+الشمال المركز بتكون السالبة فعشان دراست أي حركة
+
+61
+00:05:09,620 --> 00:05:14,180
+كان اسوان كانت على خط مستقيم أو على منحنة لازم
+
+62
+00:05:14,180 --> 00:05:21,500
+أعرف مرجع أو محاور إحداثيات الآن
+
+63
+00:05:21,500 --> 00:05:29,480
+الجسم هاي مركز إحداثيات هاي المحور الأفقي Xعند
+
+64
+00:05:29,480 --> 00:05:35,240
+الفترة عند لحظة ما كان زمن قيمته T كان ال particle
+
+65
+00:05:35,240 --> 00:05:40,180
+عند نقطة P بعد time increment Delta T يعني زمن صار
+
+66
+00:05:40,180 --> 00:05:46,700
+T زي Delta T صار عند نقطة P Prime معناته ماشي من T
+
+67
+00:05:46,700 --> 00:05:53,420
+ل T plus Delta T ماشي مسافة إزاحة Delta X السرعة
+
+68
+00:05:53,420 --> 00:05:58,000
+المتوسطةمازال بحكي عن المتواصل بيه من البداية
+
+69
+00:05:58,000 --> 00:06:04,120
+والنهاية هتكون delta x على delta t اذا بقيت ازغر
+
+70
+00:06:04,120 --> 00:06:08,300
+المسافة فترة زمنية ازغر delta t ازغر ازغر ازغر
+
+71
+00:06:08,300 --> 00:06:12,060
+ازغر ازغر يعني هاخد ال limit معناته استصارة
+
+72
+00:06:12,060 --> 00:06:17,860
+اللحظية هتكون ال limit ل delta x على delta t as
+
+73
+00:06:17,860 --> 00:06:20,600
+delta t approaches zero معناته ال V في الحالة دي
+
+74
+00:06:20,600 --> 00:06:21,920
+إيش ساوي DX
+
+75
+00:06:26,270 --> 00:06:37,050
+by dt المشتقة الأولى طبعا
+
+76
+00:06:37,050 --> 00:06:42,810
+اتجاه السرعة افترض ان انا هاي اتجاه الموجة عند ال
+
+77
+00:06:42,810 --> 00:06:49,710
+X وانا ماشي بهذا الاتجاه سواء كنت ماشي بمعدل
+
+78
+00:06:49,710 --> 00:06:56,790
+متزايد او بمعدل متباطئهذه سرعتى وهذه اتجاهى صح
+
+79
+00:06:56,790 --> 00:07:00,750
+فانا ببحكى على اتجاه الحركة بتاعتى فالسرعة بتعبر
+
+80
+00:07:00,750 --> 00:07:05,730
+عن اتجاه الحركة بغض النظر ان انا كنت باسرع او
+
+81
+00:07:05,730 --> 00:07:13,510
+بابطق في الحالة هذه السرعة ايش موجبة اذا كان عندي
+
+82
+00:07:13,510 --> 00:07:18,790
+particle بتحرك بهذا الاتجاه عكس ال X axis المعنى
+
+83
+00:07:18,790 --> 00:07:20,890
+ان السرعة عشان تكون سالبة
+
+84
+00:07:31,760 --> 00:07:37,700
+طيب ناخد نفس ال particle عند
+
+85
+00:07:37,700 --> 00:07:48,840
+زمن T كان نقطة P و كان سرعته V بعد
+
+86
+00:07:48,840 --> 00:07:53,380
+فترة زمنية Delta T صار سرعته V زي Delta V
+
+87
+00:07:57,850 --> 00:08:02,470
+يعني صار فيه تغير بالسرعة قد يكون تغير موجب يعني
+
+88
+00:08:02,470 --> 00:08:07,870
+السرعة ازادت او قد يكون تغيرالسالب ميانات السرعة
+
+89
+00:08:07,870 --> 00:08:12,210
+ايش قلة مياناتها ممكن احسب العجل المتوسط ال
+
+90
+00:08:12,210 --> 00:08:14,370
+average acceleration هتساوي التغير في السرعة delta
+
+91
+00:08:14,370 --> 00:08:18,610
+V على delta T اذا زغرت ال time increment دلت ازغر
+
+92
+00:08:18,610 --> 00:08:21,810
+ازغر ازغر مياناتها هاخد ال limit هتكون ال
+
+93
+00:08:21,810 --> 00:08:27,190
+acceleration اللحظية limit delta V على delta T as
+
+94
+00:08:27,190 --> 00:08:31,130
+delta T approaches zero بالساوية المشتقة الأولى
+
+95
+00:08:31,130 --> 00:08:35,450
+للسرعة DV على DT
+
+96
+00:08:39,440 --> 00:08:41,980
+طبعا اتجاه ال acceleration يعني احنا كهيل اتجاه
+
+97
+00:08:41,980 --> 00:08:49,760
+الموجب اذا انا كنت ماشي بهيل اتجاه الموجب وماشي
+
+98
+00:08:49,760 --> 00:08:54,300
+بهذا الاتجاه وسرعت بتزيد معنى ال acceleration
+
+99
+00:08:54,300 --> 00:08:58,920
+هتكون موجبة و لا سالبة؟ موجبة لو كنت ماشي بهذا
+
+100
+00:08:58,920 --> 00:09:04,760
+الاتجاه كنت سريع و ببطئ بتكون بالعكس لإن التغير
+
+101
+00:09:06,160 --> 00:09:09,640
+سالب حيكون معناه ال acceleration بتكون بالعكس لو
+
+102
+00:09:09,640 --> 00:09:13,260
+كنت انا ماشي بالاتجاه هاي ال negative و ماشي
+
+103
+00:09:13,260 --> 00:09:16,540
+بالاتجاه ال negative و سرعتي بتزيد في هذا الاتجاه
+
+104
+00:09:16,540 --> 00:09:22,520
+هتكون سالب لو كنت ماشي بالاتجاه ال negative و
+
+105
+00:09:22,520 --> 00:09:27,020
+سرعتي بتتناقص معناه هتكون تجاهي ال acceleration
+
+106
+00:09:27,020 --> 00:09:33,820
+بالعكس موجة هنحل
+
+107
+00:09:33,820 --> 00:09:34,640
+ال example هذا
+
+108
+00:09:45,070 --> 00:09:51,410
+فى عندى particle بتحرك على خط مستقيم اللي زاعة
+
+109
+00:09:51,410 --> 00:09:59,550
+بتاعة معرفة بالمعادلة X بالساعة ستة T تربيع ناقص T
+
+110
+00:09:59,550 --> 00:10:03,170
+تكيب طبعا
+
+111
+00:10:03,170 --> 00:10:07,230
+لا يعنى ان ال particle بتحرك على خط مستقيم ان
+
+112
+00:10:07,230 --> 00:10:13,130
+العلاقات بتكون من الدرجة الأولى او خطية لأ هذا إشي
+
+113
+00:10:13,130 --> 00:10:21,250
+و هذا إشيطيب ال velocity ايش هتكون مشتقة
+
+114
+00:10:21,250 --> 00:10:32,990
+الأولى V بيساوي DX على DT بتساوي اتناشر T ناقص
+
+115
+00:10:32,990 --> 00:10:41,830
+تلاتة T تربيع ال acceleration A
+
+116
+00:10:41,830 --> 00:10:52,670
+سوى DVعلى دي تي اصلا و اتناش ماينس ستة تي لما ده
+
+117
+00:10:52,670 --> 00:11:01,990
+ابدا اعمل plotting ارسم ال X و ال V و ال A هعمل
+
+118
+00:11:01,990 --> 00:11:06,890
+جدول هاي
+
+119
+00:11:06,890 --> 00:11:07,310
+ال time
+
+120
+00:11:15,830 --> 00:11:28,870
+ال time هبدأ من ال acceleration a v و x عشان ابدأ
+
+121
+00:11:28,870 --> 00:11:32,970
+لازم ابدأ يعني اختار نقاط بشكل يعني اقل عدد من
+
+122
+00:11:32,970 --> 00:11:37,490
+النقاط عشان ارسم طبعا اول نقطة هبدأ فيها ايش؟ zero
+
+123
+00:11:37,490 --> 00:11:43,610
+لما ال t بيستوى صفر بتكون ال x صفر
+
+124
+00:11:46,220 --> 00:11:51,640
+و ال V صفر يعني بدأ من السكون و ال acceleration
+
+125
+00:11:51,640 --> 00:11:58,960
+اتناش ناقص في تاتية اتناش طيب
+
+126
+00:11:58,960 --> 00:12:02,200
+بدنا نشوف اول الشي و اين ال acceleration بتكون سوا
+
+127
+00:12:02,200 --> 00:12:08,720
+صفر يعني متى ال acceleration بتكون سوا صفر ايوة
+
+128
+00:12:13,520 --> 00:12:17,120
+لأ مديش احكي رياضيات، مدي أحكي أولشي فيزيا لما
+
+129
+00:12:17,120 --> 00:12:24,580
+يكون ماشي بسرعة منتظمة أو سرعته أقصى من القصوى أو
+
+130
+00:12:24,580 --> 00:12:27,320
+minimum maximum و minimum تكون ال acceleration
+
+131
+00:12:27,320 --> 00:12:39,020
+zero يعني a equal zero when اللي هو اتناش ناقص ستة
+
+132
+00:12:39,020 --> 00:12:46,050
+T سوى zero يعني بتكون Tبستوى ايش؟ اتنين second
+
+133
+00:12:46,050 --> 00:12:49,110
+يعني
+
+134
+00:12:49,110 --> 00:12:54,490
+عند اتنين second ال
+
+135
+00:12:54,490 --> 00:13:00,210
+acceleration بستوى ايش؟ صفر بمعناته عند اتنين
+
+136
+00:13:00,210 --> 00:13:04,590
+second اكيد السرعة هتكون maximum او minimum صح؟
+
+137
+00:13:04,590 --> 00:13:08,890
+لان ال acceleration بستوى صفر هنعوض في V اتنين
+
+138
+00:13:08,890 --> 00:13:19,600
+اتناشر في اتنيناربع عشرين ناقص اتناش اتناش طيب
+
+139
+00:13:19,600 --> 00:13:24,980
+عوض ب T باتنين هنا ستة باربعة اربع عشرين ناقص
+
+140
+00:13:24,980 --> 00:13:33,740
+تمانية ستة عشر ستة عشر بدي
+
+141
+00:13:33,740 --> 00:13:40,440
+كمان نقطة لما نفيت سوى سفر find
+
+142
+00:13:42,670 --> 00:13:54,390
+T when V equal 0 بيصير عندي هنا Zero سواء اتناشر T
+
+143
+00:13:54,390 --> 00:14:00,710
+minus تلاتة T تربيع يعني هناخد تلاتة T على مشترك
+
+144
+00:14:00,710 --> 00:14:09,150
+بيصير اربعة ناقص Tمعناته T بالساوية صفر or T
+
+145
+00:14:09,150 --> 00:14:14,250
+بالساوية أربعة يعني السرعة بتكون بالساوية صفر لمن
+
+146
+00:14:14,250 --> 00:14:18,210
+الزمن في البداية عند time equals zero أو بعد أربع
+
+147
+00:14:18,210 --> 00:14:27,610
+ثوانة بتكون الساوية صفر يعني عند هنا ال T أربعة ال
+
+148
+00:14:27,610 --> 00:14:33,190
+V صفر ال Excel هتكون أطمعاش مارقص أربعة و عشرين
+
+149
+00:14:34,390 --> 00:14:38,730
+سالف اتناش وال
+
+150
+00:14:38,730 --> 00:14:45,610
+X هتكون ستة و ستاش ستة وتسعين نقص اربعة ستين اتنين
+
+151
+00:14:45,610 --> 00:14:53,350
+و تلاتين خلينا
+
+152
+00:14:53,350 --> 00:15:01,210
+نشوف متى يعني واضح ان ال particle بدأ من المركز
+
+153
+00:15:01,210 --> 00:15:04,900
+اللي حدث بدأ من ال zeroطب بدأ أشوف هل برجع لل 0
+
+154
+00:15:04,900 --> 00:15:18,560
+ولا لأ يعني يعني x find when x equal to 0 في
+
+155
+00:15:18,560 --> 00:15:25,900
+الحلقة ده حاسس أن عنديه 6t تربيع minus t تكيب
+
+156
+00:15:25,900 --> 00:15:32,470
+بالساوة والصفر يعني بدأ أخد t تربيع مشترك هيكون6
+
+157
+00:15:32,470 --> 00:15:38,730
+minus T بساوة صفر يعني في البداية هو انطلق من
+
+158
+00:15:38,730 --> 00:15:46,870
+المركز في البداية T بساوة صفر or T ستة يعني في
+
+159
+00:15:46,870 --> 00:15:51,450
+البداية انطلق من المركز و بعد ست ثوانة رجع تاني
+
+160
+00:15:51,450 --> 00:16:01,090
+لمركز يعني هتكون عندي هنا ال X عند ست ثوانة صفر ال
+
+161
+00:16:01,090 --> 00:16:09,610
+V12×6 هو 72 الناقص
+
+162
+00:16:09,610 --> 00:16:14,290
+6×6
+
+163
+00:16:14,290 --> 00:16:21,510
+هو 36 3×3 هو 144 108 سالب 36 صح؟
+
+164
+00:16:30,540 --> 00:16:33,680
+لحظة عندكوا عوض عن ت بستة اتناش ستة باتنين وسبعين
+
+165
+00:16:33,680 --> 00:16:43,660
+الان ستة و تلاتين لأ صح ناقص تلاتة فيه ستة و
+
+166
+00:16:43,660 --> 00:16:47,640
+تلاتين يعني هتكون عندك اتنين و سبعين ناقص مية و
+
+167
+00:16:47,640 --> 00:16:52,720
+تمانية ناقص ستة و تلاتين مظبوط طيب ال a هتكون
+
+168
+00:16:52,720 --> 00:16:57,280
+اتناش ناقص ستة و تلاتين سالب اربع عشر يعني
+
+169
+00:17:03,820 --> 00:17:09,080
+الان خليني اعرف اللقاءات الأساسية انا عندي هاي
+
+170
+00:17:09,080 --> 00:17:17,280
+المحور هعمل تلت محاور هاي هذا الزمن T بال second T
+
+171
+00:17:17,280 --> 00:17:24,900
+بال second T بال second و T بال second عندي هين ال
+
+172
+00:17:24,900 --> 00:17:30,740
+acceleration meter per second square و هين السرعة
+
+173
+00:17:31,560 --> 00:17:39,940
+meter per second و هنا الإذاعة XM بالمتر ال time
+
+174
+00:17:39,940 --> 00:17:47,200
+equal zero كانت ال X صفر هذه النقطة صح؟ و السرعة
+
+175
+00:17:47,200 --> 00:17:53,880
+كانت بدأ من السكون هذه النقطة و ال acceleration
+
+176
+00:17:53,880 --> 00:17:57,400
+كانت اتناش
+
+177
+00:18:02,750 --> 00:18:06,850
+عند ال time equal two second كانت ال acceleration
+
+178
+00:18:06,850 --> 00:18:13,210
+صفر ال
+
+179
+00:18:13,210 --> 00:18:17,490
+acceleration صفر و علاقة ال acceleration مع الزمن
+
+180
+00:18:17,490 --> 00:18:24,010
+علاقة خطية معناته بكفين نقطتين يعني لو وصلت النقطة
+
+181
+00:18:24,010 --> 00:18:30,040
+هذه مع النقطة هذهو مديت عرفت كيف ال acceleration
+
+182
+00:18:30,040 --> 00:18:35,880
+تتغير مع الزمن الان عند two second هذه اتنين هذه
+
+183
+00:18:35,880 --> 00:18:41,580
+سفر عند
+
+184
+00:18:41,580 --> 00:18:44,500
+two second كانت ال acceleration من سوا سفر معناته
+
+185
+00:18:44,500 --> 00:18:53,160
+هتكون السرعة maximum او minimum واضح السرعة زادت
+
+186
+00:18:53,160 --> 00:18:58,480
+معناته مزال زادت هتكون عياشmaximum يعني عندي هنا
+
+187
+00:18:58,480 --> 00:19:07,900
+الفلسطين maximum عند أربعة second كانت الفلسطين شو
+
+188
+00:19:07,900 --> 00:19:16,700
+ساوي صفر هذا أربعة second والعلاقة من الدرجة
+
+189
+00:19:16,700 --> 00:19:23,260
+التانية هنا تحتكوا أن الرسمة parabola هوصل
+
+190
+00:19:23,260 --> 00:19:24,200
+هي parabola
+
+191
+00:19:30,200 --> 00:19:36,080
+بالنسبة لل X عند
+
+192
+00:19:36,080 --> 00:19:43,920
+الصفر كانت قيمتها سفر والسرعة سفر معناته هتكون
+
+193
+00:19:43,920 --> 00:19:50,900
+الإزاحة يا minimum يا maximum صح؟ عند الأربعة
+
+194
+00:19:50,900 --> 00:19:57,100
+second برضه سرعة سفر معناته الإزاحة هتكون يا
+
+195
+00:19:57,100 --> 00:20:01,040
+minimum يا maximumالتلاتيين أكبر من سفر معناته هذه
+
+196
+00:20:01,040 --> 00:20:08,660
+هتكون maximum وهذه maximum وهذه minimum معناته ال
+
+197
+00:20:08,660 --> 00:20:16,420
+slope هى هى سفر وهي أفضل الان في نقطة بين التنتين
+
+198
+00:20:16,420 --> 00:20:20,360
+and two second كانت ال acceleration بالساوية سفر
+
+199
+00:20:20,360 --> 00:20:21,280
+and two second
+
+200
+00:20:26,520 --> 00:20:30,700
+كانت ال acceleration صفر و فى عندى two levels عندى
+
+201
+00:20:30,700 --> 00:20:34,460
+minimum level و maximum level فعندى minimum level
+
+202
+00:20:34,460 --> 00:20:41,120
+عندى zero و maximum level عند أربع second فيزيائيا
+
+203
+00:20:41,120 --> 00:20:47,660
+عشان تنتقل من minimum ل maximum لازم reflect او
+
+204
+00:20:47,660 --> 00:20:52,300
+اذا كنت maximum ل minimum انت بيكون عندك
+
+205
+00:20:55,970 --> 00:21:00,970
+عندك كان ال slope بيزيد و بعدين ماببدأياش يقل فإذا
+
+206
+00:21:00,970 --> 00:21:06,670
+إذا في عندك حالة التغير بيقل أو التغير بيزيد و
+
+207
+00:21:06,670 --> 00:21:08,810
+بعدين يصلّوا عليك سموبيل و بعدين ماببدأ يقل مانعك
+
+208
+00:21:08,810 --> 00:21:12,250
+ت .. لازم you have to inflict لازم يكون عندك نقطة
+
+209
+00:21:12,250 --> 00:21:17,710
+انقلابنقطة انقلاب معناته رياضيا لما تكون المشتقة
+
+210
+00:21:17,710 --> 00:21:21,830
+تاني بيساوي صفر المشتقة تاني بيساوي صفر يعني ال
+
+211
+00:21:21,830 --> 00:21:24,650
+acceleration بيساوي صفر يعني انا عندي اتنين عبارة
+
+212
+00:21:24,650 --> 00:21:29,870
+عن inflection point يعني ال slope هنا بيكون
+
+213
+00:21:29,870 --> 00:21:34,310
+maximum يلاحظوا هنا ال slope بيكون zero بزيد شوية
+
+214
+00:21:34,310 --> 00:21:37,910
+شوية شوية شوية ال slope بيصل ل maximum value بعدين
+
+215
+00:21:37,910 --> 00:21:43,110
+مبدأيش يقل ال slope لحد ما يصل ل zeroفهيك وصلت ل
+
+216
+00:21:43,110 --> 00:21:47,310
+maximum و عند ال T equals second displacement ايش
+
+217
+00:21:47,310 --> 00:21:54,290
+بالثانوية سفر معناته حكم بالكرم الدرجة التالتة هيك
+
+218
+00:21:54,290 --> 00:21:59,370
+انا عملت plot و analysis لان نجي نفهمها فيزيائيا
+
+219
+00:21:59,370 --> 00:22:08,870
+احنا حكينا هاي مركز الاهدثيات مركز الاهدثيات بدأ
+
+220
+00:22:08,870 --> 00:22:16,770
+من السكونبدأ من السكون و كانت سرعته اتزيد لحد
+
+221
+00:22:16,770 --> 00:22:24,850
+موصلت ل maximum موصل ل maximum بعدين ضل وماشي بس
+
+222
+00:22:24,850 --> 00:22:32,790
+سرعته بتقل لحد موصل لأبعد نقطة بعدين
+
+223
+00:22:32,790 --> 00:22:36,610
+إيش صار؟ صار يرجع
+
+224
+00:22:39,450 --> 00:22:45,970
+لحد ما وصلت ستة second رجع إلى المركز هو ماشي على
+
+225
+00:22:45,970 --> 00:22:49,390
+خط مستقيم معناته اللي يعني انه ماشي على خط مستقيم
+
+226
+00:22:49,390 --> 00:22:53,050
+ان اذا هتتغير معنى الزمن بشكل خطي لأ ما اتغيرت
+
+227
+00:22:53,050 --> 00:23:02,250
+بشكل خطي واضحات؟ طيب لما ندرس الحركة لل particles
+
+228
+00:23:02,250 --> 00:23:07,480
+ممكن اصنف الحركة لتلت أنواع ان هو الأول الحركةإن
+
+229
+00:23:07,480 --> 00:23:13,980
+العجلة بتكون دالة مع الزمن a is a function of t او
+
+230
+00:23:13,980 --> 00:23:16,580
+ال acceleration is a function of position a is a
+
+231
+00:23:16,580 --> 00:23:21,020
+function of x او ال acceleration is a function of
+
+232
+00:23:21,020 --> 00:23:25,200
+velocity هنشوف الحالة الأولى إذا كانت ال
+
+233
+00:23:25,200 --> 00:23:25,720
+acceleration
+
+234
+00:23:41,040 --> 00:23:47,880
+الـ acceleration is a function of time عندي ال ..
+
+235
+00:23:47,880 --> 00:23:53,100
+ال acceleration is a function of time و ال
+
+236
+00:23:53,100 --> 00:23:58,900
+acceleration فارع عن DV by DT صح؟ يعني لو ضربت
+
+237
+00:23:58,900 --> 00:24:04,900
+الطرفين ب DT بيصير عندي DV
+
+238
+00:24:04,900 --> 00:24:18,380
+بالساوئ F of TDT لو باخد الـ integral من سفر ل any
+
+239
+00:24:18,380 --> 00:24:24,540
+time T وهي من V node ل V function of T بعمل
+
+240
+00:24:24,540 --> 00:24:29,480
+integration وقول ان V as a function of time minus
+
+241
+00:24:29,480 --> 00:24:40,750
+V node بس هو تكامل من سفر ل T ل F of TDT الان ال V
+
+242
+00:24:40,750 --> 00:24:51,150
+as a function of time عبارة عن DX by DT يعني هكون
+
+243
+00:24:51,150 --> 00:25:00,170
+دي DX بيساوي V of T DT اذا بعمل integral من X node
+
+244
+00:25:00,170 --> 00:25:06,950
+ل X as a function of T وهين ال T من صفر
+
+245
+00:25:10,020 --> 00:25:19,680
+لـ T يعني هكون اندي X of T minus X node هيكون
+
+246
+00:25:19,680 --> 00:25:29,460
+تكامل لل V of T DT و T تتغير من 0 ل T يعني طالما
+
+247
+00:25:29,460 --> 00:25:34,880
+عرفت ال acceleration استطعت أجد المعادلة تاعت ال
+
+248
+00:25:34,880 --> 00:25:39,100
+velocityعرفت ال velocity او جدت المعادلة بتاعة
+
+249
+00:25:39,100 --> 00:25:44,980
+الإزاحة شوف
+
+250
+00:25:44,980 --> 00:25:52,400
+الحالة التانية الحالة
+
+251
+00:25:52,400 --> 00:25:58,840
+التانية ال acceleration is a function of x ال a is
+
+252
+00:25:58,840 --> 00:26:05,520
+a function of x و اللي احنا عارفينه هو dv
+
+253
+00:26:08,390 --> 00:26:15,930
+على دي تي صح دي في على دي تي حاضره البسط ب دي اكس
+
+254
+00:26:15,930 --> 00:26:23,650
+على دي اكس اي دي اكس على دي اكس هذا ال term لحالش
+
+255
+00:26:23,650 --> 00:26:33,450
+هو V يعني هتكون ساوى V دي V ع دي اكس يعني هسيب
+
+256
+00:26:33,450 --> 00:26:46,530
+عندي V دي Vبس لو F of X دي X بس بعمل تكامل من X
+
+257
+00:26:46,530 --> 00:26:55,730
+node ل X وهي من V node ل V as a function of X
+
+258
+00:26:55,730 --> 00:27:03,670
+بيصير بالحالة هذه حيث يصير عنده تكامل V دي V اللي
+
+259
+00:27:03,670 --> 00:27:14,620
+هي V² حيث يكون عنده نصV of X تربيع minus نص V node
+
+260
+00:27:14,620 --> 00:27:29,140
+تربيع ستكون تكامل X node ل X لل F of X DX هي اوجدت
+
+261
+00:27:29,140 --> 00:27:36,240
+السرعة as a function of X الحالة التالتة
+
+262
+00:27:38,830 --> 00:27:43,350
+ان تكون ال acceleration function
+
+263
+00:27:43,350 --> 00:27:51,590
+of velocity ال A function
+
+264
+00:27:51,590 --> 00:28:02,790
+of velocity نعرفين ال A برضه يستوى DV على DT يعني
+
+265
+00:28:02,790 --> 00:28:06,870
+بتعمل separation of variables هيكون ان ال DV
+
+266
+00:28:10,080 --> 00:28:17,000
+على F of V بساوى
+
+267
+00:28:17,000 --> 00:28:28,380
+DT معاها من Zero ل T وهي من V node ل V يعني هكون
+
+268
+00:28:28,380 --> 00:28:40,020
+عند ال T بساوى تكامل من V nodeل V ل DV على ال F of
+
+269
+00:28:40,020 --> 00:28:50,220
+V هاي الطريقة او بعدين هحكي والله A A
+
+270
+00:28:50,220 --> 00:28:53,560
+بيستوى
+
+271
+00:28:53,560 --> 00:29:02,760
+F of V بيستوى V DV على DX يعني انا هسير عنده
+
+272
+00:29:05,500 --> 00:29:16,300
+VDV على F of V بالساوية DX بعمل تلك الامر من X
+
+273
+00:29:16,300 --> 00:29:26,580
+node ل X وهي من V node ل V يعني بالصراحة انتx
+
+274
+00:29:26,580 --> 00:29:37,480
+minus x node سوى التكامل من v node ل v ل v dv على
+
+275
+00:29:37,480 --> 00:29:45,580
+f of v في
+
+276
+00:29:45,580 --> 00:29:51,900
+أي سؤال طيب هنحل مثال
+
+277
+00:30:05,780 --> 00:30:10,660
+a ball tossed with ten meters per second vertical
+
+278
+00:30:10,660 --> 00:30:14,620
+velocity from around twenty meters above the
+
+279
+00:30:14,620 --> 00:30:23,040
+ground فى عندى مبنى من أحد الشبابيك شخص حدف كورة
+
+280
+00:30:23,040 --> 00:30:28,420
+لأعلى الشباب طبعا ارتفاعه عن الأرض عشرين متر حدف
+
+281
+00:30:28,420 --> 00:30:32,240
+كورة بسرعة بتدقيق عشرة متر per second لأعلى
+
+282
+00:30:34,940 --> 00:30:39,760
+determine velocity and elevation above the ground
+
+283
+00:30:39,760 --> 00:30:45,220
+at time يعني أجد كيف تتغير السرعة و ارتفاع الكورة
+
+284
+00:30:45,220 --> 00:30:51,700
+مع الزمن مثال زيك لازم انا ارسم يعني لازم احدد هاي
+
+285
+00:30:51,700 --> 00:31:01,800
+عندي hidden reference وهاي
+
+286
+00:31:01,800 --> 00:31:08,200
+ال y axisالكورة في البداية كانت في البداية موقعها
+
+287
+00:31:08,200 --> 00:31:11,260
+كانت
+
+288
+00:31:11,260 --> 00:31:17,160
+وي نود بتساوي عشرين متر في البداية وكانت سرعتها
+
+289
+00:31:17,160 --> 00:31:24,400
+البداية v نود عشرة متر per second طبعا لما رميت
+
+290
+00:31:24,400 --> 00:31:28,340
+الكورة على فرض أنها مانا مقامة الهواء هتكون الكورة
+
+291
+00:31:28,340 --> 00:31:32,280
+تحت تأثير الجاذبية يعني ال acceleration هتكون
+
+292
+00:31:32,280 --> 00:31:34,440
+قيمتها ثالثة ال a
+
+293
+00:31:38,440 --> 00:31:48,340
+لتحت هتكون سالب تسعة point تمانية سفر ستة اللي هي
+
+294
+00:31:48,340 --> 00:31:56,660
+متر per second square هذا ال A هذا
+
+295
+00:31:56,660 --> 00:32:00,320
+شو يساوي DV
+
+296
+00:32:00,320 --> 00:32:06,720
+by DT يعني DV
+
+297
+00:32:10,990 --> 00:32:17,570
+هتساوي minus 9 DT
+
+298
+00:32:17,570 --> 00:32:30,190
+هعمل تكامل V نود اللي هي عشرة من عشرة بداية ل V و
+
+299
+00:32:30,190 --> 00:32:38,010
+هنا بدأ الزمن من صفر ل T تكامل DV من عشرة ل V
+
+300
+00:32:38,010 --> 00:32:48,200
+هيكون عندV minus عشرة بتساوي سالب تسعة بون تمانية
+
+301
+00:32:48,200 --> 00:32:58,000
+سفر ستة T يعني هكون دي V بتساوي عشرة minus تسعة
+
+302
+00:32:58,000 --> 00:33:04,940
+بون تمانية سفر ستة T اين احكي اي معادلة؟ واحد طيب
+
+303
+00:33:04,940 --> 00:33:15,600
+ال acceleration ايش ساوي؟او ال y او ال v بتساوي dy
+
+304
+00:33:15,600 --> 00:33:25,460
+by dt بتساوي عشرة minus تسعة عبون تمانية سفر ستة t
+
+305
+00:33:25,460 --> 00:33:33,780
+يعني انا هتصير عنده dy بتساوي
+
+306
+00:33:35,040 --> 00:33:44,080
+عشرة minus تسعة point تمانية سفر ستة T دي T هعمل
+
+307
+00:33:44,080 --> 00:33:54,300
+التكاوم من صفر ل T و ال Y من Y نض اللي هي عشرين ل
+
+308
+00:33:54,300 --> 00:34:05,570
+Y يعني هتطلع النتيجة Y minus عشرين هتسوى عشرةT
+
+309
+00:34:05,570 --> 00:34:21,910
+minus 4 point 9 0 3 T تربيع يعني ال Y هتساوي
+
+310
+00:34:21,910 --> 00:34:35,550
+20 زائد 10 T ناطس 4 point 903 T تربيعهذا المطلوب
+
+311
+00:34:35,550 --> 00:34:40,050
+الأول المطلوب التاني بيسأل you the highest
+
+312
+00:34:40,050 --> 00:34:42,890
+elevation reached by the ball and corresponding
+
+313
+00:34:42,890 --> 00:34:51,470
+time ايش أقصر تفاهم أنك تصل الكرة ماناته
+
+314
+00:34:51,470 --> 00:34:56,890
+at maximum elevation
+
+315
+00:35:00,280 --> 00:35:08,260
+بكون ان ال V ساوة Zero يعني
+
+316
+00:35:08,260 --> 00:35:15,520
+هكون عشرة minus تسعة point تمانية سفر ستة T ساعة
+
+317
+00:35:15,520 --> 00:35:23,420
+سفر يعني T ال T maximum elevation ايش هو الساوية
+
+318
+00:35:23,420 --> 00:35:28,220
+عشرة على تسعة point تمانية سفر ستة هتطلع واحد
+
+319
+00:35:28,220 --> 00:35:35,920
+point Oع كام؟ one nine three point o nine one nine
+
+320
+00:35:35,920 --> 00:35:44,220
+three one nine three one nine three
+
+321
+00:35:44,220 --> 00:35:47,460
+point o nine one nine three point o nine one nine
+
+322
+00:35:47,460 --> 00:35:47,480
+three point o nine one nine three point o nine one
+
+323
+00:35:47,480 --> 00:35:47,480
+nine three point o nine one nine three point o
+
+324
+00:35:47,480 --> 00:35:49,600
+nine one nine three point o nine one nine three
+
+325
+00:35:49,600 --> 00:35:51,300
+point o nine one nine three point o nine one nine
+
+326
+00:35:51,300 --> 00:35:51,340
+three point o nine one nine three point o nine one
+
+327
+00:35:51,340 --> 00:35:59,000
+nine nine three point o nine one nine nine nine
+
+328
+00:35:59,000 --> 00:35:59,000
+nine nine nine nine nine nine nine nine nine nine
+
+329
+00:35:59,000 --> 00:35:59,000
+nine nine nine nine nine nine nine nine nine nine
+
+330
+00:35:59,000 --> 00:35:59,000
+nine nine nine nine nine nine nine nine nine nine
+
+331
+00:35:59,000 --> 00:35:59,000
+nine nine nine nine nine nine nine nine nine nine
+
+332
+00:35:59,000 --> 00:35:59,000
+nine nine nine nine nine nine nine nine nine nine
+
+333
+00:35:59,000 --> 00:35:59,000
+nine nine nine nine nine nine nine nine nine nine
+
+334
+00:35:59,000 --> 00:35:59,000
+nine nine nine nine nine nine nine nine nine nine
+
+335
+00:35:59,000 --> 00:35:59,000
+nine nine nine nine nine nine nine nine nine nine
+
+336
+00:35:59,000 --> 00:35:59,000
+nine nine nine nine nine nine nine nine nine nine
+
+337
+00:35:59,000 --> 00:35:59,000
+nine nine nine nine nine nine nine nine nine nine
+
+338
+00:35:59,000 --> 00:35:59,040
+nine nine nine nine nine nine nine nine nine nine
+
+339
+00:35:59,040 --> 00:35:59,060
+nine nine nine nine nine nine nine nine nine nine
+
+340
+00:35:59,060 --> 00:35:59,120
+nine nine nine nine nine nine nine nine nine nine
+
+341
+00:35:59,120 --> 00:36:05,700
+nineعوض معادل اتنين y maximum هتكون تسعة و عشرين
+
+342
+00:36:05,700 --> 00:36:12,480
+زاد عشرة في واحد point او واحد تسعة تلاتة ناقص
+
+343
+00:36:12,480 --> 00:36:17,700
+اربع point تسعة سفر تلاتة في واحد point او واحد
+
+344
+00:36:17,700 --> 00:36:23,220
+تسعة تلاتة تربيع تحطيني ال maximum elevation
+
+345
+00:36:23,220 --> 00:36:28,460
+reached by the ball اكثر اتفاع وصلتله الكورة
+
+346
+00:36:45,620 --> 00:36:47,580
+مطلوب التالت
+
+347
+00:36:51,570 --> 00:36:54,810
+find the time when the ball will hit the ground
+
+348
+00:36:54,810 --> 00:36:59,430
+and the corresponding ballistic wave زمان عندما
+
+349
+00:36:59,430 --> 00:37:04,190
+ترتطم الكورة في الأرض طيب متى ترتطم الكورة في
+
+350
+00:37:04,190 --> 00:37:15,030
+الأرض لمان واي سوى سفر نحكي the ball hits the
+
+351
+00:37:15,030 --> 00:37:19,930
+ground when
+
+352
+00:37:23,340 --> 00:37:33,180
+Y ساوة سفر هتساوى اللي هي عشرين زائد
+
+353
+00:37:33,180 --> 00:37:41,670
+عشرة T ناقص اربعة point تسعة سفر تلاتة T تربيعخلّي
+
+354
+00:37:41,670 --> 00:37:45,270
+أبدّل المعادلة أقسم على minus واحد حيث أن عندي
+
+355
+00:37:45,270 --> 00:37:53,910
+أربع bond تسعة سفر تلاتة T تربيع ناقص عشرة T ناقص
+
+356
+00:37:53,910 --> 00:38:01,290
+عشرين بالساوي سفر هذا معادلة من درجة التانية ممكن
+
+357
+00:38:01,290 --> 00:38:05,810
+أوجد الجذور بتاعتها باستخدام معادلة نيوتن صح؟
+
+358
+00:38:05,810 --> 00:38:08,910
+مظبوط فاكري المعادلة؟
+
+359
+00:38:12,500 --> 00:38:20,460
+عندك المعادلة a x تربيع زائد b x زائد c بالساوية
+
+360
+00:38:20,460 --> 00:38:28,960
+صفر يعني جذور ال X هتكون minus b زائد او ناقص
+
+361
+00:38:28,960 --> 00:38:35,480
+الجذر التربيعي اللي بيه تربيع ناقص اربعة a c كله
+
+362
+00:38:35,480 --> 00:38:40,880
+على اتنين a مظهور؟
+
+363
+00:38:42,270 --> 00:38:47,690
+يعني نعوض هنا معينة ال T عند ال B اللي هي ناقص
+
+364
+00:38:47,690 --> 00:38:52,930
+عشرة وال C ناقص عشرين وال A اللي هي أربعة بون تسعة
+
+365
+00:38:52,930 --> 00:38:58,670
+سفر تلاتة معينة ال T هتكون
+
+366
+00:38:58,670 --> 00:39:02,570
+تساوي عشرة
+
+367
+00:39:02,570 --> 00:39:10,990
+طبعا عند زائد أو ناقص الجزر التربيع إلى عشرة تربيع
+
+368
+00:39:14,780 --> 00:39:21,000
+الناقص اربعة في موجة في ساعة ناقص ناقص زائد صح؟
+
+369
+00:39:21,000 --> 00:39:29,220
+زائد اربعة في اربعة بون تسعة سفر تلاتة في عشرين
+
+370
+00:39:32,180 --> 00:39:42,160
+على اتنين فى اربعة point تسعة سفر تلاتة طبعا اللى
+
+371
+00:39:42,160 --> 00:39:50,060
+تحت الجدر واضح اكبر من العشرة صح؟ معناته اذا خلت
+
+372
+00:39:50,060 --> 00:39:54,100
+minus هتصبح زي ما ال minus زي ما مرجعش لورا معناته
+
+373
+00:39:54,100 --> 00:39:58,800
+هتكون بس and plus هتكون عشرة plus
+
+374
+00:40:07,980 --> 00:40:14,880
+احسبولي ايها اتنين فاصلة تلاشرين بدها تكون متجانس
+
+375
+00:40:14,880 --> 00:40:23,200
+في العدد الأرقام اتنين فاصلة اتنين اتنين تلاتة
+
+376
+00:40:23,200 --> 00:40:27,920
+بيعني تخليها زي هيك second
+
+377
+00:40:33,880 --> 00:40:38,100
+طبعا الكورة هترتطن بالأرض بسرعة لإن الناس ده سقوط
+
+378
+00:40:38,100 --> 00:40:47,980
+حر بحسب السرعة بدي أسميها TH هسب VH اللي هي هعوض
+
+379
+00:40:47,980 --> 00:40:50,200
+على عشرة
+
+380
+00:40:52,160 --> 00:40:58,260
+مناقص تسعة point تمانية سفر ستة في اتنين point
+
+381
+00:40:58,260 --> 00:41:04,960
+اتنين اتنين تلاتة ومنها بوجد سرعة الارتطام في
+
+382
+00:41:04,960 --> 00:41:08,680
+الأرض سالب
+
+383
+00:41:08,680 --> 00:41:12,540
+point
+
+384
+00:41:18,400 --> 00:41:30,400
+meter per second يعني في عكس اتجاه ال y axis طيب
+
+385
+00:41:30,400 --> 00:41:35,360
+في اي سؤال ال y max خمسة و عشرين يعني هي بعد ما
+
+386
+00:41:35,360 --> 00:41:43,520
+اتدت ولا كانت ال y max خمسة و عشرين بدأت ناشي انا
+
+387
+00:41:43,520 --> 00:41:48,470
+هدفتها الاعلىهيكون الأعلى حدثها بيبقى مين هيعكسها
+
+388
+00:41:48,470 --> 00:41:53,610
+جاذبية جاذبية هتظلها تنقص السرعة تابع الانقاص،
+
+389
+00:41:53,610 --> 00:41:56,670
+انقاص للسرعة لحد ما تصل إيش السرعة سفر، ما تصل
+
+390
+00:41:56,670 --> 00:41:58,990
+السرعة سفر، بيبقى مانت مش هتقدر تكمل، ففكرت لتحت
+
+391
+00:41:58,990 --> 00:42:01,550
+وفكرت خارج السرعة؟ لأ، لأ، لأ، أي أنا مابين السرعة
+
+392
+00:42:01,550 --> 00:42:07,110
+بالأعلى سؤال
+
+393
+00:42:07,110 --> 00:42:10,230
+تاني؟ اللي اتكلمت معاك عن اتجاه ال acceleration
+
+394
+00:42:10,230 --> 00:42:18,920
+كيف تكون اتجاه ال acceleration؟لتحت دايما
+
+395
+00:42:18,920 --> 00:42:26,560
+لتحت ال exploration قيمتها ثابتة في الحالة هذه ما
+
+396
+00:42:26,560 --> 00:42:29,500
+هو قيمه والاتجاه بتاعتها ثابتة دايما الأرض بتشدك
+
+397
+00:42:29,500 --> 00:42:34,420
+لتحت هل هتعكس الأرض تحكي لك اروح اطلع؟ لأ بتشدك
+
+398
+00:42:34,420 --> 00:42:35,020
+لتحت دايما
+
+399
+00:42:38,470 --> 00:42:41,670
+أضف لأعلى، الجاذبية بتكون بالساقية، بتعكس الأجازة
+
+400
+00:42:41,670 --> 00:42:45,550
+لتحت، أيوة بتكون بالتحشر الساقية بقى، ايوة و لما
+
+401
+00:42:45,550 --> 00:42:48,430
+.. مثلا يرمي نتحت برضه بالساقية والجاذبية إيش
+
+402
+00:42:48,430 --> 00:42:54,310
+رأيك؟ أنت الجاذبية و أنت ترمي لتحت بتساعدك ولا
+
+403
+00:42:54,310 --> 00:42:59,030
+بتعكسك؟ بتزود السرعة بتساعدك، هي لتحت دايما و أنت
+
+404
+00:42:59,030 --> 00:43:03,190
+رميت لتحت، معناته هتعطيلك دفع أكتر، مصطلح الحركة،
+
+405
+00:43:03,190 --> 00:43:04,230
+مصطلح الحركة، مصطلح الحركة، مصطلح الحركة، مصطلح
+
+406
+00:43:04,230 --> 00:43:08,890
+الحركة، مصطلح الحركة، مصطلح الحركة،لو أنت أسقطتش
+
+407
+00:43:08,890 --> 00:43:14,910
+من دون أي سرعة، بس أسقطه، بأخذ سرعة، ليش؟ في اتصار
+
+408
+00:43:14,910 --> 00:43:27,810
+اللي تحت، بالسرعة، بقى كده أنا أبدأ بسرعة كمان
+
+409
+00:43:27,810 --> 00:43:30,390
+مرة السؤال؟ يعني مش هاجدته هو اتصار الجاذبية
+
+410
+00:43:30,390 --> 00:43:34,000
+الأرضيةلا تحت اثارة جاذبية ارضية طب القوة اللى
+
+411
+00:43:34,000 --> 00:43:37,060
+أثرت عليها بتعطيها وسهر للباطن كده في زرعية شرعية
+
+412
+00:43:37,060 --> 00:43:42,280
+هو ليش بتثار على تحت؟ عشان جاذبية free fall يعني
+
+413
+00:43:42,280 --> 00:43:47,420
+يعني يعني ايش عن جاذبية؟ القوة الارض فيه قوة جاذبة
+
+414
+00:43:47,420 --> 00:43:51,860
+تشدك اللى هو الوزن اللى هو تحت تأثير الوزن فاهم بس
+
+415
+00:43:51,860 --> 00:43:55,440
+قبل ساعتين زى ما يطلع عشان ماشي بس انا اعطيته انا
+
+416
+00:43:55,440 --> 00:43:58,900
+اعطيته طاقة انه حدافته لأعلى طب الطاقة مش بسببله
+
+417
+00:43:58,900 --> 00:44:03,160
+اتثارة؟الطاقة انا بديت .. بديت اعطيته الدفع الأولى
+
+418
+00:44:03,160 --> 00:44:06,940
+بعشرة متر و سبته تحت الثر الجاذبية الدفع هاد ..
+
+419
+00:44:06,940 --> 00:44:10,560
+ماشي الدفع هاد انا ماشغلتش معاه محرك مثلا محرك
+
+420
+00:44:10,560 --> 00:44:14,480
+نفاذ عشان احافظ السرعة مثلا او ازودها انا اعطيته
+
+421
+00:44:14,480 --> 00:44:18,960
+الدفع الأولى زي مقظوفة كأنه اعطيته الدفع الأولى و
+
+422
+00:44:18,960 --> 00:44:22,300
+سبته خلاص اللي هي قوة يعني اللي هي قوة طبعا قوة
+
+423
+00:44:22,300 --> 00:44:25,500
+الدفع أولى لكن لو انا بدي احافظها السرعة مثلا سرعة
+
+424
+00:44:25,500 --> 00:44:32,110
+منتظرة مثلا بدي احطله مثلا صاروخ نفاذضل يطلع،
+
+425
+00:44:32,110 --> 00:44:37,250
+مظبوط؟ مش عجب ..معناته اتدخلت مؤثر خارجي بيحاول
+
+426
+00:44:37,250 --> 00:44:44,630
+إذا بده يطلع بسرعة ثابتة يساوي القوة اللي جانه
+
+427
+00:44:44,630 --> 00:44:51,450
+الجاذبية، إذا بدي يصير يسرع، بزود قوة الدفع من
+
+428
+00:44:51,450 --> 00:44:52,810
+الصاروخ النفاذ، مظبوط؟
+
+429
+00:44:56,300 --> 00:45:01,040
+أيوة ايوة و هو في الان و هو في عندك الجاذبية هنجيه
+
+430
+00:45:01,040 --> 00:45:04,740
+لهدف في الجزية ال kinetics يعني كيف نحسب ال
+
+431
+00:45:04,740 --> 00:45:08,680
+acceleration حاليا احنا بندرس ال kinematics بدون
+
+432
+00:45:08,680 --> 00:45:15,000
+التطرق للمسبب تعمل free body diagram و تحسب ال
+
+433
+00:45:15,000 --> 00:45:22,940
+acceleration net acceleration انا
+
+434
+00:45:22,940 --> 00:45:29,460
+ماحكتش زي هيكانت اللي هكذا هيك انا بحكيلك ان هو
+
+435
+00:45:29,460 --> 00:45:34,500
+انا قدفته و سبته تحت اثر جاذبية بتضل هي تحاول
+
+436
+00:45:34,500 --> 00:45:40,540
+تعمله تساره لتحت تحاول تقلل سرعته بمعدل متناقص اذا
+
+437
+00:45:40,540 --> 00:45:44,460
+هو طالع هو بيطلع بمعدل متناقص لحد ما تصل سرعته
+
+438
+00:45:44,460 --> 00:45:53,560
+لصفر بعدين هينزل بمعدل متسارع لأسفلبنفس المعدل بس
+
+439
+00:45:53,560 --> 00:45:57,820
+لأسفل في الحالتين انا بقلل .. هو طالع بقلل سرعته
+
+440
+00:45:57,820 --> 00:46:03,200
+بنفس .. بس بمعدل 9.8 يعني هي عادة الصح تكتب ال
+
+441
+00:46:03,200 --> 00:46:09,780
+acceleration زي هيك هو
+
+442
+00:46:09,780 --> 00:46:13,920
+الصح فيزيائيا انك
+
+443
+00:46:13,920 --> 00:46:21,790
+تحكي الجاذبية الأرضيةالـ A بساوية تسعة point
+
+444
+00:46:21,790 --> 00:46:34,570
+تمانية سفر ستة متر per second يعني
+
+445
+00:46:34,570 --> 00:46:41,750
+انا بحكي انا بعمل تسارع السرعة هذه السرعة بتقيل
+
+446
+00:46:41,750 --> 00:46:44,910
+بمعدل تسعة point تمانية سفر ستة متر per second في
+
+447
+00:46:44,910 --> 00:46:46,710
+كل ثانية انا بغير السرعة
+
+448
+00:46:49,550 --> 00:46:59,570
+ال V جاي لحاله بيساوي مثلا عشرة متر مثلا per
+
+449
+00:46:59,570 --> 00:47:10,410
+second كل عشر ثوانه بكون ماشي عشرة متر، واضحات؟ بس
+
+450
+00:47:10,410 --> 00:47:16,190
+هنا تسليلا تكتبالـ A سواء تسعة point تمانية سفر
+
+451
+00:47:16,190 --> 00:47:22,130
+ستة meter per second square بس و الأكتر دقة هذه
+
+452
+00:47:22,130 --> 00:47:25,150
+واضح
+
+453
+00:47:25,150 --> 00:47:30,010
+أنا بحكي أنا بحكي أنا بغير سرعة أنا هذه وحدات
+
+454
+00:47:30,010 --> 00:47:34,910
+السرعة في الثانية بغير تسعة وتسعة متر في الثانية
+
+455
+00:47:34,910 --> 00:47:39,450
+كل ثانية سؤال
+
+456
+00:47:39,450 --> 00:47:39,810
+تاني
+
+457
+00:47:42,810 --> 00:47:44,790
+هك نكون خلصنا الكلعة يعني
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/NCADGYurv0Y.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/NCADGYurv0Y.srt
new file mode 100644
index 0000000000000000000000000000000000000000..0e15ac97de5d03fa6da15a084e113069fc9eb329
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/NCADGYurv0Y.srt
@@ -0,0 +1,1183 @@
+1
+00:00:05,080 --> 00:00:07,800
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,800 --> 00:00:11,620
+وبركاته هنكمل في بداية الـ dynamics احنا في chapter
+
+3
+00:00:11,620 --> 00:00:15,060
+السبعتاشر نحكي عن الـ principle of impulse and
+
+4
+00:00:15,060 --> 00:00:20,760
+momentum اليوم هنحكي على التصادمات أو ما يسمى الـ
+
+5
+00:00:20,760 --> 00:00:24,880
+eccentric impact. eccentric impact يعني تصادم خط
+
+6
+00:00:24,880 --> 00:00:29,840
+عمل. تصادم ممرش في مراكز الثقل. يعني إذا عندك جسمين
+
+7
+00:00:33,870 --> 00:00:39,510
+و ها جسم ثاني هذا
+
+8
+00:00:39,510 --> 00:00:45,170
+خط عمل التصادم normal
+
+9
+00:00:45,170 --> 00:00:49,450
+خلنا
+
+10
+00:00:49,450 --> 00:00:54,110
+نحكي هذا مركز ثقل الجسم الأولاني. هذا مركز ثقل
+
+11
+00:00:54,110 --> 00:01:02,170
+الجسم الثاني. خط عمل التصادم ما ممرش في مركز الثقل طبعًا
+
+12
+00:01:02,170 --> 00:01:17,010
+قبل التصادم دي اسمها A، دي اسمها B. كأنّه بسرعة VA عند الـ
+
+13
+00:01:17,010 --> 00:01:28,000
+particle هذا، وعند VB هذا قبل التصادم. بعد التصادم
+
+14
+00:01:28,000 --> 00:01:35,380
+الصورة عند نقطة التلامس صارت مثلًا VA'
+
+15
+00:01:36,100 --> 00:01:39,600
+و VB'
+
+16
+00:01:40,200 --> 00:01:41,100
+هذا بعد التصادم
+
+17
+00:01:45,720 --> 00:01:48,240
+الآن أنا بعمل الـ process of impulse and momentum
+
+18
+00:01:48,240 --> 00:01:54,100
+عادي زائد بالزمن. المعادلة الثانية اللي هي معامل
+
+19
+00:01:54,100 --> 00:02:00,860
+الارتداد. معامل الارتداد. معامل الارتداد E بصفة
+
+20
+00:02:00,860 --> 00:02:05,320
+عامة = minus relative velocity في اتجاه الـ normal direction
+
+21
+00:02:05,320 --> 00:02:08,300
+عن نقطة الصدر. relative velocity في اتجاه الـ normal
+
+22
+00:02:08,300 --> 00:02:16,410
+direction. في اتجاه الصدر يعني هيكون VB prime normal
+
+23
+00:02:16,410 --> 00:02:27,630
+ناقص VA prime normal على VB normal قبل التصادم
+
+24
+00:02:27,630 --> 00:02:34,610
+ناقص VA normal قبل التصادم. هذه الـ relation
+
+25
+00:02:34,610 --> 00:02:39,470
+الإضافية. نشوف
+
+26
+00:02:39,470 --> 00:02:41,810
+مثالًا
+
+27
+00:03:11,680 --> 00:03:17,340
+في عندي plate مربع
+
+28
+00:03:17,340 --> 00:03:25,260
+ثمانية عشر
+
+29
+00:03:25,260 --> 00:03:29,420
+انش في ثمانية عشر انش
+
+30
+00:03:40,340 --> 00:03:49,600
+طيب في رصاصة وزنها point
+
+31
+00:03:49,600 --> 00:03:54,160
+أو خمسة pound تم إطلاقها
+
+32
+00:04:09,240 --> 00:04:15,900
+بسرعة 1500 قدم في الثانية. V
+
+33
+00:04:15,900 --> 00:04:23,420
+bullet تم إطلاقها بسرعة 1500 قدم في الثانية على الـ
+
+34
+00:04:23,420 --> 00:04:30,080
+plate يعني الـ
+
+35
+00:04:30,080 --> 00:04:35,500
+plate وزنه 20 pound. وزن الـ plate
+
+36
+00:04:38,400 --> 00:04:45,020
+عشرين pound وكان
+
+37
+00:04:45,020 --> 00:04:49,360
+في حالة سكون في الأول، وفي محور دوران عن نقطة A
+
+38
+00:04:49,360 --> 00:04:57,960
+هذه النقطة A. determine
+
+39
+00:04:57,960 --> 00:05:01,930
+the angular velocity of the panel immediately after
+
+40
+00:05:01,930 --> 00:05:06,850
+the bullet becomes embedded. لأن الرصاص أطلقت
+
+41
+00:05:06,850 --> 00:05:11,730
+وانغرزت في الجسم، صار جزء منه. لاحظ الـ الـ الـ
+
+42
+00:05:11,730 --> 00:05:15,610
+الـ plate وزنه عشرين، والـ bullet خمسة. يعني لو
+
+43
+00:05:15,610 --> 00:05:25,510
+حكينا عشرين على point أو خمسة يعني
+
+44
+00:05:25,510 --> 00:05:29,610
+... يعني حوالي أربعة صح؟
+
+45
+00:05:34,110 --> 00:05:38,850
+لأ، أربعة مضروب في مئة، هاي الألف على خمسة، أربعة مئة
+
+46
+00:05:38,850 --> 00:05:45,550
+يعني وزن الـ plate أربعة مئة، ضعيف وزن الرصاصة. اجمع الـ
+
+47
+00:05:45,550 --> 00:05:48,410
+rest of the panel immediately after the bullet
+
+48
+00:05:48,410 --> 00:05:52,550
+becomes embedded. لأن
+
+49
+00:05:52,550 --> 00:05:56,170
+نيجي
+
+50
+00:05:56,170 --> 00:06:01,210
+... لأن الجسم درسته رصاصة
+
+51
+00:06:01,210 --> 00:06:08,860
+مع الـ plate. قبل التصادم عندي
+
+52
+00:06:08,860 --> 00:06:12,520
+mBv
+
+53
+00:06:12,520 --> 00:06:26,460
+Bullet قبل التصادم. هذه
+
+54
+00:06:26,460 --> 00:06:31,400
+المسافة أربعة عشر
+
+55
+00:06:31,400 --> 00:06:31,840
+انش
+
+56
+00:06:46,930 --> 00:06:53,870
+زائد هيكون عندي هي الـ A. بدي أحكي هي أن أنا عندي ry
+
+57
+00:06:53,870 --> 00:06:57,230
+و
+
+58
+00:06:57,230 --> 00:07:05,990
+rx في T طبعًا. دلتا T. دلتا T عندي W
+
+59
+00:07:08,720 --> 00:07:15,960
+Panel في الـ Delta T الصفحة
+
+60
+00:07:15,960 --> 00:07:26,340
+حمّي وزنها حيث ساوي. مابع
+
+61
+00:07:26,340 --> 00:07:33,320
+التصادم هيكون
+
+62
+00:07:33,320 --> 00:07:44,260
+لمركز ثقل m Panel v panel prime. لأنه هيكون دوران
+
+63
+00:07:44,260 --> 00:07:53,660
+حول النقطة هذه. وهذه I panel. I
+
+64
+00:07:53,660 --> 00:08:02,880
+panel في omega panel prime بعد التصادم. يعني moment
+
+65
+00:08:02,880 --> 00:08:03,560
+واحد
+
+66
+00:08:08,990 --> 00:08:20,850
+زائد الـ impulse. واحد اثنين مستوى momenta اثنين
+
+67
+00:08:40,520 --> 00:08:48,280
+النقطة هذه handled. الآن خذ
+
+68
+00:08:48,280 --> 00:08:56,260
+الـ moment حوالين A. moment of
+
+69
+00:08:56,260 --> 00:09:01,520
+moment about
+
+70
+00:09:01,520 --> 00:09:04,820
+A
+
+71
+00:09:11,050 --> 00:09:15,450
+هيكون عندي mB m
+
+72
+00:09:15,450 --> 00:09:26,250
+bullet V bullet في أربعة عشر صح؟ مظبوط أربعة عشر
+
+73
+00:09:26,250 --> 00:09:30,050
+زائد
+
+74
+00:09:30,050 --> 00:09:39,290
+هذه جاي عن نقطة A؟ خلاص، اتمركز فيها صفر صح؟
+
+75
+00:09:39,290 --> 00:09:40,450
+بالتساوي
+
+76
+00:09:43,350 --> 00:09:47,110
+أنا هعتبر مركز استغلال مكانه ما اتغيرش تقريبًا
+
+77
+00:09:47,110 --> 00:09:54,210
+هيكون ممكن
+
+78
+00:09:54,210 --> 00:10:00,210
+أحكي mB VB
+
+79
+00:10:00,210 --> 00:10:10,130
+Prime في في ستة في تسعة زائد
+
+80
+00:10:10,130 --> 00:10:22,520
+Ip Omega P Prime. هاي
+
+81
+00:10:22,520 --> 00:10:30,460
+الخيار. أو أحكي Ip
+
+82
+00:10:30,460 --> 00:10:40,280
+حول A Omega Plate Prime
+
+83
+00:10:43,900 --> 00:10:59,820
+موت ونرشة حوالين النقطة A طيب
+
+84
+00:10:59,820 --> 00:11:03,620
+يعني
+
+85
+00:11:03,620 --> 00:11:11,320
+عند الـ bullet وزن أو نحسب الـ I بتاعة الـ plate
+
+86
+00:11:14,370 --> 00:11:18,770
+A تاعت الـ plate؟
+
+87
+00:11:18,770 --> 00:11:25,510
+سدوس m
+
+88
+00:11:25,510 --> 00:11:34,130
+اللي هو ده... ده خليه يعتبره A صح؟ A ترجع؟
+
+89
+00:11:34,130 --> 00:11:37,590
+مربع لأنه هيكون سدوس
+
+90
+00:11:40,430 --> 00:11:48,830
+عند الـ plate اللي هو كم؟ عشرين على اثنين وثلاثين
+
+91
+00:11:48,830 --> 00:11:58,830
+واتنين من عشرة في الـ a هي ثمانية عشر تربيع صح؟
+
+92
+00:11:58,830 --> 00:12:04,850
+ثمانية عشر... ثمانية عشر
+
+93
+00:12:04,850 --> 00:12:07,070
+انش. يعني هيكون واحد ونصف
+
+94
+00:12:11,820 --> 00:12:20,280
+تربيع. ملاحظة أننا نتابع أربعة عشر على اتِّباع
+
+95
+00:12:20,280 --> 00:12:24,500
+أحسبه A اه point
+
+96
+00:12:24,500 --> 00:12:29,220
+اثنين point. اثنين point. اثنين point. اثنين point
+
+97
+00:12:29,220 --> 00:12:34,240
+اثنين
+
+98
+00:12:37,690 --> 00:12:42,570
+يعني أنا عند الـ bullet اللي هي وزنها point أو خمسة
+
+99
+00:12:42,570 --> 00:12:52,050
+على اثنين وثلاثين واتنين من عشرة في سرعتها ألف وخمس
+
+100
+00:12:52,050 --> 00:13:00,690
+مئة في أربعة عشر على اثنا عشر الطول كنت ساو
+
+101
+00:13:00,690 --> 00:13:04,050
+point اثنين ثلاثة
+
+102
+00:13:06,070 --> 00:13:13,430
+بين omega plate prime ومنها
+
+103
+00:13:13,430 --> 00:13:26,530
+بحسب omega plate سرعة دورانية بعد التصادم 11.7
+
+104
+00:13:26,530 --> 00:13:30,450
+radian
+
+105
+00:13:30,450 --> 00:13:42,040
+لكل second. هذا المطلوب الأول. المطلوب الثاني بده
+
+106
+00:13:42,040 --> 00:13:46,840
+the impulsive reaction at A assuming that the
+
+107
+00:13:46,840 --> 00:13:52,260
+bullet becomes embedded in point O. O O second. بده
+
+108
+00:13:52,260 --> 00:13:59,420
+الـ reaction هنا على فرض أن عملية الانغراز للرصاصة
+
+109
+00:13:59,420 --> 00:14:02,760
+تمت خلال point O O O ستة second. يعني الـ time
+
+110
+00:14:09,300 --> 00:14:33,960
+صارت O O O second. احنا
+
+111
+00:14:33,960 --> 00:14:37,940
+عندنا هاي الـ X وهاي
+
+112
+00:14:40,520 --> 00:14:55,880
+الـ Y. أنا
+
+113
+00:14:55,880 --> 00:15:04,080
+هاخذ الـ system كله مع بعضه. آخذ along moment
+
+114
+00:15:04,080 --> 00:15:05,660
+along الـ X axis
+
+115
+00:15:09,730 --> 00:15:15,930
+هيكون mB mB
+
+116
+00:15:15,930 --> 00:15:23,310
+VB زائد
+
+117
+00:15:23,310 --> 00:15:32,730
+Rx Delta T بتساوي
+
+118
+00:15:32,730 --> 00:15:37,770
+mB VB
+
+119
+00:15:40,290 --> 00:15:47,850
+Prime. طبعًا الـ VP Prime. So
+
+120
+00:15:47,850 --> 00:15:55,810
+Omega P Prime في R اللي هي التسعة على ثمانية عشر هنا
+
+121
+00:15:55,810 --> 00:15:59,850
+هتكون خمسة
+
+122
+00:15:59,850 --> 00:16:07,270
+Bond. ثمانية سفر
+
+123
+00:16:07,270 --> 00:16:09,830
+ستة
+
+124
+00:16:12,760 --> 00:16:21,460
+قدم وضبطي كر رقم per second. ثمانية
+
+125
+00:16:21,460 --> 00:16:29,760
+point خمسة point تسعة على اثنا عشر
+
+126
+00:16:29,760 --> 00:16:33,980
+صح ثمانية point
+
+127
+00:16:41,750 --> 00:16:46,370
+هاي الـ VP Prime. يعني هيكون معناه أن أنا أجي
+
+128
+00:16:46,370 --> 00:16:53,790
+أعود هنا الـ bullet اللي هي point أو خمسة على اثنين
+
+129
+00:16:53,790 --> 00:17:04,650
+وثلاثين واتنين من عشرة في ألف وخمس مئة زائد Rx في
+
+130
+00:17:04,650 --> 00:17:05,430
+الـ Delta T
+
+131
+00:17:10,720 --> 00:17:17,500
+بتساوي عشرين على اثنين وثلاثين واتنين من عشرة في
+
+132
+00:17:17,500 --> 00:17:24,260
+ثمانية بين سبعة وثمانية أربعة. منها بحسب الـ Rx
+
+133
+00:17:24,260 --> 00:17:30,680
+بتساوي
+
+134
+00:17:30,680 --> 00:17:38,280
+لسه
+
+135
+00:17:38,280 --> 00:17:48,020
+ما اشتغلناش على الـ Y axis. احنا في الـ X axis حاليًا
+
+136
+00:17:48,020 --> 00:17:53,480
+خمسة
+
+137
+00:17:53,480 --> 00:18:05,300
+تلاف ومئتين. خلاص pound. هيتان ممكن
+
+138
+00:18:05,300 --> 00:18:07,860
+أحمل اللي أنا بتاخده في اتجاه الـ Y. الـ momentum
+
+139
+00:18:07,860 --> 00:18:09,540
+along
+
+140
+00:18:11,520 --> 00:18:22,460
+بدي أحسب الـ momentum along الـ Y axis خليني
+
+141
+00:18:22,460 --> 00:18:27,320
+أحمل وما أحملش وأشوف إيش الفرق. يعني هيكون عندي
+
+142
+00:18:27,320 --> 00:18:34,980
+ما فيش شيء. يعني هيكون Ry Delta T ناقص
+
+143
+00:18:34,980 --> 00:18:39,800
+W Delta T بتساوي
+
+144
+00:18:43,970 --> 00:18:55,090
+ساوي إيش؟ Zero هتطلع
+
+145
+00:18:55,090 --> 00:18:59,250
+الـ Ry Ry
+
+146
+00:18:59,250 --> 00:19:07,010
+ساوي الـ W. يعني الـ pound ساوي عشرين pound
+
+147
+00:19:10,910 --> 00:19:16,710
+يعني صغير جدًا بالمقارنة مع Rx. لأن معظم الزخم
+
+148
+00:19:16,710 --> 00:19:24,810
+جايلك من اتجاه الأفق. الزخم جاي من الرصاصة لكن
+
+149
+00:19:24,810 --> 00:19:28,930
+لو كانت الرصاصة جاي من ميل، هختار بعض وبعض يا
+
+150
+00:19:28,930 --> 00:19:33,770
+ممكن أحمل إيش الـ الـ W في الحالة دي مش صح أحمل
+
+151
+00:19:33,770 --> 00:19:40,290
+الـ W أساسًا هتكون كيف؟ ممسوكة باتجاه y-axis رد
+
+152
+00:19:40,290 --> 00:19:48,510
+الفعل يعني أن أنا بمنع الحركة باتجاه الـ Y. ماشي. في
+
+153
+00:19:48,510 --> 00:19:55,370
+أي سؤال؟ خلصنا
+
+154
+00:19:55,370 --> 00:19:56,730
+سؤال ثاني؟
+
+155
+00:20:07,370 --> 00:20:12,810
+يعني الرصاص أصبح الآن جوا، وليه... انغرزت يعني
+
+156
+00:20:12,810 --> 00:20:15,450
+اتوقفت. يعني الاثنين اتحركوا... اتحركوا مع بعض
+
+157
+00:20:15,450 --> 00:20:19,970
+بعدين الرصاص particle يعني الرصاص الرصاص
+
+158
+00:20:19,970 --> 00:20:25,090
+particle لأن حجمها صغير جدًا، والـ plate rigid body
+
+159
+00:20:25,090 --> 00:20:33,630
+طيب
+
+160
+00:21:29,150 --> 00:21:37,270
+في عندي رد أو عندي a two kilogram sphere with an
+
+161
+00:21:37,270 --> 00:21:40,290
+initial velocity of five meters per second strikes
+
+162
+00:21:40,290 --> 00:21:45,710
+the lower end of an eight kilogram rod AB. عندي
+
+163
+00:21:45,710 --> 00:21:52,290
+كرة كتلتها اثنين
+
+164
+00:21:52,290 --> 00:22:01,190
+kilogram كانت ماشية بسرعة V. كرة خمسة متر على
+
+165
+00:22:01,190 --> 00:22:07,770
+الثانية اصطدمت
+
+166
+00:22:07,770 --> 00:22:14,910
+بالرد من الطرف السفلي. الرد كتلته ثمانية كيلوجرام
+
+167
+00:22:14,910 --> 00:22:20,110
+m rod ثمانية
+
+168
+00:22:20,110 --> 00:22:27,810
+كيلوجرام. الرد
+
+169
+00:22:29,090 --> 00:22:35,430
+فيها hinge يعني نقطة A هذه A هذه
+
+170
+00:22:35,430 --> 00:22:39,190
+B هذه G
+
+171
+00:22:44,830 --> 00:22:48,350
+كان في البداية في حالة سكون. initially at rest
+
+172
+00:22:48,350 --> 00:22:53,210
+the coefficient of restitution between the rod and
+
+173
+00:22:53,210 --> 00:22:58,510
+the sphere is point eight. معامل ارتداد بين الكرة
+
+174
+00:22:58,510 --> 00:23:05,650
+والرد. ثمانية من عشرة. إيه؟ ساوي ثمانية من عشرة
+
+175
+00:23:11,330 --> 00:23:17,590
+immediately after the impact. أوجد السرعة الزاوية
+
+176
+00:23:17,590 --> 00:23:20,490
+للرد وسرعة الكرة
+
+177
+00:23:31,420 --> 00:23:37,980
+يعني لو بدي أرسم الـ الـ system الـ الـ impulse
+
+178
+00:23:37,980 --> 00:23:46,300
+momentum figure. يعني هيكون عندي خلال فترة التصادم
+
+179
+00:23:46,300 --> 00:23:54,480
+هيكون
+
+180
+00:23:54,480 --> 00:23:59,540
+عندي Ry Delta T
+
+181
+00:24:05,120 --> 00:24:13,380
+Rx Delta T. هذا خلال فترة الصدمة طبعًا. في internal
+
+182
+00:24:13,380 --> 00:24:24,680
+force عند هاي أنا أكون عندي اثنين F Delta T وفي عندي
+
+183
+00:24:24,680 --> 00:24:28,680
+الوزن يتعرض
+
+184
+00:24:28,680 --> 00:24:44,970
+اللي هو W rod Delta T و W sphere Delta T هيكون الساوي
+
+185
+00:24:44,970 --> 00:24:53,750
+بعد
+
+186
+00:24:53,750 --> 00:25:00,230
+التصادم الـ
+
+187
+00:25:00,230 --> 00:25:00,830
+رد هيدور
+
+188
+00:25:10,820 --> 00:25:25,780
+m rod v rod prime. والكرة
+
+189
+00:25:25,780 --> 00:25:29,040
+هيكون
+
+190
+00:25:29,040 --> 00:25:45,080
+لها m sphere v sphere X. خليني أسميها و Lها m
+
+191
+00:25:45,080 --> 00:25:53,940
+sphere V sphere و Y. خليني أحكي prime أو خليني أستخدم
+
+192
+00:25:53,940 --> 00:26:00,060
+مصطلح نحكي
+
+193
+00:26:00,060 --> 00:26:04,220
+هذا الـ normal direction. هذا الـ normal direction
+
+194
+00:26:07,990 --> 00:26:12,390
+أحكي m sphere V
+
+195
+00:26:12,390 --> 00:26:20,890
+sphere normal prime. يعني دي m sphere V sphere tangential
+
+196
+00:26:20,890 --> 00:26:26,210
+prime عند
+
+197
+00:26:26,210 --> 00:26
+
+223
+00:30:00,060 --> 00:30:02,040
+ثمانية
+
+224
+00:30:03,730 --> 00:30:09,690
+في واحد واثنين من عشرة تربيع يعني هتكون one point
+
+225
+00:30:09,690 --> 00:30:19,250
+four four أي كم؟ ثلاثة point ثمانية أربعة kilogram
+
+226
+00:30:19,250 --> 00:30:25,910
+متر مربع نعود
+
+227
+00:30:25,910 --> 00:30:29,730
+هنا هيكون واحد واثنين من عشرة في الـأم بتاعة
+
+228
+00:30:29,730 --> 00:30:37,900
+الاسفير اللي هي 2V الاسفير في خمسة حيث تساوي الـ
+
+229
+00:30:37,900 --> 00:30:44,640
+I رد هتكون ثلاثة point ثمانية أربعة Omega
+
+230
+00:30:44,640 --> 00:30:55,420
+R prime زائد M اسفير اللي هي اثنين في
+
+231
+00:30:55,420 --> 00:31:03,860
+الـ V اسفير normal prime في واحد point اثنين يعني
+
+232
+00:31:03,860 --> 00:31:08,820
+هيكون عندي اثني عشر اثني عشر
+
+233
+00:31:08,820 --> 00:31:17,300
+بالمساواة ثلاثة point ثمانية أربعة omega rod prime
+
+234
+00:31:17,300 --> 00:31:29,100
+زائد اثنين point أربعة V سفير normal prime عندي
+
+235
+00:31:29,100 --> 00:31:35,930
+مجهولين، بدي معادلة ثانية، الـ E ممكن نستخدم معادلة
+
+236
+00:31:35,930 --> 00:31:48,870
+اللي هو الارتداد، الـ E بالمساواة
+
+237
+00:31:48,870 --> 00:31:54,970
+ناقص relativistic
+
+238
+00:31:54,970 --> 00:32:01,290
+باتجاه نقطة التصادم على
+
+239
+00:32:02,500 --> 00:32:05,660
+رد الفلصة قبل التصادم باتجاه الـ normal direction
+
+240
+00:32:05,660 --> 00:32:11,500
+هيكون minus V
+
+241
+00:32:11,500 --> 00:32:25,560
+sphere normal prime minus V رد normal
+
+242
+00:32:25,560 --> 00:32:37,080
+prime على V سفير normal minus v rod normal طبعا هذا
+
+243
+00:32:37,080 --> 00:32:47,560
+at at b صح، عشان نكون واضحين، عندها هيكون ثمانية من
+
+244
+00:32:47,560 --> 00:32:51,160
+عشرة بتساوي
+
+245
+00:32:51,160 --> 00:32:59,840
+minus اللي
+
+246
+00:32:59,840 --> 00:33:10,270
+هي v sphere normal prime minus V رد عندنا
+
+247
+00:33:10,270 --> 00:33:15,210
+نقطة هذه V
+
+248
+00:33:15,210 --> 00:33:19,390
+رد normal
+
+249
+00:33:19,390 --> 00:33:26,410
+prime عند B هتكون تساوي omega prime ووقع بستوى one
+
+250
+00:33:26,410 --> 00:33:32,470
+point two في omega prime صح؟
+
+251
+00:33:35,680 --> 00:33:42,360
+و الـ Vs Normal هاي
+
+252
+00:33:42,360 --> 00:33:50,880
+الـ Normal اللي هي خمسة و
+
+253
+00:33:50,880 --> 00:33:57,980
+الـ
+
+254
+00:33:57,980 --> 00:34:06,910
+VR Normal أفو بالمساواة صفر، قصدي يعني هيكون minus vs
+
+255
+00:34:06,910 --> 00:34:11,930
+normal minus vr normal prime اللي هي one point two
+
+256
+00:34:11,930 --> 00:34:19,170
+omega prime على
+
+257
+00:34:19,170 --> 00:34:23,350
+الخمسة
+
+258
+00:34:23,350 --> 00:34:30,310
+minus خمسة يعني
+
+259
+00:34:30,310 --> 00:34:36,900
+الخمسة تم إلى عشر أربعة، هيكون ناقص أربعة، بتساوي vs
+
+260
+00:34:36,900 --> 00:34:59,560
+normal prime minus one point two omega prime يعني
+
+261
+00:34:59,560 --> 00:35:02,500
+خلينا نحكي هذه المعادلة رقم واحد
+
+262
+00:35:06,750 --> 00:35:14,610
+مظبوط، هحكي أن أنا vs normal prime هتكون واحد point
+
+263
+00:35:14,610 --> 00:35:24,670
+اثنين omega r prime ناقص أربعة، صح؟ هذا معادلة اثنين
+
+264
+00:35:24,670 --> 00:35:27,790
+أعوض
+
+265
+00:35:27,790 --> 00:35:34,190
+اثنين في واحد يعني هيكون عندي اثني عشر بتساوي
+
+266
+00:35:36,020 --> 00:35:47,280
+ثلاثة point ثمانية أربعة Omega رد prime زائد اثنين
+
+267
+00:35:47,280 --> 00:35:50,780
+وأربعة من عشرة نعود عن V S North Prime اللي هي واحد
+
+268
+00:35:50,780 --> 00:35:56,800
+واثنين من عشرة Omega رد prime ناقص أربعة
+
+269
+00:36:03,800 --> 00:36:10,700
+يعني أنت هيكون اثنين point أربعة في أربعة تسعة point
+
+270
+00:36:10,700 --> 00:36:18,940
+ستة صح، تسعة point ستة ناقص اثني عشر يعني اثنين point
+
+271
+00:36:18,940 --> 00:36:24,680
+اثنين اثنين point أربعة صح، هيكون اثنين point أربعة
+
+272
+00:36:24,680 --> 00:36:28,540
+لأ
+
+273
+00:36:28,540 --> 00:36:29,120
+هنجمع
+
+274
+00:36:32,620 --> 00:36:39,960
+هيكون عندي تسعة واثني عشر واحد وعشرون point ستة
+
+275
+00:36:39,960 --> 00:36:48,420
+بالمساواة هذا اثنين point ثمانية
+
+276
+00:36:48,420 --> 00:36:56,640
+ثمانية زي ثلاثة point ثمانية أربعة هكذا بتطلع ستة
+
+277
+00:36:56,640 --> 00:37:02,300
+point سبعة اثنين omega R prime ومن هنا بحسب الـ
+
+278
+00:37:02,300 --> 00:37:12,880
+omega R prime ثلاثة
+
+279
+00:37:12,880 --> 00:37:17,480
+point راديان
+
+280
+00:37:17,480 --> 00:37:19,880
+per second
+
+281
+00:37:25,720 --> 00:37:30,800
+الحد المطلوب الأول، بدي الـ velocity للأسفير بعد
+
+282
+00:37:30,800 --> 00:37:38,040
+التصادم، بعد بحسب vs normal prime هتكون واحد اثنين
+
+283
+00:37:38,040 --> 00:37:49,660
+من عشرة في ثلاثة point اثنين واحد ناقص أربعة آه
+
+284
+00:37:49,660 --> 00:37:51,120
+عكس الاتجاه سالب
+
+285
+00:37:56,220 --> 00:38:05,900
+point واحد أربعة ثمانية meter per second طيب
+
+286
+00:38:05,900 --> 00:38:17,920
+طبعا بدي أحسب بالـ .. باتجاه الـ .. الـ tangential
+
+287
+00:38:19,840 --> 00:38:27,600
+direction يعني هاخد الـ momentum along الـ Y ناخد الـ
+
+288
+00:38:27,600 --> 00:38:34,060
+momentum along
+
+289
+00:38:34,060 --> 00:38:47,180
+الـ Y نعتبرها دقيقة موجة فش هنا مظبوط
+
+290
+00:38:55,950 --> 00:39:02,950
+هيكون عندنا ري
+
+291
+00:39:02,950 --> 00:39:08,490
+دلتا
+
+292
+00:39:08,490 --> 00:39:13,270
+T minus
+
+293
+00:39:13,270 --> 00:39:17,250
+W رد دلتا
+
+294
+00:39:17,250 --> 00:39:26,130
+T ممكن أحمل الـ Sphere minus W Sphere Delta T
+
+295
+00:39:26,130 --> 00:39:30,550
+بتساوي
+
+296
+00:39:30,550 --> 00:39:38,010
+M Sphere T
+
+297
+00:39:38,010 --> 00:39:45,730
+Prime الآن في معلومة ثانية أن
+
+298
+00:39:49,620 --> 00:39:53,600
+tangential أو لو أخذنا الاسفير لحاله .. الاسفير
+
+299
+00:39:53,600 --> 00:39:58,660
+لحاله وهي particle المومنتوم اللي في اتجاه الـ
+
+300
+00:39:58,660 --> 00:40:03,500
+tangential direction conserved صح؟ عم بدي أحكي هنا
+
+301
+00:40:03,500 --> 00:40:09,180
+مش هتلزمنا هذا .. بقول هنا أحكي ده momentum
+
+302
+00:40:17,170 --> 00:40:25,030
+of the sphere is
+
+303
+00:40:25,030 --> 00:40:32,250
+conserved along
+
+304
+00:40:32,250 --> 00:40:35,390
+the
+
+305
+00:40:35,390 --> 00:40:43,010
+tangential direction
+
+306
+00:40:48,000 --> 00:40:59,060
+المومنتوم هتكون V S tangential prime بس هو V S tangential
+
+307
+00:40:59,060 --> 00:41:07,920
+صفر
+
+308
+00:41:07,920 --> 00:41:13,860
+هو
+
+309
+00:41:13,860 --> 00:41:18,490
+anyway مش هتقدر تحلها لو عندك،المفروض تطلع صفر،
+
+310
+00:41:18,490 --> 00:41:20,770
+لازم تكون عندك delta T بالمساواة، لازم تكون على الـ
+
+311
+00:41:20,770 --> 00:41:31,910
+delta T طبعا
+
+312
+00:41:31,910 --> 00:41:36,910
+هذا مش واقع ١٠٠٪ تقريبا، لأن أنت لما تيجي تخبط
+
+313
+00:41:36,910 --> 00:41:40,130
+الكورة بالـ .. بالرد
+
+314
+00:41:45,730 --> 00:41:50,450
+لأن احنا كلّه فرضيات أنّه rigid الكورة بيصير فيها
+
+315
+00:41:50,450 --> 00:41:52,430
+إيش؟ وهذا بيصير فيه deformation بيصير الكورة وأدر
+
+316
+00:41:52,430 --> 00:41:56,530
+ما هي تلاحظ التصادم؟ بيصير فيها deformation بيصير
+
+317
+00:41:56,530 --> 00:42:02,510
+زي هيك مسطحة كبيرة كتير، أنا أطلعها في neural fairs
+
+318
+00:42:02,510 --> 00:42:08,430
+يعني أن في إيش عندي إيش؟ friction هيكون في عندي
+
+319
+00:42:08,430 --> 00:42:15,210
+friction زائد الوزن تاع على تحت، معناتها مش ١٠٠٪
+
+320
+00:42:15,210 --> 00:42:23,050
+كونزرفد، هذه فرضية، أعطيكم
+
+321
+00:42:23,050 --> 00:42:25,150
+العافية، نكمل المحاضرات جاي إن شاء الله
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/QyvaNvtmBGo.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/QyvaNvtmBGo.srt
new file mode 100644
index 0000000000000000000000000000000000000000..4aa4c09a1987ac035003a8ada115de1e986a6249
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/QyvaNvtmBGo.srt
@@ -0,0 +1,1306 @@
+1
+00:00:05,420 --> 00:00:08,320
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,320 --> 00:00:12,960
+وبركاته هنكمل في معادلة الـ dynamica احنا كنا نحكي عن
+
+3
+00:00:12,960 --> 00:00:17,560
+kinematics of rigid bodies chapter خمسة و خمسين المحاضرة
+
+4
+00:00:17,560 --> 00:00:21,540
+الْفاتحة حكينا عن الـ Coriolis acceleration حلينا
+
+5
+00:00:21,540 --> 00:00:26,960
+example هنحل example هو عبارة عن مسألة في الكتاب
+
+6
+00:00:26,960 --> 00:00:30,880
+مسألة خمسة و خمسين و اثنين و خمسين و مسألة خمسة و خمسين
+
+7
+00:00:30,880 --> 00:00:31,780
+و ثلاثة و خمسين
+
+8
+00:00:35,380 --> 00:00:45,620
+المثال عندي ميكانزم جاية بشكلين أو
+
+9
+00:00:45,620 --> 00:00:53,580
+الـ 552 هذا الـ link a,b الـ
+
+10
+00:00:53,580 --> 00:00:59,840
+slider is pinned بلف معاها و الـ slider is slides
+
+11
+00:00:59,840 --> 00:01:08,910
+في الـ link b,p في المثال الثاني الـ slider بيعمل
+
+12
+00:01:08,910 --> 00:01:18,390
+sliding في الـ link AD و pinned للـ link ب AP
+
+13
+00:01:18,390 --> 00:01:25,890
+فبيختلفوا عن بعض، فهذه المرة الحالة هذه طبعًا في
+
+14
+00:01:25,890 --> 00:01:26,570
+الحالتين
+
+15
+00:01:32,090 --> 00:01:40,850
+Omega A بيساوي عشر radians per second بيساوي
+
+16
+00:01:40,850 --> 00:01:47,150
+عشرة radians per second وفي Alpha A بيساوي عشر
+
+17
+00:01:47,150 --> 00:01:55,070
+radians per second معطيين البعد بيساوي ثلاثمائة ملي
+
+18
+00:01:55,070 --> 00:01:58,530
+طيب
+
+19
+00:02:02,460 --> 00:02:05,340
+ده لازم أعرف، أعرف نظامين الإحداثيات، نظام
+
+20
+00:02:05,340 --> 00:02:11,800
+إحداثيات ثابت و نظام إحداثيات بدور أو متحرك، نظام
+
+21
+00:02:11,800 --> 00:02:17,900
+الإحداثيات متحرك إذا في عندي some part sliding
+
+22
+00:02:17,900 --> 00:02:23,500
+بالنسبة لـ other part يعني عندي مثلًا الـ roller هادي
+
+23
+00:02:23,500 --> 00:02:29,700
+slide بالنسبة لهذا، بيعني هحكي هاي المحاور متحرك
+
+24
+00:02:34,710 --> 00:02:41,310
+هذا X صغير Y
+
+25
+00:02:41,310 --> 00:02:52,670
+صغير والمحور الثابت X
+
+26
+00:02:52,670 --> 00:02:59,490
+كابيتال Y
+
+27
+00:02:59,490 --> 00:03:09,120
+كابيتال الـ X كابيتال Y capital هو الـ fixed frame
+
+28
+00:03:09,120 --> 00:03:20,260
+preference الـ X small و Y small هو rotating frame
+
+29
+00:03:20,260 --> 00:03:24,420
+و
+
+30
+00:03:24,420 --> 00:03:25,020
+attached
+
+31
+00:03:34,190 --> 00:03:51,590
+to link to link بي إيه؟ عندي هذه بي هذه آيه هذه بي
+
+32
+00:03:51,590 --> 00:03:57,850
+هذه آيه هذه الزاوية ستين هذه
+
+33
+00:03:57,850 --> 00:04:03,130
+الزاوية عشرين معناته هذه الزاوية قيمتها هتكون
+
+34
+00:04:07,030 --> 00:04:12,050
+أربعين صح؟ فانت تساوي خارج المثلثات هذه بتساوي هذه
+
+35
+00:04:12,050 --> 00:04:28,230
+زائد هذه هذه هتكون أربعين الآن
+
+36
+00:04:28,230 --> 00:04:34,650
+الـ VB الـ VB P
+
+37
+00:04:38,940 --> 00:04:58,100
+بيساو الـ V relative زائد V P Prime كـ vector النقطة
+
+38
+00:04:58,100 --> 00:05:03,060
+P هي totally defined totally defined by الـ
+
+39
+00:05:03,060 --> 00:05:04,620
+rotation للـ link AB
+
+40
+00:05:11,260 --> 00:05:18,740
+هذه بتدور Clockwise Clockwise صح Clockwise
+
+41
+00:05:18,740 --> 00:05:23,060
+معناته هتكون
+
+42
+00:05:23,060 --> 00:05:31,960
+هذه VP يعني
+
+43
+00:05:31,960 --> 00:05:36,440
+الـ VP قيمتها
+
+44
+00:05:36,440 --> 00:05:45,100
+بالثانية Omega A في إيش؟ في AB أمجية
+
+45
+00:05:45,100 --> 00:05:53,500
+أكم معطينيها عشرة في الـ AB هو
+
+46
+00:05:53,500 --> 00:05:57,980
+معطيني الـ AB أكم ثلاثمائة صح؟ هذه ثلاثمائة
+
+47
+00:06:18,440 --> 00:06:23,240
+مازال الزوايا هاد معروفة، خذ اعمل الـ sign له، هحكي
+
+48
+00:06:23,240 --> 00:06:30,120
+ثلاثمائة الـ sign له ثلاثمائة على الـ sign الأربعين أو
+
+49
+00:06:30,120 --> 00:06:37,560
+خذ احكي اللي هو AP على
+
+50
+00:06:37,560 --> 00:06:42,100
+الـ sign العشرين بالساوية
+
+51
+00:06:42,100 --> 00:06:43,600
+ثلاثمائة على الـ sign الأربعين
+
+52
+00:06:49,540 --> 00:06:55,140
+بتساوي بي بي على
+
+53
+00:06:55,140 --> 00:07:08,660
+الـ sign المئة و عشرين يعني
+
+54
+00:07:08,660 --> 00:07:17,710
+منها بحسب AB هيكون ساوى ثلاثمائة الـ sign العشرين على
+
+55
+00:07:17,710 --> 00:07:27,350
+サイン الأربعين ثلاثمائة ساين المئة وعشرين على ساين
+
+56
+00:07:27,350 --> 00:07:33,910
+الأربعين ثلاث
+
+57
+00:07:33,910 --> 00:07:40,030
+مائة ساين المئة وعشرين على ساين الأربعين
+
+58
+00:07:56,300 --> 00:08:00,760
+معناته VP هيكون قيمتها عشرة اللي هي في الثلاثمائة عشرة
+
+59
+00:08:00,760 --> 00:08:09,180
+في الـ AP اللي هو ثلاثمائة وسبعين point ستة
+
+60
+00:08:09,180 --> 00:08:12,940
+هتطلع ثلاثة آلاف
+
+61
+00:08:17,100 --> 00:08:20,040
+خلنا نقسمها على ألف عشان نحولها لـ millimeter لـ
+
+62
+00:08:20,040 --> 00:08:30,640
+meter يعني هتكون ثلاثة point ستة سبعة ستة meter
+
+63
+00:08:30,640 --> 00:08:42,160
+per second صح هذا
+
+64
+00:08:42,160 --> 00:08:45,800
+الـ Vp يعني Vp
+
+65
+00:08:49,890 --> 00:08:58,750
+كـ vector بيساوي ٣.٦٧٦ متر per second و بتعمل زاوية
+
+66
+00:08:58,750 --> 00:09:04,570
+ستين مع
+
+67
+00:09:04,570 --> 00:09:14,450
+الافقي okay ستين
+
+68
+00:09:19,470 --> 00:09:24,730
+لأن V relative هتمثل سرعة الـ slider بالنسبة للـ
+
+69
+00:09:24,730 --> 00:09:35,450
+link اللي هو PP V relative V
+
+70
+00:09:35,450 --> 00:09:43,330
+relative أنا
+
+71
+00:09:43,330 --> 00:09:47,750
+مش عارف قيمتها لحظة بس عارف اتجاهها هتكون هاي
+
+72
+00:09:47,750 --> 00:09:48,190
+الاتجاه
+
+73
+00:09:54,180 --> 00:10:06,840
+هذه V relative قيمتها
+
+74
+00:10:06,840 --> 00:10:18,120
+V relative و بتعمل زاوية عشرين
+
+75
+00:10:18,120 --> 00:10:23,670
+مع الرأس صح؟ مش هذه عشرين، معناته هي عشان تكون ساوية
+
+76
+00:10:23,670 --> 00:10:38,090
+عشرين طيب
+
+77
+00:10:38,090 --> 00:10:42,110
+حركة
+
+78
+00:10:42,110 --> 00:10:48,430
+النقطة P جاية نتيجة حركتين هذه slide و برضه بتدور
+
+79
+00:10:48,430 --> 00:10:51,590
+معاها الـ frame، مارضه عشان بتدور، فهي VP prime
+
+80
+00:10:55,250 --> 00:11:00,310
+ب بي برايم بتساوي
+
+81
+00:11:00,310 --> 00:11:05,350
+أوميجا بي
+
+82
+00:11:05,350 --> 00:11:10,390
+بي
+
+83
+00:11:10,390 --> 00:11:20,810
+بي بي بي بي بي بي بي بي بي بي بي بي بي بي بي
+
+84
+00:11:20,810 --> 00:11:24,250
+بي بي بي بي بي بي بي بي بي بي بي بي بي بي بي
+
+85
+00:11:24,250 --> 00:11:24,270
+بي بي بي بي بي بي بي بي بي بي بي بي بي بي بي
+
+86
+00:11:24,270 --> 00:11:41,460
+بأوميجا بى و هتكون عمودية يعني
+
+87
+00:11:41,460 --> 00:11:45,980
+هتعمل زاوية قيمتها كام؟ عشرين
+
+88
+00:11:45,980 --> 00:11:53,620
+درجة هذا الـ V بي برايم، هذه due to rotation للـ
+
+89
+00:11:53,620 --> 00:12:05,560
+rotating frame لأنها ستعمل مع الأفق زاوية
+
+90
+00:12:05,560 --> 00:12:12,480
+عشرين درجة، لاحظوا الـ V بي الكلية جاية بين V V
+
+91
+00:12:12,480 --> 00:12:17,700
+Prime V relative من هنا الكلام بنحكي منطقي صح؟
+
+92
+00:12:18,700 --> 00:12:21,680
+المحصلة هتكون بين الـ two vectors يعني هي vector
+
+93
+00:12:21,680 --> 00:12:26,680
+sum لهذه وهذه وجاية بينهم مهما تبنى احكيه واضح أنه
+
+94
+00:12:26,680 --> 00:12:38,260
+صح؟ نعود في المعادلة Vp Vp اللي هي بتساوي ثلاثة
+
+95
+00:12:38,260 --> 00:12:43,720
+point ستة سبعة ستة meter per second
+
+96
+00:12:47,660 --> 00:12:55,120
+بزاوية ستين بتساوي
+
+97
+00:12:55,120 --> 00:13:02,260
+Vrelative و
+
+98
+00:13:02,260 --> 00:13:12,160
+بتعمل زاوية عشرين مع الرأس زائد
+
+99
+00:13:12,160 --> 00:13:19,780
+Vb prime اللي هي point اتنين ثلاث ثلاثة ثمانية أوميجا
+
+100
+00:13:19,780 --> 00:13:25,180
+بي وتعمل مع الأفقي عشرين
+
+101
+00:13:25,180 --> 00:13:34,160
+درجة لو
+
+102
+00:13:34,160 --> 00:13:40,100
+بتعمل vector متلف متجهات هيكون عندي VP
+
+103
+00:13:53,980 --> 00:14:02,520
+هذه اللي هي VP بتساوي
+
+104
+00:14:02,520 --> 00:14:10,340
+VP
+
+105
+00:14:10,340 --> 00:14:11,800
+Prime هذه
+
+106
+00:14:25,920 --> 00:14:36,100
+VP Prime هذه الزاوية عشرين وهذه V relative هي VB
+
+107
+00:14:36,100 --> 00:14:40,400
+بس هو VB Prime زائد V relative وهذه الزاوية هتكون
+
+108
+00:14:40,400 --> 00:14:48,980
+تسعين درجة هذه كلها كم؟ ستين
+
+109
+00:14:48,980 --> 00:14:51,060
+معناه أن هذه كم؟
+
+110
+00:14:53,820 --> 00:14:59,520
+أربعين وهذا خمسين
+
+111
+00:14:59,520 --> 00:15:03,140
+لأن
+
+112
+00:15:03,140 --> 00:15:11,480
+تسعين زائد أربعين مئة وثمانين معناته
+
+113
+00:15:11,480 --> 00:15:19,240
+هتكون VP Prime VP Prime من المثلث بالسوء
+
+114
+00:15:21,950 --> 00:15:29,230
+VP كساين الخمسين VP كساين الخمسين VP برايم هي
+
+115
+00:15:29,230 --> 00:15:35,090
+إيش؟ point ثلاثة point اثنين ثلاث ثلاثة ثمانية أوميجا P
+
+116
+00:15:35,090 --> 00:15:43,490
+بس VP اللي هي ثلاثة point ستة سبعة ستة كساين
+
+117
+00:15:43,490 --> 00:15:50,230
+الخمسين درجة منها بحسب أوميجا
+
+118
+00:15:50,230 --> 00:15:50,530
+P
+
+119
+00:15:53,710 --> 00:16:06,090
+ونفس الشيء عندي V relative لأ
+
+120
+00:16:06,090 --> 00:16:20,470
+أنا غلطان هذه .. هذه sign V
+
+121
+00:16:20,470 --> 00:16:23,030
+relative بتساوي V P
+
+122
+00:16:26,160 --> 00:16:35,060
+كو ساين الخمسين يعني هتكون ثلاثة point ستة سبعة ستة
+
+123
+00:16:35,060 --> 00:16:44,060
+كو ساين الخمسين درجة
+
+124
+00:16:44,060 --> 00:16:51,080
+كيف
+
+125
+00:16:51,080 --> 00:16:56,310
+طلعت سالب أنا، ده كل موجة point طلعت سالب، إن هذه
+
+126
+00:16:56,310 --> 00:16:59,170
+الكو ساين الخمسين موجبة وهذه موجبة وهذه موجبة كيف
+
+127
+00:16:59,170 --> 00:17:03,010
+تطلع الكو ساين موجبة؟ يعني
+
+128
+00:17:03,010 --> 00:17:08,750
+هذه الأرقام
+
+129
+00:17:08,750 --> 00:17:12,590
+المشكوك فيها هذه صحيحة؟ اه عشان السؤال بيجيك يعني
+
+130
+00:17:12,590 --> 00:17:19,690
+صحيحة؟ اه، هيك الأرقام هذه صحيحة؟ لأ، ممكن إيش الصح؟
+
+131
+00:17:19,690 --> 00:17:22,450
+أول واحدة مئة و تسعة و خمسين، مئة و تسعة و خمسين game
+
+132
+00:17:22,450 --> 00:17:33,440
+points كم؟ الـ AP الـ AB مئة و تسعة و خمسين و
+
+133
+00:17:33,440 --> 00:17:42,680
+الـ PP كم؟ المفروض تكون أكثر من ثلاثمائة، المفروض
+
+134
+00:17:42,680 --> 00:17:51,540
+تطلع هذه أكبر من هذه، أربعمئة و أربعة point كم؟
+
+135
+00:17:55,880 --> 00:18:09,440
+على كام يعني اثنين، معناته VPA اختلفت قيمتها هتكون
+
+136
+00:18:09,440 --> 00:18:15,900
+هتكون
+
+137
+00:18:15,900 --> 00:18:28,330
+هذه في عشرة في مئة point واحد خمسة تسعة ستة هتكون
+
+138
+00:18:28,330 --> 00:18:34,070
+واحد point خمسة تسعة ستة واحد point خمسة تسعة ستة
+
+139
+00:18:34,070 --> 00:18:41,950
+معناته هذه هتكون واحد
+
+140
+00:18:41,950 --> 00:18:53,930
+point خمسة تسعة ستة وهذه الـ
+
+141
+00:18:53,930 --> 00:18:54,630
+VP prime
+
+142
+00:18:58,220 --> 00:19:04,300
+هتكون الـ BP اللي هي bond for أو for اثنين
+
+143
+00:19:30,790 --> 00:19:43,070
+أوميجا بيه كم تطلع؟ ثلاثة
+
+144
+00:19:43,070 --> 00:19:51,730
+point كم؟ ثلاثة point ثلاثة
+
+145
+00:19:51,730 --> 00:19:54,290
+point كم؟
+
+146
+00:20:03,710 --> 00:20:16,150
+clockwise و V relative ها
+
+147
+00:20:16,150 --> 00:20:24,430
+كم تطلع؟ ١
+
+148
+00:20:24,430 --> 00:20:25,750
+.٠
+
+149
+00:20:38,990 --> 00:20:47,210
+تأكد طيب طيب
+
+150
+00:20:47,210 --> 00:20:55,170
+لو هنعمل acceleration analysis بس
+
+151
+00:20:55,170 --> 00:20:59,330
+خلينا ناخد القيم بتاعته
+
+152
+00:21:03,870 --> 00:21:09,630
+عند Vp Vp
+
+153
+00:21:09,630 --> 00:21:12,770
+بتساوي
+
+154
+00:21:12,770 --> 00:21:16,650
+واحد
+
+155
+00:21:16,650 --> 00:21:24,150
+point خمسة تسعة ستة و
+
+156
+00:21:24,150 --> 00:21:30,970
+بتعمل زاوية ستين
+
+157
+00:21:30,970 --> 00:21:31,470
+درجة
+
+158
+00:21:36,770 --> 00:21:42,790
+و V relative بتساوي
+
+159
+00:21:42,790 --> 00:21:59,250
+١.٠٥ متر per second بزاوية عشرين درجة و
+
+160
+00:21:59,250 --> 00:21:59,870
+Omega P
+
+161
+00:22:03,620 --> 00:22:09,640
+بتساوي ثلاثة point صفر اثنين أربعة radian per
+
+162
+00:22:09,640 --> 00:22:20,500
+second clockwise و
+
+163
+00:22:20,500 --> 00:22:24,280
+AB بتساوي
+
+164
+00:22:24,280 --> 00:22:29,500
+مئة و تسعة و خمسين point ستة millimeter و بي بي
+
+165
+00:22:29,500 --> 00:22:38,980
+بيساوي أربعمئة و أربعة point اثنين millimeters
+
+166
+00:22:38,980 --> 00:22:53,460
+بدون
+
+167
+00:22:53,460 --> 00:22:54,540
+اكتشاف اناليسيز
+
+168
+00:22:58,970 --> 00:23:03,930
+هاخد أحكي AB أنا في عندي هنا rotation في sliding
+
+169
+00:23:03,930 --> 00:23:10,550
+بالنسبة للـ rotating frame الـ AB بشكل عام هتساوي
+
+170
+00:23:10,550 --> 00:23:18,610
+في جزئية due to rotation AB prime وفي
+
+171
+00:23:18,610 --> 00:23:21,910
+جزئية نتيجة حركة الـ slider بالنسبة للـ rotating
+
+172
+00:23:21,910 --> 00:23:23,310
+frame AB relative
+
+173
+00:23:27,980 --> 00:23:42,060
+وفي جزئية Coriolis acceleration الـ
+
+174
+00:23:42,060 --> 00:23:46,540
+P الـ
+
+175
+00:23:46,540 --> 00:23:55,040
+اكسلريشن نحكي الـ motion of
+
+176
+00:23:55,040 --> 00:23:56,380
+point
+
+177
+00:23:58,740 --> 00:24:08,460
+P is fully defined by
+
+178
+00:24:08,460 --> 00:24:16,380
+the rotation of
+
+179
+00:24:16,380 --> 00:24:17,560
+link AB
+
+180
+00:24:28,920 --> 00:24:33,060
+بتتحرك بـ Angle Velocity 10 Radian Per Second و
+
+181
+00:24:33,060 --> 00:24:37,100
+Angle Acceleration 10 Radian Per Second معناته
+
+182
+00:24:37,100 --> 00:24:41,620
+نحكي أندي الـ AB نحكي
+
+183
+00:24:41,620 --> 00:24:45,260
+لها two components نحكي أندي AB Normal
+
+184
+00:25:00,660 --> 00:25:10,280
+هيكون عندي AB normal A
+
+185
+00:25:10,280 --> 00:25:25,120
+B normal هتعمل
+
+186
+00:25:25,120 --> 00:25:28,200
+ثلاثين
+
+187
+00:25:28,200 --> 00:25:28,700
+درجة
+
+188
+00:25:31,740 --> 00:25:38,360
+يعني هاد أكيد هاد ستين هاد هتكون آيه؟ إيش؟ ثلاثين صح؟
+
+189
+00:25:38,360 --> 00:25:43,740
+زائد A
+
+190
+00:25:43,740 --> 00:25:58,580
+B tangential زائد AB tangential هتكون عمودية هتمل
+
+191
+00:25:58,580 --> 00:25:59,340
+مع الرأس
+
+192
+00:26:05,460 --> 00:26:12,520
+ثلاثين درجة لأن
+
+193
+00:26:12,520 --> 00:26:21,420
+الـ AB normal قيمتها so omega square في الـ AB صح؟
+
+194
+00:26:21,420 --> 00:26:29,260
+الـ omega عندي عشرة تربيع الـ
+
+195
+00:26:29,260 --> 00:26:40,310
+AB في point واحد خمسة تسعة ستة يعني هتكون تساوي
+
+196
+00:26:40,310 --> 00:26:43,390
+خمسة عشر
+
+197
+
+223
+00:29:37,230 --> 00:29:43,050
+ستة، ال بعد ستة، إيش ستة تسعة، ستة ال بعد ستة ال بعد
+
+224
+00:29:43,050 --> 00:29:43,690
+ستة ال بعد ستة ال بعد ستة ال بعد ستة ال بعد ستة ال
+
+225
+00:29:43,690 --> 00:29:45,070
+بعد ستة ال بعد ستة ال بعد ستة ال بعد ستة ال بعد
+
+226
+00:29:45,070 --> 00:29:47,890
+ستة ال بعد ستة ال بعد ستة ال بعد ستة ال بعد ستة ال
+
+227
+00:29:47,890 --> 00:29:48,570
+بعد ستة ال بعد ستة ال بعد ستة ال بعد ستة ال بعد
+
+228
+00:29:48,570 --> 00:29:52,470
+بعد ستة ال بعد ستة ال بعد
+
+229
+00:29:52,470 --> 00:29:57,770
+س
+
+230
+00:29:58,700 --> 00:30:05,680
+في الـ bp يعني هتكون point أربعة أو أربعة اتنين
+
+231
+00:30:05,680 --> 00:30:12,060
+alpha b هذا الـ component due to rotation في الـ
+
+232
+00:30:12,060 --> 00:30:17,620
+component due لحركة الـ slider بالنسبة للـ rotating
+
+233
+00:30:17,620 --> 00:30:19,860
+frame اللي هو الـ rotating frame fixed على الـ link
+
+234
+00:30:19,860 --> 00:30:21,760
+bp هتكون
+
+235
+00:30:28,810 --> 00:30:35,310
+هي a relative مش
+
+236
+00:30:35,310 --> 00:30:42,970
+عارف كميتها، هاي الـ a relative بتكون
+
+237
+00:30:42,970 --> 00:30:51,770
+كميتها a relative و بتعمل معاها الرأس زاوية
+
+238
+00:30:51,770 --> 00:30:53,830
+عشرين درجة
+
+239
+00:30:57,020 --> 00:30:59,080
+بتظهر عندي اللي هي Coriolis component of
+
+240
+00:30:59,080 --> 00:31:03,300
+acceleration AC اللي
+
+241
+00:31:03,300 --> 00:31:13,720
+كميتها بالساوية اتنين أوميجا في الـ V relative اتنين
+
+242
+00:31:13,720 --> 00:31:19,360
+أوميجا أوميجا مين؟ أوميجا ب، اتنين أوميجا ب في الـ
+
+243
+00:31:19,360 --> 00:31:20,640
+V relative
+
+244
+00:31:26,370 --> 00:31:31,630
+الآن احنا حكينا omega b clockwise صح؟ و الـ V
+
+245
+00:31:31,630 --> 00:31:36,570
+relative هي الـ V relative اتجاهها عشان أحس اجيب
+
+246
+00:31:36,570 --> 00:31:39,550
+اتجاه Coriolis، Coriolis component of acceleration
+
+247
+00:31:39,550 --> 00:31:46,570
+بألف الـ V relative تسعين درجة، دوران omega b هي
+
+248
+00:31:46,570 --> 00:31:52,790
+تسعين درجة، ADR هتكون
+
+249
+00:31:52,790 --> 00:32:02,510
+AC و تعمل زاوية عشرين
+
+250
+00:32:02,510 --> 00:32:09,270
+درجة يعني هتكون omega P اتنين في تلاتة point صفر
+
+251
+00:32:09,270 --> 00:32:15,470
+اتنين أربعة في relative اللي هي واحد point اتنين
+
+252
+00:32:15,470 --> 00:32:22,010
+خمسة يعني هتساوي ستة
+
+253
+00:32:22,010 --> 00:32:23,810
+بالظبط
+
+254
+00:32:25,850 --> 00:32:36,210
+اتنين واحد تسعة يعني point اتنين meter
+
+255
+00:32:36,210 --> 00:32:42,930
+per second square بتعمل
+
+256
+00:32:42,930 --> 00:32:49,470
+الزاوية عشرين درجة، خلاص
+
+257
+00:32:49,470 --> 00:32:55,200
+الآن أنا عارف الـ a b هي الـ a b اللي بيقلها واحدة
+
+258
+00:32:55,200 --> 00:32:58,500
+component normal، واحدة component tangential
+
+259
+00:32:58,500 --> 00:33:03,940
+الـ norm الكميتها اللي هي خمستاشر هتكون خمستاشر point
+
+260
+00:33:03,940 --> 00:33:14,900
+تسعة ستة، تعمل زاوية تلاتين زائد الـ component
+
+261
+00:33:14,900 --> 00:33:21,020
+tangential اللي هي واحد point خمسة تسعة ستة، تعمل
+
+262
+00:33:21,020 --> 00:33:23,140
+زاوية تلاتين مع الرأس
+
+263
+00:33:28,850 --> 00:33:39,170
+بتساوي AP prime، AP prime لها two components، واحدة
+
+264
+00:33:39,170 --> 00:33:50,470
+اللي هي تلاتة point ستة تسعة ستة بهذا الاتجاه، هذه
+
+265
+00:33:50,470 --> 00:33:55,290
+عشرين زي AP prime tangential اللي هي زائد point
+
+266
+00:33:56,300 --> 00:34:05,360
+أربعة أو أربعة اتنين، الف بي، و بتعمل زاوية عشرين
+
+267
+00:34:05,360 --> 00:34:09,300
+هذه
+
+268
+00:34:09,300 --> 00:34:13,600
+a بي برايم، زائد a relative اللي هي زائد a relative
+
+269
+00:34:13,600 --> 00:34:17,720
+بتعمل
+
+270
+00:34:17,720 --> 00:34:18,600
+زاوية عشرين
+
+271
+00:34:24,420 --> 00:34:35,440
+زائد a كوريوليس اللي هي ستة point اتنين اتنين و
+
+272
+00:34:35,440 --> 00:34:42,760
+بتعمل زاوية عشرين
+
+273
+00:34:42,760 --> 00:34:47,580
+عندي
+
+274
+00:34:47,580 --> 00:34:51,600
+مجهولين a,b relative
+
+275
+00:34:53,730 --> 00:35:03,850
+بأخذ الـ x component هتكون
+
+276
+00:35:03,850 --> 00:35:12,710
+ناقص خمستاشر point تسعة ستة cosine التلاتين زائد
+
+277
+00:35:12,710 --> 00:35:19,670
+واحد point خمسة تسعة ستة sine التلاتين بتساوي
+
+278
+00:35:21,480 --> 00:35:33,640
+ناقص تلاتة point ستة تسعة ستة sin العشرين زائد
+
+279
+00:35:33,640 --> 00:35:42,480
+point أربعة أو أربعة اتنين alpha b cosine العشرين
+
+280
+00:35:42,480 --> 00:35:46,980
+ناقص
+
+281
+00:35:46,980 --> 00:35:56,850
+a relative sin 20 ناقص
+
+282
+00:35:56,850 --> 00:36:09,350
+6.22 cos 20، هاتجاه الـ X، واتجاه الـ Y، الـ
+
+283
+00:36:09,350 --> 00:36:20,070
+Y component هتكون عندنا ناقص 15.96 sin 30
+
+284
+00:36:22,730 --> 00:36:31,910
+زائد أو ناقص واحد point
+
+285
+00:36:31,910 --> 00:36:41,990
+خمسة تسعة ستة cosine التلاتين بتساوي ناقص تلاتة
+
+286
+00:36:41,990 --> 00:36:46,770
+point ستة تسعة ستة cosine العشرين
+
+287
+00:36:51,550 --> 00:36:58,310
+ناقص point أربعة أو أربعة اتنين alpha b sine
+
+288
+00:36:58,310 --> 00:37:03,170
+العشرين ناقص
+
+289
+00:37:03,170 --> 00:37:08,730
+a relative cosine
+
+290
+00:37:08,730 --> 00:37:09,670
+العشرين
+
+291
+00:37:12,680 --> 00:37:21,720
+زائد ستة point اتنين اتنين sin العشرين، هي واحد و
+
+292
+00:37:21,720 --> 00:37:28,580
+اتنين، solve for
+
+293
+00:37:28,580 --> 00:37:36,540
+a relative و alpha b، خليني أحلها
+
+294
+00:38:15,620 --> 00:38:21,040
+هأعمل solve، بدي
+
+295
+00:38:21,040 --> 00:38:30,300
+أكتر معادلتين، المعدلتين
+
+296
+00:38:30,300 --> 00:38:38,400
+أحطهم بين قوسين، هو حل، بدي أحسب a relative، a
+
+297
+00:38:38,400 --> 00:38:41,540
+relative هو alpha
+
+298
+00:38:45,920 --> 00:38:52,980
+الف بي، أنا سامعة المعادلة
+
+299
+00:38:52,980 --> 00:38:58,100
+التانية، أعطوني المعادلة الأولى، الـ X component، خمس
+
+300
+00:38:58,100 --> 00:39:02,780
+عشر point تسعة
+
+301
+00:39:02,780 --> 00:39:11,160
+ستة سالب، ركز عليّ معايا، كوساين
+
+302
+00:39:14,640 --> 00:39:28,240
+cos الـ تلاتين، في زائد لحظة شوية، by على
+
+303
+00:39:28,240 --> 00:39:35,600
+مية و ثمانين، طيب، زائد، أيوة
+
+304
+00:39:46,550 --> 00:39:53,730
+طيب يساوي، يساوي مرتين، أيوة، سالب تلاتة point ستة
+
+305
+00:39:53,730 --> 00:40:02,590
+تسعة ستة، sin العشرين، sin العشرين
+
+306
+00:40:02,590 --> 00:40:09,710
+زائد .. لحظة، زائد
+
+307
+00:40:09,710 --> 00:40:12,670
+صفر point أربعة، أو صفر أربعة اتنين
+
+308
+00:40:16,580 --> 00:40:28,220
+زائد صفر point أربعة، صحيح point أربعة، صفر أربعة
+
+309
+00:40:28,220 --> 00:40:35,180
+اتنين مضروبة في الـ alpha P، لحظة، صحيح، مضروبة
+
+310
+00:40:35,180 --> 00:40:44,260
+في الـ alpha P، alpha P، لحظة، أيوة، كوساين العشرين
+
+311
+00:40:53,080 --> 00:41:00,160
+طيب، ناقص، ناقص إيه؟ relative، إيه relative، في sin
+
+312
+00:41:00,160 --> 00:41:10,400
+العشرين، في sin العشرين، ناقص
+
+313
+00:41:10,400 --> 00:41:15,520
+ناقص
+
+314
+00:41:15,520 --> 00:41:19,360
+ستة point اتنين اتنين في sin العشرين
+
+315
+00:41:24,900 --> 00:41:30,120
+لعبت شوية، اتأكدوا
+
+316
+00:41:30,120 --> 00:41:31,220
+المعادلة الأولى؟
+
+317
+00:41:33,750 --> 00:41:43,850
+-15.96 cos 30 + 1.596 sin 30 = -3.69
+
+318
+00:41:43,850 --> 00:41:53,270
+sin 20 + 4.42 alpha b cos 20 - a relative sin
+
+319
+00:41:53,270 --> 00:42:00,670
+20 - 6.22 cos 20، هيك صح؟ هنسخها كلها، هذه
+
+320
+00:42:14,250 --> 00:42:20,870
+control C، control V، كل الكوساين هحوّلهم ساين بعدين
+
+321
+00:42:20,870 --> 00:42:32,930
+بنظبط الإشارات، هذه الـ ساين بعدين هذه الـ كوساين، هذه
+
+322
+00:42:32,930 --> 00:42:41,830
+الـ كوساين بعدين
+
+323
+00:42:41,830 --> 00:42:42,510
+هذه الـ ساين
+
+324
+00:42:48,800 --> 00:42:57,300
+بعدين had a cosine، بعدين
+
+325
+00:42:57,300 --> 00:43:03,060
+had a sine، الآن
+
+326
+00:43:03,060 --> 00:43:05,460
+خليني أنظّب الإشارة، المعادلة التامة اللي هنا بدأت
+
+327
+00:43:05,460 --> 00:43:10,200
+minus minus، كله minus، بعد الأكرار موجودة صح، minus
+
+328
+00:43:10,200 --> 00:43:12,800
+minus
+
+329
+00:43:17,520 --> 00:43:28,060
+الأخيرة موجبة، صح؟ الأولى
+
+330
+00:43:28,060 --> 00:43:36,610
+احنا حكينا صح، الأولى، هاي المعادلة الأولى، الثانية
+
+331
+00:43:36,610 --> 00:43:39,610
+ناقص، التراجع اللي ثانية، ناقص خمسة عشر point تسعة ستة
+
+332
+00:43:39,610 --> 00:43:45,110
+sin تلاتين ناقص واحد point خمسة تسعة ستة cosine التلاتين
+
+333
+00:43:45,110 --> 00:43:48,790
+بتساوي ناقص ثلاثة point ستة تسعة ستة cosine العشرين
+
+334
+00:43:48,790 --> 00:43:54,750
+ناقص point أربعة أربعة اتنين alpha ب sin العشرين
+
+335
+00:43:54,750 --> 00:43:58,970
+ناقص a relative cosine العشرين، زي ستة point اتنين
+
+336
+00:43:58,970 --> 00:44:05,330
+sin العشرين، مظبوط؟ صحيح، و هنا في عنده فاصلة
+
+337
+00:44:28,080 --> 00:44:30,040
+Numerical solve
+
+338
+00:44:34,890 --> 00:44:42,510
+طلع عند a relative، إيش الساوية تطلع
+
+339
+00:44:42,510 --> 00:44:49,130
+عند a relative اتجاهها
+
+340
+00:44:49,130 --> 00:44:55,710
+صح اللي هي تسعة point تلاتة خمسة أو خمسة و عشرين، ستة تسعة
+
+341
+00:44:55,710 --> 00:45:01,990
+point خمسة خمسة ستة meter per second square
+
+342
+00:45:04,990 --> 00:45:16,630
+واتجاهها، صح هتكون ستين
+
+343
+00:45:16,630 --> 00:45:22,730
+درجة، و الـ alpha
+
+344
+00:45:22,730 --> 00:45:29,470
+B، alpha B طلعت بالسالب، يعني أنا فرضها clockwise هي
+
+345
+00:45:29,470 --> 00:45:35,520
+لكن طلعت counter clockwise، طلعت اللي هي ستة point
+
+346
+00:45:35,520 --> 00:45:39,100
+تسعة
+
+347
+00:45:39,100 --> 00:45:42,700
+ستة
+
+348
+00:45:42,700 --> 00:45:49,280
+ثمانية radian per second square بعكس عقارب الساعة
+
+349
+00:45:59,470 --> 00:46:04,570
+المحاضرة الجاية بنحل نفس السؤال بس تختلف إيه عشان
+
+350
+00:46:04,570 --> 00:46:08,010
+تختلف
+
+351
+00:46:08,010 --> 00:46:15,070
+slide واحد ثاني، بدي أحط rotating frame وين؟ على، أدي
+
+352
+00:46:15,070 --> 00:46:17,310
+الـ X small و Y small
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/QyvaNvtmBGo_raw.json b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/QyvaNvtmBGo_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..d09c660acb4e534b52bcbc36c96d1f6f43a9107d
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/QyvaNvtmBGo_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 3178, "start": 5.42, "end": 31.78, "text": "بسم الله الرحمن الرحيم السلام عليكم ورحمة الله وبركاته هنكمل في معدة ال dynamica احنا كنا نحكي عن kinematics of rigid bodies chapter خمساش المحاضرة الفاتحة حكينا عن ال Coriolis acceleration حلينا example هنحل example هو عبارة عن مسألة في الكتاب مسألة خمساش مية و اتنين و خمسين و مسألة خمساش مية و تلاتة و خمسين", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 8032, 1863, 24793, 1211, 8978, 20449, 41891, 2423, 5999, 2262, 1975, 5016, 8315, 9122, 8315, 8717, 5016, 4117, 1829, 18871, 15784, 37541, 295, 22195, 7510, 7187, 16490, 2304, 3794, 33599, 9673, 5016, 46958, 25720, 27188, 9307, 5016, 3660, 11331, 4117, 1829, 8315, 18871, 2423, 3925, 72, 16466, 17162, 11331, 20292, 8315, 1365, 8032, 1863, 5016, 1211, 1365, 31439, 6225, 3555, 9640, 3660, 18871, 47524, 10721, 37977, 8978, 33251, 2655, 16758, 47524, 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"وميجا بى و هتكون عمودية يعنى هتعمل معلوفة قا كام عشرين درجة هذا ال V بي برايم", "tokens": [20498, 1829, 7435, 995, 4724, 7578, 4032, 8032, 2655, 30544, 6225, 2304, 23328, 10632, 37495, 1863, 7578, 8032, 2655, 25957, 1211, 20449, 1211, 38688, 3660, 12174, 995, 9122, 10943, 6225, 46309, 9957, 11778, 47341, 3660, 23758, 2423, 691, 4724, 1829, 4724, 23557, 32640], "avg_logprob": -0.41832387379624625, "compression_ratio": 1.3564356435643565, "no_speech_prob": 0.0, "words": [{"start": 685.88, "end": 686.44, "word": "وميجا", "probability": 0.6895751953125}, {"start": 686.44, "end": 687.46, "word": " بى", "probability": 0.5743408203125}, {"start": 687.46, "end": 690.44, "word": " و", "probability": 0.5791015625}, {"start": 690.44, "end": 690.82, "word": " هتكون", "probability": 0.7825520833333334}, {"start": 690.82, "end": 691.6, "word": " عمودية", "probability": 0.877685546875}, {"start": 691.6, "end": 701.46, "word": " يعنى", "probability": 0.6813151041666666}, {"start": 701.46, "end": 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"no_speech_prob": 0.0, "words": [{"start": 2734.32, "end": 2735.16, "word": "ستة", "probability": 0.6158040364583334}, {"start": 2735.16, "end": 2735.52, "word": " point", "probability": 0.80419921875}, {"start": 2735.52, "end": 2739.1, "word": " تسعة", "probability": 0.9156901041666666}, {"start": 2739.1, "end": 2742.7, "word": " ستة", "probability": 0.8013509114583334}, {"start": 2742.7, "end": 2743.72, "word": " تمانية", "probability": 0.9611002604166666}, {"start": 2743.72, "end": 2745.1, "word": " radian", "probability": 0.59490966796875}, {"start": 2745.1, "end": 2745.66, "word": " per", "probability": 0.96337890625}, {"start": 2745.66, "end": 2746.16, "word": " second", "probability": 0.91943359375}, {"start": 2746.16, "end": 2746.82, "word": " square", "probability": 0.46923828125}, {"start": 2746.82, "end": 2748.44, "word": " بعكس", "probability": 0.8162841796875}, {"start": 2748.44, "end": 2748.88, "word": " أقارب", "probability": 0.7889404296875}, {"start": 2748.88, "end": 2749.28, "word": " الساعة", "probability": 0.9694010416666666}], "temperature": 1.0}, {"id": 92, "seek": 277731, "start": 2759.47, "end": 2777.31, "text": "المحاضرة الجاية بنحل نفس السؤال بس تختلف إيه عشان تختلف slide واحد تاني بدي أحط rotating frame وين على ادي ال X small و Y small", "tokens": [45340, 5016, 46958, 25720, 25724, 995, 10632, 44945, 5016, 1211, 8717, 36178, 21136, 33604, 6027, 4724, 3794, 6055, 46456, 46538, 11933, 1829, 3224, 6225, 8592, 7649, 6055, 46456, 46538, 4137, 36764, 24401, 6055, 7649, 1829, 4724, 16254, 5551, 5016, 9566, 19627, 3920, 4032, 9957, 15844, 1975, 16254, 2423, 1783, 1359, 4032, 398, 1359], "avg_logprob": -0.31799769015223894, "compression_ratio": 1.3537414965986394, "no_speech_prob": 0.0, "words": [{"start": 2759.47, "end": 2760.11, "word": "المحاضرة", "probability": 0.893310546875}, {"start": 2760.11, "end": 2760.45, "word": " الجاية", "probability": 0.6922200520833334}, {"start": 2760.45, "end": 2760.97, "word": " بنحل", "probability": 0.8644205729166666}, {"start": 2760.97, "end": 2762.39, "word": " نفس", "probability": 0.99072265625}, {"start": 2762.39, "end": 2762.81, "word": " السؤال", "probability": 0.994140625}, {"start": 2762.81, "end": 2763.09, "word": " بس", "probability": 0.9365234375}, {"start": 2763.09, "end": 2763.63, "word": " تختلف", "probability": 0.904296875}, {"start": 2763.63, "end": 2763.89, "word": " إيه", "probability": 0.6854654947916666}, {"start": 2763.89, "end": 2764.57, "word": " عشان", "probability": 0.7051595052083334}, {"start": 2764.57, "end": 2768.01, "word": " تختلف", "probability": 0.8136393229166666}, {"start": 2768.01, "end": 2769.57, "word": " slide", "probability": 0.56640625}, {"start": 2769.57, "end": 2771.53, "word": " واحد", "probability": 0.61688232421875}, {"start": 2771.53, "end": 2771.81, "word": " تاني", "probability": 0.7799479166666666}, {"start": 2771.81, "end": 2772.03, "word": " بدي", "probability": 0.5408935546875}, {"start": 2772.03, "end": 2772.27, "word": " أحط", "probability": 0.87646484375}, {"start": 2772.27, "end": 2772.53, "word": " rotating", "probability": 0.69189453125}, {"start": 2772.53, "end": 2772.97, "word": " frame", "probability": 0.81396484375}, {"start": 2772.97, "end": 2773.29, "word": " وين", "probability": 0.63427734375}, {"start": 2773.29, "end": 2774.67, "word": " على", "probability": 0.77978515625}, {"start": 2774.67, "end": 2775.07, "word": " ادي", "probability": 0.46533203125}, {"start": 2775.07, "end": 2776.07, "word": " ال", "probability": 0.8916015625}, {"start": 2776.07, "end": 2776.21, "word": " X", "probability": 0.49609375}, {"start": 2776.21, "end": 2776.63, "word": " small", "probability": 0.806640625}, {"start": 2776.63, "end": 2776.77, "word": " و", "probability": 0.90966796875}, {"start": 2776.77, "end": 2776.89, "word": " Y", "probability": 0.50048828125}, {"start": 2776.89, "end": 2777.31, "word": " small", "probability": 0.92529296875}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2778.01225, "duration_after_vad": 2382.081249999993}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Sf1RR1QF0Ts.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Sf1RR1QF0Ts.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9153c453ead9003cb5eea8ae9a22065716052678
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Sf1RR1QF0Ts.srt
@@ -0,0 +1,1406 @@
+1
+00:00:04,990 --> 00:00:07,610
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,610 --> 00:00:11,270
+سنكمل في الـ chapter السابع عشر اللي هو الـ principles
+
+3
+00:00:11,270 --> 00:00:16,150
+of impulse and momentum و الـ methods of work and
+
+4
+00:00:16,150 --> 00:00:19,570
+energy. so far، احنا غطينا الـ principle of work and
+
+5
+00:00:19,570 --> 00:00:22,150
+energy. اليوم هنحكي عن الـ principle of impulse and
+
+6
+00:00:22,150 --> 00:00:28,090
+momentum لـ rigid body زي ما أنتم شايفين في الصورة
+
+7
+00:00:28,090 --> 00:00:30,210
+عندي rigid body
+
+8
+00:00:34,000 --> 00:00:38,740
+كان له يعني بيتحرك general plane motion يعني المركز
+
+9
+00:00:38,740 --> 00:00:44,680
+له سرعة، وفي rotation حوالي المركز
+
+10
+00:00:44,680 --> 00:00:51,680
+معناته كل particle على الجسم له سرعة مختلفة عن الـ
+
+11
+00:00:51,680 --> 00:00:54,420
+particle الثاني. يعني السرعة عند هذه النقطة مختلفة
+
+12
+00:00:54,420 --> 00:00:57,840
+عن هذه النقطة، وبالتالي كل particle بيكون له
+
+13
+00:00:57,840 --> 00:01:04,110
+momentum، linear momentum عادي، وهو تحت تأثير forces
+
+14
+00:01:04,110 --> 00:01:10,430
+اللي هي مجموعة F1، F2، F3 وهكذا. طبعاً في حياة الـ
+
+15
+00:01:10,430 --> 00:01:16,190
+principle of impulse and momentum، احنا بنربط بين الـ
+
+16
+00:01:16,190 --> 00:01:20,270
+force، الـ forces و الـ mass و الـ velocity
+
+17
+00:01:20,270 --> 00:01:25,350
+بنربط بين الـ force و الـ mass و الـ velocity سواء
+
+18
+00:01:25,350 --> 00:01:27,790
+كانت linear velocity أو angular velocity
+
+19
+00:01:30,940 --> 00:01:34,580
+ببساطة اللي هو الـ system momentum واحد
+
+20
+00:01:34,580 --> 00:01:38,540
+زائد الـ impulse واحد لاتنين بيساوي الـ system
+
+21
+00:01:38,540 --> 00:01:44,680
+momentum اتنين. يعني الذخم الابتدائي زائد الدفع من
+
+22
+00:01:44,680 --> 00:01:47,220
+واحد لاتنين بيساوي الذخم النهائي
+
+23
+00:01:53,200 --> 00:01:58,020
+هيكون الـ momentum للجسم مكون من two vectors
+
+24
+00:01:58,020 --> 00:02:02,280
+الـ vector الأولاني اللي هو linear momentum MV، الـ M
+
+25
+00:02:02,280 --> 00:02:05,380
+اللي هي الـ mass بتاع الـ rigid body، و الـ V هي الـ
+
+26
+00:02:05,380 --> 00:02:11,560
+linear velocity لمركز الثقل، وجزء rotational اللي
+
+27
+00:02:11,560 --> 00:02:16,640
+هو هيكون Iω، في حالة أن الـ
+
+28
+00:02:16,640 --> 00:02:19,580
+rigid body متماثل حول المحور
+
+29
+00:02:23,640 --> 00:02:27,100
+يعني التفاصيل الـ part دي مش كتير مهمة بالنسبة لي
+
+30
+00:02:27,100 --> 00:02:30,500
+سرعة مركز الثقل mv، الـ linear momentum mv واحد
+
+31
+00:02:30,500 --> 00:02:34,460
+و الـ angular momentum Iω واحد زائد الـ impulse من
+
+32
+00:02:34,460 --> 00:02:38,000
+واحد لاتنين بيعطيني الـ linear momentum لمركز الثقل
+
+33
+00:02:38,000 --> 00:02:42,720
+mv اتنين زائد الـ Iω اتنين. واضح أن عندي
+
+34
+00:02:42,720 --> 00:02:50,120
+ثلاثة equations: واحدة في الـ X، واحدة في الـ Y، واحدة
+
+35
+00:02:50,120 --> 00:03:00,330
+في moment، أو moment of momentum اللي هو عزم الدوران في
+
+36
+00:03:00,330 --> 00:03:06,610
+حالة الجسم بيدور حول نقطة ليست واقع على مركز
+
+37
+00:03:06,610 --> 00:03:12,650
+الاستقلالية. يعني أنا عندي الجسم مركز استقلالي G، و بيدور
+
+38
+00:03:12,650 --> 00:03:15,430
+حول O
+
+39
+00:03:18,600 --> 00:03:20,920
+اللي هتكون الـ principle of impulse و الـ momentum
+
+40
+00:03:20,920 --> 00:03:24,800
+اللي هي هتكون Io، الـ moment of inertia للجسم
+
+41
+00:03:24,800 --> 00:03:30,420
+حول O في ω واحد زائد الـ moment، الـ impulse من واحد لاتنين
+
+42
+00:03:30,420 --> 00:03:34,420
+بيساوي Io في ω اتنين
+
+43
+00:03:34,420 --> 00:03:37,880
+بيساوي Io في ω اتنين
+
+44
+00:03:43,520 --> 00:03:47,500
+وإذا external force acts on a rigid body or a
+
+45
+00:03:47,500 --> 00:03:49,880
+system of rigid bodies، وإذا ما فيش عندي external
+
+46
+00:03:49,880 --> 00:03:53,880
+forces، اللي حكينا عنه system momenta واحد زائد الـ
+
+47
+00:03:53,880 --> 00:03:56,300
+impulse واحد لاتنين، بيساوي system momenta من
+
+48
+00:03:56,300 --> 00:03:58,820
+اتنين. إذا ما فيش external force، معناته الجزء
+
+49
+00:03:58,820 --> 00:04:01,980
+التاني بيروح، معناته الـ system momenta عند time T
+
+50
+00:04:01,980 --> 00:04:06,160
+واحد، بيساوي system momenta at T اتنين
+
+51
+00:04:09,120 --> 00:04:12,080
+الـ total momentum و الـ angular momentum about
+
+52
+00:04:12,080 --> 00:04:20,080
+are conserved. و تكون عندك conservation of momentum
+
+53
+00:04:20,080 --> 00:04:26,500
+الـ
+
+54
+00:04:26,500 --> 00:04:31,220
+sum. إذا كان الـ sum للـ angular impulses حول الـ
+
+55
+00:04:31,220 --> 00:04:34,760
+O، اللي هو مركز الدوران
+
+56
+00:04:43,040 --> 00:04:48,880
+بتكون الـ momentum هتكون صفر، صح؟ لكن هذا لا يعني أن
+
+57
+00:04:48,880 --> 00:04:51,220
+الـ linear momentum بيكون عندك conservation في
+
+58
+00:04:51,220 --> 00:04:54,140
+الـ angular momentum. مش ضروري يعني إنه في عندك
+
+59
+00:04:54,140 --> 00:04:58,400
+conservation لل momentum. يعني فقط عندك Ho واحد بيساوي
+
+60
+00:04:58,400 --> 00:05:04,440
+Ho اتنين. شوف أمثلة، هذا المثال هنحله باستخدام
+
+61
+00:05:04,440 --> 00:05:07,520
+principle of work and energy. هنحله باستخدام الـ
+
+62
+00:05:07,520 --> 00:05:16,090
+principle of impulse and momentum. طيب، الآن عندي two
+
+63
+00:05:16,090 --> 00:05:26,670
+gears. عندي الـ gear B بي drive الـ gear A وبي
+
+64
+00:05:26,670 --> 00:05:30,190
+apply الـ torque قيمته ستة نيوتن متر، M على الـ gear
+
+65
+00:05:30,190 --> 00:05:39,690
+B. initial الـ M سواء ستة نيوتن متر، والنظام بدأ
+
+66
+00:05:39,690 --> 00:05:44,410
+بالحركة من السكون، neglecting friction. إذا تم إهمال
+
+67
+00:05:44,410 --> 00:05:50,050
+الاحتكاك، أوجد الزمن اللازم for gear B to reach an
+
+68
+00:05:50,050 --> 00:05:54,650
+angular velocity of 600 rpm. أوجد الزمن اللازم عشان
+
+69
+00:05:54,650 --> 00:06:02,270
+السرعة الزاوية لـ gear B تصل لـ 600 rpm، يعني ω2
+
+70
+00:06:02,270 --> 00:06:06,730
+سواء 600 rpm
+
+71
+00:06:08,280 --> 00:06:16,940
+يعني هتكون 600 في 2π على 60، هتكون 20
+
+72
+00:06:16,940 --> 00:06:20,700
+و60π.
+
+73
+00:06:20,700 --> 00:06:24,340
+تساوي تقريباً
+
+74
+00:06:24,340 --> 00:06:32,020
+20π rad/sec. طيب هذا ليش، ω2
+
+75
+00:06:38,230 --> 00:06:45,650
+بدنا الـ T، أنا
+
+76
+00:06:45,650 --> 00:06:56,370
+هاخد كل واحد لحاله. عندي ها الترس B و ها
+
+77
+00:06:56,370 --> 00:07:05,490
+الترس A، احنا
+
+78
+00:07:05,490 --> 00:07:06,390
+بدأنا من السكون
+
+79
+00:07:09,050 --> 00:07:12,970
+يعني هيكون عندي ايه؟ I، الـ moment of inertia
+
+80
+00:07:12,970 --> 00:07:17,770
+وهو بعكس
+
+81
+00:07:17,770 --> 00:07:27,270
+الدوران، يعني هيكون عندي -I B
+
+82
+00:07:27,270 --> 00:07:30,430
+ω B
+
+83
+00:07:30,430 --> 00:07:47,440
+واحد، عندي - IA ω A واحد زائد
+
+84
+00:07:47,440 --> 00:07:50,060
+العكس.
+
+85
+00:08:02,390 --> 00:08:25,170
+هان دي M نحكي في ΔT file
+
+86
+00:08:25,170 --> 00:08:25,510
+A
+
+87
+00:08:29,660 --> 00:08:35,320
+Clockwise هنا في
+
+88
+00:08:35,320 --> 00:08:46,340
+MΔT هنا عكسها MΔT في
+
+89
+00:08:46,340 --> 00:08:50,600
+هنا كمان
+
+90
+00:08:50,600 --> 00:08:56,760
+NΔT، وهنا NΔT
+
+91
+00:09:13,030 --> 00:09:28,370
+بتساوي IB ωB 2، I
+
+92
+00:09:28,370 --> 00:09:37,720
+AωA اتنين. بس
+
+93
+00:09:37,720 --> 00:09:47,560
+خليني أحسبها، عندي المعطيات الـ MA بس
+
+94
+00:09:47,560 --> 00:09:55,260
+و 10 كيلوجرام، و الـ KA بتساوي 20 مليمتر صح؟
+
+95
+00:09:58,880 --> 00:10:11,280
+و الـ MB 3 كيلوجرام، و الـ KB 80 مليمتر
+
+96
+00:10:16,550 --> 00:10:22,730
+مليمتر مربع. يعني هتساوي 10 × 0.2 تربيع
+
+97
+00:10:22,730 --> 00:10:33,750
+يعني 0.4 كيلوجرام متر مربع. و الـ IB هيكون
+
+98
+00:10:33,750 --> 00:10:39,530
+3 × 0.8 تربيع
+
+99
+00:10:41,820 --> 00:10:51,740
+= 1.92. لأن
+
+100
+00:10:51,740 --> 00:10:59,480
+في علاقة بين ωA و ωB. عندي ωA × RA ثم
+
+101
+00:10:59,480 --> 00:11:10,720
+ωB × RB. يعني ωA هتساوي ωB
+
+102
+00:11:17,750 --> 00:11:27,830
+× RB / RA اللي هي 100 / 25، يعني
+
+103
+00:11:27,830 --> 00:11:34,930
+0.4 ωB مظبوط
+
+104
+00:11:45,680 --> 00:11:51,440
+بدي آخد gear A gear B
+
+105
+00:11:51,440 --> 00:12:02,560
+gear B، هيكون عندي IB
+
+106
+00:12:02,560 --> 00:12:11,940
+gear A هيكون
+
+107
+00:12:11,940 --> 00:12:12,840
+IA
+
+108
+00:12:21,290 --> 00:12:36,910
+ωAB ωB واحد زائد اللي
+
+109
+00:12:36,910 --> 00:12:41,630
+هو الـ impulse من واحد لاتنين
+
+110
+00:12:46,680 --> 00:13:01,360
+So، IB ωB اتنين، الـ gear A، IA ωA واحد
+
+111
+00:13:01,360 --> 00:13:07,940
+زائد الـ impulse عليه من واحد لاتنين. So، IA
+
+112
+00:13:16,260 --> 00:13:25,920
+طبعاً هذه صفر، بدأنا من السكون صح؟ هذه صفر، ω
+
+113
+00:13:25,920 --> 00:13:35,720
+B2 عارفينها الآن. الشيء اللي بيعمل impulse خليني
+
+114
+00:13:35,720 --> 00:13:44,700
+آخد moment حول، ناخد moment اه
+
+115
+00:13:44,700 --> 00:13:45,360
+moment
+
+116
+00:13:54,200 --> 00:14:05,580
+about center of B هيكون
+
+117
+00:14:05,580 --> 00:14:10,900
+اللي هو هيكون
+
+118
+00:14:10,900 --> 00:14:15,760
+MΔ
+
+119
+00:14:15,760 --> 00:14:16,100
+T
+
+120
+00:14:19,640 --> 00:14:32,920
+اللي هذه بتعملها ناقص MΔT بيساوي IB ωB
+
+121
+00:14:32,920 --> 00:14:38,580
+اتنين. هذه واحد، بالنسبة لـ A برضه هناخد الـ moment
+
+122
+00:14:38,580 --> 00:14:42,540
+حول A، الـ center، هيكون عندي
+
+123
+00:14:53,310 --> 00:15:00,410
+هاخد الـ moment of
+
+124
+00:15:00,410 --> 00:15:03,810
+momenta
+
+125
+00:15:03,810 --> 00:15:09,530
+about center of A
+
+126
+00:15:23,450 --> 00:15:32,570
+هيكون -MΔT بتساوي
+
+127
+00:15:32,570 --> 00:15:42,310
+-IA
+
+128
+00:15:42,310 --> 00:15:48,610
+ωA 2
+
+129
+00:15:48,610 --> 00:15:51,670
+Add
+
+130
+00:15:51,670 --> 00:15:52,310
+one and two
+
+131
+00:15:55,800 --> 00:16:07,080
+one and two، بتروح هذه مع هذه، صح؟ هيكون عندي MΔ
+
+132
+00:16:07,080 --> 00:16:21,700
+T بيساوي IB ωB اتنين زائد IA
+
+133
+00:16:21,700 --> 00:16:33,550
+ωA اتنين. أنا هيكون عندي 0.4 × 20π
+
+134
+00:16:33,550 --> 00:16:43,150
+زائد 0.192 × 0.4 اللي هي
+
+135
+00:16:43,150 --> 00:16:49,170
+في لحظة
+
+136
+00:16:54,190 --> 00:17:01,430
+يعني أنا هيكون هذا IB ωB اتنين زائد 0.4
+
+137
+00:17:01,430 --> 00:17:09,830
+IA ωB اتنين. يعني أنا هيكون عندي ωB
+
+138
+00:17:09,830 --> 00:17:15,530
+اتنين اللي هي 20π في
+
+139
+00:17:15,530 --> 00:17:23,130
+IB اللي هي 1.92 زائد 0.4
+
+140
+00:17:23,130 --> 00:17:33,330
+في 0.4 صح؟ والآن
+
+141
+00:17:33,330 --> 00:17:43,670
+عندك كم؟ 6ΔT، فـ ΔT هتساوي
+
+142
+00:17:43,670 --> 00:17:48,930
+0.71
+
+143
+00:17:48,930 --> 00:17:53,610
+ثانية. 0.71
+
+144
+00:17:56,760 --> 00:18:00,360
+Second. المطلوب الثاني هو the tangential force
+
+145
+00:18:00,360 --> 00:18:08,560
+exerted by gear B on gear A، فـ F هتساوي IA
+
+146
+00:18:08,560 --> 00:18:17,560
+ωA اللي هي 0.4 ωB اتنين على ΔT
+
+147
+00:18:17,560 --> 00:18:24,740
+اللي هتكون 0.4 × 0.4 ×
+
+148
+00:18:26,370 --> 00:18:33,090
+20π × 0.71، 0.83 على 0.71
+
+149
+00:18:33,090 --> 00:18:46,410
+=11.7 N تقريباً
+
+150
+00:18:46,410 --> 00:18:46,510
+سؤال
+
+151
+00:19:02,930 --> 00:19:05,930
+شوف مثال... هذا حلنا المثال، بس هنحله باستخدام
+
+152
+00:19:05,930 --> 00:19:07,590
+principle of impulse and momentum
+
+153
+00:19:44,170 --> 00:19:46,690
+A uniform sphere of mass m and radius r is
+
+154
+00:19:46,690 --> 00:19:49,650
+projected along a rough horizontal surface with a
+
+155
+00:19:49,650 --> 00:19:54,070
+linear velocity v and no angular velocity. في عندي
+
+156
+00:19:54,070 --> 00:20:01,290
+كرة كتلة m، نصف قطر r، تم القاؤها على سطح أفقي خشن
+
+157
+00:20:01,290 --> 00:20:07,290
+بسرعة ابتدائية v، بدون يعني السرعة الزاوية كانت صفر
+
+158
+00:20:07,290 --> 00:20:13,130
+معامل الاحتكاك الديناميكي μk. determine the time
+
+159
+00:20:13,130 --> 00:20:15,530
+at which the sphere will start rolling without
+
+160
+00:20:15,530 --> 00:20:18,790
+sliding. طبعاً هو هتبدأ تسير و شوية شوية slide roll
+
+161
+00:20:18,790 --> 00:20:22,770
+slide roll لحد ما تصل لحالة بنظل ماشية في
+
+162
+00:20:22,770 --> 00:20:29,410
+rolling. فبدنا الـ time. الآن هيكون عندي الـ impulse
+
+163
+00:20:29,410 --> 00:20:35,530
+momentum. الشكل الـ impulse momentum هتبدأ الكرة
+
+164
+00:20:35,530 --> 00:20:41,430
+بـ Mv
+
+165
+00:20:44,500 --> 00:20:49,980
+خلال فترة اللي
+
+166
+00:20:49,980 --> 00:20:56,340
+كانت فيها حركة انزلاق وتدحرج كان
+
+167
+00:20:56,340 --> 00:21:00,520
+في عندي الوزن Mg
+
+168
+00:21:00,520 --> 00:21:08,120
+هسميها T بدل ΔT، أو هسميها طيب، في عندي رد
+
+169
+00:21:08,120 --> 00:21:11,300
+الافعال عمودي N في T
+
+170
+00:21:15,230 --> 00:21:20,070
+وفي عندي الاحتكاك
+
+171
+00:21:20,070 --> 00:21:30,490
+اللي هو F في T. الـ
+
+172
+00:21:30,490 --> 00:21:37,690
+final momentum اللي
+
+173
+00:21:37,690 --> 00:21:42,830
+هو هيكون عندي M
+
+174
+00:21:42,830 --> 00:21:43,750
+v2
+
+175
+00:21:49,700 --> 00:22:03,500
+Iω2، هذا
+
+176
+00:22:03,500 --> 00:22:13,220
+الـ momentum، initial system
+
+177
+00:22:13,220 --> 00:22:22,730
+momentum واحد زائد الـ impulses من واحد لاتنين
+
+178
+00:22:22,730 --> 00:22:37,610
+يساوي system momenta اتنين. كل
+
+179
+00:22:37,610 --> 00:22:38,950
+واحدة على الـ Y axis
+
+180
+00:22:50,250 --> 00:22:59,870
+ففي عندي متحركش تجاه راسي في عندي -mgt + NT
+
+181
+00:22:59,870 --> 00:23:09,850
+يساوي صفر، يعني الـ N بيساوي
+
+182
+00:23:09,850 --> 00:23:13,690
+mg. تجاه الـ x
+
+183
+00:23:28,450 --> 00:23:38,650
+mv - FT بيساوي
+
+184
+00:23:38,650 --> 00:23:43,950
+M
+
+185
+00:23:43,950 --> 00:23:51,150
+v2. الـ F هتساوي لأن فيه sliding، هتكون الـ F μk
+
+186
+00:23:51,150 --> 00:23:58,680
+صح؟ يعني هيكون M
+
+187
+00:23:58,680 --> 00:24:17,140
+v - mgμk في T بيساوي Mv2. خلينا نتخلص من الـ M
+
+188
+00:24:17,140 --> 00:24:19,020
+معناته v2
+
+189
+00:24:45,670 --> 00:24:49,370
+طيب، هناخد الـ moment حول moment و moment
+
+190
+00:24:59,730 --> 00:25:06,770
+of momenta about مثلاً
+
+191
+00:25:06,770 --> 00:25:10,810
+G هذا
+
+192
+00:25:10,810 --> 00:25:19,290
+هتكون ايش؟ صفر
+
+193
+00
+
+223
+00:29:22,500 --> 00:29:28,340
+إيه في الـ omega 2، الـ omega 2 هتكون تساوي خمسة على
+
+224
+00:29:28,340 --> 00:29:38,660
+اتنين ميو كي جي على ار في الـ T اللي هو اتنين على
+
+225
+00:29:38,660 --> 00:29:48,870
+سبعة V على ميو كي جي يعني
+
+226
+00:29:48,870 --> 00:29:56,370
+ميو كي مع ميو كي جي مع جي يعني خمسة على سبعة V
+
+227
+00:29:56,370 --> 00:30:04,850
+على R، و الـ V تنين هتكون Omega تنين في R يعني هتكون
+
+228
+00:30:04,850 --> 00:30:06,450
+خمسة على سبعة V
+
+229
+00:30:15,410 --> 00:30:17,770
+اللحظة اللي حللناها بالـ principle .. الـ principle
+
+230
+00:30:17,770 --> 00:30:22,850
+of impulse بمنطقة أسهل بكثير فأنت .. أنت عندك ..
+
+231
+00:30:22,850 --> 00:30:27,490
+يعني ممكن تحلل المسألة بأكثر من طريقة، الزمن بعتمدش
+
+232
+00:30:27,490 --> 00:30:31,570
+على الـ moment of finish، بقى ناس فيه؟ نعم، الزمن الـ
+
+233
+00:30:31,570 --> 00:30:36,750
+.. المكن الصدر .. طبعا .. الزمن .. احنا وين الزمن
+
+234
+00:30:36,750 --> 00:30:41,470
+حسبيته؟ ليش؟
+
+235
+00:30:41,470 --> 00:30:43,830
+بعتمدش في الحالة هذه
+
+236
+00:30:47,540 --> 00:30:59,500
+لو اتحرك أفقيًا، اتحرك أفقيًا، لكن لو اتحرك بميل،
+
+237
+00:30:59,500 --> 00:31:04,800
+بيختلف الشيء، لأن اتحرك أفقيًا، بيعني الزمن ما يعتمدش
+
+238
+00:31:04,800 --> 00:31:10,720
+على الـ .. يعني أي أسفير الدنيا تتجاوز على نفس
+
+239
+00:31:10,720 --> 00:31:14,260
+الزمن، نفس السرعة الترددية، بالظبط
+
+240
+00:31:16,580 --> 00:31:20,240
+عشان .. عشان اندحرج أسهل بكثير ما تسحب و تسحب
+
+241
+00:31:20,240 --> 00:31:28,980
+لو تحط أنت كرة و تحاول تدحرجها تكون أسهل، بس بدها
+
+242
+00:31:28,980 --> 00:31:32,860
+شغل منك
+
+243
+00:31:32,860 --> 00:31:40,360
+حل
+
+244
+00:31:40,360 --> 00:31:41,100
+كرانبيتال
+
+245
+00:32:09,190 --> 00:32:15,190
+طيب عندي two solid spheres، radius
+
+246
+00:32:15,190 --> 00:32:19,030
+ثلاثة انش، كل سُفير نسقط على ثلاثة انش، ووزنها اثنين
+
+247
+00:32:19,030 --> 00:32:23,590
+pound، يعني الـ r عندي ثلاثة انش
+
+248
+00:32:29,920 --> 00:32:41,360
+و الوزن تاع السُفير ثلاثة pound، اثنين pound are
+
+249
+00:32:41,360 --> 00:32:44,840
+mounted on a spinning horizontal، في عندي قضيب أفقي
+
+250
+00:32:44,840 --> 00:32:48,780
+بدور، الأشياء
+
+251
+00:32:48,780 --> 00:32:50,800
+اللي كانت، دول الصورة على الزاوية كانت دول الصورة
+
+252
+00:32:50,800 --> 00:32:54,740
+على الزاوية ستة radians per second، يعني omega تاعت
+
+253
+00:32:54,740 --> 00:32:55,100
+القضيب
+
+254
+00:32:57,800 --> 00:33:05,280
+ومجرد واحد كم؟ ستة رديان per
+
+255
+00:33:05,280 --> 00:33:09,000
+second، the
+
+256
+00:33:09,000 --> 00:33:12,520
+poles are held together by a string، ماسكين كانوا
+
+257
+00:33:12,520 --> 00:33:16,680
+بخيط which
+
+258
+00:33:16,680 --> 00:33:20,640
+is suddenly cut، بعدين فجأة عملنا قطع للخيط، طبعًا
+
+259
+00:33:20,640 --> 00:33:21,500
+هيطردوا لبره
+
+260
+00:33:24,460 --> 00:33:27,560
+Determine the angular velocity of the rod after
+
+261
+00:33:27,560 --> 00:33:32,280
+the balls have moved to A' and B'، خلونا نطلع من الـ
+
+262
+00:33:32,280 --> 00:33:43,920
+top view، كان في البداية هاي
+
+263
+00:33:43,920 --> 00:33:44,260
+الـ rod
+
+264
+00:33:56,980 --> 00:34:11,460
+و في البداية كان السُفير لأن
+
+265
+00:34:11,460 --> 00:34:20,460
+الـ rod كله بدور، و كان في البداية I rod في
+
+266
+00:34:20,460 --> 00:34:22,780
+الـ omega واحد
+
+267
+00:34:32,450 --> 00:34:37,370
+إذا بتضغط بالشكل هذا، مانعته
+
+268
+00:34:37,370 --> 00:34:41,310
+هتكون عندي هنا M
+
+269
+00:34:41,310 --> 00:34:52,150
+سُفير، V سُفير واحد عندي
+
+270
+00:34:52,150 --> 00:34:59,490
+هنا M سُفير، V سُفير واحد
+
+271
+00:35:01,860 --> 00:35:04,740
+بتدور الشيء بسبب استحالة الدوران فيه، انقل لها الأش
+
+272
+00:35:04,740 --> 00:35:08,360
+اللي
+
+273
+00:35:08,360 --> 00:35:13,920
+هو I أمجا
+
+274
+00:35:13,920 --> 00:35:20,860
+واحد، I
+
+275
+00:35:20,860 --> 00:35:24,260
+أمجا واحد
+
+276
+00:35:31,510 --> 00:35:55,550
+طبعًا خلال مرحلة الدوران تقدر
+
+277
+00:35:55,550 --> 00:35:59,150
+تاخدهم مع بعض، أي سُفير
+
+278
+00:36:03,190 --> 00:36:07,290
+Ice field، و
+
+279
+00:36:07,290 --> 00:36:11,970
+أنا بطلع من الطبيعية، أنا أفقي، الوزن مش مبين ولا
+
+280
+00:36:11,970 --> 00:36:17,450
+دافع، ايش مش مبين يعني
+
+281
+00:36:17,450 --> 00:36:24,490
+هيكون هذا هيك، ووزنه هيك، وهذا وزنه هيك، صح؟ بس هنا
+
+282
+00:36:24,490 --> 00:36:31,510
+في عندي ايه؟ بدي
+
+283
+00:36:31,510 --> 00:36:43,930
+أحكي RX في T و RY في T، صح؟
+
+284
+00:36:43,930 --> 00:36:52,330
+حيث ساوي الوضع
+
+285
+00:36:52,330 --> 00:36:52,910
+النهائي
+
+286
+00:37:08,340 --> 00:37:15,280
+حاسب السُفير هذا هنا، وهذا السُفير هنا
+
+287
+00:37:15,280 --> 00:37:19,060
+أي
+
+288
+00:37:19,060 --> 00:37:27,460
+حد عندك I رد، اومج اتنين، وهذا
+
+289
+00:37:27,460 --> 00:37:35,280
+سيكون اهم سُفير
+
+290
+00:37:39,290 --> 00:37:51,090
+و I سُفير، و
+
+291
+00:37:51,090 --> 00:37:51,410
+عندي
+
+292
+00:38:15,080 --> 00:38:23,140
+يعني الـ system momenta واحد زاد
+
+293
+00:38:23,140 --> 00:38:27,060
+الـ impulse واحد
+
+294
+00:38:27,060 --> 00:38:34,280
+لا اثنين، سواء الـ system momenta اثنين
+
+295
+00:38:34,280 --> 00:38:41,660
+أنا
+
+296
+00:38:41,660 --> 00:38:42,660
+سامع هذا نقطة أو
+
+297
+00:38:47,500 --> 00:39:00,940
+أنا آخذ moment، و moment about
+
+298
+00:39:00,940 --> 00:39:07,060
+أو
+
+299
+00:39:07,060 --> 00:39:14,520
+خلال التابع، clockwise موجب
+
+300
+00:39:19,070 --> 00:39:26,570
+الـ rod عندي I rod Omega
+
+301
+00:39:26,570 --> 00:39:35,990
+واحد في
+
+302
+00:39:35,990 --> 00:39:40,750
+الأول كانت المسافة خمسة انش، خمسة مئة R واحد في
+
+303
+00:39:40,750 --> 00:39:47,910
+الأول خمسة مئة R واحد زائد
+
+304
+00:39:50,260 --> 00:39:58,340
+M سُفير V سُفير واحد R واحد زائد
+
+305
+00:39:58,340 --> 00:40:06,000
+طبعًا في اثنين في اثنين زائد
+
+306
+00:40:06,000 --> 00:40:09,740
+I
+
+307
+00:40:09,740 --> 00:40:18,800
+سُفير Omega سُفير في اثنين، هذه وهذه، صح؟
+
+308
+00:40:22,120 --> 00:40:28,680
+الآن هنا صفر بأعمله
+
+309
+00:40:28,680 --> 00:40:33,040
+شغلة حيث
+
+310
+00:40:33,040 --> 00:40:38,400
+ساوي هي
+
+311
+00:40:38,400 --> 00:40:42,040
+رد omega
+
+312
+00:40:42,040 --> 00:40:56,570
+2 زائد M سُفير V سُفير اثنين R اثنين في اثنين زائد I
+
+313
+00:40:56,570 --> 00:41:09,790
+سُفير Omega سُفير في اثنين، طيب
+
+314
+00:41:09,790 --> 00:41:18,370
+الـ I بتاعة السُفير ايش بالساوي، خلونا شغلات نخلصها، الـ
+
+315
+00:41:18,370 --> 00:41:19,390
+I بتاعة السُفير
+
+316
+00:41:22,280 --> 00:41:32,420
+اثنين على خمسة W على جي، اللي هي M معطيني
+
+317
+00:41:32,420 --> 00:41:38,980
+الـ R تبعتها R²، سوى
+
+318
+00:41:38,980 --> 00:41:45,380
+اثنين على خمسة في اثنين على اثنين و ثلاثين و اثنين
+
+319
+00:41:45,380 --> 00:41:52,170
+وعشرة الـ R اللي هي ثلاثة على اثنا عشر، انتبه لوحدها
+
+320
+00:41:52,170 --> 00:41:57,590
+ربع تربيع
+
+321
+00:41:57,590 --> 00:42:00,790
+والـ
+
+322
+00:42:00,790 --> 00:42:06,110
+I بتاعة الـ rod اثنينها
+
+323
+00:42:06,110 --> 00:42:10,110
+ربع
+
+324
+00:42:10,110 --> 00:42:13,210
+pound
+
+325
+00:42:13,210 --> 00:42:16,510
+foot second square
+
+326
+00:42:23,960 --> 00:42:30,000
+احسبوا اللي I تاعت السُفير واحد
+
+327
+00:42:30,000 --> 00:42:36,340
+بوينت هذا
+
+328
+00:42:36,340 --> 00:42:42,640
+الـ
+
+329
+00:42:42,640 --> 00:42:43,400
+I تاعت السُفير
+
+330
+00:42:59,070 --> 00:43:05,770
+الآن الـ V Sphere بشكل عام، سواء
+
+331
+00:43:05,770 --> 00:43:20,290
+R أو أمجا، صح؟ مظبوط يعني
+
+332
+00:43:20,290 --> 00:43:22,950
+خلونا نرجع الـ I rod اللي هي بوينت اثنين خمسة
+
+333
+00:43:27,880 --> 00:43:35,120
+في واحد ستة زائد ام سفير اللي هي اثنين على اثنين و
+
+334
+00:43:35,120 --> 00:43:42,360
+ثلاثين اثنين من عشرة في
+
+335
+00:43:42,360 --> 00:43:51,080
+الـ V سُفير اللي هي اوميجا في R في ستة
+
+336
+00:43:51,080 --> 00:43:55,960
+R تربيع بيصير صح، اللي هي ربع
+
+337
+00:43:59,960 --> 00:44:13,120
+في اثنين صح، زائد واحد بوينت خمسة خمسة في عشرة سالب
+
+338
+00:44:13,120 --> 00:44:25,180
+ثلاثة في ستة في اثنين بتساوي الـ I
+
+339
+00:44:25,180 --> 00:44:28,120
+الـ rod اللي هي برضه بوينت تو فايف
+
+340
+00:44:45,600 --> 00:44:54,960
+زائد اثنين في R
+
+341
+00:44:54,960 --> 00:45:00,020
+اثنين اللي هي كم؟ هتكون خمسة وعشرين، خمسة وعشرين
+
+342
+00:45:00,020 --> 00:45:04,860
+على اثنا عشر، خمسة وعشرين على
+
+343
+00:45:04,860 --> 00:45:16,740
+اثنا عشر لكل تربيع في اثنين زائد واحد بوينت خمسة خمسة
+
+344
+00:45:16,740 --> 00:45:27,500
+في اثنين في اوميجا اثنين، ومن
+
+345
+00:45:27,500 --> 00:45:31,680
+هنا نحسب اوميجا
+
+346
+00:45:31,680 --> 00:45:32,060
+اثنين
+
+347
+00:46:05,210 --> 00:46:18,330
+واحد بوينت ثمانية أربعة radian per second، أكيد
+
+348
+00:46:18,330 --> 00:46:22,830
+هتقل السرعة يعني
+
+349
+00:46:22,830 --> 00:46:28,850
+تجربتي يكونوا دور وضم وزي هيك بسرعة، تفرد بيصير
+
+350
+00:46:28,850 --> 00:46:29,230
+أبطأ
+
+351
+00:46:33,690 --> 00:46:36,770
+مطلوب أن الـ energy lost due to the plastic impact
+
+352
+00:46:36,770 --> 00:46:41,150
+of the spheres، الآن اللي محتاج الـ energy ايش
+
+353
+00:46:41,150 --> 00:46:47,230
+كانت؟
+
+354
+00:46:47,230 --> 00:46:50,370
+خمسة
+
+355
+00:46:50,370 --> 00:46:54,810
+و اثنا عشر، آه
+
+356
+00:46:54,810 --> 00:47:00,830
+اللي هي خمسة و اثنا عشر، يعني اللي
+
+357
+00:47:00,830 --> 00:47:09,490
+هي هذه، صح؟ هذه خمسة أو
+
+358
+00:47:09,490 --> 00:47:16,590
+اثنا عشر تربيع، بس هنا هي ايه، أنا أقول كده، أنا أقول
+
+359
+00:47:16,590 --> 00:47:17,050
+كده، أنا أقول كده، أنا أقول كده، أنا أقول كده، أنا
+
+360
+00:47:17,050 --> 00:47:17,110
+أقول كده، أنا أقول كده، أنا أقول كده، أنا أقول كده
+
+361
+00:47:17,110 --> 00:47:17,470
+أنا أقول كده، أنا أقول كده، أنا أقول كده، أنا أقول
+
+362
+00:47:17,470 --> 00:47:20,570
+كده، أنا أقول كده، أنا أقول كده، أنا أقول كده، أنا
+
+363
+00:47:20,570 --> 00:47:21,890
+كده، أنا أقول كده، أنا أقول كده، أنا أقول كده، أنا
+
+364
+00:47:21,890 --> 00:47:24,150
+أقول كده، أنا أقول
+
+365
+00:47:35,710 --> 00:47:42,670
+طيب، الـ delta T بيساوي
+
+366
+00:47:42,670 --> 00:47:52,890
+T2 ناقص T1، T2 هي هتكون نص I
+
+367
+00:47:52,890 --> 00:47:56,670
+Rod Omega
+
+368
+00:47:56,670 --> 00:48:02,150
+2 تربيع زائد
+
+369
+00:48:05,090 --> 00:48:19,590
+نص ام سُفير V سُفير واحد تربيع زائد نص اثنين I سُفير
+
+370
+00:48:19,590 --> 00:48:31,270
+اوميجا سُفير اوميجا اثنين تربيع، كله في اثنين، أنا
+
+371
+00:48:31,270 --> 00:48:32,130
+سامع هذه T اثنين
+
+372
+00:48:35,580 --> 00:48:47,300
+باشا، و نحسبها هتكون نص الـ IR بوينت اثنين خمسة في
+
+373
+00:48:47,300 --> 00:48:56,820
+امج اثنين حسبتها، و
+
+374
+00:48:56,820 --> 00:49:02,240
+الـ T واحد اللي هتكون ساعة ونصف IR
+
+375
+00:49:03,560 --> 00:49:11,400
+امجا واحد تربيع زائد اثنين في نص ام سُفير V سُفير
+
+376
+00:49:11,400 --> 00:49:24,960
+واحد تربيع زائد نص I سُفير امجا واحد تربيع، حسنًا
+
+377
+00:49:24,960 --> 00:49:27,180
+Delta T بساوي T اثنين ناقص T واحد
+
+378
+00:49:39,210 --> 00:49:44,150
+اللحظة إن في conservation of angular momentum، لكن
+
+379
+00:49:44,150 --> 00:49:47,090
+ما فيش conservation of energy، في عندنا فقدنا جزء من
+
+380
+00:49:47,090 --> 00:49:58,030
+الطاقة في
+
+381
+00:49:58,030 --> 00:50:01,750
+أي سؤال؟ أعطاكم العافية، وحضروا أنفسكم نكمل
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Sf1RR1QF0Ts_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Sf1RR1QF0Ts_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..9c2c1634d51a5614aed0486cbac4407947da3407
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Sf1RR1QF0Ts_postprocess.srt
@@ -0,0 +1,1524 @@
+1
+00:00:04,990 --> 00:00:07,610
+بسم الله الرحمن الرحيم السلام عليكم و رحمة الله
+
+2
+00:00:07,610 --> 00:00:11,270
+هنكمل في ال chapter السبعتاشر اللي هو ال principle
+
+3
+00:00:11,270 --> 00:00:16,150
+of impulse and momentum و ال methods of work and
+
+4
+00:00:16,150 --> 00:00:19,570
+energy so far احنا قطينا ال principle of work and
+
+5
+00:00:19,570 --> 00:00:22,150
+energy اليوم هنحكي عن ال principle of impulse and
+
+6
+00:00:22,150 --> 00:00:28,090
+momentum ل rigid body زي ما انتوا شايفين في الصورة
+
+7
+00:00:28,090 --> 00:00:30,210
+عندي rigid body
+
+8
+00:00:34,000 --> 00:00:38,740
+كان له يعني بتحرك general plan motion يعني المركز
+
+9
+00:00:38,740 --> 00:00:44,680
+استقله له سرعة وفي rotation حوالي المركز استقل
+
+10
+00:00:44,680 --> 00:00:51,680
+معناته كل particle على الجسم له سرعة مختلفة عن ال
+
+11
+00:00:51,680 --> 00:00:54,420
+particle التاني يعني السرعة عند هذه النقطة مختلفة
+
+12
+00:00:54,420 --> 00:00:57,840
+عن هذه عند هذه وبالتالي كل particle بيكون له
+
+13
+00:00:57,840 --> 00:01:04,110
+momentum linear momentum عاديو هو تحت تأثير forces
+
+14
+00:01:04,110 --> 00:01:10,430
+اللي هي مجموعة F1 F2 F3 و هكذا طبعا في حياة ال
+
+15
+00:01:10,430 --> 00:01:16,190
+principle of impulse and momentum احنا نربط بين ال
+
+16
+00:01:16,190 --> 00:01:20,270
+force ال forces و ال seven و ال mass و ال velocity
+
+17
+00:01:20,270 --> 00:01:25,350
+نربط بين ال force و ال mass و ال velocity سواء
+
+18
+00:01:25,350 --> 00:01:27,790
+كانت linear velocity او angular velocity
+
+19
+00:01:30,940 --> 00:01:34,580
+ببساطة اللي هو ال momentum system momentum واحد
+
+20
+00:01:34,580 --> 00:01:38,540
+زائد ال impulse واحد لاتنين بيساوي ال system
+
+21
+00:01:38,540 --> 00:01:44,680
+momentum اتنين يعني الذخم الابتدائي زائد الدفع من
+
+22
+00:01:44,680 --> 00:01:47,220
+واحد لاتنين بيساوي الذخم النهائي
+
+23
+00:01:53,200 --> 00:01:58,020
+هيكون ال .. ال momentum للجسم مكونا من two vectors
+
+24
+00:01:58,020 --> 00:02:02,280
+ال vector الأولاني اللي هو linear momentum MV ال M
+
+25
+00:02:02,280 --> 00:02:05,380
+اللي هي ال mass بتاع ال rigid body و ال V هي ال
+
+26
+00:02:05,380 --> 00:02:11,560
+linear velocity لمركز الثقل و جزء rotational اللي
+
+27
+00:02:11,560 --> 00:02:16,640
+هو هيكون HG بسوء I Omega في عدة في حالة ان ال
+
+28
+00:02:16,640 --> 00:02:19,580
+rigid body متماثل حوالين المستوى
+
+29
+00:02:23,640 --> 00:02:27,100
+يعني لان تفاصيل ال part تجزس مني مش كتير بهمني أنا
+
+30
+00:02:27,100 --> 00:02:30,500
+سرعة مركز ثقة ال mv ال linear momentum لل mv واحد
+
+31
+00:02:30,500 --> 00:02:34,460
+وال angle momentum I omega واحد زاد ال impulse من
+
+32
+00:02:34,460 --> 00:02:38,000
+واحد لاتنين بيعطيني ال linear momentum لمركز ثقة
+
+33
+00:02:38,000 --> 00:02:42,720
+ال mv اتنين زاد ال I omega اتنين واضح ان عندي
+
+34
+00:02:42,720 --> 00:02:50,120
+ثلاثة equations واحدة في ال X واحدة في ال Y واحدة
+
+35
+00:02:50,120 --> 00:03:00,330
+momentأو moment of moment اللي هو عزم الذخم في
+
+36
+00:03:00,330 --> 00:03:06,610
+حالة الجسم بدور حوالين نقطة ليست واقع على مركز
+
+37
+00:03:06,610 --> 00:03:12,650
+استقل يعني أنا هاي الجسم مركز استقله G و بدور
+
+38
+00:03:12,650 --> 00:03:15,430
+حوالين O
+
+39
+00:03:18,600 --> 00:03:20,920
+اللي هتكون ال principle of impulse و ال momentum
+
+40
+00:03:20,920 --> 00:03:24,800
+اللي هي هتكون I O ال moment of inertia للجسم
+
+41
+00:03:24,800 --> 00:03:30,420
+حوالين O في Omega واحد زاد ال moment ال .. ال ..
+
+42
+00:03:30,420 --> 00:03:34,420
+ال system moment أو ال impulse من واحد لاتنين
+
+43
+00:03:34,420 --> 00:03:37,880
+بيستوى I O في Omega اتنين
+
+44
+00:03:43,520 --> 00:03:47,500
+والنوع external force acts on a rigid body or a
+
+45
+00:03:47,500 --> 00:03:49,880
+system of rigid bodies، وإذا مافيش عند external
+
+46
+00:03:49,880 --> 00:03:53,880
+forces، اللي حكينا هو system momenta واحد زاد ال
+
+47
+00:03:53,880 --> 00:03:56,300
+impulse واحد لاتنين، بيستوى system momenta من
+
+48
+00:03:56,300 --> 00:03:58,820
+اتنين، إذا مافيش external force، معناته الجزء
+
+49
+00:03:58,820 --> 00:04:01,980
+التاني بروح، معناته ال system momenta عند time T
+
+50
+00:04:01,980 --> 00:04:06,160
+واحد، بيستوى system momenta at T اتنين
+
+51
+00:04:09,120 --> 00:04:12,080
+ال totally momentum و ال anger momentum about and
+
+52
+00:04:12,080 --> 00:04:20,080
+are conserved و تكون عندك conservation of momentum
+
+53
+00:04:20,080 --> 00:04:26,500
+ال
+
+54
+00:04:26,500 --> 00:04:31,220
+sum إذا كان ال sum لل anger ال impulses حوالين ال
+
+55
+00:04:31,220 --> 00:04:34,760
+ال ال ال ال o اللي هو مركز الدوران
+
+56
+00:04:43,040 --> 00:04:48,880
+بتكون ال momentum هتكون صفر صح لكن هذا لا يعني ان
+
+57
+00:04:48,880 --> 00:04:51,220
+ال linear momentum بيكون عندك conservation في
+
+58
+00:04:51,220 --> 00:04:54,140
+angular momentum مش بضروري يعني انه في عندك
+
+59
+00:04:54,140 --> 00:04:58,400
+conservation ليناموت يعني فقط عندك HO واحد يستوي
+
+60
+00:04:58,400 --> 00:05:04,440
+HO اتنين شوف امثلة هذا المثال حالينا باستخدام
+
+61
+00:05:04,440 --> 00:05:07,520
+principle of work and energy هنحله باستخدام ال
+
+62
+00:05:07,520 --> 00:05:16,090
+principle of impulse ال momentumطيب الان عندى two
+
+63
+00:05:16,090 --> 00:05:26,670
+gears عندى ال gear بي drive ال gear a وي
+
+64
+00:05:26,670 --> 00:05:30,190
+apply ال torque قيمته ستة نيوتن متر M على ال gear
+
+65
+00:05:30,190 --> 00:05:39,690
+بي initialي ال M سواء ستة نيوتن مترو النظام بدأ
+
+66
+00:05:39,690 --> 00:05:44,410
+بالحركة من السكون neglecting friction إذا تم إهمال
+
+67
+00:05:44,410 --> 00:05:50,050
+الاحتكاك أوجد الزمن اللازم for gear b to reach an
+
+68
+00:05:50,050 --> 00:05:54,650
+angular velocity of 600 rpm أوجد الزمن اللازم عشان
+
+69
+00:05:54,650 --> 00:06:02,270
+الصورة الزاوية لgear b تصل ل 600 rpm يعني omega 2
+
+70
+00:06:02,270 --> 00:06:06,730
+سواء 600 rpm
+
+71
+00:06:08,280 --> 00:06:16,940
+يعني هتكون ستمية في اتنين باى ع ستين هتكون اتنين و
+
+72
+00:06:16,940 --> 00:06:20,700
+ستين one
+
+73
+00:06:20,700 --> 00:06:24,340
+تمانية
+
+74
+00:06:24,340 --> 00:06:32,020
+تلاتة radian per second طيب هذا ليش ال omega two
+
+75
+00:06:38,230 --> 00:06:45,650
+بدنا ال T انا
+
+76
+00:06:45,650 --> 00:06:56,370
+هاخد كل واحد لحالي عندي هاي ترس B وهي
+
+77
+00:06:56,370 --> 00:07:05,490
+ترس A احنا
+
+78
+00:07:05,490 --> 00:07:06,390
+بدأنا من السكون
+
+79
+00:07:09,050 --> 00:07:12,970
+يعني هكون عند ايه؟ صورة مركز ثقل، يعني هكون عند I
+
+80
+00:07:12,970 --> 00:07:17,770
+هو بعكس
+
+81
+00:07:17,770 --> 00:07:27,270
+القاروس يعني هكون عند I ب
+
+82
+00:07:27,270 --> 00:07:30,430
+Omega
+
+83
+00:07:30,430 --> 00:07:47,440
+Bواحد عندهين IA Omega A واحد زائد نعم
+
+84
+00:07:47,440 --> 00:07:50,060
+العكسة
+
+85
+00:08:02,390 --> 00:08:25,170
+خان دي M نحكي في Delta T file
+
+86
+00:08:25,170 --> 00:08:25,510
+A
+
+87
+00:08:29,660 --> 00:08:35,320
+Clockwise هنا فى
+
+88
+00:08:35,320 --> 00:08:46,340
+F Delta T هنا عكسها F Delta T فى
+
+89
+00:08:46,340 --> 00:08:50,600
+هنا كمان N
+
+90
+00:08:50,600 --> 00:08:56,760
+Delta T وهنا N Delta T
+
+91
+00:09:13,030 --> 00:09:28,370
+بتساوى I B Omega B 2 I
+
+92
+00:09:28,370 --> 00:09:37,720
+AOmega A اتنين بس
+
+93
+00:09:37,720 --> 00:09:47,560
+خليني احسبها حسريال انا اندي المعطين ال M A بس
+
+94
+00:09:47,560 --> 00:09:55,260
+و عشرة كيلو جرام و ال K A بتان ملي صح؟
+
+95
+00:09:58,880 --> 00:10:11,280
+و ال MB تلاتة كيلو جرام و ال KB تمانين مليمتر
+
+96
+00:10:16,550 --> 00:10:22,730
+مأكأ تربيع يعني سواء عشرة في point اتنين تربيع
+
+97
+00:10:22,730 --> 00:10:33,750
+يعني point four kilogram متر مربع و ال IP مبكب
+
+98
+00:10:33,750 --> 00:10:39,530
+تربيع يعني تلاتة في point اتمانية تربيع
+
+99
+00:10:41,820 --> 00:10:51,740
+و او واحد تسعة اتنين لان
+
+100
+00:10:51,740 --> 00:10:59,480
+في علاقة بين omega a و omega b عندي omega a ر a ثم
+
+101
+00:10:59,480 --> 00:11:10,720
+omega b ر بي يعني omega a هتساوي omega b
+
+102
+00:11:17,750 --> 00:11:27,830
+Rb ربي اللي هي مية على بيتين و خمسين يعني
+
+103
+00:11:27,830 --> 00:11:34,930
+point أربعة Omega بيه مظبوط
+
+104
+00:11:45,680 --> 00:11:51,440
+بدي أخد جير جير a جير بي
+
+105
+00:11:51,440 --> 00:12:02,560
+جير بي هيكون عندي I جير
+
+106
+00:12:02,560 --> 00:12:11,940
+a هيكون
+
+107
+00:12:11,940 --> 00:12:12,840
+I بي
+
+108
+00:12:21,290 --> 00:12:36,910
+اميجا اي بي اميجا بي واحد زائد اللي
+
+109
+00:12:36,910 --> 00:12:41,630
+هو ال impulse من واحد لاتنين
+
+110
+00:12:46,680 --> 00:13:01,360
+So I B Omega B اتنين الجير ايه ال I A Omega A واحد
+
+111
+00:13:01,360 --> 00:13:07,940
+زاد ال impulse عليه من واحد لاتنين So I A
+
+112
+00:13:16,260 --> 00:13:25,920
+طبعا هذه سفر بدّي من السكون صح هذه سفر omega
+
+113
+00:13:25,920 --> 00:13:35,720
+b2 عارفينها الآن الاشي اللي بيعمل impulse خلّيني
+
+114
+00:13:35,720 --> 00:13:44,700
+أخد moment حوالين moment ناخد moment اه
+
+115
+00:13:44,700 --> 00:13:45,360
+momentة
+
+116
+00:13:54,200 --> 00:14:05,580
+about center of B هيكون
+
+117
+00:14:05,580 --> 00:14:10,900
+اللي هو هيكون
+
+118
+00:14:10,900 --> 00:14:15,760
+M Delta
+
+119
+00:14:15,760 --> 00:14:16,100
+T
+
+120
+00:14:19,640 --> 00:14:32,920
+اللي هاد بتعملش minus F Delta T بساوي I B Omega B
+
+121
+00:14:32,920 --> 00:14:38,580
+اتنين هاي واحد بالنسبة ل A برضه هناخد ال moment
+
+122
+00:14:38,580 --> 00:14:42,540
+moment about A ال center هكون عند
+
+123
+00:14:53,310 --> 00:15:00,410
+هاخد ال moment of
+
+124
+00:15:00,410 --> 00:15:03,810
+momenta
+
+125
+00:15:03,810 --> 00:15:09,530
+about center of A
+
+126
+00:15:23,450 --> 00:15:32,570
+هيكون minus F Delta T بتساوي
+
+127
+00:15:32,570 --> 00:15:42,310
+بيهد برضه بالمينوس minus I A
+
+128
+00:15:42,310 --> 00:15:48,610
+Omega A 2 اتنين
+
+129
+00:15:48,610 --> 00:15:51,670
+add
+
+130
+00:15:51,670 --> 00:15:52,310
+one and two
+
+131
+00:15:55,800 --> 00:16:07,080
+one and two اتروح هذه مع هذه صح هاكون عندى M Delta
+
+132
+00:16:07,080 --> 00:16:21,700
+T بسوء I B Omega B اتنين زاد I
+
+133
+00:16:21,700 --> 00:16:33,550
+Aامجا اتنين انا هكون point اربعة في اتنين وستين
+
+134
+00:16:33,550 --> 00:16:43,150
+point تمانية تلاتة زاد point او واحد تسعة اتنين في
+
+135
+00:16:43,150 --> 00:16:49,170
+point اربعة اللي هي في لحظة
+
+136
+00:16:54,190 --> 00:17:01,430
+يعني انا هكون هذا ib omega b اتنين زاد bond اربعة
+
+137
+00:17:01,430 --> 00:17:09,830
+ia omega b اتنين يعني انا هكون الساوي omega b
+
+138
+00:17:09,830 --> 00:17:15,530
+اتنين اللي هي اتنين ستين في
+
+139
+00:17:15,530 --> 00:17:23,130
+ib اللي هي bond zero واحد تسعة اتنين زاد bond
+
+140
+00:17:23,130 --> 00:17:33,330
+اربعةفي point اربعة صح؟ والان
+
+141
+00:17:33,330 --> 00:17:43,670
+عندك كم؟ ستة في delta T فانتو delta T بالساوية
+
+142
+00:17:43,670 --> 00:17:48,930
+سبعة واحد
+
+143
+00:17:48,930 --> 00:17:53,610
+point تمانية سبعة ستة واحد point تمانية سبعة ستة
+
+144
+00:17:56,760 --> 00:18:00,360
+Second المطلوب التاني هو the tangential force
+
+145
+00:18:00,360 --> 00:18:08,560
+exerted by gear B on gear A فالـ F هتساوي IA
+
+146
+00:18:08,560 --> 00:18:17,560
+أميجاي اللي هي Pont 4 أميجا بي اتنين على دلتا D
+
+147
+00:18:17,560 --> 00:18:24,740
+اللي هتكون Pont 4 في Pont 4 في
+
+148
+00:18:26,370 --> 00:18:33,090
+نينو ستين point تمانية تلاتة على واحد point تمانية
+
+149
+00:18:33,090 --> 00:18:46,410
+سبعة ستة خمسة point فيها
+
+150
+00:18:46,410 --> 00:18:46,510
+سؤال
+
+151
+00:19:02,930 --> 00:19:05,930
+شوف مثال .. هذا حلنا المثال بس هنحله باستخدام
+
+152
+00:19:05,930 --> 00:19:07,590
+principle of impulse and momentum
+
+153
+00:19:44,170 --> 00:19:46,690
+A uniform sphere of mass m and radius r is
+
+154
+00:19:46,690 --> 00:19:49,650
+projected along a rough horizontal surface with a
+
+155
+00:19:49,650 --> 00:19:54,070
+linear velocity v and no angular velocity في عند
+
+156
+00:19:54,070 --> 00:20:01,290
+كرة كتلة m نصف كترة r تم القاها على سطح أفقي خشن
+
+157
+00:20:01,290 --> 00:20:07,290
+بسرعة ابتدائية v بدون يعني السرعة الزاوية كانت صفر
+
+158
+00:20:07,290 --> 00:20:13,130
+معامل الاحتكاك الديناميكي mu kdetermine the time
+
+159
+00:20:13,130 --> 00:20:15,530
+at which the sphere will start rolling without
+
+160
+00:20:15,530 --> 00:20:18,790
+sliding طبعا هو هتبدأ slide و شوية شوية slide roll
+
+161
+00:20:18,790 --> 00:20:22,770
+slide roll لحد ماشي تمسك حالة بنظلها ماشية في
+
+162
+00:20:22,770 --> 00:20:29,410
+rolling فبدو ال time الآن هيكون عندي ال impulse
+
+163
+00:20:29,410 --> 00:20:35,530
+momentum الشكل ال impulse momentum هتبدأ الكورة
+
+164
+00:20:35,530 --> 00:20:41,430
+ب M V
+
+165
+00:20:44,500 --> 00:20:49,980
+خلال فترة اللى
+
+166
+00:20:49,980 --> 00:20:56,340
+كانت فيها حركة انزلاق و تدحرج كان
+
+167
+00:20:56,340 --> 00:21:00,520
+في عندى الوزن MG
+
+168
+00:21:00,520 --> 00:21:08,120
+هسميها T بدل Delta T او هسميها طيب في عندى رد
+
+169
+00:21:08,120 --> 00:21:11,300
+الفعل عمودي N في T
+
+170
+00:21:15,230 --> 00:21:20,070
+و فى عندى الاحتكاك
+
+171
+00:21:20,070 --> 00:21:30,490
+اللى هو F في T ال
+
+172
+00:21:30,490 --> 00:21:37,690
+final momentum اللى
+
+173
+00:21:37,690 --> 00:21:42,830
+هو هيكون عندى M
+
+174
+00:21:42,830 --> 00:21:43,750
+V2
+
+175
+00:21:49,700 --> 00:22:03,500
+I او ميجاتو هذا
+
+176
+00:22:03,500 --> 00:22:13,220
+ال momentum figure moment واحد system
+
+177
+00:22:13,220 --> 00:22:22,730
+وانت واحد زاد ال impulsesمن واحد لاتنين sound
+
+178
+00:22:22,730 --> 00:22:37,610
+momenta system momenta اتنين كل
+
+179
+00:22:37,610 --> 00:22:38,950
+واحدة long ال Y اكسس
+
+180
+00:22:50,250 --> 00:22:59,870
+فش هين متحركش تجاه رأسه فى عندى minus mgt زاد nt
+
+181
+00:22:59,870 --> 00:23:09,850
+سويش سفر يعني ال n سواء
+
+182
+00:23:09,850 --> 00:23:13,690
+mg تجاه ال x
+
+183
+00:23:28,450 --> 00:23:38,650
+mv minus ft بالساوية
+
+184
+00:23:38,650 --> 00:23:43,950
+و
+
+185
+00:23:43,950 --> 00:23:51,150
+ال F هتساوي لإن فيني sliding هتكون ال F u k فعلا
+
+186
+00:23:51,150 --> 00:23:58,680
+صح؟يعني هيكون M
+
+187
+00:23:58,680 --> 00:24:17,140
+V minus M G U K في T سواء M V2 خلينا نتخصر ال M
+
+188
+00:24:17,140 --> 00:24:19,020
+معناته V2
+
+189
+00:24:45,670 --> 00:24:49,370
+طيب خناخد ال moment حوالين moment و moment
+
+190
+00:24:59,730 --> 00:25:06,770
+of momenta about مثلا
+
+191
+00:25:06,770 --> 00:25:10,810
+جي هذا
+
+192
+00:25:10,810 --> 00:25:19,290
+هتكون ايش؟ صفر هتكون
+
+193
+00:25:19,290 --> 00:25:21,630
+عندي خلنا نتبر هذا موجب هيك
+
+194
+00:25:25,720 --> 00:25:33,100
+هيكون FT في R بساوي
+
+195
+00:25:33,100 --> 00:25:37,480
+I Omega
+
+196
+00:25:37,480 --> 00:25:44,480
+2 طيب
+
+197
+00:25:44,480 --> 00:25:52,700
+ال F اللي هي عبارة عن MG TR
+
+198
+00:25:54,790 --> 00:26:01,390
+ال I اللي شفيره احنا اكمل كده ال I اتنين على خمسة
+
+199
+00:26:01,390 --> 00:26:06,990
+MR تربيع سوى
+
+200
+00:26:06,990 --> 00:26:10,470
+اتنين على خمسة
+
+201
+00:26:10,470 --> 00:26:14,650
+MR تربيع
+
+202
+00:26:14,650 --> 00:26:20,250
+في Omega اتنين في
+
+203
+00:26:20,250 --> 00:26:24,230
+اندي كمان MUK
+
+204
+00:26:33,340 --> 00:26:38,920
+هيروح M و
+
+205
+00:26:38,920 --> 00:26:47,760
+R مع R فانت Omega اتنين هتكون
+
+206
+00:26:47,760 --> 00:26:59,680
+تساوي خمسة على اتنين UK GT
+
+207
+00:26:59,680 --> 00:27:02,420
+على R
+
+208
+00:27:08,320 --> 00:27:13,640
+الـ trolling بيكون في علاقة بين omega 2 و V2 صح ما
+
+209
+00:27:13,640 --> 00:27:20,900
+زال في rolling ايش اللي علاقة ال trolling بالظبط
+
+210
+00:27:20,900 --> 00:27:31,380
+بيكون عند V2 او omega 2 في R يعني عوض عن V2
+
+211
+00:27:49,270 --> 00:27:56,270
+طيب معناته ممكن اجي انا احكي هنا ال
+
+212
+00:27:56,270 --> 00:28:01,970
+V T بيسوا Omega 2 في R يعني هيكون عندي ال
+
+213
+00:28:01,970 --> 00:28:13,790
+Omega 2 في R بيسوا V minus Mu K G في T ال Omega 2
+
+214
+00:28:13,790 --> 00:28:15,830
+عبارة عن ايه؟ خمسة على اتنين
+
+215
+00:28:19,100 --> 00:28:35,020
+ميو كي جي ت على ار في ار so v minus ميو كي جي في ت
+
+216
+00:28:35,020 --> 00:28:44,260
+هيروح ار مع ار هجيبها جهة تانية بيصير عنده خمسة
+
+217
+00:28:44,260 --> 00:28:50,220
+على اتنين زاد اتنين على اتنينسبعة على اتنين سبعة
+
+218
+00:28:50,220 --> 00:28:56,100
+على اتنين معناته ال T هتكون
+
+219
+00:28:56,100 --> 00:29:02,800
+تساوي اتنين على سبعة V
+
+220
+00:29:02,800 --> 00:29:06,620
+على ميو كيجي
+
+221
+00:29:14,900 --> 00:29:18,020
+at the time I twitch the sphere will start rolling
+
+222
+00:29:18,020 --> 00:29:22,500
+without sliding خلاص بعد ما عرفت ال time بقدر أحسب
+
+223
+00:29:22,500 --> 00:29:28,340
+إيه في ال omega 2 ال omega 2 هتكون تساوي خمسة على
+
+224
+00:29:28,340 --> 00:29:38,660
+اتنين ميو كي جي على ار في ال T اللي هو اتنين على
+
+225
+00:29:38,660 --> 00:29:48,870
+سبعةV على ميو كي جي يعني
+
+226
+00:29:48,870 --> 00:29:56,370
+ميو كي مع ميو كي جي مع جي يعني خمسة على سبعة V
+
+227
+00:29:56,370 --> 00:30:04,850
+على R و ال V تنين هتكون Omega تنين في R يعني هتكون
+
+228
+00:30:04,850 --> 00:30:06,450
+خمسة على سبعة V
+
+229
+00:30:15,410 --> 00:30:17,770
+اللحظة اللي حللناها بال principle .. ال principle
+
+230
+00:30:17,770 --> 00:30:22,850
+of impulse بمنطقة أسهل بكتير فانت .. انت عندك ..
+
+231
+00:30:22,850 --> 00:30:27,490
+يعني ممكن تحلل المثلة بأكتر من طريقة الزمن بعتمدش
+
+232
+00:30:27,490 --> 00:30:31,570
+على ال moment of finish بقى ناس فيه؟ نعم الزمن ال
+
+233
+00:30:31,570 --> 00:30:36,750
+.. المكن الصدر .. طبعا .. الزمن .. احنا وين الزمن
+
+234
+00:30:36,750 --> 00:30:41,470
+حسبيته؟ ليش؟
+
+235
+00:30:41,470 --> 00:30:43,830
+بعتمدش في الحالة هذه
+
+236
+00:30:47,540 --> 00:30:59,500
+لو اتحرك أفكى، اتحرك أفكى، لكن لو اتحرك بميل،
+
+237
+00:30:59,500 --> 00:31:04,800
+بختلف الشيء، لأن اتحرك أفكى، بيعني الزمن ماعتمدش
+
+238
+00:31:04,800 --> 00:31:10,720
+على ال .. يعني اي أسفير الدنيا تتجاوز على نفس
+
+239
+00:31:10,720 --> 00:31:14,260
+الزمن، نفس السرعية التدائية، بالظبط
+
+240
+00:31:16,580 --> 00:31:20,240
+عشان .. عشان اندحرج إيجي أسهل بكتير ما تسحل و سحل
+
+241
+00:31:20,240 --> 00:31:28,980
+لو تحط انت كورة و تحاول اندحرجها تكون أسهل بس بدها
+
+242
+00:31:28,980 --> 00:31:32,860
+نكشف منك
+
+243
+00:31:32,860 --> 00:31:40,360
+حل
+
+244
+00:31:40,360 --> 00:31:41,100
+كرانبيتال
+
+245
+00:32:09,190 --> 00:32:15,190
+طيب عندي two solid spheres radius
+
+246
+00:32:15,190 --> 00:32:19,030
+تلاتة انش كل سفير نسقط على تلاتة انش ووزنها اتنين
+
+247
+00:32:19,030 --> 00:32:23,590
+pound يعني الار عندي تلاتة انش
+
+248
+00:32:29,920 --> 00:32:41,360
+و الوزن تاع الاسفير تلاتة pound اتنين pound are
+
+249
+00:32:41,360 --> 00:32:44,840
+mounted on a spinning horizontal في عند رد أفقي
+
+250
+00:32:44,840 --> 00:32:48,780
+بدور الاشياء
+
+251
+00:32:48,780 --> 00:32:50,800
+اللي كانت دول الصورة على الزاوية كانت دول الصورة
+
+252
+00:32:50,800 --> 00:32:54,740
+على الزاوية ستة radians per second يعني omega تاعة
+
+253
+00:32:54,740 --> 00:32:55,100
+الرد
+
+254
+00:32:57,800 --> 00:33:05,280
+ومجرد واحد كم؟ ست رديان per
+
+255
+00:33:05,280 --> 00:33:09,000
+second the
+
+256
+00:33:09,000 --> 00:33:12,520
+poles are held together by a string مابسكين كانوا
+
+257
+00:33:12,520 --> 00:33:16,680
+خيط which
+
+258
+00:33:16,680 --> 00:33:20,640
+is suddenly cut بعدين فجأة عملنا قطع للخيط طبعا
+
+259
+00:33:20,640 --> 00:33:21,500
+هيطردوا لبره
+
+260
+00:33:24,460 --> 00:33:27,560
+Determine the angular velocity of the rod after
+
+261
+00:33:27,560 --> 00:33:32,280
+the balls have moved to A' and B' خلنا نطلع من ال
+
+262
+00:33:32,280 --> 00:33:43,920
+top view كان في البداية هاي
+
+263
+00:33:43,920 --> 00:33:44,260
+ال rod
+
+264
+00:33:56,980 --> 00:34:11,460
+و في هند كان سفير لأن
+
+265
+00:34:11,460 --> 00:34:20,460
+ال rod كله بدور الو كان في البداية I rod في
+
+266
+00:34:20,460 --> 00:34:22,780
+ال omega واحد
+
+267
+00:34:32,450 --> 00:34:37,370
+إذا بتضغط بالشكل هذا مانعته
+
+268
+00:34:37,370 --> 00:34:41,310
+هتكون عندي هنا M
+
+269
+00:34:41,310 --> 00:34:52,150
+سفير V سفير واحد عندي
+
+270
+00:34:52,150 --> 00:34:59,490
+هنا M سفير V سفير واحد
+
+271
+00:35:01,860 --> 00:35:04,740
+بتدور الشيء بسبب استحاول الدور فيه انقل لها اش
+
+272
+00:35:04,740 --> 00:35:08,360
+اللي
+
+273
+00:35:08,360 --> 00:35:13,920
+هو I أمجا
+
+274
+00:35:13,920 --> 00:35:20,860
+واحد I
+
+275
+00:35:20,860 --> 00:35:24,260
+أمجا واحد
+
+276
+00:35:31,510 --> 00:35:55,550
+طبعا خلال مرحلة الدوران تقدر
+
+277
+00:35:55,550 --> 00:35:59,150
+تاخدهم مع بعض اي سفير
+
+278
+00:36:03,190 --> 00:36:07,290
+Ice field و
+
+279
+00:36:07,290 --> 00:36:11,970
+أنا بطلع من الطبيوية أنا أفقي الوزن مش مبين و لا
+
+280
+00:36:11,970 --> 00:36:17,450
+دلفعل ايش مش مبين يعني
+
+281
+00:36:17,450 --> 00:36:24,490
+هيكون هذا هيك و وزنه هيك و هذا وزنه هيك صح؟ بس هنا
+
+282
+00:36:24,490 --> 00:36:31,510
+في عند ايه؟ بدي
+
+283
+00:36:31,510 --> 00:36:43,930
+احكي RXفي T و RY في T صح؟
+
+284
+00:36:43,930 --> 00:36:52,330
+حيث ساوي الوضع
+
+285
+00:36:52,330 --> 00:36:52,910
+النهائي
+
+286
+00:37:08,340 --> 00:37:15,280
+حاسي الاسفير هذا هنا وهذا الاسفير هنا
+
+287
+00:37:15,280 --> 00:37:19,060
+اي
+
+288
+00:37:19,060 --> 00:37:27,460
+حد عندك I رد اومج اتنين وهذا
+
+289
+00:37:27,460 --> 00:37:35,280
+سيكون اهم اسفير
+
+290
+00:37:39,290 --> 00:37:51,090
+و I أسفير و
+
+291
+00:37:51,090 --> 00:37:51,410
+عندي
+
+292
+00:38:15,080 --> 00:38:23,140
+يعني ال system momenta واحد زاد
+
+293
+00:38:23,140 --> 00:38:27,060
+ال impulse واحد
+
+294
+00:38:27,060 --> 00:38:34,280
+لاتنين سواء ال system momenta اتنين
+
+295
+00:38:34,280 --> 00:38:41,660
+انا
+
+296
+00:38:41,660 --> 00:38:42,660
+سامع هذا نقطة او
+
+297
+00:38:47,500 --> 00:39:00,940
+انا اخد moment و moment ا about
+
+298
+00:39:00,940 --> 00:39:07,060
+او
+
+299
+00:39:07,060 --> 00:39:14,520
+خلال التابع clockwise موجب
+
+300
+00:39:19,070 --> 00:39:26,570
+الرد عند I رد Omega
+
+301
+00:39:26,570 --> 00:39:35,990
+واحد في
+
+302
+00:39:35,990 --> 00:39:40,750
+الأول كانت المسافة خمس انش خمسة مية R واحد في
+
+303
+00:39:40,750 --> 00:39:47,910
+الأول خمسة مية R واحد زائد
+
+304
+00:39:50,260 --> 00:39:58,340
+M أسفير V أسفير واحد R واحد زائد
+
+305
+00:39:58,340 --> 00:40:06,000
+طبعا في اتنين في اتنين زائد
+
+306
+00:40:06,000 --> 00:40:09,740
+I
+
+307
+00:40:09,740 --> 00:40:18,800
+أسفير Omega أسفير في اتنين هذه و هذه صح؟
+
+308
+00:40:22,120 --> 00:40:28,680
+الان هنا صفر بعمله
+
+309
+00:40:28,680 --> 00:40:33,040
+شعزم حيث
+
+310
+00:40:33,040 --> 00:40:38,400
+ساوي هي
+
+311
+00:40:38,400 --> 00:40:42,040
+رد omega
+
+312
+00:40:42,040 --> 00:40:56,570
+2 زاد M صفير V صفير اتنينR اتنين في اتنين زائد I
+
+313
+00:40:56,570 --> 00:41:09,790
+سفير Omega سفير في اتنين طيب
+
+314
+00:41:09,790 --> 00:41:18,370
+ال I بتاعة السفير ايش بالساوي خلنا شغلات نخلصها ال
+
+315
+00:41:18,370 --> 00:41:19,390
+I بتاعة السفير
+
+316
+00:41:22,280 --> 00:41:32,420
+اتنين على خمسة W على جيه اللي هي M معطيني
+
+317
+00:41:32,420 --> 00:41:38,980
+ال R تبعتها R² سوى
+
+318
+00:41:38,980 --> 00:41:45,380
+اتنين على خمسة في اتنين على اتنين و تلاتين و اتنين
+
+319
+00:41:45,380 --> 00:41:52,170
+و عشرة ال R اللي هيتلاتة على اتناش انتبه لوحدها
+
+320
+00:41:52,170 --> 00:41:57,590
+ربع تربية
+
+321
+00:41:57,590 --> 00:42:00,790
+وال
+
+322
+00:42:00,790 --> 00:42:06,110
+I بتاعة الرد ماتنيها
+
+323
+00:42:06,110 --> 00:42:10,110
+ربع
+
+324
+00:42:10,110 --> 00:42:13,210
+pound
+
+325
+00:42:13,210 --> 00:42:16,510
+foot second square
+
+326
+00:42:23,960 --> 00:42:30,000
+احسو اللي I تاعة الاسفير واحد
+
+327
+00:42:30,000 --> 00:42:36,340
+point هذا
+
+328
+00:42:36,340 --> 00:42:42,640
+ال
+
+329
+00:42:42,640 --> 00:42:43,400
+I تاعة الاسفير
+
+330
+00:42:59,070 --> 00:43:05,770
+الان ال V Sphere بشكل عام سواء
+
+331
+00:43:05,770 --> 00:43:20,290
+R أو أمجا صح؟ مظبوط يعني
+
+332
+00:43:20,290 --> 00:43:22,950
+خلينا نعود ال I rod اللي هي point اتنين خمسة
+
+333
+00:43:27,880 --> 00:43:35,120
+في واحد ستة زاد امسفير اللي هي اتنين على اتنين و
+
+334
+00:43:35,120 --> 00:43:42,360
+تلاتين اتنين من عشرة في
+
+335
+00:43:42,360 --> 00:43:51,080
+ال V سفير اللي هي اوميجا في R في ستة
+
+336
+00:43:51,080 --> 00:43:55,960
+R تربية بيصير صح اللي هي ربع
+
+337
+00:43:59,960 --> 00:44:13,120
+في اتنين صح زائد واحد point خمسة خمسة في عشرة سالب
+
+338
+00:44:13,120 --> 00:44:25,180
+تلاتة في ستة في اتنين بتساوي الاي
+
+339
+00:44:25,180 --> 00:44:28,120
+الرد اللي هي برضه point two five
+
+340
+00:44:45,600 --> 00:44:54,960
+زائد اتنين في R
+
+341
+00:44:54,960 --> 00:45:00,020
+اتنين اللي هي اكم هتكون خمسة و عشرين خمسة و عشرين
+
+342
+00:45:00,020 --> 00:45:04,860
+على اتناش خمسة و عشرين على
+
+343
+00:45:04,860 --> 00:45:16,740
+اتناش لكل تربيع في اتنينزاد واحد point خمسة خمسة
+
+344
+00:45:16,740 --> 00:45:27,500
+في اتنين في اوميجا اتنين ومن
+
+345
+00:45:27,500 --> 00:45:31,680
+هنا احسب اوميجا
+
+346
+00:45:31,680 --> 00:45:32,060
+اتنين
+
+347
+00:46:05,210 --> 00:46:18,330
+واحد point تمانية أربعة radian per second أكيد
+
+348
+00:46:18,330 --> 00:46:22,830
+هتقل الصورة يعني
+
+349
+00:46:22,830 --> 00:46:28,850
+تجربش يكونوا دور و ضم و زي هيك بسرعة تفرد بيصير
+
+350
+00:46:28,850 --> 00:46:29,230
+أبطأ
+
+351
+00:46:33,690 --> 00:46:36,770
+مطلوبة ان ال energy lost due to the plastic impact
+
+352
+00:46:36,770 --> 00:46:41,150
+of the spheres الان اللي ماحتاج ال energy ايش
+
+353
+00:46:41,150 --> 00:46:47,230
+كانت؟
+
+354
+00:46:47,230 --> 00:46:50,370
+خمسة
+
+355
+00:46:50,370 --> 00:46:54,810
+و اتناش اه
+
+356
+00:46:54,810 --> 00:47:00,830
+اللي هي خمسة و اتناش يعني اللي
+
+357
+00:47:00,830 --> 00:47:09,490
+هي هذه صح؟هذه خمسة او
+
+358
+00:47:09,490 --> 00:47:16,590
+اتناش تاربيع بس هنا هى ايه انا اقول كده انا اقول
+
+359
+00:47:16,590 --> 00:47:17,050
+كده انا اقول كده انا اقول كده انا اقول كده انا
+
+360
+00:47:17,050 --> 00:47:17,110
+اقول كده انا اقول كده انا اقول كده انا اقول كده
+
+361
+00:47:17,110 --> 00:47:17,470
+انا اقول كده انا اقول كده انا اقول كده انا اقول
+
+362
+00:47:17,470 --> 00:47:20,570
+كده انا اقول كده انا اقول كده انا اقول كده انا
+
+363
+00:47:20,570 --> 00:47:21,890
+كده انا اقول كده انا اقول كده انا اقول كده انا
+
+364
+00:47:21,890 --> 00:47:24,150
+اقول كده انا اقول
+
+365
+00:47:35,710 --> 00:47:42,670
+طيب ال delta T بيساوي
+
+366
+00:47:42,670 --> 00:47:52,890
+T2 minus T1 T2 هي هتكون نص I
+
+367
+00:47:52,890 --> 00:47:56,670
+Rod Omega
+
+368
+00:47:56,670 --> 00:48:02,150
+2 تربيع زائد
+
+369
+00:48:05,090 --> 00:48:19,590
+نص ام سفير V سفير واحد تربيع زائد نص اتنين I سفير
+
+370
+00:48:19,590 --> 00:48:31,270
+اوميجا سفير اوميجا اتنين تربيع كله في اتنين انا
+
+371
+00:48:31,270 --> 00:48:32,130
+سامع هذه T اتنين
+
+372
+00:48:35,580 --> 00:48:47,300
+باشي و نحسبها هتكون نص ال IR point اتنين خمسة في
+
+373
+00:48:47,300 --> 00:48:56,820
+امج اتنين حسبتها و
+
+374
+00:48:56,820 --> 00:49:02,240
+ال T واحد اللي هتكون ساعة و نص IR
+
+375
+00:49:03,560 --> 00:49:11,400
+امجا واحد تربيع زائد اتنين في نص ام سفير V سفير
+
+376
+00:49:11,400 --> 00:49:24,960
+واحد تربيع زائد نص I سفير امجا واحد تربيع تحسن
+
+377
+00:49:24,960 --> 00:49:27,180
+Delta T بسوة T اتنين minus T واحد
+
+378
+00:49:39,210 --> 00:49:44,150
+اللحظة ان في conservation of angular momentum لكن
+
+379
+00:49:44,150 --> 00:49:47,090
+فيش conservation of energy، في عنده فقدنا جزء من
+
+380
+00:49:47,090 --> 00:49:58,030
+الطاقة في
+
+381
+00:49:58,030 --> 00:50:01,750
+أي سؤال؟ أعطوكوا العافية و حضر أجابي نكمل
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Sf1RR1QF0Ts_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Sf1RR1QF0Ts_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..2998dd67335d8c3d937a1b010291029bfec81983
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Sf1RR1QF0Ts_raw.srt
@@ -0,0 +1,1532 @@
+1
+00:00:04,990 --> 00:00:07,610
+بسم الله الرحمن الرحيم السلام عليكم و رحمة الله
+
+2
+00:00:07,610 --> 00:00:11,270
+هنكمل في ال chapter السبعتاشر اللي هو ال principle
+
+3
+00:00:11,270 --> 00:00:16,150
+of impulse and momentum و ال methods of work and
+
+4
+00:00:16,150 --> 00:00:19,570
+energy so far احنا قطينا ال principle of work and
+
+5
+00:00:19,570 --> 00:00:22,150
+energy اليوم هنحكي عن ال principle of impulse and
+
+6
+00:00:22,150 --> 00:00:28,090
+momentum ل rigid body زي ما انتوا شايفين في الصورة
+
+7
+00:00:28,090 --> 00:00:30,210
+عندي rigid body
+
+8
+00:00:34,000 --> 00:00:38,740
+كان له يعني بتحرك general plan motion يعني المركز
+
+9
+00:00:38,740 --> 00:00:44,680
+استقله له سرعة وفي rotation حوالي المركز استقل
+
+10
+00:00:44,680 --> 00:00:51,680
+معناته كل particle على الجسم له سرعة مختلفة عن ال
+
+11
+00:00:51,680 --> 00:00:54,420
+particle التاني يعني السرعة عند هذه النقطة مختلفة
+
+12
+00:00:54,420 --> 00:00:57,840
+عن هذه عند هذه وبالتالي كل particle بيكون له
+
+13
+00:00:57,840 --> 00:01:04,110
+momentum linear momentum عاديو هو تحت تأثير forces
+
+14
+00:01:04,110 --> 00:01:10,430
+اللي هي مجموعة F1 F2 F3 و هكذا طبعا في حياة ال
+
+15
+00:01:10,430 --> 00:01:16,190
+principle of impulse and momentum احنا نربط بين ال
+
+16
+00:01:16,190 --> 00:01:20,270
+force ال forces و ال seven و ال mass و ال velocity
+
+17
+00:01:20,270 --> 00:01:25,350
+نربط بين ال force و ال mass و ال velocity سواء
+
+18
+00:01:25,350 --> 00:01:27,790
+كانت linear velocity او angular velocity
+
+19
+00:01:30,940 --> 00:01:34,580
+ببساطة اللي هو ال momentum system momentum واحد
+
+20
+00:01:34,580 --> 00:01:38,540
+زائد ال impulse واحد لاتنين بيساوي ال system
+
+21
+00:01:38,540 --> 00:01:44,680
+momentum اتنين يعني الذخم الابتدائي زائد الدفع من
+
+22
+00:01:44,680 --> 00:01:47,220
+واحد لاتنين بيساوي الذخم النهائي
+
+23
+00:01:53,200 --> 00:01:58,020
+هيكون ال .. ال momentum للجسم مكونا من two vectors
+
+24
+00:01:58,020 --> 00:02:02,280
+ال vector الأولاني اللي هو linear momentum MV ال M
+
+25
+00:02:02,280 --> 00:02:05,380
+اللي هي ال mass بتاع ال rigid body و ال V هي ال
+
+26
+00:02:05,380 --> 00:02:11,560
+linear velocity لمركز الثقل و جزء rotational اللي
+
+27
+00:02:11,560 --> 00:02:16,640
+هو هيكون HG بسوء I Omega في عدة في حالة ان ال
+
+28
+00:02:16,640 --> 00:02:19,580
+rigid body متماثل حوالين المستوى
+
+29
+00:02:23,640 --> 00:02:27,100
+يعني لان تفاصيل ال part تجزس مني مش كتير بهمني أنا
+
+30
+00:02:27,100 --> 00:02:30,500
+سرعة مركز ثقة ال mv ال linear momentum لل mv واحد
+
+31
+00:02:30,500 --> 00:02:34,460
+وال angle momentum I omega واحد زاد ال impulse من
+
+32
+00:02:34,460 --> 00:02:38,000
+واحد لاتنين بيعطيني ال linear momentum لمركز ثقة
+
+33
+00:02:38,000 --> 00:02:42,720
+ال mv اتنين زاد ال I omega اتنين واضح ان عندي
+
+34
+00:02:42,720 --> 00:02:50,120
+ثلاثة equations واحدة في ال X واحدة في ال Y واحدة
+
+35
+00:02:50,120 --> 00:03:00,330
+momentأو moment of moment اللي هو عزم الذخم في
+
+36
+00:03:00,330 --> 00:03:06,610
+حالة الجسم بدور حوالين نقطة ليست واقع على مركز
+
+37
+00:03:06,610 --> 00:03:12,650
+استقل يعني أنا هاي الجسم مركز استقله G و بدور
+
+38
+00:03:12,650 --> 00:03:15,430
+حوالين O
+
+39
+00:03:18,600 --> 00:03:20,920
+اللي هتكون ال principle of impulse و ال momentum
+
+40
+00:03:20,920 --> 00:03:24,800
+اللي هي هتكون I O ال moment of inertia للجسم
+
+41
+00:03:24,800 --> 00:03:30,420
+حوالين O في Omega واحد زاد ال moment ال .. ال ..
+
+42
+00:03:30,420 --> 00:03:34,420
+ال system moment أو ال impulse من واحد لاتنين
+
+43
+00:03:34,420 --> 00:03:37,880
+بيستوى I O في Omega اتنين
+
+44
+00:03:43,520 --> 00:03:47,500
+والنوع external force acts on a rigid body or a
+
+45
+00:03:47,500 --> 00:03:49,880
+system of rigid bodies، وإذا مافيش عند external
+
+46
+00:03:49,880 --> 00:03:53,880
+forces، اللي حكينا هو system momenta واحد زاد ال
+
+47
+00:03:53,880 --> 00:03:56,300
+impulse واحد لاتنين، بيستوى system momenta من
+
+48
+00:03:56,300 --> 00:03:58,820
+اتنين، إذا مافيش external force، معناته الجزء
+
+49
+00:03:58,820 --> 00:04:01,980
+التاني بروح، معناته ال system momenta عند time T
+
+50
+00:04:01,980 --> 00:04:06,160
+واحد، بيستوى system momenta at T اتنين
+
+51
+00:04:09,120 --> 00:04:12,080
+ال totally momentum و ال anger momentum about and
+
+52
+00:04:12,080 --> 00:04:20,080
+are conserved و تكون عندك conservation of momentum
+
+53
+00:04:20,080 --> 00:04:26,500
+ال
+
+54
+00:04:26,500 --> 00:04:31,220
+sum إذا كان ال sum لل anger ال impulses حوالين ال
+
+55
+00:04:31,220 --> 00:04:34,760
+ال ال ال ال o اللي هو مركز الدوران
+
+56
+00:04:43,040 --> 00:04:48,880
+بتكون ال momentum هتكون صفر صح لكن هذا لا يعني ان
+
+57
+00:04:48,880 --> 00:04:51,220
+ال linear momentum بيكون عندك conservation في
+
+58
+00:04:51,220 --> 00:04:54,140
+angular momentum مش بضروري يعني انه في عندك
+
+59
+00:04:54,140 --> 00:04:58,400
+conservation ليناموت يعني فقط عندك HO واحد يستوي
+
+60
+00:04:58,400 --> 00:05:04,440
+HO اتنين شوف امثلة هذا المثال حالينا باستخدام
+
+61
+00:05:04,440 --> 00:05:07,520
+principle of work and energy هنحله باستخدام ال
+
+62
+00:05:07,520 --> 00:05:16,090
+principle of impulse ال momentumطيب الان عندى two
+
+63
+00:05:16,090 --> 00:05:26,670
+gears عندى ال gear بي drive ال gear a وي
+
+64
+00:05:26,670 --> 00:05:30,190
+apply ال torque قيمته ستة نيوتن متر M على ال gear
+
+65
+00:05:30,190 --> 00:05:39,690
+بي initialي ال M سواء ستة نيوتن مترو النظام بدأ
+
+66
+00:05:39,690 --> 00:05:44,410
+بالحركة من السكون neglecting friction إذا تم إهمال
+
+67
+00:05:44,410 --> 00:05:50,050
+الاحتكاك أوجد الزمن اللازم for gear b to reach an
+
+68
+00:05:50,050 --> 00:05:54,650
+angular velocity of 600 rpm أوجد الزمن اللازم عشان
+
+69
+00:05:54,650 --> 00:06:02,270
+الصورة الزاوية لgear b تصل ل 600 rpm يعني omega 2
+
+70
+00:06:02,270 --> 00:06:06,730
+سواء 600 rpm
+
+71
+00:06:08,280 --> 00:06:16,940
+يعني هتكون ستمية في اتنين باى ع ستين هتكون اتنين و
+
+72
+00:06:16,940 --> 00:06:20,700
+ستين one
+
+73
+00:06:20,700 --> 00:06:24,340
+تمانية
+
+74
+00:06:24,340 --> 00:06:32,020
+تلاتة radian per second طيب هذا ليش ال omega two
+
+75
+00:06:38,230 --> 00:06:45,650
+بدنا ال T انا
+
+76
+00:06:45,650 --> 00:06:56,370
+هاخد كل واحد لحالي عندي هاي ترس B وهي
+
+77
+00:06:56,370 --> 00:07:05,490
+ترس A احنا
+
+78
+00:07:05,490 --> 00:07:06,390
+بدأنا من السكون
+
+79
+00:07:09,050 --> 00:07:12,970
+يعني هكون عند ايه؟ صورة مركز ثقل، يعني هكون عند I
+
+80
+00:07:12,970 --> 00:07:17,770
+هو بعكس
+
+81
+00:07:17,770 --> 00:07:27,270
+القاروس يعني هكون عند I ب
+
+82
+00:07:27,270 --> 00:07:30,430
+Omega
+
+83
+00:07:30,430 --> 00:07:47,440
+Bواحد عندهين IA Omega A واحد زائد نعم
+
+84
+00:07:47,440 --> 00:07:50,060
+العكسة
+
+85
+00:08:02,390 --> 00:08:25,170
+خان دي M نحكي في Delta T file
+
+86
+00:08:25,170 --> 00:08:25,510
+A
+
+87
+00:08:29,660 --> 00:08:35,320
+Clockwise هنا فى
+
+88
+00:08:35,320 --> 00:08:46,340
+F Delta T هنا عكسها F Delta T فى
+
+89
+00:08:46,340 --> 00:08:50,600
+هنا كمان N
+
+90
+00:08:50,600 --> 00:08:56,760
+Delta T وهنا N Delta T
+
+91
+00:09:13,030 --> 00:09:28,370
+بتساوى I B Omega B 2 I
+
+92
+00:09:28,370 --> 00:09:37,720
+AOmega A اتنين بس
+
+93
+00:09:37,720 --> 00:09:47,560
+خليني احسبها حسريال انا اندي المعطين ال M A بس
+
+94
+00:09:47,560 --> 00:09:55,260
+و عشرة كيلو جرام و ال K A بتان ملي صح؟
+
+95
+00:09:58,880 --> 00:10:11,280
+و ال MB تلاتة كيلو جرام و ال KB تمانين مليمتر
+
+96
+00:10:16,550 --> 00:10:22,730
+مأكأ تربيع يعني سواء عشرة في point اتنين تربيع
+
+97
+00:10:22,730 --> 00:10:33,750
+يعني point four kilogram متر مربع و ال IP مبكب
+
+98
+00:10:33,750 --> 00:10:39,530
+تربيع يعني تلاتة في point اتمانية تربيع
+
+99
+00:10:41,820 --> 00:10:51,740
+و او واحد تسعة اتنين لان
+
+100
+00:10:51,740 --> 00:10:59,480
+في علاقة بين omega a و omega b عندي omega a ر a ثم
+
+101
+00:10:59,480 --> 00:11:10,720
+omega b ر بي يعني omega a هتساوي omega b
+
+102
+00:11:17,750 --> 00:11:27,830
+Rb ربي اللي هي مية على بيتين و خمسين يعني
+
+103
+00:11:27,830 --> 00:11:34,930
+point أربعة Omega بيه مظبوط
+
+104
+00:11:45,680 --> 00:11:51,440
+بدي أخد جير جير a جير بي
+
+105
+00:11:51,440 --> 00:12:02,560
+جير بي هيكون عندي I جير
+
+106
+00:12:02,560 --> 00:12:11,940
+a هيكون
+
+107
+00:12:11,940 --> 00:12:12,840
+I بي
+
+108
+00:12:21,290 --> 00:12:36,910
+اميجا اي بي اميجا بي واحد زائد اللي
+
+109
+00:12:36,910 --> 00:12:41,630
+هو ال impulse من واحد لاتنين
+
+110
+00:12:46,680 --> 00:13:01,360
+So I B Omega B اتنين الجير ايه ال I A Omega A واحد
+
+111
+00:13:01,360 --> 00:13:07,940
+زاد ال impulse عليه من واحد لاتنين So I A
+
+112
+00:13:16,260 --> 00:13:25,920
+طبعا هذه سفر بدّي من السكون صح هذه سفر omega
+
+113
+00:13:25,920 --> 00:13:35,720
+b2 عارفينها الآن الاشي اللي بيعمل impulse خلّيني
+
+114
+00:13:35,720 --> 00:13:44,700
+أخد moment حوالين moment ناخد moment اه
+
+115
+00:13:44,700 --> 00:13:45,360
+momentة
+
+116
+00:13:54,200 --> 00:14:05,580
+about center of B هيكون
+
+117
+00:14:05,580 --> 00:14:10,900
+اللي هو هيكون
+
+118
+00:14:10,900 --> 00:14:15,760
+M Delta
+
+119
+00:14:15,760 --> 00:14:16,100
+T
+
+120
+00:14:19,640 --> 00:14:32,920
+اللي هاد بتعملش minus F Delta T بساوي I B Omega B
+
+121
+00:14:32,920 --> 00:14:38,580
+اتنين هاي واحد بالنسبة ل A برضه هناخد ال moment
+
+122
+00:14:38,580 --> 00:14:42,540
+moment about A ال center هكون عند
+
+123
+00:14:53,310 --> 00:15:00,410
+هاخد ال moment of
+
+124
+00:15:00,410 --> 00:15:03,810
+momenta
+
+125
+00:15:03,810 --> 00:15:09,530
+about center of A
+
+126
+00:15:23,450 --> 00:15:32,570
+هيكون minus F Delta T بتساوي
+
+127
+00:15:32,570 --> 00:15:42,310
+بيهد برضه بالمينوس minus I A
+
+128
+00:15:42,310 --> 00:15:48,610
+Omega A 2 اتنين
+
+129
+00:15:48,610 --> 00:15:51,670
+add
+
+130
+00:15:51,670 --> 00:15:52,310
+one and two
+
+131
+00:15:55,800 --> 00:16:07,080
+one and two اتروح هذه مع هذه صح هاكون عندى M Delta
+
+132
+00:16:07,080 --> 00:16:21,700
+T بسوء I B Omega B اتنين زاد I
+
+133
+00:16:21,700 --> 00:16:33,550
+Aامجا اتنين انا هكون point اربعة في اتنين وستين
+
+134
+00:16:33,550 --> 00:16:43,150
+point تمانية تلاتة زاد point او واحد تسعة اتنين في
+
+135
+00:16:43,150 --> 00:16:49,170
+point اربعة اللي هي في لحظة
+
+136
+00:16:54,190 --> 00:17:01,430
+يعني انا هكون هذا ib omega b اتنين زاد bond اربعة
+
+137
+00:17:01,430 --> 00:17:09,830
+ia omega b اتنين يعني انا هكون الساوي omega b
+
+138
+00:17:09,830 --> 00:17:15,530
+اتنين اللي هي اتنين ستين في
+
+139
+00:17:15,530 --> 00:17:23,130
+ib اللي هي bond zero واحد تسعة اتنين زاد bond
+
+140
+00:17:23,130 --> 00:17:33,330
+اربعةفي point اربعة صح؟ والان
+
+141
+00:17:33,330 --> 00:17:43,670
+عندك كم؟ ستة في delta T فانتو delta T بالساوية
+
+142
+00:17:43,670 --> 00:17:48,930
+سبعة واحد
+
+143
+00:17:48,930 --> 00:17:53,610
+point تمانية سبعة ستة واحد point تمانية سبعة ستة
+
+144
+00:17:56,760 --> 00:18:00,360
+Second المطلوب التاني هو the tangential force
+
+145
+00:18:00,360 --> 00:18:08,560
+exerted by gear B on gear A فالـ F هتساوي IA
+
+146
+00:18:08,560 --> 00:18:17,560
+أميجاي اللي هي Pont 4 أميجا بي اتنين على دلتا D
+
+147
+00:18:17,560 --> 00:18:24,740
+اللي هتكون Pont 4 في Pont 4 في
+
+148
+00:18:26,370 --> 00:18:33,090
+نينو ستين point تمانية تلاتة على واحد point تمانية
+
+149
+00:18:33,090 --> 00:18:46,410
+سبعة ستة خمسة point فيها
+
+150
+00:18:46,410 --> 00:18:46,510
+سؤال
+
+151
+00:19:02,930 --> 00:19:05,930
+شوف مثال .. هذا حلنا المثال بس هنحله باستخدام
+
+152
+00:19:05,930 --> 00:19:07,590
+principle of impulse and momentum
+
+153
+00:19:44,170 --> 00:19:46,690
+A uniform sphere of mass m and radius r is
+
+154
+00:19:46,690 --> 00:19:49,650
+projected along a rough horizontal surface with a
+
+155
+00:19:49,650 --> 00:19:54,070
+linear velocity v and no angular velocity في عند
+
+156
+00:19:54,070 --> 00:20:01,290
+كرة كتلة m نصف كترة r تم القاها على سطح أفقي خشن
+
+157
+00:20:01,290 --> 00:20:07,290
+بسرعة ابتدائية v بدون يعني السرعة الزاوية كانت صفر
+
+158
+00:20:07,290 --> 00:20:13,130
+معامل الاحتكاك الديناميكي mu kdetermine the time
+
+159
+00:20:13,130 --> 00:20:15,530
+at which the sphere will start rolling without
+
+160
+00:20:15,530 --> 00:20:18,790
+sliding طبعا هو هتبدأ slide و شوية شوية slide roll
+
+161
+00:20:18,790 --> 00:20:22,770
+slide roll لحد ماشي تمسك حالة بنظلها ماشية في
+
+162
+00:20:22,770 --> 00:20:29,410
+rolling فبدو ال time الآن هيكون عندي ال impulse
+
+163
+00:20:29,410 --> 00:20:35,530
+momentum الشكل ال impulse momentum هتبدأ الكورة
+
+164
+00:20:35,530 --> 00:20:41,430
+ب M V
+
+165
+00:20:44,500 --> 00:20:49,980
+خلال فترة اللى
+
+166
+00:20:49,980 --> 00:20:56,340
+كانت فيها حركة انزلاق و تدحرج كان
+
+167
+00:20:56,340 --> 00:21:00,520
+في عندى الوزن MG
+
+168
+00:21:00,520 --> 00:21:08,120
+هسميها T بدل Delta T او هسميها طيب في عندى رد
+
+169
+00:21:08,120 --> 00:21:11,300
+الفعل عمودي N في T
+
+170
+00:21:15,230 --> 00:21:20,070
+و فى عندى الاحتكاك
+
+171
+00:21:20,070 --> 00:21:30,490
+اللى هو F في T ال
+
+172
+00:21:30,490 --> 00:21:37,690
+final momentum اللى
+
+173
+00:21:37,690 --> 00:21:42,830
+هو هيكون عندى M
+
+174
+00:21:42,830 --> 00:21:43,750
+V2
+
+175
+00:21:49,700 --> 00:22:03,500
+I او ميجاتو هذا
+
+176
+00:22:03,500 --> 00:22:13,220
+ال momentum figure moment واحد system
+
+177
+00:22:13,220 --> 00:22:22,730
+وانت واحد زاد ال impulsesمن واحد لاتنين sound
+
+178
+00:22:22,730 --> 00:22:37,610
+momenta system momenta اتنين كل
+
+179
+00:22:37,610 --> 00:22:38,950
+واحدة long ال Y اكسس
+
+180
+00:22:50,250 --> 00:22:59,870
+فش هين متحركش تجاه رأسه فى عندى minus mgt زاد nt
+
+181
+00:22:59,870 --> 00:23:09,850
+سويش سفر يعني ال n سواء
+
+182
+00:23:09,850 --> 00:23:13,690
+mg تجاه ال x
+
+183
+00:23:28,450 --> 00:23:38,650
+mv minus ft بالساوية
+
+184
+00:23:38,650 --> 00:23:43,950
+و
+
+185
+00:23:43,950 --> 00:23:51,150
+ال F هتساوي لإن فيني sliding هتكون ال F u k فعلا
+
+186
+00:23:51,150 --> 00:23:58,680
+صح؟يعني هيكون M
+
+187
+00:23:58,680 --> 00:24:17,140
+V minus M G U K في T سواء M V2 خلينا نتخصر ال M
+
+188
+00:24:17,140 --> 00:24:19,020
+معناته V2
+
+189
+00:24:45,670 --> 00:24:49,370
+طيب خناخد ال moment حوالين moment و moment
+
+190
+00:24:59,730 --> 00:25:06,770
+of momenta about مثلا
+
+191
+00:25:06,770 --> 00:25:10,810
+جي هذا
+
+192
+00:25:10,810 --> 00:25:19,290
+هتكون ايش؟ صفر هتكون
+
+193
+00:25:19,290 --> 00:25:21,630
+عندي خلنا نتبر هذا موجب هيك
+
+194
+00:25:25,720 --> 00:25:33,100
+هيكون FT في R بساوي
+
+195
+00:25:33,100 --> 00:25:37,480
+I Omega
+
+196
+00:25:37,480 --> 00:25:44,480
+2 طيب
+
+197
+00:25:44,480 --> 00:25:52,700
+ال F اللي هي عبارة عن MG TR
+
+198
+00:25:54,790 --> 00:26:01,390
+ال I اللي شفيره احنا اكمل كده ال I اتنين على خمسة
+
+199
+00:26:01,390 --> 00:26:06,990
+MR تربيع سوى
+
+200
+00:26:06,990 --> 00:26:10,470
+اتنين على خمسة
+
+201
+00:26:10,470 --> 00:26:14,650
+MR تربيع
+
+202
+00:26:14,650 --> 00:26:20,250
+في Omega اتنين في
+
+203
+00:26:20,250 --> 00:26:24,230
+اندي كمان MUK
+
+204
+00:26:33,340 --> 00:26:38,920
+هيروح M و
+
+205
+00:26:38,920 --> 00:26:47,760
+R مع R فانت Omega اتنين هتكون
+
+206
+00:26:47,760 --> 00:26:59,680
+تساوي خمسة على اتنين UK GT
+
+207
+00:26:59,680 --> 00:27:02,420
+على R
+
+208
+00:27:08,320 --> 00:27:13,640
+الـ trolling بيكون في علاقة بين omega 2 و V2 صح ما
+
+209
+00:27:13,640 --> 00:27:20,900
+زال في rolling ايش اللي علاقة ال trolling بالظبط
+
+210
+00:27:20,900 --> 00:27:31,380
+بيكون عند V2 او omega 2 في R يعني عوض عن V2
+
+211
+00:27:49,270 --> 00:27:56,270
+طيب معناته ممكن اجي انا احكي هنا ال
+
+212
+00:27:56,270 --> 00:28:01,970
+V T بيسوا Omega 2 في R يعني هيكون عندي ال
+
+213
+00:28:01,970 --> 00:28:13,790
+Omega 2 في R بيسوا V minus Mu K G في T ال Omega 2
+
+214
+00:28:13,790 --> 00:28:15,830
+عبارة عن ايه؟ خمسة على اتنين
+
+215
+00:28:19,100 --> 00:28:35,020
+ميو كي جي ت على ار في ار so v minus ميو كي جي في ت
+
+216
+00:28:35,020 --> 00:28:44,260
+هيروح ار مع ار هجيبها جهة تانية بيصير عنده خمسة
+
+217
+00:28:44,260 --> 00:28:50,220
+على اتنين زاد اتنين على اتنينسبعة على اتنين سبعة
+
+218
+00:28:50,220 --> 00:28:56,100
+على اتنين معناته ال T هتكون
+
+219
+00:28:56,100 --> 00:29:02,800
+تساوي اتنين على سبعة V
+
+220
+00:29:02,800 --> 00:29:06,620
+على ميو كيجي
+
+221
+00:29:14,900 --> 00:29:18,020
+at the time I twitch the sphere will start rolling
+
+222
+00:29:18,020 --> 00:29:22,500
+without sliding خلاص بعد ما عرفت ال time بقدر أحسب
+
+223
+00:29:22,500 --> 00:29:28,340
+إيه في ال omega 2 ال omega 2 هتكون تساوي خمسة على
+
+224
+00:29:28,340 --> 00:29:38,660
+اتنين ميو كي جي على ار في ال T اللي هو اتنين على
+
+225
+00:29:38,660 --> 00:29:48,870
+سبعةV على ميو كي جي يعني
+
+226
+00:29:48,870 --> 00:29:56,370
+ميو كي مع ميو كي جي مع جي يعني خمسة على سبعة V
+
+227
+00:29:56,370 --> 00:30:04,850
+على R و ال V تنين هتكون Omega تنين في R يعني هتكون
+
+228
+00:30:04,850 --> 00:30:06,450
+خمسة على سبعة V
+
+229
+00:30:15,410 --> 00:30:17,770
+اللحظة اللي حللناها بال principle .. ال principle
+
+230
+00:30:17,770 --> 00:30:22,850
+of impulse بمنطقة أسهل بكتير فانت .. انت عندك ..
+
+231
+00:30:22,850 --> 00:30:27,490
+يعني ممكن تحلل المثلة بأكتر من طريقة الزمن بعتمدش
+
+232
+00:30:27,490 --> 00:30:31,570
+على ال moment of finish بقى ناس فيه؟ نعم الزمن ال
+
+233
+00:30:31,570 --> 00:30:36,750
+.. المكن الصدر .. طبعا .. الزمن .. احنا وين الزمن
+
+234
+00:30:36,750 --> 00:30:41,470
+حسبيته؟ ليش؟
+
+235
+00:30:41,470 --> 00:30:43,830
+بعتمدش في الحالة هذه
+
+236
+00:30:47,540 --> 00:30:59,500
+لو اتحرك أفكى، اتحرك أفكى، لكن لو اتحرك بميل،
+
+237
+00:30:59,500 --> 00:31:04,800
+بختلف الشيء، لأن اتحرك أفكى، بيعني الزمن ماعتمدش
+
+238
+00:31:04,800 --> 00:31:10,720
+على ال .. يعني اي أسفير الدنيا تتجاوز على نفس
+
+239
+00:31:10,720 --> 00:31:14,260
+الزمن، نفس السرعية التدائية، بالظبط
+
+240
+00:31:16,580 --> 00:31:20,240
+عشان .. عشان اندحرج إيجي أسهل بكتير ما تسحل و سحل
+
+241
+00:31:20,240 --> 00:31:28,980
+لو تحط انت كورة و تحاول اندحرجها تكون أسهل بس بدها
+
+242
+00:31:28,980 --> 00:31:32,860
+نكشف منك
+
+243
+00:31:32,860 --> 00:31:40,360
+حل
+
+244
+00:31:40,360 --> 00:31:41,100
+كرانبيتال
+
+245
+00:32:09,190 --> 00:32:15,190
+طيب عندي two solid spheres radius
+
+246
+00:32:15,190 --> 00:32:19,030
+تلاتة انش كل سفير نسقط على تلاتة انش ووزنها اتنين
+
+247
+00:32:19,030 --> 00:32:23,590
+pound يعني الار عندي تلاتة انش
+
+248
+00:32:29,920 --> 00:32:41,360
+و الوزن تاع الاسفير تلاتة pound اتنين pound are
+
+249
+00:32:41,360 --> 00:32:44,840
+mounted on a spinning horizontal في عند رد أفقي
+
+250
+00:32:44,840 --> 00:32:48,780
+بدور الاشياء
+
+251
+00:32:48,780 --> 00:32:50,800
+اللي كانت دول الصورة على الزاوية كانت دول الصورة
+
+252
+00:32:50,800 --> 00:32:54,740
+على الزاوية ستة radians per second يعني omega تاعة
+
+253
+00:32:54,740 --> 00:32:55,100
+الرد
+
+254
+00:32:57,800 --> 00:33:05,280
+ومجرد واحد كم؟ ست رديان per
+
+255
+00:33:05,280 --> 00:33:09,000
+second the
+
+256
+00:33:09,000 --> 00:33:12,520
+poles are held together by a string مابسكين كانوا
+
+257
+00:33:12,520 --> 00:33:16,680
+خيط which
+
+258
+00:33:16,680 --> 00:33:20,640
+is suddenly cut بعدين فجأة عملنا قطع للخيط طبعا
+
+259
+00:33:20,640 --> 00:33:21,500
+هيطردوا لبره
+
+260
+00:33:24,460 --> 00:33:27,560
+Determine the angular velocity of the rod after
+
+261
+00:33:27,560 --> 00:33:32,280
+the balls have moved to A' and B' خلنا نطلع من ال
+
+262
+00:33:32,280 --> 00:33:43,920
+top view كان في البداية هاي
+
+263
+00:33:43,920 --> 00:33:44,260
+ال rod
+
+264
+00:33:56,980 --> 00:34:11,460
+و في هند كان سفير لأن
+
+265
+00:34:11,460 --> 00:34:20,460
+ال rod كله بدور الو كان في البداية I rod في
+
+266
+00:34:20,460 --> 00:34:22,780
+ال omega واحد
+
+267
+00:34:32,450 --> 00:34:37,370
+إذا بتضغط بالشكل هذا مانعته
+
+268
+00:34:37,370 --> 00:34:41,310
+هتكون عندي هنا M
+
+269
+00:34:41,310 --> 00:34:52,150
+سفير V سفير واحد عندي
+
+270
+00:34:52,150 --> 00:34:59,490
+هنا M سفير V سفير واحد
+
+271
+00:35:01,860 --> 00:35:04,740
+بتدور الشيء بسبب استحاول الدور فيه انقل لها اش
+
+272
+00:35:04,740 --> 00:35:08,360
+اللي
+
+273
+00:35:08,360 --> 00:35:13,920
+هو I أمجا
+
+274
+00:35:13,920 --> 00:35:20,860
+واحد I
+
+275
+00:35:20,860 --> 00:35:24,260
+أمجا واحد
+
+276
+00:35:31,510 --> 00:35:55,550
+طبعا خلال مرحلة الدوران تقدر
+
+277
+00:35:55,550 --> 00:35:59,150
+تاخدهم مع بعض اي سفير
+
+278
+00:36:03,190 --> 00:36:07,290
+Ice field و
+
+279
+00:36:07,290 --> 00:36:11,970
+أنا بطلع من الطبيوية أنا أفقي الوزن مش مبين و لا
+
+280
+00:36:11,970 --> 00:36:17,450
+دلفعل ايش مش مبين يعني
+
+281
+00:36:17,450 --> 00:36:24,490
+هيكون هذا هيك و وزنه هيك و هذا وزنه هيك صح؟ بس هنا
+
+282
+00:36:24,490 --> 00:36:31,510
+في عند ايه؟ بدي
+
+283
+00:36:31,510 --> 00:36:43,930
+احكي RXفي T و RY في T صح؟
+
+284
+00:36:43,930 --> 00:36:52,330
+حيث ساوي الوضع
+
+285
+00:36:52,330 --> 00:36:52,910
+النهائي
+
+286
+00:37:08,340 --> 00:37:15,280
+حاسي الاسفير هذا هنا وهذا الاسفير هنا
+
+287
+00:37:15,280 --> 00:37:19,060
+اي
+
+288
+00:37:19,060 --> 00:37:27,460
+حد عندك I رد اومج اتنين وهذا
+
+289
+00:37:27,460 --> 00:37:35,280
+سيكون اهم اسفير
+
+290
+00:37:39,290 --> 00:37:51,090
+و I أسفير و
+
+291
+00:37:51,090 --> 00:37:51,410
+عندي
+
+292
+00:38:15,080 --> 00:38:23,140
+يعني ال system momenta واحد زاد
+
+293
+00:38:23,140 --> 00:38:27,060
+ال impulse واحد
+
+294
+00:38:27,060 --> 00:38:34,280
+لاتنين سواء ال system momenta اتنين
+
+295
+00:38:34,280 --> 00:38:41,660
+انا
+
+296
+00:38:41,660 --> 00:38:42,660
+سامع هذا نقطة او
+
+297
+00:38:47,500 --> 00:39:00,940
+انا اخد moment و moment ا about
+
+298
+00:39:00,940 --> 00:39:07,060
+او
+
+299
+00:39:07,060 --> 00:39:14,520
+خلال التابع clockwise موجب
+
+300
+00:39:19,070 --> 00:39:26,570
+الرد عند I رد Omega
+
+301
+00:39:26,570 --> 00:39:35,990
+واحد في
+
+302
+00:39:35,990 --> 00:39:40,750
+الأول كانت المسافة خمس انش خمسة مية R واحد في
+
+303
+00:39:40,750 --> 00:39:47,910
+الأول خمسة مية R واحد زائد
+
+304
+00:39:50,260 --> 00:39:58,340
+M أسفير V أسفير واحد R واحد زائد
+
+305
+00:39:58,340 --> 00:40:06,000
+طبعا في اتنين في اتنين زائد
+
+306
+00:40:06,000 --> 00:40:09,740
+I
+
+307
+00:40:09,740 --> 00:40:18,800
+أسفير Omega أسفير في اتنين هذه و هذه صح؟
+
+308
+00:40:22,120 --> 00:40:28,680
+الان هنا صفر بعمله
+
+309
+00:40:28,680 --> 00:40:33,040
+شعزم حيث
+
+310
+00:40:33,040 --> 00:40:38,400
+ساوي هي
+
+311
+00:40:38,400 --> 00:40:42,040
+رد omega
+
+312
+00:40:42,040 --> 00:40:56,570
+2 زاد M صفير V صفير اتنينR اتنين في اتنين زائد I
+
+313
+00:40:56,570 --> 00:41:09,790
+سفير Omega سفير في اتنين طيب
+
+314
+00:41:09,790 --> 00:41:18,370
+ال I بتاعة السفير ايش بالساوي خلنا شغلات نخلصها ال
+
+315
+00:41:18,370 --> 00:41:19,390
+I بتاعة السفير
+
+316
+00:41:22,280 --> 00:41:32,420
+اتنين على خمسة W على جيه اللي هي M معطيني
+
+317
+00:41:32,420 --> 00:41:38,980
+ال R تبعتها R² سوى
+
+318
+00:41:38,980 --> 00:41:45,380
+اتنين على خمسة في اتنين على اتنين و تلاتين و اتنين
+
+319
+00:41:45,380 --> 00:41:52,170
+و عشرة ال R اللي هيتلاتة على اتناش انتبه لوحدها
+
+320
+00:41:52,170 --> 00:41:57,590
+ربع تربية
+
+321
+00:41:57,590 --> 00:42:00,790
+وال
+
+322
+00:42:00,790 --> 00:42:06,110
+I بتاعة الرد ماتنيها
+
+323
+00:42:06,110 --> 00:42:10,110
+ربع
+
+324
+00:42:10,110 --> 00:42:13,210
+pound
+
+325
+00:42:13,210 --> 00:42:16,510
+foot second square
+
+326
+00:42:23,960 --> 00:42:30,000
+احسو اللي I تاعة الاسفير واحد
+
+327
+00:42:30,000 --> 00:42:36,340
+point هذا
+
+328
+00:42:36,340 --> 00:42:42,640
+ال
+
+329
+00:42:42,640 --> 00:42:43,400
+I تاعة الاسفير
+
+330
+00:42:59,070 --> 00:43:05,770
+الان ال V Sphere بشكل عام سواء
+
+331
+00:43:05,770 --> 00:43:20,290
+R أو أمجا صح؟ مظبوط يعني
+
+332
+00:43:20,290 --> 00:43:22,950
+خلينا نعود ال I rod اللي هي point اتنين خمسة
+
+333
+00:43:27,880 --> 00:43:35,120
+في واحد ستة زاد امسفير اللي هي اتنين على اتنين و
+
+334
+00:43:35,120 --> 00:43:42,360
+تلاتين اتنين من عشرة في
+
+335
+00:43:42,360 --> 00:43:51,080
+ال V سفير اللي هي اوميجا في R في ستة
+
+336
+00:43:51,080 --> 00:43:55,960
+R تربية بيصير صح اللي هي ربع
+
+337
+00:43:59,960 --> 00:44:13,120
+في اتنين صح زائد واحد point خمسة خمسة في عشرة سالب
+
+338
+00:44:13,120 --> 00:44:25,180
+تلاتة في ستة في اتنين بتساوي الاي
+
+339
+00:44:25,180 --> 00:44:28,120
+الرد اللي هي برضه point two five
+
+340
+00:44:45,600 --> 00:44:54,960
+زائد اتنين في R
+
+341
+00:44:54,960 --> 00:45:00,020
+اتنين اللي هي اكم هتكون خمسة و عشرين خمسة و عشرين
+
+342
+00:45:00,020 --> 00:45:04,860
+على اتناش خمسة و عشرين على
+
+343
+00:45:04,860 --> 00:45:16,740
+اتناش لكل تربيع في اتنينزاد واحد point خمسة خمسة
+
+344
+00:45:16,740 --> 00:45:27,500
+في اتنين في اوميجا اتنين ومن
+
+345
+00:45:27,500 --> 00:45:31,680
+هنا احسب اوميجا
+
+346
+00:45:31,680 --> 00:45:32,060
+اتنين
+
+347
+00:46:05,210 --> 00:46:18,330
+واحد point تمانية أربعة radian per second أكيد
+
+348
+00:46:18,330 --> 00:46:22,830
+هتقل الصورة يعني
+
+349
+00:46:22,830 --> 00:46:28,850
+تجربش يكونوا دور و ضم و زي هيك بسرعة تفرد بيصير
+
+350
+00:46:28,850 --> 00:46:29,230
+أبطأ
+
+351
+00:46:33,690 --> 00:46:36,770
+مطلوبة ان ال energy lost due to the plastic impact
+
+352
+00:46:36,770 --> 00:46:41,150
+of the spheres الان اللي ماحتاج ال energy ايش
+
+353
+00:46:41,150 --> 00:46:47,230
+كانت؟
+
+354
+00:46:47,230 --> 00:46:50,370
+خمسة
+
+355
+00:46:50,370 --> 00:46:54,810
+و اتناش اه
+
+356
+00:46:54,810 --> 00:47:00,830
+اللي هي خمسة و اتناش يعني اللي
+
+357
+00:47:00,830 --> 00:47:09,490
+هي هذه صح؟هذه خمسة او
+
+358
+00:47:09,490 --> 00:47:16,590
+اتناش تاربيع بس هنا هى ايه انا اقول كده انا اقول
+
+359
+00:47:16,590 --> 00:47:17,050
+كده انا اقول كده انا اقول كده انا اقول كده انا
+
+360
+00:47:17,050 --> 00:47:17,110
+اقول كده انا اقول كده انا اقول كده انا اقول كده
+
+361
+00:47:17,110 --> 00:47:17,470
+انا اقول كده انا اقول كده انا اقول كده انا اقول
+
+362
+00:47:17,470 --> 00:47:20,570
+كده انا اقول كده انا اقول كده انا اقول كده انا
+
+363
+00:47:20,570 --> 00:47:20,570
+اقول كده انا اقول كده انا اقول كده انا اقول كده
+
+364
+00:47:20,570 --> 00:47:20,570
+انا اقول كده انا اقول كده انا اقول كده انا اقول
+
+365
+00:47:20,570 --> 00:47:21,890
+كده انا اقول كده انا اقول كده انا اقول كده انا
+
+366
+00:47:21,890 --> 00:47:24,150
+اقول كده انا اقول
+
+367
+00:47:35,710 --> 00:47:42,670
+طيب ال delta T بيساوي
+
+368
+00:47:42,670 --> 00:47:52,890
+T2 minus T1 T2 هي هتكون نص I
+
+369
+00:47:52,890 --> 00:47:56,670
+Rod Omega
+
+370
+00:47:56,670 --> 00:48:02,150
+2 تربيع زائد
+
+371
+00:48:05,090 --> 00:48:19,590
+نص ام سفير V سفير واحد تربيع زائد نص اتنين I سفير
+
+372
+00:48:19,590 --> 00:48:31,270
+اوميجا سفير اوميجا اتنين تربيع كله في اتنين انا
+
+373
+00:48:31,270 --> 00:48:32,130
+سامع هذه T اتنين
+
+374
+00:48:35,580 --> 00:48:47,300
+باشي و نحسبها هتكون نص ال IR point اتنين خمسة في
+
+375
+00:48:47,300 --> 00:48:56,820
+امج اتنين حسبتها و
+
+376
+00:48:56,820 --> 00:49:02,240
+ال T واحد اللي هتكون ساعة و نص IR
+
+377
+00:49:03,560 --> 00:49:11,400
+امجا واحد تربيع زائد اتنين في نص ام سفير V سفير
+
+378
+00:49:11,400 --> 00:49:24,960
+واحد تربيع زائد نص I سفير امجا واحد تربيع تحسن
+
+379
+00:49:24,960 --> 00:49:27,180
+Delta T بسوة T اتنين minus T واحد
+
+380
+00:49:39,210 --> 00:49:44,150
+اللحظة ان في conservation of angular momentum لكن
+
+381
+00:49:44,150 --> 00:49:47,090
+فيش conservation of energy، في عنده فقدنا جزء من
+
+382
+00:49:47,090 --> 00:49:58,030
+الطاقة في
+
+383
+00:49:58,030 --> 00:50:01,750
+أي سؤال؟ أعطوكوا العافية و حضر أجابي نكمل
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Srbjg4oK43s.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Srbjg4oK43s.srt
new file mode 100644
index 0000000000000000000000000000000000000000..5b9eadbf46acece2898d3fa91ea1a15b5616c66e
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Srbjg4oK43s.srt
@@ -0,0 +1,907 @@
+
+1
+00:00:04,930 --> 00:00:07,070
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,070 --> 00:00:12,470
+وبركاته اليوم هنكمل المحاضرة الثانية في مادة ال
+
+3
+00:00:12,470 --> 00:00:16,470
+dynamics بدنا نحكي عن kinematics of particles
+
+4
+00:00:16,470 --> 00:00:20,750
+عرفنا الميكانيكا، عرفنا الميكانيكا هي العلم الذي يدرس
+
+5
+00:00:20,750 --> 00:00:26,340
+الأجسام في حالة السكون والحركة تحت تأثير القوة.
+
+6
+00:00:26,340 --> 00:00:29,780
+الـmechanics في mechanics of rigid bodies، mechanics
+
+7
+00:00:29,780 --> 00:00:32,500
+of fluids، mechanics of deformable bodies، إحنا
+
+8
+00:00:32,500 --> 00:00:35,580
+مهتمين في mechanics of rigid bodies، mechanics of
+
+9
+00:00:35,580 --> 00:00:39,220
+rigid bodies التي تنقسم لقسمين: الـstatics والـ
+
+10
+00:00:39,220 --> 00:00:39,680
+dynamics
+
+11
+00:00:42,960 --> 00:00:46,460
+تهتم أو تُعنى بدراسة الأجسام في حالة السكون. الـ
+
+12
+00:00:46,460 --> 00:00:50,980
+dynamics تُعنى بدراسة الأجسام في حالة الحركة. الـ
+
+13
+00:00:50,980 --> 00:00:54,900
+dynamics تنقسم إلى kinematics و kinetics. الـkinematics
+
+14
+00:00:54,900 --> 00:00:59,900
+تهتم بدراسة هندسة الحركة، التي هي الإزاحة، السرعة،
+
+15
+00:00:59,900 --> 00:01:06,880
+العجلة مع الزمن، بدون تطرق للمؤثر. الـkinetics تربط
+
+16
+00:01:06,880 --> 00:01:13,750
+هندسة الحركة بالمؤثر. بعد إيش بدأنا ندرس الحركة
+
+17
+00:01:13,750 --> 00:01:18,410
+وحكينا الحركة ممكن تكون على خط مستقيم أو على منحنى.
+
+18
+00:01:18,410 --> 00:01:24,990
+بدأنا ندرس الحركة على خط مستقيم، وحكينا ممكن الحركة
+
+19
+00:01:24,990 --> 00:01:29,930
+على خط مستقيم تكون العجلة دالة في الزمن أو دالة في
+
+20
+00:01:29,930 --> 00:01:35,080
+السرعة أو دالة في الإزاحة، وشوفنا إيش نجب المعادلات لكل
+
+21
+00:01:35,080 --> 00:01:39,420
+حالة. بعدين حلينا مثال واحد اثنين. اليوم هنحل مثال
+
+22
+00:01:39,420 --> 00:01:46,420
+جديد، ونكمل إن شاء الله. هنشوف المثال: عندي
+
+23
+00:01:46,420 --> 00:01:50,740
+a break mechanism is used to reduce gun recoil.
+
+24
+00:01:50,740 --> 00:01:54,800
+It consists of a piston attached to a barrel moving in
+
+25
+00:01:54,800 --> 00:02:01,390
+a fixed cylinder filled with oil. الآن في المدافع
+
+26
+00:02:01,390 --> 00:02:06,310
+لما نطلق المدفع، يندفع للخلف، فعشان يخليه يندفع
+
+27
+00:02:06,310 --> 00:02:12,710
+بعجلة تناقصية، بيكون في عندي piston موجود في الـ
+
+28
+00:02:12,710 --> 00:02:17,630
+cylinder. الـpiston فيه ثقوب. لو أخذنا يعني هيكون عندي
+
+29
+00:02:17,630 --> 00:02:24,270
+هذا الـcylinder في
+
+30
+00:02:24,270 --> 00:02:24,890
+عندي piston
+
+31
+00:02:30,320 --> 00:02:37,620
+وفي ثقوب على المحيط. لو أطلعت in the view هذا
+
+32
+00:02:37,620 --> 00:02:47,820
+الـshaft، وفي عندي ثقوب. فلما
+
+33
+00:02:47,820 --> 00:02:54,500
+يتدفع المدفع، يتحرك. just لما يتحرك، يصير هذا في
+
+34
+00:02:54,500 --> 00:03:01,280
+عندي زيت. إذا اتحرك بهذا الاتجاه، يبدأ الزيت يدخل
+
+35
+00:03:01,280 --> 00:03:08,280
+الفتحات هذه، فبيعمل تبطيء للحركة أو بيمتص ارتداد
+
+36
+00:03:08,280 --> 00:03:16,680
+العجلة في الحالة هذه معطى: الـ
+
+37
+00:03:16,680 --> 00:03:30,260
+a = -kv. أوجد السرعة والإزاحة كدالة مع الزمن
+
+38
+00:03:30,260 --> 00:03:38,020
+والسرعة كدالة مع الإزاحة. طيب، لأن الـa بيساوي -
+
+39
+00:03:38,020 --> 00:03:50,240
+kv، وإيش بيساوي dv/dt؟ يعني هيكون عندي قسمت
+
+40
+00:03:50,240 --> 00:03:59,040
+طرفين على v، وضربت بـdt، بيصير عندي dv/v = -k
+
+41
+00:03:59,040 --> 00:04:07,040
+dt. عملت تكامل من صفر إلى t، وهنا بدأت. صار عبارة عن v
+
+42
+00:04:07,040 --> 00:04:13,720
+node إلى v. بيصير
+
+43
+00:04:13,720 --> 00:04:25,640
+عندها الـlink. الـv من v node إلى v = -kt.
+
+44
+00:04:29,040 --> 00:04:37,720
+يعني هتكون هذه الـln الـln الـv على v node يساوي
+
+45
+00:04:37,720 --> 00:04:49,640
+-kt، صح؟ يعني هتكون الـv على v node تساوي
+
+46
+00:04:49,640 --> 00:04:54,040
+e⁻
+
+47
+00:04:54,040 --> 00:04:58,100
+kt، يعني
+
+48
+00:04:58,100 --> 00:04:58,380
+v
+
+49
+00:05:04,870 --> 00:05:11,770
+v = v₀e⁻ᵏᵗ. هذه علاقة السرعة مع الزمن. لو بدأنا ندور على
+
+50
+00:05:11,770 --> 00:05:16,510
+علاقة الإزاحة مع الزمن، إحنا بنعرف إن الـv إيش
+
+51
+00:05:16,510 --> 00:05:16,970
+بتساوي
+
+52
+00:05:24,840 --> 00:05:29,460
+هذا اللي بيساوي. v = v₀e⁻ᵏᵗ.
+
+53
+00:05:29,460 --> 00:05:38,360
+هنضرب الطرفين في dt، بيساوي dx = v₀e⁻ᵏᵗ
+
+54
+00:05:38,360 --> 00:05:50,240
+dt. هنعمل integral من صفر إلى t، وعندي هنا من x node
+
+55
+00:05:50,240 --> 00:05:53,760
+إلى x.
+
+56
+00:05:56,940 --> 00:06:08,440
+إيش اشتقاق الـdx؟ يعني هتكون x من x node إلى x
+
+57
+00:06:08,440 --> 00:06:17,340
+بتساوي اشتقاق الـe، اللي هي هتكون -v₀
+
+58
+00:06:17,340 --> 00:06:27,620
+/k e⁻ᵏᵗ من صفر إلى t، صح؟ يعني أنا
+
+59
+00:06:27,620 --> 00:06:34,620
+هيكون عندي x
+
+60
+00:06:34,620 --> 00:06:39,100
+- x node بتساوي
+
+61
+00:06:39,100 --> 00:06:50,820
+-v₀/k في [e⁻ᵏᵗ - 1]
+
+62
+00:06:50,820 --> 00:06:54,500
+- إيش قيمة صفر؟ اللي هي واحد.
+
+63
+00:06:57,960 --> 00:07:05,180
+يعني أنا هتكون، خلنا نسميها Δx =
+
+64
+00:07:05,180 --> 00:07:09,320
+v₀/
+
+65
+00:07:09,320 --> 00:07:13,620
+k في
+
+66
+00:07:13,620 --> 00:07:20,480
+[1 - e⁻ᵏᵗ]
+
+67
+00:07:20,480 --> 00:07:23,720
+طيب،
+
+68
+00:07:23,720 --> 00:07:29,570
+المطلوب الثالث: ده نحسب الـv ده اللي مع الـx. إحنا
+
+69
+00:07:29,570 --> 00:07:36,690
+عارفين الـa إيش بيساوي؟ الـ
+
+70
+00:07:36,690 --> 00:07:51,670
+a = -kv = v dv/dx. يعني هتروح
+
+71
+00:07:51,670 --> 00:08:00,750
+v مع v. هيكون عندي dv = -k dx، صح؟ بنعمل
+
+72
+00:08:00,750 --> 00:08:16,010
+تكامل من v node إلى v، ومن x node إلى x، هتكون
+
+73
+00:08:16,010 --> 00:08:29,250
+عندنا v من v node إلى v. v
+
+74
+00:08:29,250 --> 00:08:29,970
+رحت مع v
+
+75
+00:08:35,860 --> 00:08:45,840
+مظبوط؟ هتكون -kx من x node إلى x. يعني هتكون
+
+76
+00:08:45,840 --> 00:08:55,280
+عندنا v - v node = -k(x - x node)
+
+77
+00:08:56,120 --> 00:09:04,720
+يعني v هتكون تساوي v node - k(x - x
+
+78
+00:09:04,720 --> 00:09:15,260
+node) أو ممكن أحكي v node - kΔx. في
+
+79
+00:09:15,260 --> 00:09:15,920
+أي سؤال؟
+
+80
+00:09:20,920 --> 00:09:25,200
+دكتور أنا بس بأُسأل، الحين البستون في حالة الارتداد
+
+81
+00:09:25,200 --> 00:09:29,760
+بيخرج إزاي من البستون؟ صح؟ من الفتحات والثقوب. صحيح.
+
+82
+00:09:29,760 --> 00:09:32,600
+آه، الحين إزاي الزيت بيطلع تاني من البستون؟ شو بدي
+
+83
+00:09:32,600 --> 00:09:36,440
+أعمل إزاي عشان يطلع من البستون؟ هو طالع في حجرة مغلقة، هي
+
+84
+00:09:36,440 --> 00:09:39,360
+حجرة حجرة، يعني الزيت بيتحرك من هنا إلى هنا، و
+
+85
+00:09:39,360 --> 00:09:47,760
+العكس، ما بيطلعش بره. يعني ضمن هذا الإطار بتاعه. فهو إذا
+
+86
+00:09:47,760 --> 00:09:52,980
+.. إذا مش بـ .. إذا مش بهذا الاتجاه، هيدخل الزيت هيك.
+
+87
+00:09:52,980 --> 00:09:57,880
+إذا مش بالعكس، بيمشي .. بيدخل بالعكس، فهو الزيت بيتنقل
+
+88
+00:09:57,880 --> 00:10:06,280
+بين حجرته، بين الحجرة هذه والحجرة هذه. طيب،
+
+89
+00:10:06,280 --> 00:10:14,380
+هذه الأمثلة تحلوها .. تحلوها، وتحلوا إثنين على الـAdams.
+
+90
+00:10:14,380 --> 00:10:19,480
+يعني تحلوه يدويًا، وتحلو إثنين من هدول على الـ
+
+91
+00:10:19,480 --> 00:10:25,040
+Adams من اختياركم، وتسلموا الاثنين إن شاء الله.
+
+92
+00:10:44,030 --> 00:10:48,610
+نأخذ حالات خاصة من الحركة على خط مستقيم. الحالة
+
+93
+00:10:48,610 --> 00:10:53,890
+الخاصة الأولى: إن الجسم بيتحرك بسرعة منتظمة. يعني الـ
+
+94
+00:10:53,890 --> 00:10:57,850
+acceleration إيش ساوي؟ صفر. إذا كانت الـ
+
+95
+00:10:57,850 --> 00:11:04,050
+acceleration صفر، معناته السرعة إيش ساوي؟ v ساوي
+
+96
+00:11:04,050 --> 00:11:14,290
+constant، بيساوي dx/dt. يعني dx هتكون ساوي v dt.
+
+97
+00:11:14,290 --> 00:11:21,990
+السرعة التي حكينا عنها ثابتة. نعم، من x node إلى x
+
+98
+00:11:21,990 --> 00:11:31,710
+ومن v node إلى v. مش شرط يبدأ من الصفر، يعني هتكون dx
+
+99
+00:11:31,710 --> 00:11:37,630
+- x node. أنا فهمت في خطأ، يعني من الـzero اللي
+
+100
+00:11:37,630 --> 00:11:48,510
+هي من zero إلى t، هتكون v في t. يعني x = x node
+
+101
+00:11:48,510 --> 00:11:54,810
++ vt. هذه الحالة الأولى. الحالة الثانية: إنه
+
+102
+00:11:54,810 --> 00:11:58,350
+بيتحرك بـuniform acceleration. يعني الـacceleration
+
+103
+00:11:58,350 --> 00:12:05,410
+إيش مالها؟ constant. يعني الـa بيساوي dv
+
+104
+00:12:05,410 --> 00:12:11,110
+/dt، والـacceleration مالها؟ constant. يعني أنا
+
+105
+00:12:11,110 --> 00:12:20,310
+هيكون عندي dv = a dt. يعني من t = صفر إلى t، من
+
+106
+00:12:20,310 --> 00:12:31,220
+v node إلى v. يعني أنا هيكون عندي v - v₀ = at.
+
+107
+00:12:31,220 --> 00:12:43,720
+يعني v = v₀ + at. الـv إيش يساوي؟ dx/dt
+
+108
+00:12:43,720 --> 00:12:51,880
+= v₀ + at. نضرب
+
+109
+00:12:51,880 --> 00:13:00,750
+الطرفين في dt. يعني هيكون الـdx = v₀ + at dt.
+
+110
+00:13:00,750 --> 00:13:07,110
+هعمل تكامل من صفر إلى t، ومن x node إلى x. يعني
+
+111
+00:13:07,110 --> 00:13:25,570
+هيكون x - x node = v₀t + ½at². x = x node + v₀t + ½at².
+
+112
+00:13:25,570 --> 00:13:32,570
+هذه المعادلة بتطبق في حالة
+
+113
+00:13:32,570 --> 00:13:36,290
+كانت الـacceleration منتظمة.
+
+114
+00:13:39,670 --> 00:13:43,010
+أو الحالة الثالثة لما تكون الـacceleration دالة في
+
+115
+00:13:43,010 --> 00:13:46,350
+الـ
+
+116
+00:13:46,350 --> 00:13:57,070
+a = v dv/dx. يعني هيكون عندنا v dv = a
+
+117
+00:13:57,070 --> 00:14:06,390
+dx. يعني تكامل من x node إلى x، ويعني من v node إلى v.
+
+118
+00:14:06,390 --> 00:14:15,100
+يعني هيكون عندنا ½v² من v node إلى v =
+
+119
+00:14:15,100 --> 00:14:24,160
+a(x - x node). يعني هيكون ½v² - ½v node² = a
+
+120
+00:14:24,160 --> 00:14:30,480
+(x - x node). يعني نضرب الطرفين في اثنين
+
+121
+00:14:30,480 --> 00:14:35,860
+هيبقى عندنا v² = v node² + 2a
+
+122
+00:14:35,860 --> 00:14:38,620
+(x - x node)
+
+123
+00:14:47,910 --> 00:15:01,270
+هنشوف الحركة النسبية زي
+
+124
+00:15:01,270 --> 00:15:07,170
+ما أنتم شايفين عندي. هي بتمثل إحداثيات x وهي المركز
+
+125
+00:15:07,170 --> 00:15:14,550
+في particle عند نقطة a وparticle عند b. موقع الـ
+
+126
+00:15:14,550 --> 00:15:19,270
+particle a بالنسبة للorigin xₐ، موقع الـparticle b
+
+127
+00:15:19,270 --> 00:15:25,330
+بالنسبة للorigin xᵦ. موقع b بالنسبة لـa بيسمى xᵦ
+
+128
+00:15:25,330 --> 00:15:37,370
+- a. واضح إن xᵦ - a = xᵦ - xₐ. يعني xᵦ موقع b بالنسبة
+
+129
+00:15:37,370 --> 00:15:44,270
+للـorigin، بس موقع a بالنسبة للـorigin زي xᵦ
+
+130
+00:15:44,270 --> 00:15:52,460
+بالنسبة ليه؟ إذا بقى، العلاقة بتعطينا سرعة b، vᵦ =
+
+131
+00:15:52,460 --> 00:15:59,580
+vₐ + سرعة b بالنسبة لـa. بشتق كمان مرة، هيبقى الـ
+
+132
+00:15:59,580 --> 00:16:03,920
+acceleration للـb = acceleration للـa +
+
+133
+00:16:03,920 --> 00:16:09,860
+الـacceleration للـb بالنسبة لـa. هذا في حالة
+
+134
+00:16:09,860 --> 00:16:16,410
+الحركة على الخط المستقيم. في أنواع حركات بيكونش هذا
+
+135
+00:16:16,410 --> 00:16:19,630
+الشيء المفهوم، ينصح فيه إضافة، فيه شغلتين لازم نوضحهم.
+
+136
+00:16:19,630 --> 00:16:26,690
+هنشوف مثال: a
+
+137
+00:16:26,690 --> 00:16:33,550
+ball
+
+138
+00:16:33,550 --> 00:16:38,310
+thrown vertically from a twelve-meter level in
+
+139
+00:16:38,310 --> 00:16:41,210
+an elevator shaft with an initial
+
+140
+00:16:41,210 --> 00:16:44,070
+velocity of eighteen meters per
+
+141
+00:16:44,070 --> 00:16:51,170
+second. عندي بير تاع
+
+142
+00:16:51,170 --> 00:16:58,410
+مصعد. تم
+
+143
+00:16:58,410 --> 00:17:05,190
+قذف كرة من ارتفاع اثني عشر متر عن الأرض.
+
+144
+00:17:08,180 --> 00:17:12,880
+كانت عندي هذه اثني عشر
+
+145
+00:17:12,880 --> 00:17:17,600
+متر، رميناها
+
+146
+00:17:17,600 --> 00:17:26,080
+بسرعة ثمانية عشر متر في الثانية. at the same instant
+
+147
+00:17:26,080 --> 00:17:27,620
+في نفس
+
+148
+00:17:32,120 --> 00:17:35,920
+at the same instant, an open platform elevator passes
+
+149
+00:17:35,920 --> 00:17:40,460
+the five-meter level, moving upward at two meters per
+
+150
+00:17:40,460 --> 00:17:48,340
+second. في نفس اللحظة كان في عندي مصعد platform
+
+151
+00:17:48,340 --> 00:17:53,880
+يعني عبارة عن مصعد بلاطة، تطلع، ما فيهوش يعني حجرة
+
+152
+00:17:53,880 --> 00:17:57,480
+وكان عندي مصعد في نفس اللحظة
+
+153
+00:18:02,240 --> 00:18:14,300
+على ارتفاع خمسة أمتار، ومتحرك بسرعة
+
+154
+00:18:14,300 --> 00:18:20,280
+منتظمة، قيمتها اثنين متر في الثانية. هذا
+
+155
+00:18:20,280 --> 00:18:21,340
+إيش هذا؟ elevator
+
+156
+00:18:27,990 --> 00:18:31,250
+Determine when and where the ball hits the
+
+157
+00:18:31,250 --> 00:18:40,910
+elevator. أوجد أين ومتى تصطدم الكرة بالمصعد. طبعًا
+
+158
+00:18:40,910 --> 00:18:47,410
+في عندي حاجتين: في عندي اللي هو الـ
+
+159
+00:18:47,410 --> 00:18:51,590
+ball، و
+
+160
+00:18:51,590 --> 00:18:54,730
+عندي الـelevator.
+
+161
+00:18:58,680 --> 00:19:05,120
+أولًا، الـball إيش نوع الحركة بتاعته؟ free fall. إيش
+
+162
+00:19:05,120 --> 00:19:07,280
+يعني؟ أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو
+
+163
+00:19:07,280 --> 00:19:07,720
+أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو
+
+164
+00:19:07,720 --> 00:19:07,800
+أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو
+
+165
+00:19:07,800 --> 00:19:07,860
+أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو
+
+166
+00:19:07,860 --> 00:19:24,240
+أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو أو
+
+167
+00:19:24,240 --> 00:19:24,260
+أو
+
+168
+00:19:29,100 --> 00:19:33,960
+اللي هي الـa بتاع الـball، شو بيساوي؟ سالب ٩.٨٦ متر/ثانية². أنا لازم أُحدد
+
+169
+00:19:33,960 --> 00:19:38,820
+المحور، اللي هو ده، عندي هذا الاتجاه الموجب y، وهي الـ
+
+170
+00:19:38,820 --> 00:19:44,000
+origin. معناته
+
+171
+00:19:44,000 --> 00:19:51,580
+هتكون عندي، طبعًا دي أنا، v node إيش ساوي للـball؟
+
+172
+00:19:51,580 --> 00:19:58,950
+ساوي
+
+173
+00:19:58,950 --> 00:20:02,830
+ثمانية عشر متر/ثانية للأعلى. الآن، بدأ نوجد معادلات
+
+174
+00:20:09,190 --> 00:20:16,730
+الحركة. الحاجة اللي بنحكي عنها الآن، v ball = v = v
+
+175
+00:20:16,730 --> 00:20:27,190
+ball node + a ball في الـtime، صح؟ يعني، بنعوض: v =
+
+176
+00:20:27,190 --> 00:20:33,970
+اللي هي ثمانية عشر - ٩.٨٦t.
+
+177
+00:20:33,970 --> 00:20:44,630
+هذا للـball. الـy بتاعتها، الـy للـball هتكون y للـ
+
+178
+00:20:44,630 --> 00:20:56,190
+ball node + v ball node t + ½a للـball t².
+
+179
+00:20:56,190 --> 00:21:01,990
+الـy node، اللي هي كانت على بعد اثني عشر متر، صح؟ هتكون عند
+
+180
+0
+
+223
+00:26:27,720 --> 00:26:34,140
+point ثمانية
+
+224
+00:26:38,070 --> 00:26:43,350
+واحد ثلاثة ثلاثة
+
+225
+00:26:43,350 --> 00:26:52,030
+سفر ثمانية كان
+
+226
+00:26:52,030 --> 00:26:56,430
+واضح بتكون طالعة الكورة طلعت وصلت لأعلى ارتفاع، و
+
+227
+00:26:56,430 --> 00:27:03,270
+نزلت وهذا طالع، فعلت عند اثني عشر هذا المطول الأول
+
+228
+00:27:04,440 --> 00:27:10,360
+مطلوب التعين relative velocity of the ball with
+
+229
+00:27:10,360 --> 00:27:20,300
+respect to the elevator at contact. بشكل عام V ball
+
+230
+00:27:20,300 --> 00:27:24,080
+بالنسبة
+
+231
+00:27:24,080 --> 00:27:33,460
+للإليفتور أو V ball minus V elevator ، صح؟ V ball
+
+232
+00:27:36,030 --> 00:27:41,730
+التي ستكون ثمانية عشر ناقص
+
+233
+00:27:41,730 --> 00:27:49,670
+تسعة point ثمانية سفر ستة t
+
+234
+00:27:49,670 --> 00:27:54,630
+ناقص الـ
+
+235
+00:27:54,630 --> 00:28:01,390
+V elevator التي هي كم؟ التي هي اثنين
+
+236
+00:28:03,400 --> 00:28:17,520
+يعني ستساوي ستة عشر ناقص تسعة point ثمانية سفر ستة اثنين
+
+237
+00:28:17,520 --> 00:28:28,040
+طبعاً هذه العلاقة صحيحة لغاية ما يصطدم الجسمين
+
+238
+00:28:28,040 --> 00:28:31,550
+لأن فترة الصدام هذا موضوع آخر، من هذه العلاقة
+
+239
+00:28:31,550 --> 00:28:37,670
+الصحيحة لغاية ما يصطدم، طيب
+
+240
+00:28:37,670 --> 00:28:46,910
+الآن نعود لـ v ball بالنسبة للـ elevator عند الـ hit
+
+241
+00:28:46,910 --> 00:28:56,290
+ستكون ستة عشر ناقص تسعة point ثمانية سفر ستة بالـ t الـ
+
+242
+00:28:56,290 --> 00:29:12,010
+hit التي هي ثلاثة point ستة خمسة أربعة، أكيد ستكون
+
+243
+00:29:12,010 --> 00:29:21,030
+ بالسالب لأنها طالعة والواحد هذا نازل، ستكون عكسها سالب
+
+244
+00:29:29,740 --> 00:29:39,900
+meter per second أو ممكن أجيء أحكي أنه
+
+245
+00:29:39,900 --> 00:29:49,640
+أحسب الـ v ball لما اصطدمت بالـ elevator، بأعوض هنا ثمانية عشر
+
+246
+00:29:49,640 --> 00:29:54,240
+ناقص تسعة point ثمانية سفر ستة
+
+247
+00:29:56,070 --> 00:30:03,290
+في ثلاثة point ستة خمسة أربعة ستكون أيضا
+
+248
+00:30:03,290 --> 00:30:12,010
+ستساوي، ستكون ناقص
+
+249
+00:30:12,010 --> 00:30:16,730
+سبعة عشر point ثمانية ثلاثة واحد
+
+250
+00:30:23,780 --> 00:30:31,420
+زي دي، تعهد الثاني لأنه
+
+251
+00:30:31,420 --> 00:30:38,440
+نازل عكس الـ Y، عكس الـ positive Y، معناته VB بالـ
+
+252
+00:30:38,440 --> 00:30:46,960
+نسبة لل elevator عند الارتطام ستكون ناقص 17.831
+
+253
+00:30:46,960 --> 00:30:48,660
+ناقص 17.831
+
+254
+00:30:52,200 --> 00:30:58,200
+هتبين أسرع، والكرة طالعة وهي نازلة ماشيين عكس بعض
+
+255
+00:30:58,200 --> 00:31:04,760
+معناته إذا أحد في المصعد، هيشوف الكورة أسرع، ستكون
+
+256
+00:31:04,760 --> 00:31:17,920
+ناقص سبعة عشر point ثمانية ثلاثة واحد
+
+257
+00:31:17,920 --> 00:31:18,620
+أي سؤال؟
+
+258
+00:31:32,220 --> 00:31:40,420
+طيب اليوم مفروض نبدأ في الـ Adams، جاهز أحمد؟ العلاج
+
+259
+00:31:40,420 --> 00:31:49,580
+طبك جاهز؟ مافيش Adams على الجهاز نازل؟ طيب ماشي
+
+260
+00:31:50,540 --> 00:31:55,060
+الآن سنكمل، عشان الكل يكون عارف احنا من ضمن
+
+261
+00:31:55,060 --> 00:32:00,020
+خطة المصداق أن ندخل برنامج Adams، يعني المسائل ستُحل
+
+262
+00:32:00,020 --> 00:32:04,960
+بالطريقة اليدوية، وبعدين نعملها application على الـ
+
+263
+00:32:04,960 --> 00:32:11,820
+Adams، طبعاً سيتم من خلال الطلاب، كل طالب يعني سيحضر
+
+264
+00:32:11,820 --> 00:32:18,060
+مجموعة، وكل section ستكون به مسألتين على الـ Adams، طيب
+
+265
+00:32:18,060 --> 00:32:22,200
+من المحاضرة القادمة سنبدأ بعرض الـ Adams
+
+266
+00:32:22,200 --> 00:32:26,440
+اتباعاً، يعني كل محاضرة ممكن نحضر طالب، نعطيه عشر
+
+267
+00:32:26,440 --> 00:32:33,580
+دقائق، وطبقاً لكل محاضرة سيكون هناك واجب سيُحل
+
+268
+00:32:33,580 --> 00:32:37,820
+مسألتين من كل section يدوياً، ويُحل أيضاً على الـ
+
+269
+00:32:37,820 --> 00:32:40,200
+Adams، محاضرة قادمة نكمل، أعطيكم العافية
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Srbjg4oK43s_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Srbjg4oK43s_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..265f7167c81280b7e42af830bebf62e7fb8ddac3
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Srbjg4oK43s_postprocess.srt
@@ -0,0 +1,1076 @@
+1
+00:00:04,930 --> 00:00:07,070
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,070 --> 00:00:12,470
+وبركاته اليوم هنكمل المحاضرة التانية في مادة ال
+
+3
+00:00:12,470 --> 00:00:16,470
+dynamica بدنا نحكي عن kinematics of particles
+
+4
+00:00:16,470 --> 00:00:20,750
+عرفنا الميكانيكا عكينا الميكانيكا هي العلم بدرس
+
+5
+00:00:20,750 --> 00:00:26,340
+الأجسام في حالة السكون و الحركة تحت أثير القوةال
+
+6
+00:00:26,340 --> 00:00:29,780
+mechanics في mechanics of rigid bodies، mechanics
+
+7
+00:00:29,780 --> 00:00:32,500
+of fluids، mechanics of deformable bodies، احنا
+
+8
+00:00:32,500 --> 00:00:35,580
+مهتمين في mechanics of rigid bodies، mechanics of
+
+9
+00:00:35,580 --> 00:00:39,220
+rigid bodies اللي هي تنقسم لقسمين ال statics و ال
+
+10
+00:00:39,220 --> 00:00:39,680
+dynamics
+
+11
+00:00:42,960 --> 00:00:46,460
+تهتم أو توعنى بدراسة الأجسام في حالة السكون ال
+
+12
+00:00:46,460 --> 00:00:50,980
+dynamics توعنى بدراسة الأجسام في حالة الحركة ال
+
+13
+00:00:50,980 --> 00:00:54,900
+dynamics تنقسم لkinematics وkinetics الkinematics
+
+14
+00:00:54,900 --> 00:00:59,900
+تهتم بدراسة هندسة الحركة اللي هي الإزاحة الصراع
+
+15
+00:00:59,900 --> 00:01:06,880
+العجلة مع الزمن بدون تطرق للمؤثر الkinetics بربط
+
+16
+00:01:06,880 --> 00:01:13,750
+هندسة الحركة بالمؤثربعد إيك بدأنا ندرس الحركة
+
+17
+00:01:13,750 --> 00:01:18,410
+حكينا الحركة ممكن تكون على خط مستقيم أو على منحنة
+
+18
+00:01:18,410 --> 00:01:24,990
+بدأنا ندرس الحركة على خط مستقيم حكينا ممكن الحركة
+
+19
+00:01:24,990 --> 00:01:29,930
+على خط مستقيم تكون العجلة دالة في الزمن أو دالة في
+
+20
+00:01:29,930 --> 00:01:35,080
+السرعة أو دالة في الإزاحةوشوف نجيبنى المعادلات لكل
+
+21
+00:01:35,080 --> 00:01:39,420
+حالة بعدين حالينا مثال احداش اتنين اليوم هنحل مثال
+
+22
+00:01:39,420 --> 00:01:46,420
+جديد ونكمل ان شاء الله هنشوف المثال عندي
+
+23
+00:01:46,420 --> 00:01:50,740
+break mechanism is used to reduce gun recoil
+
+24
+00:01:50,740 --> 00:01:54,800
+consists of piston attached to a barrel moving in
+
+25
+00:01:54,800 --> 00:02:01,390
+a fixed cylinder filled with oilالان فى المدافع
+
+26
+00:02:01,390 --> 00:02:06,310
+لما نطلق المدفع بندفع للخلف فهو عشان يخليه يندفع
+
+27
+00:02:06,310 --> 00:02:12,710
+بعجلة تناقصية بيكون فى عندى piston موجود فى ال
+
+28
+00:02:12,710 --> 00:02:17,630
+cylinder ال piston فى ثقوب لو أخدت يعنى هيكون عندى
+
+29
+00:02:17,630 --> 00:02:24,270
+هاي cylinder فى
+
+30
+00:02:24,270 --> 00:02:24,890
+عندى piston
+
+31
+00:02:30,320 --> 00:02:37,620
+وفي ثقوب على المحيط لو اطلعت in the view هذا
+
+32
+00:02:37,620 --> 00:02:47,820
+ال shaft وفي عندي ثقوب فلما
+
+33
+00:02:47,820 --> 00:02:54,500
+يتدفع المدفع يتحرك ف just لما يتحرك يصير هذا في
+
+34
+00:02:54,500 --> 00:03:01,280
+عندي زيتاذا اتحرك بهذا الاتجاه يبدأ الذات يدخل
+
+35
+00:03:01,280 --> 00:03:08,280
+الفتحات هذه فبعمل تبطيق للحركة او بمتص ارتداد
+
+36
+00:03:08,280 --> 00:03:16,680
+العجلة في الحالة هذه معطه ال
+
+37
+00:03:16,680 --> 00:03:30,260
+a minus k في v اوجد الصراحةوالإزاحة كدالة مع الزمن
+
+38
+00:03:30,260 --> 00:03:38,020
+والسرعة كدالة مع الإزاحة طيب لأن ال A بيسوا minus
+
+39
+00:03:38,020 --> 00:03:50,240
+KV ايش بيسوا DV على DT يعني هايكون عندي قسمت
+
+40
+00:03:50,240 --> 00:03:59,040
+طرفين على V وضربت بDT بيصير عندي DVعلى V minus K
+
+41
+00:03:59,040 --> 00:04:07,040
+DT عملت تكامل من صفر ل T وهنا بدأت صار عبارة عن V
+
+42
+00:04:07,040 --> 00:04:13,720
+node ل V بيصير
+
+43
+00:04:13,720 --> 00:04:25,640
+عندها ال link ال V من V node ل V minus K في T
+
+44
+00:04:29,040 --> 00:04:37,720
+يعنى هتكون هاد ال in ال in ال V على V node سواء
+
+45
+00:04:37,720 --> 00:04:49,640
+minus K في T صح؟ يعنى هتكون ال V على V node سواء
+
+46
+00:04:49,640 --> 00:04:54,040
+exponential minus
+
+47
+00:04:54,040 --> 00:04:58,100
+KT يعنى
+
+48
+00:04:58,100 --> 00:04:58,380
+V
+
+49
+00:05:04,870 --> 00:05:11,770
+V-KT هذه علاقة السرعة مع الزمن لو بدأوا يدعوا
+
+50
+00:05:11,770 --> 00:05:16,510
+علاقة الإزاحة مع الزمن احنا بنعرف ان ال V ايش
+
+51
+00:05:16,510 --> 00:05:16,970
+بتساوي
+
+52
+00:05:24,840 --> 00:05:29,460
+هذا اللي بيساوي V بيساوي V node exponential minus
+
+53
+00:05:29,460 --> 00:05:38,360
+KT هنضل الطرفين في H في DT بيساوي DX بيساوي V node
+
+54
+00:05:38,360 --> 00:05:50,240
+exponential minus KT DT هنعمل integral من صفر ل T
+
+55
+00:05:50,240 --> 00:05:53,760
+وعندي هنا من X node
+
+56
+00:05:56,940 --> 00:06:08,440
+ل X ايش اشتقاق ال DX؟ يعني هتكون X من X node ل X
+
+57
+00:06:08,440 --> 00:06:17,340
+بتساوي اشتقاق ال exponential اللي هي هتكون minus V
+
+58
+00:06:17,340 --> 00:06:27,620
+node على K exponential من Zero ل T صح؟يعني انا
+
+59
+00:06:27,620 --> 00:06:34,620
+هكون ساوي X
+
+60
+00:06:34,620 --> 00:06:39,100
+minus X node بتساوي
+
+61
+00:06:39,100 --> 00:06:50,820
+minus V node على K فيه هتكون exponential minus KT
+
+62
+00:06:50,820 --> 00:06:54,500
+minus ايه قص صفر اللي هي إياش؟ واحد
+
+63
+00:06:57,960 --> 00:07:05,180
+يعني انا هتكون خلنا نسميها delta X بيساوي
+
+64
+00:07:05,180 --> 00:07:09,320
+V node على
+
+65
+00:07:09,320 --> 00:07:13,620
+K في
+
+66
+00:07:13,620 --> 00:07:20,480
+واحد minus exponential KT
+
+67
+00:07:20,480 --> 00:07:23,720
+طيب
+
+68
+00:07:23,720 --> 00:07:29,570
+مطلوب التالت ده نحسب ال V ده اللي مع ال Xاحنا
+
+69
+00:07:29,570 --> 00:07:36,690
+عارفين ال A إيش بيستوى ال
+
+70
+00:07:36,690 --> 00:07:51,670
+A بستوى minus K V بستوى إيش V DV على DX يعني هتروح
+
+71
+00:07:51,670 --> 00:08:00,750
+V مع V هيكون عندي DV سواء minus K DX صح؟بنعمل
+
+72
+00:08:00,750 --> 00:08:16,010
+integral من V node ل V وهي من X node ل X هتكون
+
+73
+00:08:16,010 --> 00:08:29,250
+اندي V من V node ل V V
+
+74
+00:08:29,250 --> 00:08:29,970
+رحت مع V
+
+75
+00:08:35,860 --> 00:08:45,840
+مظبوط؟ هتكون minus K X من X node ل X يعني هتكون
+
+76
+00:08:45,840 --> 00:08:55,280
+عند V minus V node سوى minus K في X minus X node
+
+77
+00:08:56,120 --> 00:09:04,720
+يعني V هتكون تساوي V node minus K في X minus X
+
+78
+00:09:04,720 --> 00:09:15,260
+node او ممكن احكي V node minus K في Delta X في
+
+79
+00:09:15,260 --> 00:09:15,920
+اي سؤال؟
+
+80
+00:09:20,920 --> 00:09:25,200
+دكتور انا بس بتسأل الحين البستون بحيات الارتداد
+
+81
+00:09:25,200 --> 00:09:29,760
+بتخرج أزاي من البستون صح؟ من الفتحات الثقوبة صحيح
+
+82
+00:09:29,760 --> 00:09:32,600
+اه الحين أزاي شو بدي طلع تاني من البستون؟ شو بدي
+
+83
+00:09:32,600 --> 00:09:36,440
+أخد أزاي تطلع من البستون؟ هو طلع في حجرة مغلقة، هي
+
+84
+00:09:36,440 --> 00:09:39,360
+حجرة حجرة، يعني الأزي بتتحرك من هنا إلى هنا و
+
+85
+00:09:39,360 --> 00:09:47,760
+العكسبيطلعش برا يعني ضمن هذا الإطار تبعه فهو اذا
+
+86
+00:09:47,760 --> 00:09:52,980
+.. اذا مش ب .. اذا مش بهذا الاتجاه هدخل الزيت هيك
+
+87
+00:09:52,980 --> 00:09:57,880
+اذا مش بالعكس بمش .. بدخل بالعكس فهو الزيت يتنقل
+
+88
+00:09:57,880 --> 00:10:06,280
+بين حجرته بين الحجرة هذه و الحجرة هذه طيب
+
+89
+00:10:06,280 --> 00:10:14,380
+هذه المثالتحلوها .. تحلو أي تنتين على ال Adams
+
+90
+00:10:14,380 --> 00:10:19,480
+يعني تحلوه يدوي و تحلو أي تنتين من هدول على ال
+
+91
+00:10:19,480 --> 00:10:25,040
+Adams من اختياره و تسليهم التنين ان شاء الله
+
+92
+00:10:44,030 --> 00:10:48,610
+نخد حالات خاصة من الحركة على خط مستقيم الحالة
+
+93
+00:10:48,610 --> 00:10:53,890
+الخاصة له ان الجسم بتحرك بسرعة منتظرة يعني ال
+
+94
+00:10:53,890 --> 00:10:57,850
+acceleration ايش ساوية؟ Zero اذا كانت ال
+
+95
+00:10:57,850 --> 00:11:04,050
+acceleration Zero معناته السرعة ايش ساوية؟ V ساوية
+
+96
+00:11:04,050 --> 00:11:14,290
+constant بساوية DXYDTيعني دي X هتكون سواء V دي T
+
+97
+00:11:14,290 --> 00:11:21,990
+الصراحة اللي حكينا شمالها ثابتة نعم من X node ل X
+
+98
+00:11:21,990 --> 00:11:31,710
+و من V node ل V مش شرط يبدأ بالصفر يعني هتكون دي X
+
+99
+00:11:31,710 --> 00:11:37,630
+minus X node فانا فهمت في خطأ يعني من ال zero اللي
+
+100
+00:11:37,630 --> 00:11:48,510
+تيمن Zero ل T هتكون V في T يعني X بالساوية X node
+
+101
+00:11:48,510 --> 00:11:54,810
+زائد V في T هذا الحالة الأولى الحالة التانية انه
+
+102
+00:11:54,810 --> 00:11:58,350
+بتحرك ب uniform acceleration يعني ال acceleration
+
+103
+00:11:58,350 --> 00:12:05,410
+ايش مالها constant يعني ال A بالساوية اللي هي DV
+
+104
+00:12:05,410 --> 00:12:11,110
+by DT و ال acceleration مالها constantيعني انا
+
+105
+00:12:11,110 --> 00:12:20,310
+هكون عندى DV او A DT يعني من T قرع من السفر ل T من
+
+106
+00:12:20,310 --> 00:12:31,220
+V نود ل V يعني انا هكون عندىV minus V0 سواء A VT
+
+107
+00:12:31,220 --> 00:12:43,720
+يعني V سواء V0 زائد AT ال V ايش يساوي DX by DT
+
+108
+00:12:43,720 --> 00:12:51,880
+سواء V0 زائد AT نضروا
+
+109
+00:12:51,880 --> 00:13:00,750
+الطرفين DT يعني هيكون ال DXبسوة V node زاد AT DT
+
+110
+00:13:00,750 --> 00:13:07,110
+هعمل integral من صفر ل T وهي من X node ل X يعني
+
+111
+00:13:07,110 --> 00:13:25,570
+هكون دي X minus X nodeV NOT T نص AT تربيع X NOT V
+
+112
+00:13:25,570 --> 00:13:32,570
+NOT T نص AT تربيع هذه المعادلة تم تطبيقها في حال
+
+113
+00:13:32,570 --> 00:13:36,290
+كانت ال acceleration منتظرة
+
+114
+00:13:39,670 --> 00:13:43,010
+أو الحالة التانية لما تكون ال expression منتظرة
+
+115
+00:13:43,010 --> 00:13:46,350
+عند
+
+116
+00:13:46,350 --> 00:13:57,070
+ال a بيسووة v dv by dx يعني نكون عند v dv بيسووة a
+
+117
+00:13:57,070 --> 00:14:06,390
+dx يعني تقرأ من x node ل x ويعني من v node ل v
+
+118
+00:14:06,390 --> 00:14:15,100
+يعني نكون عند v تربيهعلى اتنين من V node ل V سواء
+
+119
+00:14:15,100 --> 00:14:24,160
+A في X minus X node يعني هكون نص V تربيع minus نص
+
+120
+00:14:24,160 --> 00:14:30,480
+V node تربيع سواء A يعني اضرب الطرفين في اتنين
+
+121
+00:14:30,480 --> 00:14:35,860
+هسيب اندي V square سواء V node square زي اتنين A
+
+122
+00:14:35,860 --> 00:14:38,620
+في X minus X node
+
+123
+00:14:47,910 --> 00:15:01,270
+لانشوف الحركة النسبية زى
+
+124
+00:15:01,270 --> 00:15:07,170
+ما انتوا شايفين عندى هى بيحو ردثيات X وهى المركز
+
+125
+00:15:07,170 --> 00:15:14,550
+فى particle عنده نقطة A و particle عنده Bموقع ال
+
+126
+00:15:14,550 --> 00:15:19,270
+particle A بالنسبة لل origin XA موقع ال particle B
+
+127
+00:15:19,270 --> 00:15:25,330
+بالنسبة لل origin XB موقع B بالنسبة ل أيه بيسمي XB
+
+128
+00:15:25,330 --> 00:15:37,370
+-A واضح ان XB-A يستوى XB-XA يعني XB موقع B بالنسبة
+
+129
+00:15:37,370 --> 00:15:44,270
+لل originبس موقع ايه بالنسبة لل origin زي اكس بي
+
+130
+00:15:44,270 --> 00:15:52,460
+بالنسبة ليه؟ اذا بقى عالقهتعطينا سرعة بي VB سواء
+
+131
+00:15:52,460 --> 00:15:59,580
+VA زاد سرعة بي بالنسبة ل A بشتق كمان مرة سندي ال
+
+132
+00:15:59,580 --> 00:16:03,920
+acceleration لل بي سواء ال acceleration لل A زاد
+
+133
+00:16:03,920 --> 00:16:09,860
+ال acceleration لل بي بالنسبة ل A هذا في حالة
+
+134
+00:16:09,860 --> 00:16:16,410
+الحركة على الخطمستقيم في أنواع حركتان بيكونش هذا
+
+135
+00:16:16,410 --> 00:16:19,630
+الاشي المفهوم ينصح فيه اضافة فيها شغلتان لازم تنظف
+
+136
+00:16:19,630 --> 00:16:26,690
+نشوف مثال a
+
+137
+00:16:26,690 --> 00:16:33,550
+ball
+
+138
+00:16:33,550 --> 00:16:38,310
+thrown vertically from twelve meter levelin
+
+139
+00:16:38,310 --> 00:16:41,210
+elevator .. in elevator shaft with an initial
+
+140
+00:16:41,210 --> 00:16:44,070
+velocity of eighteen feet and eighteen meters per
+
+141
+00:16:44,070 --> 00:16:51,170
+second عندي بير تاع
+
+142
+00:16:51,170 --> 00:16:58,410
+مسعد تم
+
+143
+00:16:58,410 --> 00:17:05,190
+قذف كرة منرتفعة اتناشر متر هي الأرض
+
+144
+00:17:08,180 --> 00:17:12,880
+كانت عندى هذه عشر
+
+145
+00:17:12,880 --> 00:17:17,600
+متر رمناها
+
+146
+00:17:17,600 --> 00:17:26,080
+بسرعة طمنتاشر متر first second at
+
+147
+00:17:26,080 --> 00:17:27,620
+the same instant في نفس
+
+148
+00:17:32,120 --> 00:17:35,920
+at the same instant open platform elevator passes
+
+149
+00:17:35,920 --> 00:17:40,460
+five meter level moving upward at two meter per
+
+150
+00:17:40,460 --> 00:17:48,340
+second في نفس اللحظة كان في عندي مسعد platform
+
+151
+00:17:48,340 --> 00:17:53,880
+يعني عبارة عن مسعد بلاطة تطلع مافيش له يعني حجرة
+
+152
+00:17:53,880 --> 00:17:57,480
+فكان عندي مسعد في نفس اللحظة
+
+153
+00:18:02,240 --> 00:18:14,300
+ع الارتفاع خمس متر و متحرك بسرعة
+
+154
+00:18:14,300 --> 00:18:20,280
+منتظمة اللي هي قيمتها اتنين meter per second هذا
+
+155
+00:18:20,280 --> 00:18:21,340
+ايش هذا elevator
+
+156
+00:18:27,990 --> 00:18:31,250
+determine when and where the ball hits the
+
+157
+00:18:31,250 --> 00:18:40,910
+elevator أوجد أين و متى تصطدم الكرة بالمصعد طبعا
+
+158
+00:18:40,910 --> 00:18:47,410
+في عندي حاجتين في عندي اللي هو ال
+
+159
+00:18:47,410 --> 00:18:51,590
+ball و
+
+160
+00:18:51,590 --> 00:18:54,730
+عندي ال elevator
+
+161
+00:18:58,680 --> 00:19:05,120
+أولا ال ball ايش نوع الحركة بتاعته free fall ايش
+
+162
+00:19:05,120 --> 00:19:07,280
+يعني او او او او او او او او او او او او او او او
+
+163
+00:19:07,280 --> 00:19:07,720
+او او او او او او او او او او او او او او او او او
+
+164
+00:19:07,720 --> 00:19:07,800
+او او او او او او او او او او او او او او او او او
+
+165
+00:19:07,800 --> 00:19:07,860
+او او او او او او او او او او او او او او او او او
+
+166
+00:19:07,860 --> 00:19:24,240
+او او او او او او او او او او او او او او او او
+
+167
+00:19:24,240 --> 00:19:24,260
+او
+
+168
+00:19:29,100 --> 00:19:33,960
+اللي هي ال a بتاع ال ball شو يستوي سالب تسعة بون
+
+169
+00:19:33,960 --> 00:19:38,820
+تمانية سفر ستة متر per second فانا لازم احدد
+
+170
+00:19:38,820 --> 00:19:44,000
+المحور اللي ده هي عندى هذا الاتجاه الموجب Y وهي ال
+
+171
+00:19:44,000 --> 00:19:51,580
+origin معناته
+
+172
+00:19:51,580 --> 00:19:58,950
+هتكون عندىطبعا دي انا v ند الو ايش ساوي لل ball
+
+173
+00:19:58,950 --> 00:20:02,830
+سوى
+
+174
+00:20:02,830 --> 00:20:09,190
+تمنتاشر متر per second للأعلى الآن بيداوجد معادلات
+
+175
+00:20:09,190 --> 00:20:16,730
+الحركة الحاجة يحكي الان v v ball سوى v بالساوية v
+
+176
+00:20:16,730 --> 00:20:27,190
+ball node زاد a ball في ال time صح يعنيهنعوض V بنض
+
+177
+00:20:27,190 --> 00:20:33,970
+اللي هي تمانتاش ناقص تسعة بون تمانية سفر ستة تين
+
+178
+00:20:33,970 --> 00:20:44,630
+هذا لل بول ال Y بتاعتها ال Y لل بول هتكون واي لل
+
+179
+00:20:44,630 --> 00:20:56,190
+بول نضزائد V ball node T زائد نص A لل ball T تربيع
+
+180
+00:20:56,190 --> 00:21:01,990
+النيل الشلائش كانت على بعد اتناش متر صح هتكون عند
+
+181
+00:21:01,990 --> 00:21:02,650
+اتناش
+
+182
+00:21:05,140 --> 00:21:15,320
+زائد طمنتاش T ناقص نص تسعة بونت تمانية سفر ستة T
+
+183
+00:21:15,320 --> 00:21:24,100
+تربيع يعني هتكون اتناش زائد طمنتاشر T ناقص اربعة
+
+184
+00:21:24,100 --> 00:21:29,500
+بونت تسعة سفر تلاتة T تربيع
+
+185
+00:21:32,610 --> 00:21:36,810
+هك انا عرفت معدات حركة للبول بالنسبة لل elevator
+
+186
+00:21:36,810 --> 00:21:50,250
+ايش نوع الحركة التحركة for velocity يعني الصرعة
+
+187
+00:21:50,250 --> 00:22:00,630
+ايش معلها ال V بالساعة constant معناته ال Y بتاعة
+
+188
+00:22:00,630 --> 00:22:08,680
+ال elevatorso y ده ال elevator node زاد ال V تاعت
+
+189
+00:22:08,680 --> 00:22:16,820
+ال elevator اشهر ساوي في T صح حد
+
+190
+00:22:16,820 --> 00:22:24,950
+ساوي انيه شكل ال elevator على اتفاع خمس مترو كان
+
+191
+00:22:24,950 --> 00:22:29,530
+ماشي بسرعة اسمه انتظار اللي هي اتنين في تي يعني
+
+192
+00:22:29,530 --> 00:22:36,110
+while elevator حد كنت الساعة خمسة زاد اتنين تي
+
+193
+00:22:36,110 --> 00:22:46,790
+خدنا نحكي هذي معدلة واحد هذي اتنين هذي ايش تلاتة
+
+194
+00:22:46,790 --> 00:22:53,510
+هو بيحكي لي when and where the ball hits the
+
+195
+00:22:53,510 --> 00:22:53,850
+elevator
+
+196
+00:22:58,130 --> 00:23:06,690
+متى ال ball تصادم بالمصعد؟ ايش اللي يتساوى؟ اللي
+
+197
+00:23:06,690 --> 00:23:12,090
+هو ايش و اللي نساوي ايش؟ اول شي احنا physically
+
+198
+00:23:12,090 --> 00:23:19,650
+متى بتصادموا؟ نفس الارتفاع يعني ال ball it's
+
+199
+00:23:19,650 --> 00:23:24,950
+ال elevator لما
+
+200
+00:23:24,950 --> 00:23:31,680
+نكون عندي onewhile ball plus while elevator يعني
+
+201
+00:23:31,680 --> 00:23:39,800
+لما نستيري عند ايه اللي هي اتناش زائد تمانتاشر T
+
+202
+00:23:39,800 --> 00:23:47,320
+ناقص اربع عبون تسعة سفر تلاتة T تربيع تسوى خمسة
+
+203
+00:23:47,320 --> 00:23:55,900
+زائد اتنين T حضر الطرفين minus يعني
+
+204
+00:23:55,900 --> 00:23:56,860
+هذا حاسر plus
+
+205
+00:23:59,570 --> 00:24:09,130
+هذه minus وهذه minus وهذه minus وهذه minus ثم أجيب
+
+206
+00:24:09,130 --> 00:24:14,610
+ال terms العالمية على الجهة الشمالية أربعة point
+
+207
+00:24:14,610 --> 00:24:16,970
+تسعة سفر تلاتة
+
+208
+00:24:21,680 --> 00:24:31,580
+زاد اتنين T ناقص ستاشر T ناقص اتناش زاد خمسة ناقص
+
+209
+00:24:31,580 --> 00:24:40,060
+سبعة بالساوية السادسة وانا بحسب ال T بتساوي
+
+210
+00:24:43,350 --> 00:24:48,410
+ستاش زائد او ناقص نشوف ايش هطلع معانا جزء تربيه
+
+211
+00:24:48,410 --> 00:24:57,490
+ستاش تربيع ناقص زائد و ناقص يصير plus يصير plus
+
+212
+00:24:57,490 --> 00:25:03,610
+اربعة في اربع bond تسعة سفر التلاتة في السبعة
+
+213
+00:25:03,610 --> 00:25:05,410
+معناته ال minus ايش؟
+
+214
+00:25:07,810 --> 00:25:11,790
+مرفوض .. مرفوض لأن هذا ال term أكتر من ستاشر أكيد
+
+215
+00:25:11,790 --> 00:25:27,150
+.. صح؟ يعني هتكون على .. على اتنين و
+
+216
+00:25:27,150 --> 00:25:34,810
+منها بحسب ال تمن .. الزمن اللي عنده تتصل من الكورة
+
+217
+00:25:34,810 --> 00:25:45,750
+في المصعدحسبولي يا ها كم تطلع؟ تلات متر و ثاني
+
+218
+00:25:45,750 --> 00:25:54,330
+تلات ثاني و ستمية أربعة و خمسين ملي ست ده خمسة
+
+219
+00:25:54,330 --> 00:26:00,370
+أربعة صح؟ second يعني تلات تلات ستمية و أربعة و
+
+220
+00:26:00,370 --> 00:26:08,300
+خمسين ملي second طيب هذا when؟أى واحد اللى هى y
+
+221
+00:26:08,300 --> 00:26:17,440
+hat هتكون سوى خمسة زاد اتنين في تلاتة point ستة
+
+222
+00:26:17,440 --> 00:26:27,720
+خمسة اربعة اتناش
+
+223
+00:26:27,720 --> 00:26:34,140
+point تمانية
+
+224
+00:26:38,070 --> 00:26:43,350
+واحد تلاتة تلاتة
+
+225
+00:26:43,350 --> 00:26:52,030
+سفر تمانية كان
+
+226
+00:26:52,030 --> 00:26:56,430
+واضح بتكون طالع الكورة طلعت وصلت أكثر ارتفاع و
+
+227
+00:26:56,430 --> 00:27:03,270
+نزلت و هداك طالع ففعلت عند اتناش هذا المطول الأول
+
+228
+00:27:04,440 --> 00:27:10,360
+مطلوب التعني relative velocity of the ball with
+
+229
+00:27:10,360 --> 00:27:20,300
+respect to elevator at contact بشكل عام V ball
+
+230
+00:27:20,300 --> 00:27:24,080
+بالنسبة
+
+231
+00:27:24,080 --> 00:27:33,460
+للإليفاتر F سوى V ball minus V elevator صح؟ V ball
+
+232
+00:27:36,030 --> 00:27:41,730
+اللي هتكون تمانتاش ناقص
+
+233
+00:27:41,730 --> 00:27:49,670
+تسعة point تمانية سفر ستة تي
+
+234
+00:27:49,670 --> 00:27:54,630
+ناقص ال
+
+235
+00:27:54,630 --> 00:28:01,390
+V elevator اللي هي كم؟ اللي هي اتنين
+
+236
+00:28:03,400 --> 00:28:17,520
+يعني هتساوي ستاش ناقص تسعة وانت تمانية سفر ستة تين
+
+237
+00:28:17,520 --> 00:28:28,040
+طبعا هذه العلاقة بتكون صحية لحد ما يصطدم جسم البعض
+
+238
+00:28:28,040 --> 00:28:31,550
+لأن فترة الصدام هذا موضوع تانيمن هذه العلاقة
+
+239
+00:28:31,550 --> 00:28:37,670
+الصحيحة لحد ما يصطدم طيب
+
+240
+00:28:37,670 --> 00:28:46,910
+الان بنعود v ball بالنسبة لل elevator عند ال hit
+
+241
+00:28:46,910 --> 00:28:56,290
+هتكون ستاش ناقص تسعة point تمانية سفر ستة بال T ال
+
+242
+00:28:56,290 --> 00:29:12,010
+hitاللي هي تلاتة point ستة خمسة اربع اكيد هتكون
+
+243
+00:29:12,010 --> 00:29:21,030
+بالسالب لان طالع الواحد دي كناس ده هتكون عكسه سالب
+
+244
+00:29:29,740 --> 00:29:39,900
+meter per second او ممكن اجي احكي انه
+
+245
+00:29:39,900 --> 00:29:49,640
+احسم ال v ball لما اصطدمت بالاش بال
+
+246
+00:29:49,640 --> 00:29:54,240
+elevator بعوض هنا تمانتاش
+
+247
+00:29:56,070 --> 00:30:03,290
+نقص تسعة point تمانية سفر ستة في تلاتة point ستة
+
+248
+00:30:03,290 --> 00:30:12,010
+خمسة اربعة هتكون ايش الساوية هتكون هتكون ناقص
+
+249
+00:30:12,010 --> 00:30:16,730
+سبعتاش point تمانية تلاتة واحد
+
+250
+00:30:23,780 --> 00:30:31,420
+زي دي تعهد التاني لأنه
+
+251
+00:30:31,420 --> 00:30:38,440
+نزله عكس ال Y عكس ال positive Y معناته VB بال
+
+252
+00:30:38,440 --> 00:30:46,960
+natural elevator عند الارتطام هتكون ناقص 17.83
+
+253
+00:30:46,960 --> 00:30:48,660
+واحد ناقص اتنين
+
+254
+00:30:52,200 --> 00:30:58,200
+هتبين أسرع و الفتر طالع و هي نازل ماشيين عكس بعض
+
+255
+00:30:58,200 --> 00:31:04,760
+ماناته إذا حد في المصعد هيشوف الكورة أسرع هتكون
+
+256
+00:31:04,760 --> 00:31:17,920
+ناقص تسعتاش بون تمانية تلاتة واحد في
+
+257
+00:31:17,920 --> 00:31:18,620
+أي سؤال؟
+
+258
+00:31:32,220 --> 00:31:40,420
+طيب اليوم مفروض نبدأ في ال Adams جاهز أحمد؟ علاج
+
+259
+00:31:40,420 --> 00:31:49,580
+طبك جاهز؟ مافيش Adams على الجهاز نازل؟ طيب ماشي
+
+260
+00:31:50,540 --> 00:31:55,060
+الان هنكمل احنا عشان الكل يكون عارف احنا من ضمن
+
+261
+00:31:55,060 --> 00:32:00,020
+خطة المصداق ان ندخل برنامج Adams يعني المسائل هتحل
+
+262
+00:32:00,020 --> 00:32:04,960
+بالطريقة اليدوية و بعدين نعملها application على ال
+
+263
+00:32:04,960 --> 00:32:11,820
+Adams طبعا هيتم من خلال الطلاب كل طالب يعني هيحضر
+
+264
+00:32:11,820 --> 00:32:18,060
+مجموعة و كل section هكون مسألتين على ال Adams طيب
+
+265
+00:32:18,060 --> 00:32:22,200
+احنا من المحاضرة الجايةهنبدأ نعرض ال .. ال Adams
+
+266
+00:32:22,200 --> 00:32:26,440
+اتباعا يعني كل محاضرة ممكن نحرض طالب نعطيله عشر
+
+267
+00:32:26,440 --> 00:32:33,580
+دقائق و طبقا لكل محاضرة هيكون فيه واجب هيتحلوا
+
+268
+00:32:33,580 --> 00:32:37,820
+مسألتين من كل section يدوي و تحلوه برضه على ال
+
+269
+00:32:37,820 --> 00:32:40,200
+Adams محاضرة جاي نكمل اعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Srbjg4oK43s_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Srbjg4oK43s_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b0a5a22ac3115a65bd0207bd4a0efa5da4f08f38
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/Srbjg4oK43s_raw.srt
@@ -0,0 +1,1080 @@
+1
+00:00:04,930 --> 00:00:07,070
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,070 --> 00:00:12,470
+وبركاته اليوم هنكمل المحاضرة التانية في مادة ال
+
+3
+00:00:12,470 --> 00:00:16,470
+dynamica بدنا نحكي عن kinematics of particles
+
+4
+00:00:16,470 --> 00:00:20,750
+عرفنا الميكانيكا عكينا الميكانيكا هي العلم بدرس
+
+5
+00:00:20,750 --> 00:00:26,340
+الأجسام في حالة السكون و الحركة تحت أثير القوةال
+
+6
+00:00:26,340 --> 00:00:29,780
+mechanics في mechanics of rigid bodies، mechanics
+
+7
+00:00:29,780 --> 00:00:32,500
+of fluids، mechanics of deformable bodies، احنا
+
+8
+00:00:32,500 --> 00:00:35,580
+مهتمين في mechanics of rigid bodies، mechanics of
+
+9
+00:00:35,580 --> 00:00:39,220
+rigid bodies اللي هي تنقسم لقسمين ال statics و ال
+
+10
+00:00:39,220 --> 00:00:39,680
+dynamics
+
+11
+00:00:42,960 --> 00:00:46,460
+تهتم أو توعنى بدراسة الأجسام في حالة السكون ال
+
+12
+00:00:46,460 --> 00:00:50,980
+dynamics توعنى بدراسة الأجسام في حالة الحركة ال
+
+13
+00:00:50,980 --> 00:00:54,900
+dynamics تنقسم لkinematics وkinetics الkinematics
+
+14
+00:00:54,900 --> 00:00:59,900
+تهتم بدراسة هندسة الحركة اللي هي الإزاحة الصراع
+
+15
+00:00:59,900 --> 00:01:06,880
+العجلة مع الزمن بدون تطرق للمؤثر الkinetics بربط
+
+16
+00:01:06,880 --> 00:01:13,750
+هندسة الحركة بالمؤثربعد إيك بدأنا ندرس الحركة
+
+17
+00:01:13,750 --> 00:01:18,410
+حكينا الحركة ممكن تكون على خط مستقيم أو على منحنة
+
+18
+00:01:18,410 --> 00:01:24,990
+بدأنا ندرس الحركة على خط مستقيم حكينا ممكن الحركة
+
+19
+00:01:24,990 --> 00:01:29,930
+على خط مستقيم تكون العجلة دالة في الزمن أو دالة في
+
+20
+00:01:29,930 --> 00:01:35,080
+السرعة أو دالة في الإزاحةوشوف نجيبنى المعادلات لكل
+
+21
+00:01:35,080 --> 00:01:39,420
+حالة بعدين حالينا مثال احداش اتنين اليوم هنحل مثال
+
+22
+00:01:39,420 --> 00:01:46,420
+جديد ونكمل ان شاء الله هنشوف المثال عندي
+
+23
+00:01:46,420 --> 00:01:50,740
+break mechanism is used to reduce gun recoil
+
+24
+00:01:50,740 --> 00:01:54,800
+consists of piston attached to a barrel moving in
+
+25
+00:01:54,800 --> 00:02:01,390
+a fixed cylinder filled with oilالان فى المدافع
+
+26
+00:02:01,390 --> 00:02:06,310
+لما نطلق المدفع بندفع للخلف فهو عشان يخليه يندفع
+
+27
+00:02:06,310 --> 00:02:12,710
+بعجلة تناقصية بيكون فى عندى piston موجود فى ال
+
+28
+00:02:12,710 --> 00:02:17,630
+cylinder ال piston فى ثقوب لو أخدت يعنى هيكون عندى
+
+29
+00:02:17,630 --> 00:02:24,270
+هاي cylinder فى
+
+30
+00:02:24,270 --> 00:02:24,890
+عندى piston
+
+31
+00:02:30,320 --> 00:02:37,620
+وفي ثقوب على المحيط لو اطلعت in the view هذا
+
+32
+00:02:37,620 --> 00:02:47,820
+ال shaft وفي عندي ثقوب فلما
+
+33
+00:02:47,820 --> 00:02:54,500
+يتدفع المدفع يتحرك ف just لما يتحرك يصير هذا في
+
+34
+00:02:54,500 --> 00:03:01,280
+عندي زيتاذا اتحرك بهذا الاتجاه يبدأ الذات يدخل
+
+35
+00:03:01,280 --> 00:03:08,280
+الفتحات هذه فبعمل تبطيق للحركة او بمتص ارتداد
+
+36
+00:03:08,280 --> 00:03:16,680
+العجلة في الحالة هذه معطه ال
+
+37
+00:03:16,680 --> 00:03:30,260
+a minus k في v اوجد الصراحةوالإزاحة كدالة مع الزمن
+
+38
+00:03:30,260 --> 00:03:38,020
+والسرعة كدالة مع الإزاحة طيب لأن ال A بيسوا minus
+
+39
+00:03:38,020 --> 00:03:50,240
+KV ايش بيسوا DV على DT يعني هايكون عندي قسمت
+
+40
+00:03:50,240 --> 00:03:59,040
+طرفين على V وضربت بDT بيصير عندي DVعلى V minus K
+
+41
+00:03:59,040 --> 00:04:07,040
+DT عملت تكامل من صفر ل T وهنا بدأت صار عبارة عن V
+
+42
+00:04:07,040 --> 00:04:13,720
+node ل V بيصير
+
+43
+00:04:13,720 --> 00:04:25,640
+عندها ال link ال V من V node ل V minus K في T
+
+44
+00:04:29,040 --> 00:04:37,720
+يعنى هتكون هاد ال in ال in ال V على V node سواء
+
+45
+00:04:37,720 --> 00:04:49,640
+minus K في T صح؟ يعنى هتكون ال V على V node سواء
+
+46
+00:04:49,640 --> 00:04:54,040
+exponential minus
+
+47
+00:04:54,040 --> 00:04:58,100
+KT يعنى
+
+48
+00:04:58,100 --> 00:04:58,380
+V
+
+49
+00:05:04,870 --> 00:05:11,770
+V-KT هذه علاقة السرعة مع الزمن لو بدأوا يدعوا
+
+50
+00:05:11,770 --> 00:05:16,510
+علاقة الإزاحة مع الزمن احنا بنعرف ان ال V ايش
+
+51
+00:05:16,510 --> 00:05:16,970
+بتساوي
+
+52
+00:05:24,840 --> 00:05:29,460
+هذا اللي بيساوي V بيساوي V node exponential minus
+
+53
+00:05:29,460 --> 00:05:38,360
+KT هنضل الطرفين في H في DT بيساوي DX بيساوي V node
+
+54
+00:05:38,360 --> 00:05:50,240
+exponential minus KT DT هنعمل integral من صفر ل T
+
+55
+00:05:50,240 --> 00:05:53,760
+وعندي هنا من X node
+
+56
+00:05:56,940 --> 00:06:08,440
+ل X ايش اشتقاق ال DX؟ يعني هتكون X من X node ل X
+
+57
+00:06:08,440 --> 00:06:17,340
+بتساوي اشتقاق ال exponential اللي هي هتكون minus V
+
+58
+00:06:17,340 --> 00:06:27,620
+node على K exponential من Zero ل T صح؟يعني انا
+
+59
+00:06:27,620 --> 00:06:34,620
+هكون ساوي X
+
+60
+00:06:34,620 --> 00:06:39,100
+minus X node بتساوي
+
+61
+00:06:39,100 --> 00:06:50,820
+minus V node على K فيه هتكون exponential minus KT
+
+62
+00:06:50,820 --> 00:06:54,500
+minus ايه قص صفر اللي هي إياش؟ واحد
+
+63
+00:06:57,960 --> 00:07:05,180
+يعني انا هتكون خلنا نسميها delta X بيساوي
+
+64
+00:07:05,180 --> 00:07:09,320
+V node على
+
+65
+00:07:09,320 --> 00:07:13,620
+K في
+
+66
+00:07:13,620 --> 00:07:20,480
+واحد minus exponential KT
+
+67
+00:07:20,480 --> 00:07:23,720
+طيب
+
+68
+00:07:23,720 --> 00:07:29,570
+مطلوب التالت ده نحسب ال V ده اللي مع ال Xاحنا
+
+69
+00:07:29,570 --> 00:07:36,690
+عارفين ال A إيش بيستوى ال
+
+70
+00:07:36,690 --> 00:07:51,670
+A بستوى minus K V بستوى إيش V DV على DX يعني هتروح
+
+71
+00:07:51,670 --> 00:08:00,750
+V مع V هيكون عندي DV سواء minus K DX صح؟بنعمل
+
+72
+00:08:00,750 --> 00:08:16,010
+integral من V node ل V وهي من X node ل X هتكون
+
+73
+00:08:16,010 --> 00:08:29,250
+اندي V من V node ل V V
+
+74
+00:08:29,250 --> 00:08:29,970
+رحت مع V
+
+75
+00:08:35,860 --> 00:08:45,840
+مظبوط؟ هتكون minus K X من X node ل X يعني هتكون
+
+76
+00:08:45,840 --> 00:08:55,280
+عند V minus V node سوى minus K في X minus X node
+
+77
+00:08:56,120 --> 00:09:04,720
+يعني V هتكون تساوي V node minus K في X minus X
+
+78
+00:09:04,720 --> 00:09:15,260
+node او ممكن احكي V node minus K في Delta X في
+
+79
+00:09:15,260 --> 00:09:15,920
+اي سؤال؟
+
+80
+00:09:20,920 --> 00:09:25,200
+دكتور انا بس بتسأل الحين البستون بحيات الارتداد
+
+81
+00:09:25,200 --> 00:09:29,760
+بتخرج أزاي من البستون صح؟ من الفتحات الثقوبة صحيح
+
+82
+00:09:29,760 --> 00:09:32,600
+اه الحين أزاي شو بدي طلع تاني من البستون؟ شو بدي
+
+83
+00:09:32,600 --> 00:09:36,440
+أخد أزاي تطلع من البستون؟ هو طلع في حجرة مغلقة، هي
+
+84
+00:09:36,440 --> 00:09:39,360
+حجرة حجرة، يعني الأزي بتتحرك من هنا إلى هنا و
+
+85
+00:09:39,360 --> 00:09:47,760
+العكسبيطلعش برا يعني ضمن هذا الإطار تبعه فهو اذا
+
+86
+00:09:47,760 --> 00:09:52,980
+.. اذا مش ب .. اذا مش بهذا الاتجاه هدخل الزيت هيك
+
+87
+00:09:52,980 --> 00:09:57,880
+اذا مش بالعكس بمش .. بدخل بالعكس فهو الزيت يتنقل
+
+88
+00:09:57,880 --> 00:10:06,280
+بين حجرته بين الحجرة هذه و الحجرة هذه طيب
+
+89
+00:10:06,280 --> 00:10:14,380
+هذه المثالتحلوها .. تحلو أي تنتين على ال Adams
+
+90
+00:10:14,380 --> 00:10:19,480
+يعني تحلوه يدوي و تحلو أي تنتين من هدول على ال
+
+91
+00:10:19,480 --> 00:10:25,040
+Adams من اختياره و تسليهم التنين ان شاء الله
+
+92
+00:10:44,030 --> 00:10:48,610
+نخد حالات خاصة من الحركة على خط مستقيم الحالة
+
+93
+00:10:48,610 --> 00:10:53,890
+الخاصة له ان الجسم بتحرك بسرعة منتظرة يعني ال
+
+94
+00:10:53,890 --> 00:10:57,850
+acceleration ايش ساوية؟ Zero اذا كانت ال
+
+95
+00:10:57,850 --> 00:11:04,050
+acceleration Zero معناته السرعة ايش ساوية؟ V ساوية
+
+96
+00:11:04,050 --> 00:11:14,290
+constant بساوية DXYDTيعني دي X هتكون سواء V دي T
+
+97
+00:11:14,290 --> 00:11:21,990
+الصراحة اللي حكينا شمالها ثابتة نعم من X node ل X
+
+98
+00:11:21,990 --> 00:11:31,710
+و من V node ل V مش شرط يبدأ بالصفر يعني هتكون دي X
+
+99
+00:11:31,710 --> 00:11:37,630
+minus X node فانا فهمت في خطأ يعني من ال zero اللي
+
+100
+00:11:37,630 --> 00:11:48,510
+تيمن Zero ل T هتكون V في T يعني X بالساوية X node
+
+101
+00:11:48,510 --> 00:11:54,810
+زائد V في T هذا الحالة الأولى الحالة التانية انه
+
+102
+00:11:54,810 --> 00:11:58,350
+بتحرك ب uniform acceleration يعني ال acceleration
+
+103
+00:11:58,350 --> 00:12:05,410
+ايش مالها constant يعني ال A بالساوية اللي هي DV
+
+104
+00:12:05,410 --> 00:12:11,110
+by DT و ال acceleration مالها constantيعني انا
+
+105
+00:12:11,110 --> 00:12:20,310
+هكون عندى DV او A DT يعني من T قرع من السفر ل T من
+
+106
+00:12:20,310 --> 00:12:31,220
+V نود ل V يعني انا هكون عندىV minus V0 سواء A VT
+
+107
+00:12:31,220 --> 00:12:43,720
+يعني V سواء V0 زائد AT ال V ايش يساوي DX by DT
+
+108
+00:12:43,720 --> 00:12:51,880
+سواء V0 زائد AT نضروا
+
+109
+00:12:51,880 --> 00:13:00,750
+الطرفين DT يعني هيكون ال DXبسوة V node زاد AT DT
+
+110
+00:13:00,750 --> 00:13:07,110
+هعمل integral من صفر ل T وهي من X node ل X يعني
+
+111
+00:13:07,110 --> 00:13:25,570
+هكون دي X minus X nodeV NOT T نص AT تربيع X NOT V
+
+112
+00:13:25,570 --> 00:13:32,570
+NOT T نص AT تربيع هذه المعادلة تم تطبيقها في حال
+
+113
+00:13:32,570 --> 00:13:36,290
+كانت ال acceleration منتظرة
+
+114
+00:13:39,670 --> 00:13:43,010
+أو الحالة التانية لما تكون ال expression منتظرة
+
+115
+00:13:43,010 --> 00:13:46,350
+عند
+
+116
+00:13:46,350 --> 00:13:57,070
+ال a بيسووة v dv by dx يعني نكون عند v dv بيسووة a
+
+117
+00:13:57,070 --> 00:14:06,390
+dx يعني تقرأ من x node ل x ويعني من v node ل v
+
+118
+00:14:06,390 --> 00:14:15,100
+يعني نكون عند v تربيهعلى اتنين من V node ل V سواء
+
+119
+00:14:15,100 --> 00:14:24,160
+A في X minus X node يعني هكون نص V تربيع minus نص
+
+120
+00:14:24,160 --> 00:14:30,480
+V node تربيع سواء A يعني اضرب الطرفين في اتنين
+
+121
+00:14:30,480 --> 00:14:35,860
+هسيب اندي V square سواء V node square زي اتنين A
+
+122
+00:14:35,860 --> 00:14:38,620
+في X minus X node
+
+123
+00:14:47,910 --> 00:15:01,270
+لانشوف الحركة النسبية زى
+
+124
+00:15:01,270 --> 00:15:07,170
+ما انتوا شايفين عندى هى بيحو ردثيات X وهى المركز
+
+125
+00:15:07,170 --> 00:15:14,550
+فى particle عنده نقطة A و particle عنده Bموقع ال
+
+126
+00:15:14,550 --> 00:15:19,270
+particle A بالنسبة لل origin XA موقع ال particle B
+
+127
+00:15:19,270 --> 00:15:25,330
+بالنسبة لل origin XB موقع B بالنسبة ل أيه بيسمي XB
+
+128
+00:15:25,330 --> 00:15:37,370
+-A واضح ان XB-A يستوى XB-XA يعني XB موقع B بالنسبة
+
+129
+00:15:37,370 --> 00:15:44,270
+لل originبس موقع ايه بالنسبة لل origin زي اكس بي
+
+130
+00:15:44,270 --> 00:15:52,460
+بالنسبة ليه؟ اذا بقى عالقهتعطينا سرعة بي VB سواء
+
+131
+00:15:52,460 --> 00:15:59,580
+VA زاد سرعة بي بالنسبة ل A بشتق كمان مرة سندي ال
+
+132
+00:15:59,580 --> 00:16:03,920
+acceleration لل بي سواء ال acceleration لل A زاد
+
+133
+00:16:03,920 --> 00:16:09,860
+ال acceleration لل بي بالنسبة ل A هذا في حالة
+
+134
+00:16:09,860 --> 00:16:16,410
+الحركة على الخطمستقيم في أنواع حركتان بيكونش هذا
+
+135
+00:16:16,410 --> 00:16:19,630
+الاشي المفهوم ينصح فيه اضافة فيها شغلتان لازم تنظف
+
+136
+00:16:19,630 --> 00:16:26,690
+نشوف مثال a
+
+137
+00:16:26,690 --> 00:16:33,550
+ball
+
+138
+00:16:33,550 --> 00:16:38,310
+thrown vertically from twelve meter levelin
+
+139
+00:16:38,310 --> 00:16:41,210
+elevator .. in elevator shaft with an initial
+
+140
+00:16:41,210 --> 00:16:44,070
+velocity of eighteen feet and eighteen meters per
+
+141
+00:16:44,070 --> 00:16:51,170
+second عندي بير تاع
+
+142
+00:16:51,170 --> 00:16:58,410
+مسعد تم
+
+143
+00:16:58,410 --> 00:17:05,190
+قذف كرة منرتفعة اتناشر متر هي الأرض
+
+144
+00:17:08,180 --> 00:17:12,880
+كانت عندى هذه عشر
+
+145
+00:17:12,880 --> 00:17:17,600
+متر رمناها
+
+146
+00:17:17,600 --> 00:17:26,080
+بسرعة طمنتاشر متر first second at
+
+147
+00:17:26,080 --> 00:17:27,620
+the same instant في نفس
+
+148
+00:17:32,120 --> 00:17:35,920
+at the same instant open platform elevator passes
+
+149
+00:17:35,920 --> 00:17:40,460
+five meter level moving upward at two meter per
+
+150
+00:17:40,460 --> 00:17:48,340
+second في نفس اللحظة كان في عندي مسعد platform
+
+151
+00:17:48,340 --> 00:17:53,880
+يعني عبارة عن مسعد بلاطة تطلع مافيش له يعني حجرة
+
+152
+00:17:53,880 --> 00:17:57,480
+فكان عندي مسعد في نفس اللحظة
+
+153
+00:18:02,240 --> 00:18:14,300
+ع الارتفاع خمس متر و متحرك بسرعة
+
+154
+00:18:14,300 --> 00:18:20,280
+منتظمة اللي هي قيمتها اتنين meter per second هذا
+
+155
+00:18:20,280 --> 00:18:21,340
+ايش هذا elevator
+
+156
+00:18:27,990 --> 00:18:31,250
+determine when and where the ball hits the
+
+157
+00:18:31,250 --> 00:18:40,910
+elevator أوجد أين و متى تصطدم الكرة بالمصعد طبعا
+
+158
+00:18:40,910 --> 00:18:47,410
+في عندي حاجتين في عندي اللي هو ال
+
+159
+00:18:47,410 --> 00:18:51,590
+ball و
+
+160
+00:18:51,590 --> 00:18:54,730
+عندي ال elevator
+
+161
+00:18:58,680 --> 00:19:05,120
+أولا ال ball ايش نوع الحركة بتاعته free fall ايش
+
+162
+00:19:05,120 --> 00:19:07,280
+يعني او او او او او او او او او او او او او او او
+
+163
+00:19:07,280 --> 00:19:07,720
+او او او او او او او او او او او او او او او او او
+
+164
+00:19:07,720 --> 00:19:07,800
+او او او او او او او او او او او او او او او او او
+
+165
+00:19:07,800 --> 00:19:07,800
+او او او او او او او او او او او او او او او او او
+
+166
+00:19:07,800 --> 00:19:07,860
+او او او او او او او او او او او او او او او او او
+
+167
+00:19:07,860 --> 00:19:24,240
+او او او او او او او او او او او او او او او او
+
+168
+00:19:24,240 --> 00:19:24,260
+او
+
+169
+00:19:29,100 --> 00:19:33,960
+اللي هي ال a بتاع ال ball شو يستوي سالب تسعة بون
+
+170
+00:19:33,960 --> 00:19:38,820
+تمانية سفر ستة متر per second فانا لازم احدد
+
+171
+00:19:38,820 --> 00:19:44,000
+المحور اللي ده هي عندى هذا الاتجاه الموجب Y وهي ال
+
+172
+00:19:44,000 --> 00:19:51,580
+origin معناته
+
+173
+00:19:51,580 --> 00:19:58,950
+هتكون عندىطبعا دي انا v ند الو ايش ساوي لل ball
+
+174
+00:19:58,950 --> 00:20:02,830
+سوى
+
+175
+00:20:02,830 --> 00:20:09,190
+تمنتاشر متر per second للأعلى الآن بيداوجد معادلات
+
+176
+00:20:09,190 --> 00:20:16,730
+الحركة الحاجة يحكي الان v v ball سوى v بالساوية v
+
+177
+00:20:16,730 --> 00:20:27,190
+ball node زاد a ball في ال time صح يعنيهنعوض V بنض
+
+178
+00:20:27,190 --> 00:20:33,970
+اللي هي تمانتاش ناقص تسعة بون تمانية سفر ستة تين
+
+179
+00:20:33,970 --> 00:20:44,630
+هذا لل بول ال Y بتاعتها ال Y لل بول هتكون واي لل
+
+180
+00:20:44,630 --> 00:20:56,190
+بول نضزائد V ball node T زائد نص A لل ball T تربيع
+
+181
+00:20:56,190 --> 00:21:01,990
+النيل الشلائش كانت على بعد اتناش متر صح هتكون عند
+
+182
+00:21:01,990 --> 00:21:02,650
+اتناش
+
+183
+00:21:05,140 --> 00:21:15,320
+زائد طمنتاش T ناقص نص تسعة بونت تمانية سفر ستة T
+
+184
+00:21:15,320 --> 00:21:24,100
+تربيع يعني هتكون اتناش زائد طمنتاشر T ناقص اربعة
+
+185
+00:21:24,100 --> 00:21:29,500
+بونت تسعة سفر تلاتة T تربيع
+
+186
+00:21:32,610 --> 00:21:36,810
+هك انا عرفت معدات حركة للبول بالنسبة لل elevator
+
+187
+00:21:36,810 --> 00:21:50,250
+ايش نوع الحركة التحركة for velocity يعني الصرعة
+
+188
+00:21:50,250 --> 00:22:00,630
+ايش معلها ال V بالساعة constant معناته ال Y بتاعة
+
+189
+00:22:00,630 --> 00:22:08,680
+ال elevatorso y ده ال elevator node زاد ال V تاعت
+
+190
+00:22:08,680 --> 00:22:16,820
+ال elevator اشهر ساوي في T صح حد
+
+191
+00:22:16,820 --> 00:22:24,950
+ساوي انيه شكل ال elevator على اتفاع خمس مترو كان
+
+192
+00:22:24,950 --> 00:22:29,530
+ماشي بسرعة اسمه انتظار اللي هي اتنين في تي يعني
+
+193
+00:22:29,530 --> 00:22:36,110
+while elevator حد كنت الساعة خمسة زاد اتنين تي
+
+194
+00:22:36,110 --> 00:22:46,790
+خدنا نحكي هذي معدلة واحد هذي اتنين هذي ايش تلاتة
+
+195
+00:22:46,790 --> 00:22:53,510
+هو بيحكي لي when and where the ball hits the
+
+196
+00:22:53,510 --> 00:22:53,850
+elevator
+
+197
+00:22:58,130 --> 00:23:06,690
+متى ال ball تصادم بالمصعد؟ ايش اللي يتساوى؟ اللي
+
+198
+00:23:06,690 --> 00:23:12,090
+هو ايش و اللي نساوي ايش؟ اول شي احنا physically
+
+199
+00:23:12,090 --> 00:23:19,650
+متى بتصادموا؟ نفس الارتفاع يعني ال ball it's
+
+200
+00:23:19,650 --> 00:23:24,950
+ال elevator لما
+
+201
+00:23:24,950 --> 00:23:31,680
+نكون عندي onewhile ball plus while elevator يعني
+
+202
+00:23:31,680 --> 00:23:39,800
+لما نستيري عند ايه اللي هي اتناش زائد تمانتاشر T
+
+203
+00:23:39,800 --> 00:23:47,320
+ناقص اربع عبون تسعة سفر تلاتة T تربيع تسوى خمسة
+
+204
+00:23:47,320 --> 00:23:55,900
+زائد اتنين T حضر الطرفين minus يعني
+
+205
+00:23:55,900 --> 00:23:56,860
+هذا حاسر plus
+
+206
+00:23:59,570 --> 00:24:09,130
+هذه minus وهذه minus وهذه minus وهذه minus ثم أجيب
+
+207
+00:24:09,130 --> 00:24:14,610
+ال terms العالمية على الجهة الشمالية أربعة point
+
+208
+00:24:14,610 --> 00:24:16,970
+تسعة سفر تلاتة
+
+209
+00:24:21,680 --> 00:24:31,580
+زاد اتنين T ناقص ستاشر T ناقص اتناش زاد خمسة ناقص
+
+210
+00:24:31,580 --> 00:24:40,060
+سبعة بالساوية السادسة وانا بحسب ال T بتساوي
+
+211
+00:24:43,350 --> 00:24:48,410
+ستاش زائد او ناقص نشوف ايش هطلع معانا جزء تربيه
+
+212
+00:24:48,410 --> 00:24:57,490
+ستاش تربيع ناقص زائد و ناقص يصير plus يصير plus
+
+213
+00:24:57,490 --> 00:25:03,610
+اربعة في اربع bond تسعة سفر التلاتة في السبعة
+
+214
+00:25:03,610 --> 00:25:05,410
+معناته ال minus ايش؟
+
+215
+00:25:07,810 --> 00:25:11,790
+مرفوض .. مرفوض لأن هذا ال term أكتر من ستاشر أكيد
+
+216
+00:25:11,790 --> 00:25:27,150
+.. صح؟ يعني هتكون على .. على اتنين و
+
+217
+00:25:27,150 --> 00:25:34,810
+منها بحسب ال تمن .. الزمن اللي عنده تتصل من الكورة
+
+218
+00:25:34,810 --> 00:25:45,750
+في المصعدحسبولي يا ها كم تطلع؟ تلات متر و ثاني
+
+219
+00:25:45,750 --> 00:25:54,330
+تلات ثاني و ستمية أربعة و خمسين ملي ست ده خمسة
+
+220
+00:25:54,330 --> 00:26:00,370
+أربعة صح؟ second يعني تلات تلات ستمية و أربعة و
+
+221
+00:26:00,370 --> 00:26:08,300
+خمسين ملي second طيب هذا when؟أى واحد اللى هى y
+
+222
+00:26:08,300 --> 00:26:17,440
+hat هتكون سوى خمسة زاد اتنين في تلاتة point ستة
+
+223
+00:26:17,440 --> 00:26:27,720
+خمسة اربعة اتناش
+
+224
+00:26:27,720 --> 00:26:34,140
+point تمانية
+
+225
+00:26:38,070 --> 00:26:43,350
+واحد تلاتة تلاتة
+
+226
+00:26:43,350 --> 00:26:52,030
+سفر تمانية كان
+
+227
+00:26:52,030 --> 00:26:56,430
+واضح بتكون طالع الكورة طلعت وصلت أكثر ارتفاع و
+
+228
+00:26:56,430 --> 00:27:03,270
+نزلت و هداك طالع ففعلت عند اتناش هذا المطول الأول
+
+229
+00:27:04,440 --> 00:27:10,360
+مطلوب التعني relative velocity of the ball with
+
+230
+00:27:10,360 --> 00:27:20,300
+respect to elevator at contact بشكل عام V ball
+
+231
+00:27:20,300 --> 00:27:24,080
+بالنسبة
+
+232
+00:27:24,080 --> 00:27:33,460
+للإليفاتر F سوى V ball minus V elevator صح؟ V ball
+
+233
+00:27:36,030 --> 00:27:41,730
+اللي هتكون تمانتاش ناقص
+
+234
+00:27:41,730 --> 00:27:49,670
+تسعة point تمانية سفر ستة تي
+
+235
+00:27:49,670 --> 00:27:54,630
+ناقص ال
+
+236
+00:27:54,630 --> 00:28:01,390
+V elevator اللي هي كم؟ اللي هي اتنين
+
+237
+00:28:03,400 --> 00:28:17,520
+يعني هتساوي ستاش ناقص تسعة وانت تمانية سفر ستة تين
+
+238
+00:28:17,520 --> 00:28:28,040
+طبعا هذه العلاقة بتكون صحية لحد ما يصطدم جسم البعض
+
+239
+00:28:28,040 --> 00:28:31,550
+لأن فترة الصدام هذا موضوع تانيمن هذه العلاقة
+
+240
+00:28:31,550 --> 00:28:37,670
+الصحيحة لحد ما يصطدم طيب
+
+241
+00:28:37,670 --> 00:28:46,910
+الان بنعود v ball بالنسبة لل elevator عند ال hit
+
+242
+00:28:46,910 --> 00:28:56,290
+هتكون ستاش ناقص تسعة point تمانية سفر ستة بال T ال
+
+243
+00:28:56,290 --> 00:29:12,010
+hitاللي هي تلاتة point ستة خمسة اربع اكيد هتكون
+
+244
+00:29:12,010 --> 00:29:21,030
+بالسالب لان طالع الواحد دي كناس ده هتكون عكسه سالب
+
+245
+00:29:29,740 --> 00:29:39,900
+meter per second او ممكن اجي احكي انه
+
+246
+00:29:39,900 --> 00:29:49,640
+احسم ال v ball لما اصطدمت بالاش بال
+
+247
+00:29:49,640 --> 00:29:54,240
+elevator بعوض هنا تمانتاش
+
+248
+00:29:56,070 --> 00:30:03,290
+نقص تسعة point تمانية سفر ستة في تلاتة point ستة
+
+249
+00:30:03,290 --> 00:30:12,010
+خمسة اربعة هتكون ايش الساوية هتكون هتكون ناقص
+
+250
+00:30:12,010 --> 00:30:16,730
+سبعتاش point تمانية تلاتة واحد
+
+251
+00:30:23,780 --> 00:30:31,420
+زي دي تعهد التاني لأنه
+
+252
+00:30:31,420 --> 00:30:38,440
+نزله عكس ال Y عكس ال positive Y معناته VB بال
+
+253
+00:30:38,440 --> 00:30:46,960
+natural elevator عند الارتطام هتكون ناقص 17.83
+
+254
+00:30:46,960 --> 00:30:48,660
+واحد ناقص اتنين
+
+255
+00:30:52,200 --> 00:30:58,200
+هتبين أسرع و الفتر طالع و هي نازل ماشيين عكس بعض
+
+256
+00:30:58,200 --> 00:31:04,760
+ماناته إذا حد في المصعد هيشوف الكورة أسرع هتكون
+
+257
+00:31:04,760 --> 00:31:17,920
+ناقص تسعتاش بون تمانية تلاتة واحد في
+
+258
+00:31:17,920 --> 00:31:18,620
+أي سؤال؟
+
+259
+00:31:32,220 --> 00:31:40,420
+طيب اليوم مفروض نبدأ في ال Adams جاهز أحمد؟ علاج
+
+260
+00:31:40,420 --> 00:31:49,580
+طبك جاهز؟ مافيش Adams على الجهاز نازل؟ طيب ماشي
+
+261
+00:31:50,540 --> 00:31:55,060
+الان هنكمل احنا عشان الكل يكون عارف احنا من ضمن
+
+262
+00:31:55,060 --> 00:32:00,020
+خطة المصداق ان ندخل برنامج Adams يعني المسائل هتحل
+
+263
+00:32:00,020 --> 00:32:04,960
+بالطريقة اليدوية و بعدين نعملها application على ال
+
+264
+00:32:04,960 --> 00:32:11,820
+Adams طبعا هيتم من خلال الطلاب كل طالب يعني هيحضر
+
+265
+00:32:11,820 --> 00:32:18,060
+مجموعة و كل section هكون مسألتين على ال Adams طيب
+
+266
+00:32:18,060 --> 00:32:22,200
+احنا من المحاضرة الجايةهنبدأ نعرض ال .. ال Adams
+
+267
+00:32:22,200 --> 00:32:26,440
+اتباعا يعني كل محاضرة ممكن نحرض طالب نعطيله عشر
+
+268
+00:32:26,440 --> 00:32:33,580
+دقائق و طبقا لكل محاضرة هيكون فيه واجب هيتحلوا
+
+269
+00:32:33,580 --> 00:32:37,820
+مسألتين من كل section يدوي و تحلوه برضه على ال
+
+270
+00:32:37,820 --> 00:32:40,200
+Adams محاضرة جاي نكمل اعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/U-Gyh2su2wM_raw.json b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/U-Gyh2su2wM_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..935cdc2ba36a2508a89880a1f73d69568c6bcbfb
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/U-Gyh2su2wM_raw.json
@@ -0,0 +1 @@
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sliding هذه V relative", "tokens": [7649, 995, 11331, 41193, 9566, 11331, 6027, 25528, 2423, 19627, 3920, 1783, 50, 56, 56, 15844, 2423, 18513, 7578, 6024, 48506, 49610, 11622, 38207, 39896, 30544, 8717, 31371, 7435, 3660, 21169, 29538, 691, 4972], "avg_logprob": -0.48392856972558157, "compression_ratio": 1.125, "no_speech_prob": 0.0, "words": [{"start": 561.95, "end": 562.25, "word": "انا", "probability": 0.878662109375}, {"start": 562.25, "end": 562.53, "word": " حاطط", "probability": 0.96728515625}, {"start": 562.53, "end": 562.89, "word": " حاليا", "probability": 0.8662109375}, {"start": 562.89, "end": 563.13, "word": " ال", "probability": 0.92041015625}, {"start": 563.13, "end": 564.13, "word": " rotating", "probability": 0.626953125}, {"start": 564.13, "end": 564.73, "word": " frame", "probability": 0.88818359375}, {"start": 564.73, "end": 565.47, "word": " XSYY", "probability": 0.16524505615234375}, {"start": 565.47, "end": 565.65, "word": " على", "probability": 0.78369140625}, 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{"start": 638.38, "end": 646.8, "word": " زاد", "probability": 0.553466796875}, {"start": 646.8, "end": 649.56, "word": " V", "probability": 0.421142578125}, {"start": 649.56, "end": 650.14, "word": " relative", "probability": 0.708984375}, {"start": 650.14, "end": 655.84, "word": " اللي", "probability": 0.5042724609375}, {"start": 655.84, "end": 655.96, "word": " هي", "probability": 0.697265625}, {"start": 655.96, "end": 656.54, "word": " بتعمل", "probability": 0.9552408854166666}], "temperature": 1.0}, {"id": 22, "seek": 68541, "start": 659.49, "end": 685.41, "text": "مع الرأس ستين الكلام اللي احكيه منطقي لما الصرع ال V P هي ال vector صملة ال V P prime وال V relative جاي بينهم مظبوط؟ الكلام اللي احكيه صح طيب ال V P prime", "tokens": [2304, 3615, 34892, 10721, 3794, 8608, 2655, 9957, 2423, 28820, 10943, 13672, 1829, 1975, 5016, 4117, 1829, 3224, 9154, 9566, 4587, 1829, 5296, 15042, 31767, 2288, 3615, 2423, 691, 430, 39896, 2423, 8062, 20328, 2304, 37977, 2423, 691, 430, 5835, 16070, 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to", "probability": 0.96728515625}, {"start": 1170.29, "end": 1170.83, "word": " rotation", "probability": 0.974609375}], "temperature": 1.0}, {"id": 38, "seek": 120228, "start": 1177.5, "end": 1202.28, "text": "زائد a relative زائد Coriolis ال a,b is fully defined by the motion of link b,b", "tokens": [11622, 16373, 3215, 257, 4972, 30767, 16373, 3215, 3925, 72, 16466, 2423, 257, 11, 65, 307, 4498, 7642, 538, 264, 5394, 295, 2113, 272, 11, 65], "avg_logprob": -0.35532408069681237, "compression_ratio": 1.0113636363636365, "no_speech_prob": 0.0, "words": [{"start": 1177.4999999999998, "end": 1178.6399999999999, "word": "زائد", "probability": 0.73681640625}, {"start": 1178.6399999999999, "end": 1179.78, "word": " a", "probability": 0.413818359375}, {"start": 1179.78, "end": 1180.38, "word": " relative", "probability": 0.955078125}, {"start": 1180.38, "end": 1184.36, "word": " زائد", "probability": 0.9451497395833334}, {"start": 1184.36, "end": 1186.28, "word": " Coriolis", "probability": 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بالثواقمتها a relative واتجاهها", "tokens": [6027, 39184, 257, 4972, 39896, 2423, 17162, 24976, 4137, 20666, 1863, 35457, 3660, 24976, 19627, 3920, 8032, 2655, 30544, 29538, 1975, 2655, 7435, 40294, 11296, 29538, 257, 4972, 3714, 43020, 7251, 30544, 20666, 3615, 4117, 3794, 1975, 8315, 6156, 43042, 47395, 257, 4972, 2423, 257, 4972, 20666, 12984, 14407, 4587, 2304, 2655, 11296, 257, 4972, 4032, 9307, 7435, 40294, 11296], "avg_logprob": -0.27407787862371225, "compression_ratio": 1.6603773584905661, "no_speech_prob": 0.0, "words": [{"start": 1535.12, "end": 1535.52, "word": "الـ", "probability": 0.60986328125}, {"start": 1535.52, "end": 1535.58, "word": " a", "probability": 0.2032470703125}, {"start": 1535.58, "end": 1535.88, "word": " relative", "probability": 0.9580078125}, {"start": 1535.88, "end": 1536.34, "word": " هي", "probability": 0.9306640625}, {"start": 1536.34, "end": 1536.8, "word": " ال", "probability": 0.55029296875}, {"start": 1536.8, "end": 1537.28, "word": " 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2376.42, "end": 2377.42, "word": " تسعة", "probability": 0.9402669270833334}, {"start": 2377.42, "end": 2380.44, "word": " نعم", "probability": 0.702392578125}, {"start": 2380.44, "end": 2382.28, "word": " طالما", "probability": 0.9249674479166666}, {"start": 2382.28, "end": 2382.64, "word": " طلت", "probability": 0.7568359375}, {"start": 2382.64, "end": 2383.38, "word": " الإجاب", "probability": 0.822265625}, {"start": 2383.38, "end": 2383.6, "word": " موج", "probability": 0.911865234375}, {"start": 2383.6, "end": 2383.68, "word": " و", "probability": 0.301025390625}, {"start": 2383.68, "end": 2383.9, "word": " بقيت", "probability": 0.4327799479166667}, {"start": 2383.9, "end": 2384.34, "word": " الاتجاه", "probability": 0.83013916015625}, {"start": 2384.34, "end": 2384.72, "word": " صح", "probability": 0.974609375}, {"start": 2384.72, "end": 2385.38, "word": " إذا", "probability": 0.785400390625}, {"start": 2385.38, "end": 2385.64, "word": " طلعت", "probability": 0.9830729166666666}, {"start": 2385.64, "end": 2385.92, "word": " negative", "probability": 0.7763671875}, {"start": 2385.92, "end": 2386.16, "word": " بقيت", "probability": 0.7511393229166666}, {"start": 2386.16, "end": 2386.52, "word": " اتجاه", "probability": 0.9130859375}, {"start": 2386.52, "end": 2386.9, "word": " إعناق", "probability": 0.714508056640625}, {"start": 2386.9, "end": 2387.36, "word": " غلط", "probability": 0.96630859375}], "temperature": 1.0}, {"id": 76, "seek": 242607, "start": 2406.53, "end": 2426.07, "text": "خلفتي هنشور في الذكر اللي هو مية و اتنين و خمسين كأنه انا عامل override", "tokens": [9778, 46538, 31371, 8032, 1863, 8592, 13063, 8978, 32545, 37983, 13672, 1829, 31439, 3714, 10632, 4032, 1975, 2655, 1863, 9957, 4032, 16490, 2304, 3794, 9957, 9122, 33456, 3224, 1975, 8315, 6225, 10943, 1211, 42321], "avg_logprob": -0.17444196598870412, "compression_ratio": 1.2121212121212122, "no_speech_prob": 0.0, "words": [{"start": 2406.53, "end": 2406.99, "word": "خلفتي", "probability": 0.7579752604166666}, {"start": 2406.99, "end": 2407.27, "word": " هنشور", "probability": 0.64691162109375}, {"start": 2407.27, "end": 2407.39, "word": " في", "probability": 0.82568359375}, {"start": 2407.39, "end": 2407.83, "word": " الذكر", "probability": 0.89892578125}, {"start": 2407.83, "end": 2409.69, "word": " اللي", "probability": 0.820068359375}, {"start": 2409.69, "end": 2410.03, "word": " هو", "probability": 0.99267578125}, {"start": 2410.03, "end": 2410.49, "word": " مية", "probability": 0.8876953125}, {"start": 2410.49, "end": 2410.61, "word": " و", "probability": 0.91845703125}, {"start": 2410.61, "end": 2410.81, "word": " اتنين", "probability": 0.906982421875}, {"start": 2410.81, "end": 2410.93, "word": " و", "probability": 0.99755859375}, {"start": 2410.93, "end": 2411.53, "word": " خمسين", "probability": 0.97705078125}, {"start": 2411.53, "end": 2420.05, "word": " كأنه", "probability": 0.8815104166666666}, {"start": 2420.05, "end": 2421.73, "word": " انا", "probability": 0.82666015625}, {"start": 2421.73, "end": 2425.25, "word": " عامل", "probability": 0.8517252604166666}, {"start": 2425.25, "end": 2426.07, "word": " override", "probability": 0.822265625}], "temperature": 1.0}, {"id": 77, "seek": 246442, "start": 2436.07, "end": 2464.43, "text": "اختلفت الأرقام مظبوط هذه البسألة اللي هي مية و اتنين و خمسين كانت طب في اي سؤال", "tokens": [47283, 2655, 46538, 2655, 16247, 2288, 4587, 10943, 3714, 19913, 3555, 2407, 9566, 29538, 29739, 3794, 10721, 37977, 13672, 1829, 39896, 3714, 10632, 4032, 1975, 2655, 1863, 9957, 4032, 16490, 2304, 3794, 9957, 25961, 2655, 23032, 3555, 8978, 1975, 1829, 8608, 33604, 6027], "avg_logprob": -0.17089843343604694, "compression_ratio": 1.392156862745098, "no_speech_prob": 0.0, "words": [{"start": 2436.07, "end": 2436.73, "word": "اختلفت", "probability": 0.9844970703125}, {"start": 2436.73, "end": 2437.25, "word": " الأرقام", "probability": 0.97900390625}, {"start": 2437.25, "end": 2437.97, "word": " مظبوط", "probability": 0.9337890625}, {"start": 2437.97, "end": 2440.11, "word": " هذه", "probability": 0.52685546875}, {"start": 2440.11, "end": 2440.55, "word": " البسألة", "probability": 0.75958251953125}, {"start": 2440.55, "end": 2440.77, "word": " اللي", "probability": 0.6458740234375}, {"start": 2440.77, "end": 2440.89, "word": " هي", "probability": 0.93017578125}, {"start": 2440.89, "end": 2441.09, "word": " مية", "probability": 0.648681640625}, {"start": 2441.09, "end": 2441.23, "word": " و", "probability": 0.91064453125}, {"start": 2441.23, "end": 2441.37, "word": " اتنين", "probability": 0.8780517578125}, {"start": 2441.37, "end": 2441.49, "word": " و", "probability": 0.98193359375}, {"start": 2441.49, "end": 2441.83, "word": " خمسين", "probability": 0.92041015625}, {"start": 2441.83, "end": 2446.85, "word": " كانت", "probability": 0.9892578125}, {"start": 2446.85, "end": 2463.55, "word": " طب", "probability": 0.746337890625}, {"start": 2463.55, "end": 2463.75, "word": " في", "probability": 0.89501953125}, {"start": 2463.75, "end": 2463.97, "word": " اي", "probability": 0.7666015625}, {"start": 2463.97, "end": 2464.43, "word": " سؤال", "probability": 0.9889322916666666}], "temperature": 1.0}, {"id": 78, "seek": 249307, "start": 2466.09, "end": 2493.07, "text": "شايفكم خلصت chapter خمس عشر فاختيار اللي هو المحاور المتحركة مهم المحاور المتحركة عادة بتحطوها علياش على ال link اللي بيكون فيه بالنسبة لها sliding أو relative motion ال link اللي بتكون fully defined motion للنقطة بتحطوهاش على المتحرك", "tokens": [8592, 995, 33911, 24793, 16490, 1211, 9381, 2655, 7187, 16490, 2304, 3794, 6225, 46309, 6156, 47283, 31371, 9640, 13672, 1829, 31439, 9673, 5016, 995, 13063, 9673, 2655, 5016, 31747, 3660, 3714, 16095, 9673, 5016, 995, 13063, 9673, 2655, 5016, 31747, 3660, 6225, 18513, 3660, 39894, 5016, 9566, 2407, 11296, 11203, 25528, 8592, 15844, 2423, 2113, 13672, 1829, 4724, 1829, 30544, 8978, 3224, 20666, 1863, 35457, 3660, 5296, 11296, 21169, 34051, 4972, 5394, 2423, 2113, 13672, 1829, 39894, 30544, 4498, 7642, 5394, 24976, 1863, 47432, 3660, 39894, 5016, 9566, 2407, 3224, 33599, 15844, 9673, 2655, 5016, 31747], "avg_logprob": -0.1829896858058025, "compression_ratio": 1.799043062200957, "no_speech_prob": 4.172325134277344e-07, "words": [{"start": 2466.09, "end": 2466.49, "word": "شايفكم", "probability": 0.4756317138671875}, {"start": 2466.49, "end": 2466.93, "word": " خلصت", "probability": 0.977783203125}, {"start": 2466.93, "end": 2467.41, "word": " chapter", "probability": 0.27001953125}, {"start": 2467.41, "end": 2468.57, "word": " خمس", "probability": 0.86181640625}, {"start": 2468.57, "end": 2468.95, "word": " عشر", "probability": 0.3818359375}, {"start": 2468.95, "end": 2470.23, "word": " فاختيار", "probability": 0.87841796875}, {"start": 2470.23, "end": 2470.37, "word": " اللي", "probability": 0.843505859375}, {"start": 2470.37, "end": 2470.65, "word": " هو", "probability": 0.9921875}, {"start": 2470.65, "end": 2472.11, "word": " المحاور", "probability": 0.962646484375}, {"start": 2472.11, "end": 2473.03, "word": " المتحركة", "probability": 0.9861328125}, {"start": 2473.03, "end": 2473.91, "word": " مهم", "probability": 0.961669921875}, {"start": 2473.91, "end": 2475.05, "word": " المحاور", "probability": 0.9801025390625}, {"start": 2475.05, "end": 2475.93, "word": " المتحركة", "probability": 0.98251953125}, {"start": 2475.93, "end": 2476.21, "word": " عادة", "probability": 0.9866536458333334}, {"start": 2476.21, "end": 2476.83, "word": " بتحطوها", "probability": 0.90673828125}, {"start": 2476.83, "end": 2477.41, "word": " علياش", "probability": 0.6198323567708334}, {"start": 2477.41, "end": 2479.01, "word": " على", "probability": 0.71337890625}, {"start": 2479.01, "end": 2479.73, "word": " ال", "probability": 0.931640625}, {"start": 2479.73, "end": 2480.09, "word": " link", "probability": 0.98291015625}, {"start": 2480.09, "end": 2481.29, "word": " اللي", "probability": 0.933349609375}, {"start": 2481.29, "end": 2481.63, "word": " بيكون", "probability": 0.9329427083333334}, {"start": 2481.63, "end": 2481.95, "word": " فيه", "probability": 0.884765625}, {"start": 2481.95, "end": 2482.37, "word": " بالنسبة", "probability": 0.983154296875}, {"start": 2482.37, "end": 2482.75, "word": " لها", "probability": 0.712158203125}, {"start": 2482.75, "end": 2484.11, "word": " sliding", "probability": 0.98291015625}, {"start": 2484.11, "end": 2484.43, "word": " أو", "probability": 0.541015625}, {"start": 2484.43, "end": 2484.69, "word": " relative", "probability": 0.9638671875}, {"start": 2484.69, "end": 2485.17, "word": " motion", "probability": 0.97607421875}, {"start": 2485.17, "end": 2487.83, "word": " ال", "probability": 0.8759765625}, {"start": 2487.83, "end": 2488.23, "word": " link", "probability": 0.99072265625}, {"start": 2488.23, "end": 2488.49, "word": " اللي", "probability": 0.983642578125}, {"start": 2488.49, "end": 2488.95, "word": " بتكون", "probability": 0.964599609375}, {"start": 2488.95, "end": 2489.31, "word": " fully", "probability": 0.90625}, {"start": 2489.31, "end": 2489.73, "word": " defined", "probability": 0.86962890625}, {"start": 2489.73, "end": 2490.17, "word": " motion", "probability": 0.5595703125}, {"start": 2490.17, "end": 2490.91, "word": " للنقطة", "probability": 0.9329833984375}, {"start": 2490.91, "end": 2492.25, "word": " بتحطوهاش", "probability": 0.938720703125}, {"start": 2492.25, "end": 2492.39, "word": " على", "probability": 0.810546875}, {"start": 2492.39, "end": 2493.07, "word": " المتحرك", "probability": 0.9970703125}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2493.916, "duration_after_vad": 1989.184374999995}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VaNDsZ9XKyM.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VaNDsZ9XKyM.srt
new file mode 100644
index 0000000000000000000000000000000000000000..fef8919ef26718a7b9517cb7199e1efa00a52812
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VaNDsZ9XKyM.srt
@@ -0,0 +1,460 @@
+1
+00:00:05,160 --> 00:00:07,680
+بسم الله الرحمن الرحيم، السلام عليكم ورحمة الله
+
+2
+00:00:07,680 --> 00:00:11,300
+وبركاته، اليوم هنكمل في مادة الديناميكا، هنخش على
+
+3
+00:00:11,300 --> 00:00:14,420
+الشطر الثاني اللي هي kinetics of particles، the
+
+4
+00:00:14,420 --> 00:00:19,380
+Newton's second law هناك هنا الـ .. الـ .. الـ
+
+5
+00:00:19,380 --> 00:00:24,500
+mechanics تنقسم لثلاثة أقسام، اللي هي mechanics of
+
+6
+00:00:24,500 --> 00:00:27,960
+rigid bodies، mechanics of solids، mechanics of the
+
+7
+00:00:27,960 --> 00:00:31,220
+fluid bodies. احنا معنيين في الـ mechanics of rigid
+
+8
+00:00:31,220 --> 00:00:32,880
+bodies، الـ mechanics of rigid bodies اللي هي
+
+9
+00:00:32,880 --> 00:00:36,520
+statics و dynamics، الـ statics تتعلق بدراسة الأجسام
+
+10
+00:00:36,520 --> 00:00:39,800
+في حالة السكون، الـ dynamics تتعلق بدراسة الأجسام في
+
+11
+00:00:39,800 --> 00:00:44,860
+حالة الحركة، الـ dynamics حكينا فيها kinematics و
+
+12
+00:00:44,860 --> 00:00:47,880
+kinetics، الـ kinematics احنا بندرس هندسة الحركة
+
+13
+00:00:50,840 --> 00:00:56,900
+بنربط الإزاحة والسرعة والعجلة مع الزمن بدون التطرق
+
+14
+00:00:56,900 --> 00:01:01,040
+للمسبب أو المؤثر، الـ forces. الـ kinetics بنربط بين
+
+15
+00:01:01,040 --> 00:01:04,160
+هندسة الحركة والمسبب اللي هي الـ forces اللي هي
+
+16
+00:01:04,160 --> 00:01:10,720
+نيوتن's second law. نيوتن
+
+17
+00:01:10,720 --> 00:01:14,300
+القانون الثاني. القانون الثالث هو بيتعلق بدراسة
+
+18
+00:01:14,300 --> 00:01:16,160
+الأجسام في حالة السكون
+
+19
+00:01:20,190 --> 00:01:24,930
+أو في حالة أجسام متحركة، بس ما يوجد acceleration. تتحرك
+
+20
+00:01:24,930 --> 00:01:31,690
+بسرعة ثابتة أو منتظمة. لأن لما الجسم تستوي تسارعه
+
+21
+00:01:31,690 --> 00:01:34,830
+بيكون
+
+22
+00:01:34,830 --> 00:01:38,950
+صفر. تسارعه نتيجة أن الـ net force عليه بيستوي صفر
+
+23
+00:01:38,950 --> 00:01:47,170
+فتستوي ايش؟ acceleration. هذا هو نيوتن الثاني. الآن
+
+24
+00:01:47,170 --> 00:01:52,640
+الـ resultant force تتناسب من حيث القيمة ومن حيث
+
+25
+00:01:52,640 --> 00:01:57,880
+الاتجاه مع الـ net acceleration بتاعة الـ particle
+
+26
+00:01:57,880 --> 00:02:03,060
+يعني إذا كانت الـ net forces اللي هي قيمة معينة و
+
+27
+00:02:03,060 --> 00:02:06,380
+أفقية، معناته الـ acceleration هتكون باتجاه الأفق، ده
+
+28
+00:02:06,380 --> 00:02:10,950
+اليمين. إذا كانت مائلة بزاوية، زي إن أنا F2 هتكون الـ
+
+29
+00:02:10,950 --> 00:02:14,730
+A2 في نفس اتجاه الـ F2. أنا بحكي عن net force محصلة
+
+30
+00:02:14,730 --> 00:02:20,110
+كل القوى على الجسم. إذا كانت F الـ force المؤثرة مائلة برضه، X
+
+31
+00:02:20,110 --> 00:02:27,010
+هتكون في نفس اتجاه الـ force. الآن، في علاقة، أن إذا
+
+32
+00:02:27,010 --> 00:02:30,270
+كانت الـ resultant force أو الـ net force اللي بتأثر
+
+33
+00:02:30,270 --> 00:02:35,550
+على الـ particle بتساوي صفر، الجسم هيتحرك بـ
+
+34
+00:02:35,550 --> 00:02:41,970
+acceleration. الراتيو بين الـ force و الـ acceleration
+
+35
+00:02:41,970 --> 00:02:47,190
+دائماً ثابتة، اللي هي إيش؟ الـ mass بتاعة الـ particle
+
+36
+00:02:47,190 --> 00:02:54,670
+يعني F على A بتساوي M. معناته
+
+37
+00:02:54,670 --> 00:03:02,110
+إذا عندي جسم، محصلة القوى عليه F، هيتحرك بـ
+
+38
+00:03:02,110 --> 00:03:10,840
+acceleration A، هتكون الـ F بتساوي M في A. يعني قيمة
+
+39
+00:03:10,840 --> 00:03:16,060
+الـ force هتكون الـ mass في الـ acceleration، واتجاه
+
+40
+00:03:16,060 --> 00:03:22,600
+الـ acceleration نفس اتجاه الـ net force. إذا
+
+41
+00:03:22,600 --> 00:03:26,760
+كانت الـ net force acting on a particle is zero،
+
+42
+00:03:29,940 --> 00:03:32,800
+the particle. معناته إذا الـ net force صفر، معناته
+
+43
+00:03:32,800 --> 00:03:35,420
+ما فيش acceleration، إلا acceleration بتكون بتساوي
+
+44
+00:03:35,420 --> 00:03:41,520
+صفر، لأن الـ mass مش هتكون صفر، اللي هي قيمة. معناته
+
+45
+00:03:41,520 --> 00:03:44,800
+إذا الـ acceleration صفر، معناته يا إما هيكون الجسم
+
+46
+00:03:44,800 --> 00:03:52,660
+ساكن أو متحرك بسرعة منتظمة. ففي حالة كانت الـ net
+
+47
+00:03:52,660 --> 00:03:57,350
+force على الجسم صفر، يا إما بيكون... طبعاً مش هتحقق...
+
+48
+00:03:57,350 --> 00:04:00,190
+...فش إله acceleration بقى، معناته يا إما بيكون ساكن
+
+49
+00:04:00,190 --> 00:04:06,370
+في حالة السكون أو بيتحرك بسرعة منتظمة، طبعاً along a
+
+50
+00:04:06,370 --> 00:04:12,040
+straight line. إذا كان بيتحرك على خط مستقيم، لأن حتى
+
+51
+00:04:12,040 --> 00:04:17,020
+لو كان قيمة سرعته ثابتة و بيتحرك على curve، فيه
+
+52
+00:04:17,020 --> 00:04:21,640
+acceleration. واضح؟ هذا الكلام إذا كانت الـ force
+
+53
+00:04:21,640 --> 00:04:26,360
+بتأثر على جسم، قيمتها صفر. كان الـ particle بيتحرك على خط
+
+54
+00:04:26,360 --> 00:04:33,540
+مستقيم، معناته إما يكون stationary أو بيكون... بكون
+
+55
+00:04:33,540 --> 00:04:35,200
+بيتحرك بسرعة منتظمة.
+
+56
+00:04:40,060 --> 00:04:47,540
+الآن، فين دي؟ particle بيتحرك على curve، كمية الحركة
+
+57
+00:04:47,540 --> 00:04:55,290
+أو الزخم تبعه، M في V، سرعة في mass. كمية الزخم بتاعته
+
+58
+00:04:55,290 --> 00:05:03,730
+M في V. الآن، summation forces إيه؟ بتساوي M في a. ليش؟ و
+
+59
+00:05:03,730 --> 00:05:10,710
+a ليش؟ إيش هي؟ M DV بواسطه DT. اللي لو دخلت الـ M جوا
+
+60
+00:05:10,710 --> 00:05:16,950
+differential بيصير D بواسطه T ل MV. الـ MV إيش هي؟
+
+61
+00:05:18,330 --> 00:05:23,170
+الزخم. معناته summation forces بيساوي التغير في
+
+62
+00:05:23,170 --> 00:05:30,580
+الزخم الخطي للـ particle. طبعاً هذه هي الـ general
+
+63
+00:05:30,580 --> 00:05:34,460
+equation. الزخم الخطي للـ particle، لأنه ممكن تظبط هذه
+
+64
+00:05:34,460 --> 00:05:39,720
+المعادلة إذا كانت الـ mass متغيرة. إذا كانت الـ mass
+
+65
+00:05:39,720 --> 00:05:45,080
+متغيرة، بنستخدم إن summation of forces بتساوي DL by
+
+66
+00:05:45,080 --> 00:05:49,120
+DT. إذا كانت الـ mass constant، بنطلعها برة الـ
+
+67
+00:05:49,120 --> 00:05:54,980
+differential. إذا كانت متغيرة، هأحكي summation force
+
+68
+00:05:54,980 --> 00:06:00,800
+بيساوي d by dt لل mv + dm by dt في الـ V، زائد اللي هي
+
+69
+00:06:00,800 --> 00:06:04,420
+الـ m dv by dt. يعني في component إضافية نتيجة
+
+70
+00:06:04,420 --> 00:06:06,160
+التغير في الكتلة.
+
+71
+00:06:10,610 --> 00:06:15,030
+هذا بيقودنا لـ principle of conservation of linear
+
+72
+00:06:15,030 --> 00:06:20,290
+momentum. إذا كانت الـ summation للـ forces المؤثرة على
+
+73
+00:06:20,290 --> 00:06:26,690
+particle is zero، معناته هيكون DL بقى DT بتساوي
+
+74
+00:06:26,690 --> 00:06:32,770
+صفر. إيش الإش المشتقته صفر؟ بيكون constant.
+
+75
+00:06:32,770 --> 00:06:36,030
+معناته الـ linear momentum is conserved. يعني زخم
+
+76
+00:06:36,030 --> 00:06:42,220
+ثابت. الجسم متحرك بزخم ثابت. معناته الـ linear
+
+77
+00:06:42,220 --> 00:06:48,200
+momentum of particle بتكون ثابتة من حيث القيمة
+
+78
+00:06:48,200 --> 00:06:50,900
+و الاتجاه. في الحالة اللي بيحكي الـ linear momentum
+
+79
+00:06:50,900 --> 00:06:52,600
+is conserved.
+
+80
+00:06:59,380 --> 00:07:02,260
+لنظام الوحدات، في عندنا الوحدات الدولية، الـ
+
+81
+00:07:02,260 --> 00:07:07,060
+international system of units، الـ SI units. إن زي ما
+
+82
+00:07:07,060 --> 00:07:11,340
+إنتوا شايفين، في عندي particle وزن one kilogram
+
+83
+00:07:11,340 --> 00:07:18,980
+بيتحرك تحت تأثير قوة محصلة واحد نيوتن. نتيجة قوة
+
+84
+00:07:18,980 --> 00:07:22,320
+واحد نيوتن، هيتحرك بـ acceleration واحد meter per
+
+85
+00:07:22,320 --> 00:07:30,470
+second square. معناته، إن النيوتن هو القوة اللازمة
+
+86
+00:07:30,470 --> 00:07:33,570
+لكي تُعطينا unit. إنت من الـ unit بتعطي definition
+
+87
+00:07:33,570 --> 00:07:38,330
+للـ Newton. هي القوة اللازمة عشان يتحرك جسم كتلته
+
+88
+00:07:38,330 --> 00:07:41,870
+واحد kilogram بـ acceleration واحد meter per second
+
+89
+00:07:41,870 --> 00:07:46,750
+squared.
+
+90
+00:07:46,750 --> 00:07:52,070
+في الوحدات الإنجليزية، عندي
+
+91
+00:07:52,070 --> 00:08:02,630
+جسم كتلته واحد، أو جسم تحت تأثير، أو نحكي وزنه تحت تأثير
+
+92
+00:08:02,630 --> 00:08:09,430
+قوة واحد pound force و كتلته
+
+93
+00:08:09,430 --> 00:08:15,650
+واحد pound mass. الواحد pound force هي، أو الـ واحد
+
+94
+00:08:15,650 --> 00:08:22,770
+الـ pound force هي القوة اللازمة عشان أحرك particle
+
+95
+00:08:24,560 --> 00:08:28,540
+كتلته واحد pound mass بـ acceleration إثنين وثلاثين
+
+96
+00:08:28,540 --> 00:08:36,620
+فاصلة اثنين قدم على ثانية تربيع. أو الـ واحد pound
+
+97
+00:08:36,620 --> 00:08:45,700
+force هي القوة اللازمة لتحريك جسم كتلته واحد slug
+
+98
+00:08:46,770 --> 00:08:51,370
+بـ acceleration واحد قدم على second
+
+99
+00:08:51,370 --> 00:09:00,390
+تربيع. معناته، الـ... أنا حاكي، أنا واحد pound force
+
+100
+00:09:00,390 --> 00:09:08,430
+واحد pound force بتحرك
+
+101
+00:09:08,430 --> 00:09:15,210
+جسم كتلته واحد pound mass بـ acceleration
+
+102
+00:09:21,770 --> 00:09:27,570
+بـ acceleration 32.2 قدم على ثانية تربيع. و برضه، الواحد
+
+103
+00:09:27,570 --> 00:09:33,750
+pound force هي القوة اللازمة لتحريك واحد slug
+
+104
+00:09:33,750 --> 00:09:41,390
+بـ acceleration قيمتها واحد قدم على ثانية تربيع. هذا slug
+
+105
+00:09:41,390 --> 00:09:45,690
+يعني لو قسمت الطرفين المعادلتين على بعض، هيطلع
+
+106
+00:09:45,690 --> 00:09:52,080
+pound مع pound بتساوي واحد، بتساوي اثنين وثلاثين فاصلة
+
+107
+00:09:52,080 --> 00:10:03,360
+اثنين pound mass على slug. معناته
+
+108
+00:10:03,360 --> 00:10:08,740
+الـ slug إيش
+
+109
+00:10:08,740 --> 00:10:09,400
+بتساوي؟
+
+110
+00:10:22,890 --> 00:10:34,390
+منطقي، مظبوط. يعني نفس الـ force هي تعطينا 32.2 وهي
+
+111
+00:10:34,390 --> 00:10:44,950
+نفس الـ force تعطينا one feet per second squared.
+
+112
+00:10:47,260 --> 00:10:50,980
+مع نفس الـ force، بحركها بـ acceleration أقل، معناه
+
+113
+00:10:50,980 --> 00:10:56,040
+الكتلة هذه، الـ slug، لازم يكون أكبر من هذه، صح؟ واضح؟
+
+114
+00:10:56,040 --> 00:11:03,560
+فالـ slug هتكون 32.2 pound mass. المحاضرة
+
+115
+00:11:03,560 --> 00:11:05,300
+الجاية، هنكمل. أعطيكم العافية.
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VaNDsZ9XKyM_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VaNDsZ9XKyM_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..009714b13ba6cae49026c4f420e9f783e69cead7
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VaNDsZ9XKyM_postprocess.srt
@@ -0,0 +1,460 @@
+1
+00:00:05,160 --> 00:00:07,680
+بسم الله الرحمن الرحيم، السلام عليكم ورحمة الله
+
+2
+00:00:07,680 --> 00:00:11,300
+وبركاته، اليوم هنكمل في مادة الديناميكا، هنخش على
+
+3
+00:00:11,300 --> 00:00:14,420
+الشبطر التاني اللي هي kinetics of particles، the
+
+4
+00:00:14,420 --> 00:00:19,380
+Newton's second law هناك هنا ال .. ال .. ال
+
+5
+00:00:19,380 --> 00:00:24,500
+mechanics تنقسم لتلت أقسام، اللي هي mechanics of
+
+6
+00:00:24,500 --> 00:00:27,960
+rigid bodies، mechanics of load، mechanics of the
+
+7
+00:00:27,960 --> 00:00:31,220
+forward bodiesاحنا معنيين في ال mechanics of rigid
+
+8
+00:00:31,220 --> 00:00:32,880
+bodies، ال mechanics of rigid bodies اللي هي
+
+9
+00:00:32,880 --> 00:00:36,520
+statics و dynamics، ال statics تتعلق دراسة الأجسام
+
+10
+00:00:36,520 --> 00:00:39,800
+في حالة السكون، ال dynamics تتعلق دراسة الأجسام في
+
+11
+00:00:39,800 --> 00:00:44,860
+حالة الحركة، ال dynamics حاكينا في kinematics و
+
+12
+00:00:44,860 --> 00:00:47,880
+kinetics، ال kinematics احنا بندرس هندسة الحركة
+
+13
+00:00:50,840 --> 00:00:56,900
+بنربط الإزاحة والسرعة والعجلة مع الزمن بدون التطرق
+
+14
+00:00:56,900 --> 00:01:01,040
+للمسبب أو المؤثر ال forces الkinetics بنربط بين
+
+15
+00:01:01,040 --> 00:01:04,160
+هندسة الحركة والمسبب اللي هي ال forces اللي هي
+
+16
+00:01:04,160 --> 00:01:10,720
+نيوتنز second law نيوتنز
+
+17
+00:01:10,720 --> 00:01:14,300
+القانونية الأول قانونية التالت هو بتعلق دراسة
+
+18
+00:01:14,300 --> 00:01:16,160
+الأجسام في حالة السكون
+
+19
+00:01:20,190 --> 00:01:24,930
+أو في حالة أجسام متحركة بس مايوجد اكسلاريشن تتحرك
+
+20
+00:01:24,930 --> 00:01:31,690
+بسرعة ثابتة او منتظرة لأن لما الجسم استيقظوا تسارة
+
+21
+00:01:31,690 --> 00:01:34,830
+بيكونوا
+
+22
+00:01:34,830 --> 00:01:38,950
+تسارة نتيجة ان ال net force عليه بيستويز زيرو
+
+23
+00:01:38,950 --> 00:01:47,170
+فتعملوا ايش اكسلاريشن هذا هو نيوتن ثانوية دور الآن
+
+24
+00:01:47,170 --> 00:01:52,640
+ال resultant forceتتناسب من حيث القيمة و من حيث
+
+25
+00:01:52,640 --> 00:01:57,880
+الاتجاه مع ال net acceleration بتاعة ال particle
+
+26
+00:01:57,880 --> 00:02:03,060
+يعني اذا كانت ال net forces اللي هي قيمة معينة و
+
+27
+00:02:03,060 --> 00:02:06,380
+أفقية معناته ال acceleration هتكون اتجاه الأفق ده
+
+28
+00:02:06,380 --> 00:02:10,950
+اليمين اذا كانت ميلة بزاوية زي ان انا F2هتكون ال
+
+29
+00:02:10,950 --> 00:02:14,730
+A2 في نفس اتجاه ال F2 انا بحكي عن net force محاصرة
+
+30
+00:02:14,730 --> 00:02:20,110
+كل قوة الجسم اذا كانت F ال force لتحته ميلة برضه X
+
+31
+00:02:20,110 --> 00:02:27,010
+هتكون في نفس اتجاه ال force الان في علاقة ان اذا
+
+32
+00:02:27,010 --> 00:02:30,270
+كانت ال resultant force او ال net force اللي بتأثر
+
+33
+00:02:30,270 --> 00:02:35,550
+على particle بتسويش zero الجسم هيتحرك ب
+
+34
+00:02:35,550 --> 00:02:41,970
+accelerationالراتيو بين ال force و ال acceleration
+
+35
+00:02:41,970 --> 00:02:47,190
+دائما ثابتة اللى هى ايش ال mass بتاعة ال particle
+
+36
+00:02:47,190 --> 00:02:54,670
+يعني F على A بساوية M معناته
+
+37
+00:02:54,670 --> 00:03:02,110
+اذا عندى جسم محصلة القوتات عليها F هيتحرك بال
+
+38
+00:03:02,110 --> 00:03:10,840
+accelerationA هتكون ال F بالثوابة M في A يعني قيمة
+
+39
+00:03:10,840 --> 00:03:16,060
+ال force هتكون ال mass في ال acceleration واتجاه
+
+40
+00:03:16,060 --> 00:03:22,600
+ال acceleration نفس اتجاه ال net force اذا
+
+41
+00:03:22,600 --> 00:03:26,760
+كانت ال net force acting on a particle is zero
+
+42
+00:03:29,940 --> 00:03:32,800
+the particle معناته اذا ال net force زيرو معناته
+
+43
+00:03:32,800 --> 00:03:35,420
+مافيش acceleration الا acceleration بتكون ساوى
+
+44
+00:03:35,420 --> 00:03:41,520
+زيرو لان ال mass مش هتكون زيرو اللي هقيمة معناته
+
+45
+00:03:41,520 --> 00:03:44,800
+اذا ال acceleration زيرو معناته يا اما هكون الجسم
+
+46
+00:03:44,800 --> 00:03:52,660
+ثابت او متحرك بسرعة منتظرة ففي حالة كانت ال net
+
+47
+00:03:52,660 --> 00:03:57,350
+force على الجسمzero يا إما بيكون .. طبعا مش هتحقق
+
+48
+00:03:57,350 --> 00:04:00,190
+.. فش إله acceleration بقى نهاته يا إما بيكون ساكن
+
+49
+00:04:00,190 --> 00:04:06,370
+في حالة السكون أو بتحرك بسرعة منتظرة طبعا along a
+
+50
+00:04:06,370 --> 00:04:12,040
+straight lineإذا كان اتحرك على خط مستقيم لأن حتى
+
+51
+00:04:12,040 --> 00:04:17,020
+لو كان قيمة سرعته ثابتة و بتحرك على curve في
+
+52
+00:04:17,020 --> 00:04:21,640
+acceleration واضح؟ هذا الكلام إذا كانت ال force
+
+53
+00:04:21,640 --> 00:04:26,360
+بتأثه جسم قيمتها zero كان ال particle بتحرك على خط
+
+54
+00:04:26,360 --> 00:04:33,540
+مستقيم معناته إما يكون stationary أو بتكون .. بكون
+
+55
+00:04:33,540 --> 00:04:35,200
+اتحرك بسرعة منتصفة
+
+56
+00:04:40,060 --> 00:04:47,540
+الأن فين دي particle بتحرك على curve كمية الحركة
+
+57
+00:04:47,540 --> 00:04:55,290
+أو الزخم تبعه M في V سرعة في massكمية الزخم بتاعته
+
+58
+00:04:55,290 --> 00:05:03,730
+M في V الان سبميشن فورسز ايه بتستاوي M في X ليش و
+
+59
+00:05:03,730 --> 00:05:10,710
+X ليش ايش ايه M DV بوادي T اللي لو دخلت ال M جوا
+
+60
+00:05:10,710 --> 00:05:16,950
+differential بيصير D بوادي T ل MV ال MV ايش هي
+
+61
+00:05:18,330 --> 00:05:23,170
+الزخم معناته summation forces بيساوي التغير في
+
+62
+00:05:23,170 --> 00:05:30,580
+الزخم الخطي لل particleطبعا هذه هي ال general
+
+63
+00:05:30,580 --> 00:05:34,460
+equation الذخم الخط لل particle لأنه ممكن تظبط هذه
+
+64
+00:05:34,460 --> 00:05:39,720
+المعاداة اذا كانت ال mass متغيرة اذا كانت ال mass
+
+65
+00:05:39,720 --> 00:05:45,080
+متغيرة بستخدم انه summation of forces بساوي DL by
+
+66
+00:05:45,080 --> 00:05:49,120
+DT اذا كانت ال mass constant بطلعها برا ال
+
+67
+00:05:49,120 --> 00:05:54,980
+differentialإذا كانت متغيرة هاجحكي صممش force
+
+68
+00:05:54,980 --> 00:06:00,800
+يتساوي d by dt لل mv dm by dt في ال V زائد اللي هي
+
+69
+00:06:00,800 --> 00:06:04,420
+ال m dv by dt يعني في component وتكون إضافية نتيجة
+
+70
+00:06:04,420 --> 00:06:06,160
+التغير في الكتلة
+
+71
+00:06:10,610 --> 00:06:15,030
+هذا بيقودنا لل principle of conservation of linear
+
+72
+00:06:15,030 --> 00:06:20,290
+momentum إذا كانت ال summation لل forces تأثر على
+
+73
+00:06:20,290 --> 00:06:26,690
+particle is zero المعناته هكون DL بقى DT بساوة
+
+74
+00:06:26,690 --> 00:06:32,770
+Zero إيش الإش المشتقته Zero بيكون؟ بيكون constant
+
+75
+00:06:32,770 --> 00:06:36,030
+معناته ال linear momentum is conserved يعني زخم
+
+76
+00:06:36,030 --> 00:06:42,220
+ثابت الجسم متحرك بزخم ثابتمعناته ال linear
+
+77
+00:06:42,220 --> 00:06:48,200
+momentum of particle بتكون ثابتة من حيث القيمة
+
+78
+00:06:48,200 --> 00:06:50,900
+والاتجاه في الحالة اللي بيحكي ال linear momentum
+
+79
+00:06:50,900 --> 00:06:52,600
+is conserved
+
+80
+00:06:59,380 --> 00:07:02,260
+لنظام الوحدات في عند الوحدات الدولية ال
+
+81
+00:07:02,260 --> 00:07:07,060
+international system of units ال SI units ان زي ما
+
+82
+00:07:07,060 --> 00:07:11,340
+انتوا شايفين في عندي particle وزن one kilogram
+
+83
+00:07:11,340 --> 00:07:18,980
+بتحرك تحت اثير قوة محصلة واحد نيوتن نتيجة الفرصة
+
+84
+00:07:18,980 --> 00:07:22,320
+واحد نيوتن هيتحرك ب acceleration واحد meter per
+
+85
+00:07:22,320 --> 00:07:30,470
+second square معناته اللي نيوتن هو القوةاللازمة
+
+86
+00:07:30,470 --> 00:07:33,570
+كويسة طالعة unit انت من ال unit بتعطي definition
+
+87
+00:07:33,570 --> 00:07:38,330
+ال Newton هي القوة اللازمة عشان يتحرك الجسم كتلة
+
+88
+00:07:38,330 --> 00:07:41,870
+واحد kilogram ب acceleration واحد meter per second
+
+89
+00:07:41,870 --> 00:07:46,750
+في
+
+90
+00:07:46,750 --> 00:07:52,070
+الوحدات الإنجليزية عندي
+
+91
+00:07:52,070 --> 00:08:02,630
+جسم كتلة واحد او جسمتحت اثير او نحكي وزنه تحت اثير
+
+92
+00:08:02,630 --> 00:08:09,430
+force واحد pound force وكتلة
+
+93
+00:08:09,430 --> 00:08:15,650
+واحد pound mass الواحد pound force هي او ال واحد
+
+94
+00:08:15,650 --> 00:08:22,770
+ال pound force هي القوة اللازمة عشان احرك particle
+
+95
+00:08:24,560 --> 00:08:28,540
+كتلة واحد pound mass ب acceleration اتنين وتلاتين
+
+96
+00:08:28,540 --> 00:08:36,620
+point two قدم على ثانى تربيع او ال ال واحد pound
+
+97
+00:08:36,620 --> 00:08:45,700
+force هي القوة اللي لازم تحريك جسم كتلة واحد slug
+
+98
+00:08:46,770 --> 00:08:51,370
+acceleration بacceleration واحد قدم على second
+
+99
+00:08:51,370 --> 00:09:00,390
+تربيع معناته ال .. انا هاكي انا واحد pound force
+
+100
+00:09:00,390 --> 00:09:08,430
+واحد pound force بتحرك
+
+101
+00:09:08,430 --> 00:09:15,210
+جسم كتلته واحد pound mouse بacceleration
+
+102
+00:09:21,770 --> 00:09:27,570
+بأكسلاش 32.2 قدم على ثانية تربيع و برضه الواحد
+
+103
+00:09:27,570 --> 00:09:33,750
+pound force هي القوة اللازمة لتحريك واحد slug
+
+104
+00:09:33,750 --> 00:09:41,390
+بأكسلاش قيمتها واحد قدم على ثانية تربيع هذا slug
+
+105
+00:09:41,390 --> 00:09:45,690
+يعني لو قسمت الطرفين المعادلتين على بعض هيطلع
+
+106
+00:09:45,690 --> 00:09:52,080
+pound مع pound بسوا واحدبستوي اتنين و تلاتين point
+
+107
+00:09:52,080 --> 00:10:03,360
+two pound mass على slug معناته
+
+108
+00:10:03,360 --> 00:10:08,740
+ال slug ايش
+
+109
+00:10:08,740 --> 00:10:09,400
+بستوي؟
+
+110
+00:10:22,890 --> 00:10:34,390
+منطقي مظبوط يعني نفس ال force هي تعطينا 32.2 وهي
+
+111
+00:10:34,390 --> 00:10:44,950
+نفس ال force تعطينا one feet per second squared
+
+112
+00:10:47,260 --> 00:10:50,980
+مع نفس ال font بحركها ب acceleration أقل، معناه
+
+113
+00:10:50,980 --> 00:10:56,040
+الكتل هذي ال slug لازم يكون أكبر من هذي، صح؟ حظوط؟
+
+114
+00:10:56,040 --> 00:11:03,560
+فال slug هتكون 32.2 pound mass المحاضرة
+
+115
+00:11:03,560 --> 00:11:05,300
+الجاية، بنكمل، أعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VaNDsZ9XKyM_raw.json b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VaNDsZ9XKyM_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..f2db18a6959f5aa921609a22716e471b5cf442bd
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VaNDsZ9XKyM_raw.json
@@ -0,0 +1 @@
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{"start": 584.79, "end": 585.17, "word": " بعض", "probability": 0.990966796875}, {"start": 585.17, "end": 585.69, "word": " هيطلع", "probability": 0.77349853515625}, {"start": 585.69, "end": 586.05, "word": " pound", "probability": 0.1512451171875}, {"start": 586.05, "end": 586.27, "word": " مع", "probability": 0.93115234375}, {"start": 586.27, "end": 586.51, "word": " pound", "probability": 0.98681640625}, {"start": 586.51, "end": 586.99, "word": " بسوا", "probability": 0.5921223958333334}, {"start": 586.99, "end": 587.59, "word": " واحد", "probability": 0.872802734375}], "temperature": 1.0}, {"id": 25, "seek": 60940, "start": 589.34, "end": 609.4, "text": "بستوي اتنين و تلاتين point two pound mass على slug معناته ال slug ايش بستوي؟", "tokens": [3555, 14851, 45865, 1975, 2655, 1863, 9957, 4032, 6055, 1211, 9307, 9957, 935, 732, 12013, 2758, 15844, 1061, 697, 20449, 8315, 47395, 2423, 1061, 697, 1975, 1829, 8592, 4724, 14851, 45865, 22807], "avg_logprob": -0.2589962121212121, 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"end": 603.76, "word": " ال", "probability": 0.76708984375}, {"start": 603.76, "end": 605.1, "word": " slug", "probability": 0.9755859375}, {"start": 605.1, "end": 608.74, "word": " ايش", "probability": 0.7477213541666666}, {"start": 608.74, "end": 609.4, "word": " بستوي؟", "probability": 0.713134765625}], "temperature": 1.0}, {"id": 26, "seek": 64495, "start": 622.89, "end": 644.95, "text": "منطقي مظبوط يعني نفس ال force هي تعطينا 32.2 وهي نفس ال force تعطينا one feet per second squared", "tokens": [27842, 9566, 38436, 3714, 19913, 3555, 2407, 9566, 37495, 22653, 8717, 36178, 2423, 3464, 39896, 6055, 3615, 9566, 1829, 8315, 8858, 13, 17, 37037, 1829, 8717, 36178, 2423, 3464, 6055, 3615, 9566, 1829, 8315, 472, 3521, 680, 1150, 8889], "avg_logprob": -0.275000012665987, "compression_ratio": 1.2685185185185186, "no_speech_prob": 0.0, "words": [{"start": 622.89, "end": 623.79, "word": "منطقي", "probability": 0.7220865885416666}, {"start": 623.79, "end": 625.41, "word": " مظبوط", "probability": 0.779248046875}, {"start": 625.41, "end": 627.07, "word": " يعني", "probability": 0.716064453125}, {"start": 627.07, "end": 627.65, "word": " نفس", "probability": 0.983154296875}, {"start": 627.65, "end": 627.83, "word": " ال", "probability": 0.90673828125}, {"start": 627.83, "end": 628.59, "word": " force", "probability": 0.98095703125}, {"start": 628.59, "end": 629.97, "word": " هي", "probability": 0.404052734375}, {"start": 629.97, "end": 630.33, "word": " تعطينا", "probability": 0.76767578125}, {"start": 630.33, "end": 630.61, "word": " 32", "probability": 0.6689453125}, {"start": 630.61, "end": 631.39, "word": ".2", "probability": 0.970947265625}, {"start": 631.39, "end": 634.39, "word": " وهي", "probability": 0.6651611328125}, {"start": 634.39, "end": 634.71, "word": " نفس", "probability": 0.997314453125}, {"start": 634.71, "end": 634.99, "word": " ال", "probability": 0.97802734375}, {"start": 634.99, "end": 635.51, "word": " force", "probability": 0.986328125}, {"start": 635.51, "end": 638.47, "word": " تعطينا", "probability": 0.89990234375}, {"start": 638.47, "end": 639.47, "word": " one", "probability": 0.2578125}, {"start": 639.47, "end": 642.41, "word": " feet", "probability": 0.58642578125}, {"start": 642.41, "end": 642.83, "word": " per", "probability": 0.9599609375}, {"start": 642.83, "end": 643.33, "word": " second", "probability": 0.9189453125}, {"start": 643.33, "end": 644.95, "word": " squared", "probability": 0.427734375}], "temperature": 1.0}, {"id": 27, "seek": 66530, "start": 647.26, "end": 665.3, "text": "مع نفس ال font بحركها ب acceleration أقل، معناه الكتل هذي ال slug لازم يكون أكبر من هذي، صح؟ حظوط؟ فال slug هتكون 32.2 pound mass المحاضرة الجاية، بنكمل، أعطيكوا العافية", "tokens": [2304, 3615, 8717, 36178, 2423, 10703, 4724, 5016, 31747, 11296, 4724, 17162, 5551, 4587, 1211, 12399, 20449, 8315, 3224, 33251, 2655, 1211, 8032, 8848, 1829, 2423, 1061, 697, 5296, 31377, 2304, 7251, 30544, 5551, 4117, 26890, 9154, 8032, 8848, 1829, 12399, 20328, 5016, 22807, 11331, 19913, 2407, 9566, 22807, 6156, 6027, 1061, 697, 8032, 2655, 30544, 8858, 13, 17, 12013, 2758, 9673, 5016, 46958, 25720, 25724, 995, 10632, 12399, 44945, 24793, 1211, 12399, 5551, 3615, 9566, 1829, 4117, 14407, 18863, 31845, 10632], "avg_logprob": -0.32981928644410097, "compression_ratio": 1.4114583333333333, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 647.26, "end": 647.56, "word": "مع", "probability": 0.74560546875}, {"start": 647.56, "end": 647.74, "word": " نفس", "probability": 0.56768798828125}, {"start": 647.74, "end": 648.14, "word": " ال", "probability": 0.75390625}, {"start": 648.14, "end": 649.6, "word": " font", "probability": 0.57177734375}, {"start": 649.6, "end": 650.0, "word": " بحركها", "probability": 0.9324951171875}, {"start": 650.0, "end": 650.08, "word": " ب", "probability": 0.8330078125}, {"start": 650.08, "end": 650.32, "word": " acceleration", "probability": 0.282470703125}, {"start": 650.32, "end": 650.82, "word": " أقل،", "probability": 0.77996826171875}, {"start": 650.82, "end": 650.98, "word": " معناه", "probability": 0.5696207682291666}, {"start": 650.98, "end": 651.32, "word": " الكتل", "probability": 0.7482096354166666}, {"start": 651.32, "end": 651.58, "word": " هذي", "probability": 0.5437825520833334}, {"start": 651.58, "end": 651.64, "word": " ال", "probability": 0.6904296875}, {"start": 651.64, "end": 651.88, "word": " slug", "probability": 0.8212890625}, {"start": 651.88, "end": 652.36, "word": " لازم", "probability": 0.931640625}, {"start": 652.36, "end": 652.5, "word": " يكون", "probability": 0.950927734375}, {"start": 652.5, "end": 652.72, "word": " أكبر", "probability": 0.9612630208333334}, {"start": 652.72, "end": 652.84, "word": " من", "probability": 0.9365234375}, {"start": 652.84, "end": 653.1, "word": " هذي،", "probability": 0.68511962890625}, {"start": 653.1, "end": 654.5, "word": " صح؟", "probability": 0.8468424479166666}, {"start": 654.5, "end": 656.04, "word": " حظوط؟", "probability": 0.54197998046875}, {"start": 656.04, "end": 657.2, "word": " فال", "probability": 0.9482421875}, {"start": 657.2, "end": 657.48, "word": " slug", "probability": 0.96337890625}, {"start": 657.48, "end": 657.82, "word": " هتكون", "probability": 0.9215494791666666}, {"start": 657.82, "end": 658.1, "word": " 32", "probability": 0.6845703125}, {"start": 658.1, "end": 658.88, "word": ".2", "probability": 0.948974609375}, {"start": 658.88, "end": 659.44, "word": " pound", "probability": 0.75146484375}, {"start": 659.44, "end": 660.02, "word": " mass", "probability": 0.67919921875}, {"start": 660.02, "end": 663.56, "word": " المحاضرة", "probability": 0.966064453125}, {"start": 663.56, "end": 664.08, "word": " الجاية،", "probability": 0.63983154296875}, {"start": 664.08, "end": 664.7, "word": " بنكمل،", "probability": 0.803955078125}, {"start": 664.7, "end": 664.9, "word": " أعطيكوا", "probability": 0.8135579427083334}, {"start": 664.9, "end": 665.3, "word": " العافية", "probability": 0.730224609375}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 665.20525, "duration_after_vad": 607.9281250000006}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VpJUR7mrDTA.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VpJUR7mrDTA.srt
new file mode 100644
index 0000000000000000000000000000000000000000..6de387de3e9719273c9c42ce44d1f0bb70cb2b45
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VpJUR7mrDTA.srt
@@ -0,0 +1,1122 @@
+1
+00:00:05,010 --> 00:00:07,910
+طيب بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,910 --> 00:00:12,290
+وبركاته هنكمل في مادة الديناميكا، محاضرة فاتت بدنا
+
+3
+00:00:12,290 --> 00:00:16,030
+نحكي عن kinetics of rigid bodies. هكذا فزينا two
+
+4
+00:00:16,030 --> 00:00:19,650
+equations: summation of force بسوء MA، و summation
+
+5
+00:00:19,650 --> 00:00:23,230
+of moments حول الـ center of gravity بسوء I في
+
+6
+00:00:23,230 --> 00:00:28,510
+Alpha. اليوم حلينا two examples. اليوم هنكمل، هنحل
+
+7
+00:00:28,510 --> 00:00:32,190
+مجموعة جدا من الـ examples. فعندي بولي weighing
+
+8
+00:00:32,190 --> 00:00:42,000
+twelve pound، وزن البولي 12 pound، and
+
+9
+00:00:42,000 --> 00:00:44,880
+having a radius of gyration of eight inch، و الـ K
+
+10
+00:00:44,880 --> 00:00:55,320
+بتاعتها ثمانية انش.
+
+11
+00:00:55,320 --> 00:01:00,020
+انش is
+
+12
+00:01:00,020 --> 00:01:05,670
+connected to blocks as shown. عند الـ block A قعد الـ
+
+13
+00:01:05,670 --> 00:01:14,630
+pulley، و WA بتساوي خمسة pound، و
+
+14
+00:01:14,630 --> 00:01:25,110
+WB عشرة pound. determine
+
+15
+00:01:25,110 --> 00:01:27,550
+the angular acceleration of the pulley. بدنا نحسب
+
+16
+00:01:27,550 --> 00:01:31,270
+العجلة الزاوية للـ pulley.
+
+17
+00:01:43,310 --> 00:01:46,630
+أنا هعمل free body diagram. ممكن أعمل، آخد الـ system كله
+
+18
+00:01:46,630 --> 00:01:55,290
+مع بعضه، أو آخد الجسم A لحاله، و الجسم B لحاله، و الـ
+
+19
+00:01:55,290 --> 00:02:01,330
+pulley لحاله. بيصير، أو آخده لأن إذا أخذتهم مع بعضه الـ
+
+20
+00:02:01,330 --> 00:02:05,930
+tension بيبانش. فهأخد كل مجموعة، هاخد الـ free
+
+21
+00:02:05,930 --> 00:02:11,510
+body diagram للـ system كـ free body diagram. هيكون أن دي
+
+22
+00:02:11,510 --> 00:02:12,930
+بيأثر
+
+23
+00:02:16,220 --> 00:02:23,060
+WA، وعندي WB
+
+24
+00:02:23,060 --> 00:02:32,120
+هدا بيأثر، هد ايه
+
+25
+00:02:32,120 --> 00:02:36,520
+هدا بيأثر، هد ايه
+
+26
+00:03:01,670 --> 00:03:27,890
+هذه نقطة C، هذا
+
+27
+00:03:27,890 --> 00:03:31,150
+عشرة انش، واحدة
+
+28
+00:03:38,090 --> 00:03:47,490
+ستة انش. فيطبعاً، بيأثر الوزن بتاع الـ pulley، و
+
+29
+00:03:47,490 --> 00:03:53,970
+في رد الفعل، عندي N.
+
+30
+00:04:03,390 --> 00:04:09,290
+طبعاً في عندي كتلة B، و كتلة A. نقدر نعرف في
+
+31
+00:04:09,290 --> 00:04:17,470
+اتجاه الدوران 100%، يعني إذا ضربت لحظاتي، ستة في عشرة
+
+32
+00:04:17,470 --> 00:04:23,130
+كم؟ تعطيني 60، وعشرة في خمسة 50. مع أنتو
+
+33
+00:04:23,130 --> 00:04:31,390
+هتلف باتجاه الـ B، يعني هذا هتكون اتجاه الحركة الآن.
+
+34
+00:05:24,740 --> 00:05:33,620
+نتيجة الـ forces، هيتحرك النظام، هيكون عندي هين، بيلو
+
+35
+00:05:33,620 --> 00:05:45,160
+acceleration aB اللي هي WB على g في الـ aB
+
+36
+00:05:45,160 --> 00:05:50,100
+وعندي هين، هيكون اللي أعلى WA
+
+37
+00:05:50,100 --> 00:05:59,760
+على g في الـ aA. لأن
+
+38
+00:05:59,760 --> 00:06:04,180
+مركز ثقل للبولي، ما فيش الـ explanation، لكن في
+
+39
+00:06:04,180 --> 00:06:10,560
+rotation، هيكون في عندي I.
+
+40
+00:06:10,560 --> 00:06:15,020
+للبولي في α للبولي.
+
+41
+00:06:30,120 --> 00:06:44,100
+طيب، لو أخدت الـ moment حوالي نقطة C بعكس
+
+42
+00:06:44,100 --> 00:06:52,080
+عقارب الساعة، باستخدام موجب بتساوي MC effective moment حوالي
+
+43
+00:06:52,080 --> 00:06:56,960
+MC عندي.
+
+44
+00:07:00,510 --> 00:07:08,750
+WB فيها كام؟ فيه ستة انش، صح؟ ستة WB
+
+45
+00:07:08,750 --> 00:07:12,130
+ناقص
+
+46
+00:07:12,130 --> 00:07:28,310
+عشرة WA في
+
+47
+00:07:28,310 --> 00:07:35,690
+أي فرصة ثانية moment؟ لأ، بالساوية عند
+
+48
+00:07:35,690 --> 00:07:43,650
+الـ Ipulley α للـ pulley. فعندي
+
+49
+00:07:43,650 --> 00:07:48,610
+الـ inertia بتاعة
+
+50
+00:07:48,610 --> 00:07:54,510
+الـ pulley. الـ moment ليه قيمتها ستة
+
+51
+00:07:57,270 --> 00:08:06,810
+زائد ستة W للبولي على g في الـ a للبولي، زائد
+
+52
+00:08:06,810 --> 00:08:20,910
+عشرة WA في الـ aA، مظبوط؟
+
+53
+00:08:20,910 --> 00:08:25,970
+طيب الآن
+
+54
+00:08:27,830 --> 00:08:32,670
+في علاقة بين الـ aB و الـ angular acceleration
+
+55
+00:08:32,670 --> 00:08:41,970
+للبولي، في الـ aB، ايش يساوي a
+
+56
+00:08:41,970 --> 00:08:49,910
+B acceleration، aB tangential. ما هي الـ aB عبارة
+
+57
+00:08:49,910 --> 00:08:53,910
+عن الـ a tangential عند النقطة هذه، صح؟ هتساوي ايش؟
+
+58
+00:08:53,910 --> 00:09:05,980
+الـ α في ستة. ستة α للبولي، و الـ aA تساوي
+
+59
+00:09:05,980 --> 00:09:09,560
+عشرة α
+
+60
+00:09:09,560 --> 00:09:18,120
+للبولي. نعوض هنا، عندي الستة، الـ W بتاعة الـ B عشرة
+
+61
+00:09:18,120 --> 00:09:28,180
+ناقص عشرة WA، الخمسة، بتساوي الـ Ipulley معروفة
+
+62
+00:09:28,180 --> 00:09:32,860
+عندنا بس
+
+63
+00:09:32,860 --> 00:09:38,280
+ماعطينا معلومات عشان نحسب الـ Ipulley، ما أعطينا
+
+64
+00:09:38,280 --> 00:09:42,060
+الـ radius of gyration. صحيح، طيب، معنى الـ I بتاعة
+
+65
+00:09:42,060 --> 00:09:46,760
+الـ pulley شو يساوي؟ K
+
+66
+00:09:46,760 --> 00:09:54,780
+تربيع في m، m K تربيع، كتلة
+
+67
+00:09:56,880 --> 00:10:07,920
+ايش هو redistribution؟ إذا عندي جسم يدور، أو
+
+68
+00:10:07,920 --> 00:10:10,140
+اش.. ايش تعرف الكتلة الخطية؟ الكتلة الخطية؟
+
+69
+00:10:10,140 --> 00:10:17,620
+الكتلة هي قياس لصعوبة
+
+70
+00:10:17,620 --> 00:10:18,280
+المقاومة.
+
+71
+00:10:20,690 --> 00:10:26,190
+عشان أعمل إيقاف لجسم من سرعة بدائية V لسرعة نهائية
+
+72
+00:10:26,190 --> 00:10:33,070
+صفر، إذا كانت كتلة كبيرة، بتكون أصعب إيقافها من كتلة
+
+73
+00:10:33,070 --> 00:10:37,770
+أصغر. هذا في اتجاه الخط. الآن، الـ moment of
+
+74
+00:10:37,770 --> 00:10:45,020
+inertia هي قياس لصعوبة إعاقة الدوران، بكون الجسم
+
+75
+00:10:45,020 --> 00:10:51,360
+يدور بسرعة ابتدائية أوميغا O، بسرعة ابتدائية صفر. الـ I
+
+76
+00:10:51,360 --> 00:10:54,400
+قياس للصعوبة، ففي moment of inertia، ممانعة دورانية
+
+77
+00:10:54,400 --> 00:11:04,540
+ممانعة دورانية لأي جسم، أنا ممكن أركز كتلته، أخلي
+
+78
+00:11:04,540 --> 00:11:07,260
+مثلاً كتلة، الـ density مثلاً infinite، أركز كتلته
+
+79
+00:11:07,260 --> 00:11:13,630
+بنقطة، بنقطة وكأنه حبل، اللي أنا همسكه، هي حبل
+
+80
+00:11:13,630 --> 00:11:19,290
+وهي الكتلة M، وهي
+
+81
+00:11:19,290 --> 00:11:26,250
+بتلف، والجسم الأصلي بيدور زي هيك. هذا equivalent لهذا.
+
+82
+00:11:26,250 --> 00:11:32,610
+إذا كتلة مركزة، بتبعد مسافة K، بتكون I تعطيها ايش؟
+
+83
+00:11:32,610 --> 00:11:40,780
+تساوي M في K تربيع، اللي هي I تعطيها، اللي هو الـ K هو
+
+84
+00:11:40,780 --> 00:11:44,400
+نصف قطر الجاذبية، نصف قطر الجاذبية، radius of gyration.
+
+85
+00:11:44,400 --> 00:11:49,920
+معناته الـ I هتكون تساوي M K تربيع. هتكون الـ math
+
+86
+00:11:49,920 --> 00:11:59,940
+بتاعة الـ pulley، اللي هي 12 على 2.75 و
+
+87
+00:11:59,940 --> 00:12:07,840
+2 من 10 في الـ K عندي 8 على 12 تربيع.
+
+88
+00:12:10,260 --> 00:12:19,260
+خير ايه تاعة البولي؟ ناقص ايه تاعة البولي؟ في
+
+89
+00:12:19,260 --> 00:12:27,360
+الـ α تاعة البولي، زائد ستة WB، اللي هي عشرة على
+
+90
+00:12:27,360 --> 00:12:34,020
+32.2، pounds. بس انتبه اللي أنا عندي
+
+91
+00:12:34,020 --> 00:12:39,540
+هنا الوحدات، هذا هيكون على 12 عشان نحول لقدم. هذا
+
+92
+00:12:39,540 --> 00:12:48,540
+على 12، لأن هنا استخدمت ايش؟ هنا قدم.
+
+93
+00:12:48,540 --> 00:12:58,700
+ازاي في aB، اللي هي حكينا aB عبارة عن ايش اللي
+
+94
+00:12:58,700 --> 00:13:08,750
+هي نص في α بتاعة الـ pulley، زائد
+
+95
+00:13:08,750 --> 00:13:21,510
+زائد
+
+96
+00:13:21,510 --> 00:13:29,510
+عشرة على 12 الـ WA، اللي هي خمسة على 32.2، و
+
+97
+00:13:29,510 --> 00:13:35,850
+30.2. الـ aA اللي هي عشرة على 12
+
+98
+00:13:35,850 --> 00:13:44,350
+الـ α، بكام طلعت الـ IB؟ 0.16. 0.16، يعني في لغزين سفر؟ لأ، واحد. واحد، ستة. واحد،
+
+99
+00:13:44,350 --> 00:13:49,130
+ستة. كم الرقم؟ فمس، فمس اللي هتكون pound force.
+
+100
+00:13:49,130 --> 00:13:56,750
+كم الرقم؟ فمس اللي هتكون pound force.
+
+101
+00:14:00,560 --> 00:14:09,400
+عندنا pound force على foot per second square في
+
+102
+00:14:09,400 --> 00:14:13,360
+foot square، يعني هتكون في 0.16، 5.
+
+103
+00:14:13,360 --> 00:14:16,680
+pound force foot
+
+104
+00:14:16,680 --> 00:14:21,700
+second square.
+
+105
+00:14:21,700 --> 00:14:23,800
+second square.
+
+106
+00:14:28,720 --> 00:14:37,280
+يعني أحكي أن دي، هين، خلينا نضرب الطرفين بـ 12، هتروح
+
+107
+00:14:37,280 --> 00:14:49,780
+لـ 12. هذه، هذه، و هذه، و هذه، 12، صح؟ يعني أحكي أن
+
+108
+00:14:49,780 --> 00:14:54,420
+ستة في عشرة، 60، بتساوي
+
+109
+00:14:54,420 --> 00:15:07,350
+12 IB اللي هي 0.165، زائد
+
+110
+00:15:07,350 --> 00:15:11,690
+30
+
+111
+00:15:11,690 --> 00:15:21,030
+على 32.2، و عشرة زائد
+
+112
+00:15:21,030 --> 00:15:24,550
+50
+
+113
+00:15:26,710 --> 00:15:33,590
+على 12 في 32.2 من عشرة، كله في
+
+114
+00:15:33,590 --> 00:15:49,110
+αP، ومنه بحسب الـ αP. هذا
+
+115
+00:15:49,110 --> 00:15:53,490
+المطلوب الأول. المطلوب الثاني، the acceleration of
+
+116
+00:15:53,490 --> 00:15:57,990
+each block. خلاص بقى، أنا حكيت الـ aB، ومعرفتي الـ
+
+117
+00:15:57,990 --> 00:16:06,010
+αB، بحسب الـ aA، بتساوي عشرة على 12 في αB
+
+118
+00:16:06,010 --> 00:16:12,890
+، اللي أنا حسبتها. و aB بتساوي نص في αB
+
+119
+00:16:12,890 --> 00:16:17,270
+اللي حسبتها. اتنين
+
+120
+00:16:28,660 --> 00:16:47,900
+radian per second square، كم
+
+121
+00:16:47,900 --> 00:16:48,720
+تطلع هنا؟
+
+122
+00:16:53,430 --> 00:17:02,030
+وهنا 1.185
+
+123
+00:17:02,030 --> 00:17:05,870
+ماشي،
+
+124
+00:17:05,870 --> 00:17:06,750
+في سؤال؟
+
+125
+00:17:36,220 --> 00:17:42,720
+طيب، أشوف مثال ثاني. a cord is wrapped around a
+
+126
+00:17:42,720 --> 00:17:48,460
+homogeneous disk of mass 15 kilogram. الـ disk هذا
+
+127
+00:17:48,460 --> 00:17:53,900
+كتلته 15
+
+128
+00:17:53,900 --> 00:17:56,400
+kilogram.
+
+129
+00:17:59,340 --> 00:18:03,440
+the cord is pulled upward with a force T. لأن ده
+
+130
+00:18:03,440 --> 00:18:11,900
+حبل ملفوف حوالين الـ disk، وسحبته بقوة T. T 780
+
+131
+00:18:11,900 --> 00:18:17,880
+نيوتن. determine the acceleration of the
+
+132
+00:18:17,880 --> 00:18:23,240
+center of the disk. هاي
+
+133
+00:18:23,240 --> 00:18:28,620
+عندي أنا الـ disk، الـ force بتأثر عليه اللي هو وزنه
+
+134
+00:18:32,960 --> 00:18:38,800
+MG، والشد T.
+
+135
+00:19:08,580 --> 00:19:13,960
+in the teacher forces. هادي
+
+136
+00:19:13,960 --> 00:19:19,820
+هيكون عندي
+
+137
+00:19:19,820 --> 00:19:26,040
+حول المركز، I في α، و
+
+138
+00:19:26,040 --> 00:19:26,640
+M في a.
+
+139
+00:20:02,980 --> 00:20:10,300
+طيب، نتيجة الـ force، الشد والوزن، حيصير acceleration
+
+140
+00:20:10,300 --> 00:20:14,400
+لمركز الثقل، حيصير الـ rotation حوالي مركز الثقل.
+
+141
+00:20:14,400 --> 00:20:20,580
+معناته لو أخدت summation of the forces باتجاه
+
+142
+00:20:20,580 --> 00:20:24,680
+الـ Y بيساوي
+
+143
+00:20:24,680 --> 00:20:37,500
+M aY. اتجاه الـ Y عندي T ناقص MG بتساوي
+
+144
+00:20:37,500 --> 00:20:45,240
+M في a، صح؟ يعني
+
+145
+00:20:45,240 --> 00:20:57,720
+الـ a هتكون T على M ناقص G، صح؟ الـ T اللي هي 780، و
+
+146
+00:20:57,720 --> 00:21:10,300
+الـ M 15، ناقص 9.8، 5.2 m/s².
+
+147
+00:21:10,300 --> 00:21:23,000
+طيب، ع كام؟ m/s².
+
+148
+00:21:23,000 --> 00:21:23,700
+m/s².
+
+149
+00:21:33,830 --> 00:21:42,670
+طيب، نحسب الـ α. هناخد الـ moment حول G. مازال
+
+150
+00:21:42,670 --> 00:21:53,870
+حول الـ moment، summation الـ moment حول G، هتكون
+
+151
+00:21:53,870 --> 00:21:57,470
+تساوي طبعاً الحالة هذه، I في α، لأن هو حول G.
+
+152
+00:21:57,470 --> 00:21:58,070
+ما أخذتها أنا.
+
+153
+00:22:02,710 --> 00:22:07,890
+هذه disk، disk، ايش الـ.. المهم أنت بتجيبها من
+
+154
+00:22:07,890 --> 00:22:16,330
+الجداول اللي عايشة. التساوية دي
+
+155
+00:22:16,330 --> 00:22:26,330
+disk هتشوف الجداول في الكتاب، نص M R تربيع. هتكون نص
+
+156
+00:22:26,330 --> 00:22:29,110
+في
+
+157
+00:22:30,880 --> 00:22:44,040
+الـ M اللي هي 15 في الـ R اللي هي 0.5 تربيع، واحد
+
+158
+00:22:44,040 --> 00:22:49,660
+.875 كيلوجرام
+
+159
+00:22:49,660 --> 00:22:54,860
+متر مربع. يعني
+
+160
+00:22:54,860 --> 00:22:58,960
+إذا كان لدي الـ M G هتكون
+
+161
+00:22:58,960 --> 00:23:00,420
+نص في T، مظبوط؟
+
+162
+00:23:05,350 --> 00:23:12,210
+بتساوي I اللي هو 1.875 في
+
+163
+00:23:12,210 --> 00:23:24,330
+الـ α. معناته الـ α هتساوي نص في 780 على
+
+164
+00:23:24,330 --> 00:23:30,650
+1.875
+
+165
+00:23:30,650 --> 00:23:30,930
+و 40
+
+166
+00:23:34,780 --> 00:23:41,340
+radian per second squared. هذا
+
+167
+00:23:41,340 --> 00:23:49,920
+المطلوب الأول، والثاني، بدنا
+
+168
+00:23:49,920 --> 00:23:57,480
+linear and angular velocities of the sphere. بدنا
+
+169
+00:23:57,480 --> 00:24:00,280
+acceleration of the chord.
+
+170
+00:24:05,140 --> 00:24:07,060
+الـ acceleration بتاعة الـ chord ايش هتكون تساوي؟
+
+171
+00:24:07,060 --> 00:24:12,640
+الـ a بتاعة الـ chord هتكون تساوي aG. هاد الـ
+
+172
+00:24:12,640 --> 00:24:15,320
+immediate اللي هو كان second، اللي قال أنا هتكون
+
+173
+00:24:15,320 --> 00:24:20,220
+عندي aG هو برضه، واقع أنا على الـ disk، هتكون
+
+174
+00:24:20,220 --> 00:24:27,980
+تساوي كـ vector، aG زائد
+
+175
+00:24:27,980 --> 00:24:32,940
+aG بالنسب لـ a، صح؟
+
+176
+00:24:36,030 --> 00:24:45,730
+يعني هتكون الـ aG اللي هي كام؟ 2.194
+
+177
+00:24:45,730 --> 00:24:50,010
+meter per second square، واتجاه الأعلى.
+
+178
+00:24:50,010 --> 00:24:54,110
+جاي، صح؟ زائد
+
+179
+00:24:54,110 --> 00:24:57,150
+الـ
+
+180
+00:24:57,150 --> 00:25:02,770
+aG في الـ a غلط، هذا
+
+181
+00:25:05,650 --> 00:25:12,330
+aA بالنسبة لـ G، صح؟
+
+182
+00:25
+
+223
+00:30:18,930 --> 00:30:26,350
+إيش هي القوة المؤثرة؟ اللي هو هيكون فيه الوزن MG
+
+224
+00:30:26,350 --> 00:30:38,340
+وفيه رد الفعل من الأرض، وفي الاحتكاك ميو كي في ان
+
+225
+00:30:38,340 --> 00:30:41,620
+بتساوي
+
+226
+00:30:41,620 --> 00:30:45,220
+ابراهيم
+
+227
+00:30:45,220 --> 00:30:51,540
+خليك معانا، بتساوي
+
+228
+00:30:51,540 --> 00:30:55,760
+نتيجة
+
+229
+00:30:55,760 --> 00:30:56,060
+هذه
+
+230
+00:30:59,570 --> 00:31:09,830
+حاسيلا دي rolling في I في Alpha وفي acceleration M
+
+231
+00:31:09,830 --> 00:31:15,290
+في A لمركز الثقل. لو
+
+232
+00:31:15,290 --> 00:31:19,650
+حكيت هاي ال X وهي
+
+233
+00:31:19,650 --> 00:31:22,070
+ال Y
+
+234
+00:31:27,860 --> 00:31:35,160
+طيب، في حركة باتجاه ال y-axis، لأ، مناعة summation لل
+
+235
+00:31:35,160 --> 00:31:43,180
+forces باتجاه ال Y بيساوي صفر. صح، بتساوي اللي هي N
+
+236
+00:31:43,180 --> 00:31:55,160
+ناقص MG. مناعة ال N بيساوي ال MG باتجاه
+
+237
+00:31:55,160 --> 00:32:03,400
+ال X. summation لل forces باتجاه ال X بيساوي
+
+238
+00:32:03,400 --> 00:32:23,060
+M X باتجاه ال X. إيش عنده؟ أنا أحكي اتجاه الموجب، خلّي
+
+239
+00:32:23,060 --> 00:32:26,640
+X. مش مشكلة، أنا أحكي الموجب في هذا الاتجاه. أحكي
+
+240
+00:32:26,640 --> 00:32:27,360
+عنده Mu K
+
+241
+00:32:31,430 --> 00:32:46,950
+ن بيساوي M في A. ال N اللي هي إيش؟ M في G. معناته
+
+242
+00:32:46,950 --> 00:32:57,630
+ال A بيساوي ميو كي في G. طيب
+
+243
+00:33:02,440 --> 00:33:08,060
+هآخذ ال moment حول ال G. صمياشين للمoment حول
+
+244
+00:33:08,060 --> 00:33:20,360
+ال G بيساوي I في Alpha. يعني
+
+245
+00:33:20,360 --> 00:33:23,380
+أنا هيكون عندي، هتروح ال M G و ال N. هيكون U K في N
+
+246
+00:33:23,380 --> 00:33:28,800
+صح؟ U K في N بتساوي
+
+247
+00:33:33,780 --> 00:33:39,940
+في ال radius. صحيح، you can في ال radius بتساوي
+
+248
+00:33:39,940 --> 00:33:47,100
+I في Alpha. طيب
+
+249
+00:33:47,100 --> 00:33:51,960
+الكورة
+
+250
+00:33:51,960 --> 00:33:59,280
+إيه ال moment initial الكورة؟ ال
+
+251
+00:33:59,280 --> 00:34:01,900
+discs. نص M R square. هذه كورة
+
+252
+00:34:05,210 --> 00:34:08,890
+دوروا عليها، هتلوها. اتنين على خمسة mr square. ال I
+
+253
+00:34:08,890 --> 00:34:13,890
+للكورة. اتنين
+
+254
+00:34:13,890 --> 00:34:26,410
+على خمسة mr square. يعني هنا هنعوض عن N. ميو كيه ال
+
+255
+00:34:26,410 --> 00:34:30,470
+N اللي هي mg في
+
+256
+00:34:30,470 --> 00:34:38,410
+R بيساوي ال I اللي هي اتنين على خمسة
+
+257
+00:34:38,410 --> 00:34:50,150
+M R تربيع في الألفا. يعني
+
+258
+00:34:50,150 --> 00:34:58,730
+هيروح من عندي هاي M وهاي
+
+259
+00:34:58,730 --> 00:34:59,150
+R
+
+260
+00:35:03,440 --> 00:35:12,140
+بتصفح ال alpha هتكون
+
+261
+00:35:12,140 --> 00:35:23,260
+خمسة على اتنين. خمسة على اتنين ميو ك جي على ار. ميو
+
+262
+00:35:23,260 --> 00:35:28,600
+ك جي
+
+263
+00:35:28,600 --> 00:35:31,220
+على ار. هذه ال alpha
+
+264
+00:35:51,040 --> 00:35:58,040
+طيب، لأن هو بدأ بسرعة ابتدائية، إيش V
+
+265
+00:35:58,040 --> 00:36:03,620
+naught. ال
+
+266
+00:36:03,620 --> 00:36:13,730
+time at T equal T واحد. الـ V الصراحة هتكون قيمتها V
+
+267
+00:36:13,730 --> 00:36:25,270
+واحد. والـ Omega في دوران، صح؟ هتكون Omega واحد. لو
+
+268
+00:36:25,270 --> 00:36:34,230
+ندرس الحركة الانتقالية، هكون عنده V بيساوي
+
+269
+00:36:34,230 --> 00:36:37,870
+V Note زائد A في T
+
+270
+00:36:49,200 --> 00:36:57,960
+يعني ال V هتكون V واحد. so V node. طب أنا ماشي زي
+
+271
+00:36:57,960 --> 00:37:04,260
+هيك، صح؟ و ال acceleration هيك، هتكون، هتكون اتشملت
+
+272
+00:37:04,260 --> 00:37:12,900
+بالسبب، بالسبب ناقص ال A اللي هي Mu KG في
+
+273
+00:37:12,900 --> 00:37:13,540
+T واحد
+
+274
+00:37:21,620 --> 00:37:27,100
+هذه جزئية ال translation. جزئية ال rotation هيكون
+
+275
+00:37:27,100 --> 00:37:37,740
+عندي omega، بس omega node زائد alpha T. يعني هتكون
+
+276
+00:37:37,740 --> 00:37:44,280
+عندي omega واحد. omega node كم كان في الأول؟ صفر
+
+277
+00:37:44,280 --> 00:37:47,620
+زائد alpha
+
+278
+00:37:50,460 --> 00:37:54,940
+خمسة ع اتنين U
+
+279
+00:37:54,940 --> 00:38:03,640
+K G على R في T واحد. لأن
+
+280
+00:38:03,640 --> 00:38:09,420
+حكينا T اللي هو ال time. T واحد. تبدأ
+
+281
+00:38:09,420 --> 00:38:14,800
+الكرة تتدحرج بدون انزلاق. معناته إذا عندي pure
+
+282
+00:38:14,800 --> 00:38:20,280
+rolling، بتكون نقطة تماث سرعة إيش؟ بتكون ساوية صفر
+
+283
+00:38:20,280 --> 00:38:30,740
+في الحالة هذه. at the instant of
+
+284
+00:38:30,740 --> 00:38:36,180
+pure rolling. يعني
+
+285
+00:38:36,180 --> 00:38:36,800
+مافيش sliding
+
+286
+00:38:43,790 --> 00:38:52,190
+بتكون عنده اللي هو point of
+
+287
+00:38:52,190 --> 00:38:56,910
+contact has
+
+288
+00:38:56,910 --> 00:39:00,150
+zero
+
+289
+00:39:00,150 --> 00:39:07,150
+velocity. الحالة هذه بتكون عند V تاعت مركز الثقل
+
+290
+00:39:07,150 --> 00:39:09,370
+V1
+
+291
+00:39:10,380 --> 00:39:16,840
+بتساوي Omega واحد في R. يعني
+
+292
+00:39:16,840 --> 00:39:24,680
+هذا هنعود. V واحد بتساوي Omega واحد. هذا بيصير Omega
+
+293
+00:39:24,680 --> 00:39:39,260
+واحد R بتساوي V naught ناقص Mu K G T واحد. Omega
+
+294
+00:39:39,260 --> 00:39:45,590
+واحد بتساوي. هذا لأ. حسينا عندي هعود فيها دي هكون
+
+295
+00:39:45,590 --> 00:39:53,130
+عندي omega واحد اللي هي خمسة على اتنين ميو كي جي
+
+296
+00:39:53,130 --> 00:40:07,890
+على ار تي واحد في ار. صح؟ بيساوي V نود ناقص ميو كي
+
+297
+00:40:07,890 --> 00:40:19,700
+جي تي واحد. يعني هتروح عندي، هين R واحد R مع
+
+298
+00:40:19,700 --> 00:40:34,000
+R. إذا بأنقلها ده على جهة التانية، سنة عندي M U K G
+
+299
+00:40:34,000 --> 00:40:37,820
+T
+
+300
+00:40:37,820 --> 00:40:46,770
+واحد في خمسة على اتنين زائد واحد اللي هي واحدة كام؟
+
+301
+00:40:46,770 --> 00:40:55,310
+خمسة اللي هو سبعة على اتنين، صح؟ بتساوي
+
+302
+00:40:55,310 --> 00:41:02,190
+V نود. يعني هذا هتكون سبعة على اتنين. معناته T واحد
+
+303
+00:41:02,190 --> 00:41:20,400
+بتساوي اتنين على سبعة V نود على ميو كي جي. هذا ال
+
+304
+00:41:20,400 --> 00:41:26,840
+time at which الكورة هتتحرك حركة تدحرجية كاملة بدون
+
+305
+00:41:26,840 --> 00:41:32,460
+أي انزلاق. بدون
+
+306
+00:41:32,460 --> 00:41:34,760
+linear and angular velocities of the sphere at
+
+307
+00:41:34,760 --> 00:41:38,420
+time T1. يعني بده اللي هو V1
+
+308
+00:41:41,460 --> 00:41:47,660
+هذه ال V واحد ماذا يساوي؟ V
+
+309
+00:41:47,660 --> 00:41:59,300
+نود ناقص ميو كي جي في T واحد اللي هي اتنين على
+
+310
+00:41:59,300 --> 00:42:03,420
+سبعة V
+
+311
+00:42:03,420 --> 00:42:09,880
+نود على ميو كي جي
+
+312
+00:42:11,590 --> 00:42:21,950
+يعني هذه بتروح مع هذه. يعني
+
+313
+00:42:21,950 --> 00:42:25,010
+هيكون واحد ناقص، يعني سبعة على سبعة ناقص إنها سبعة
+
+314
+00:42:25,010 --> 00:42:33,330
+خمسة على سبعة. صح؟ يعني V واحد بيساوي خمسة على سبعة
+
+315
+00:42:33,330 --> 00:42:35,790
+V نوت
+
+316
+00:42:41,250 --> 00:42:50,150
+و Omega واحد إيش تساوي؟ V واحد على R. يعني هتكون
+
+317
+00:42:50,150 --> 00:43:07,910
+تساوي خمسة على سبعة V node على R. في
+
+318
+00:43:07,910 --> 00:43:08,550
+أي سؤال؟
+
+319
+00:43:11,960 --> 00:43:16,220
+ال ديناميكا كلها مثلها واحدة، كل ديناميكا، افهم
+
+320
+00:43:16,220 --> 00:43:20,560
+physics بتاعت المثل، نمذجها صح، بيصير ما بعديك
+
+321
+00:43:20,560 --> 00:43:24,460
+يعني حل تقليدي، المحاضرة الجاية بنكمل
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VpJUR7mrDTA_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VpJUR7mrDTA_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a2e242c25c6576a50ec63c824e9294c82fb77234
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VpJUR7mrDTA_postprocess.srt
@@ -0,0 +1,1284 @@
+1
+00:00:05,010 --> 00:00:07,910
+طيب بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,910 --> 00:00:12,290
+وبركاته هنكمل في مادة الديناميكا محاضرة فاتت بدنا
+
+3
+00:00:12,290 --> 00:00:16,030
+نحكي عن kinetics of rigid bodies هكذا فزينا two
+
+4
+00:00:16,030 --> 00:00:19,650
+equations summation of force بسوء MA و summation
+
+5
+00:00:19,650 --> 00:00:23,230
+of moments حوالين ال center of gravity بسوء I في
+
+6
+00:00:23,230 --> 00:00:28,510
+Alpha اليوم حلينا two examples اليوم هنكمل هنهل
+
+7
+00:00:28,510 --> 00:00:32,190
+مجموعة جدا من ال examples فعند أبولي weighing
+
+8
+00:00:32,190 --> 00:00:42,000
+twelve poundوزن البولي 12 pound and
+
+9
+00:00:42,000 --> 00:00:44,880
+having a radius of gyration of eight inch و ال K
+
+10
+00:00:44,880 --> 00:00:55,320
+بتاعتها اتنين انش تمانية
+
+11
+00:00:55,320 --> 00:01:00,020
+انش is
+
+12
+00:01:00,020 --> 00:01:05,670
+connected to blocks as shownعند ال block A قعد ال
+
+13
+00:01:05,670 --> 00:01:14,630
+pulley و W A بتساوي خمسة pound و
+
+14
+00:01:14,630 --> 00:01:25,110
+W B عشرة pound determine
+
+15
+00:01:25,110 --> 00:01:27,550
+the angular acceleration of the pulley بدنا نحسب
+
+16
+00:01:27,550 --> 00:01:31,270
+العجل الزاوية لل pulley
+
+17
+00:01:43,310 --> 00:01:46,630
+انا هعمل free pedagram ممكن اعمل اخد ال system كله
+
+18
+00:01:46,630 --> 00:01:55,290
+مع بعضه او اخد الجسم A لحاله و الجسم B لحاله و ال
+
+19
+00:01:55,290 --> 00:02:01,330
+poly لحاله بيصير او اخده لان اذا خاتم مع بعضه ال
+
+20
+00:02:01,330 --> 00:02:05,930
+tension بيبينش فهاخد كل المجموعة هاخد ال free
+
+21
+00:02:05,930 --> 00:02:11,510
+pedagram لل system ك free pedagram هيكون ان دي
+
+22
+00:02:11,510 --> 00:02:12,930
+بيأثر
+
+23
+00:02:16,220 --> 00:02:23,060
+wa وعندي wb
+
+24
+00:02:23,060 --> 00:02:32,120
+هد بي هد ايه
+
+25
+00:02:32,120 --> 00:02:36,520
+هد بي هد ايه
+
+26
+00:03:01,670 --> 00:03:27,890
+هذا نقطة C هذا
+
+27
+00:03:27,890 --> 00:03:31,150
+عشرة انش واحدة
+
+28
+00:03:38,090 --> 00:03:47,490
+ستانش فيطاب مرضه بيأثر الوزن بتاع ال pulley و
+
+29
+00:03:47,490 --> 00:03:53,970
+في رد الفعل عندي N
+
+30
+00:04:03,390 --> 00:04:09,290
+طبعا في عندين كتلة بي و كتلة ايه نقدر نعرف في
+
+31
+00:04:09,290 --> 00:04:17,470
+اتجاه الدوران 100% يعني اذا ضربت حكاتي ستة في عشرة
+
+32
+00:04:17,470 --> 00:04:23,130
+كم تعطيين ايه ستين وعشرة في خمسة خمسين مع انتوا
+
+33
+00:04:23,130 --> 00:04:31,390
+هتلف باتجاه ال بي يعني هدا هتكون اتجاه الحركة الآن
+
+34
+00:05:24,740 --> 00:05:33,620
+نتيجة ال forces هيتحرك النظام هكون عندي هين بيلو
+
+35
+00:05:33,620 --> 00:05:45,160
+أكسلراشن م م بي اللي هي و بي على جي في ال a بي
+
+36
+00:05:45,160 --> 00:05:50,100
+وعندي هين هكون اللي أعلى وا
+
+37
+00:05:50,100 --> 00:05:59,760
+على جيفي ال AA لأن
+
+38
+00:05:59,760 --> 00:06:04,180
+مركز ثقة للبوليه مافيش ال explanation لكن في
+
+39
+00:06:04,180 --> 00:06:10,560
+rotation هكون في عندي H I
+
+40
+00:06:10,560 --> 00:06:15,020
+للبوليه في Alpha للبوليه
+
+41
+00:06:30,120 --> 00:06:44,100
+طيب لو أخدت ال moment حوالي نقطة C بعكس
+
+42
+00:06:44,100 --> 00:06:52,080
+عقار باستخدام موجب بتسوء MC effective moment حوالي
+
+43
+00:06:52,080 --> 00:06:56,960
+MC عندي
+
+44
+00:07:00,510 --> 00:07:08,750
+WB فيها كام؟ فيه ستة انش صح؟ ستة WB
+
+45
+00:07:08,750 --> 00:07:12,130
+ناقص
+
+46
+00:07:12,130 --> 00:07:28,310
+عشرة WA في
+
+47
+00:07:28,310 --> 00:07:35,690
+اي فرصة تانية moment؟لأ بالساوية عند
+
+48
+00:07:35,690 --> 00:07:43,650
+ال I poly ألف ال poly فعند
+
+49
+00:07:43,650 --> 00:07:48,610
+ال inertia بتاعة
+
+50
+00:07:48,610 --> 00:07:54,510
+B تم ال moment ليه قيمتها ستة
+
+51
+00:07:57,270 --> 00:08:06,810
+زائد ستة W للبولي على G في ال A للبولي زائد
+
+52
+00:08:06,810 --> 00:08:20,910
+عشرة WA في ال AA مظبوط؟
+
+53
+00:08:20,910 --> 00:08:25,970
+طيب الآن
+
+54
+00:08:27,830 --> 00:08:32,670
+في علاقة بين ال a b و ال angle acceleration
+
+55
+00:08:32,670 --> 00:08:41,970
+للبوليه في ال a b ايش يستوي a
+
+56
+00:08:41,970 --> 00:08:49,910
+b acceleration a b tangential ما هي ال a b عبارة
+
+57
+00:08:49,910 --> 00:08:53,910
+عن ال a tangential عند النقطة هذه صح هتسوى ايه اش
+
+58
+00:08:53,910 --> 00:09:05,980
+الفة في ستةستة الف للبولين وال ا ا سواء
+
+59
+00:09:05,980 --> 00:09:09,560
+عشرة الف
+
+60
+00:09:09,560 --> 00:09:18,120
+للبولين نعوض هنا عند الستة ال W بتاعة ال B عشرة
+
+61
+00:09:18,120 --> 00:09:28,180
+ماينوس عشرة W ال A خمسة بالساويةال اي بولي معروف
+
+62
+00:09:28,180 --> 00:09:32,860
+عنا بس
+
+63
+00:09:32,860 --> 00:09:38,280
+ماعطينا معلومات عشان نحسب ال اي بولي ماعطينا
+
+64
+00:09:38,280 --> 00:09:42,060
+ال rates of generation صحيح طيب معنى ال اي بتاعة
+
+65
+00:09:42,060 --> 00:09:46,760
+ال بولي شو يستوي ك
+
+66
+00:09:46,760 --> 00:09:54,780
+تربيع في ام ام ك تربيع كتلة
+
+67
+00:09:56,880 --> 00:10:07,920
+إيش هو redistribution؟ إذا عندي جسم بدور او
+
+68
+00:10:07,920 --> 00:10:10,140
+اش .. اش تعرف الكتلة الخطية .. الكتلة الخطية؟
+
+69
+00:10:10,140 --> 00:10:17,620
+الكتلة هي قياس لصعوبة
+
+70
+00:10:17,620 --> 00:10:18,280
+المقاومة
+
+71
+00:10:20,690 --> 00:10:26,190
+عشان اعمل ايقاف لجسم من سرعة بدائية v لسرعة نهائية
+
+72
+00:10:26,190 --> 00:10:33,070
+صفر اذا كانت كتلة كبيرة بتكون اصعب ايقافها من كتلة
+
+73
+00:10:33,070 --> 00:10:37,770
+اياش صغيرة هذا في اتجاه الخط الان ال moment of
+
+74
+00:10:37,770 --> 00:10:45,020
+inertia هي قياس لصعوبة إعاقة الدورانبكوان الجسم
+
+75
+00:10:45,020 --> 00:10:51,360
+بدور صورة ابتدائية خمجة O صورة ابتدائية صفر ال I
+
+76
+00:10:51,360 --> 00:10:54,400
+قياس للصعوبة ففي moment of inertia ممانعة دورانية
+
+77
+00:10:54,400 --> 00:11:04,540
+ممانعة دورانية لأي جسم انا ممكن اركز كتلته اخلي
+
+78
+00:11:04,540 --> 00:11:07,260
+مثلا كتافها ال density مثلا infinite اركز كتلته
+
+79
+00:11:07,260 --> 00:11:13,630
+بنقطة بنقطة وكأنه الماء اللي انا هي ماسكهاهي حبل
+
+80
+00:11:13,630 --> 00:11:19,290
+وهي الكتلة M وهي
+
+81
+00:11:19,290 --> 00:11:26,250
+بتلف والجسم الأصل بصحى زي هيك هذا equivalent لهذا
+
+82
+00:11:26,250 --> 00:11:32,610
+إذا كتلة مركزة بتقعد مسافة K بتكون I تعيطها إيش
+
+83
+00:11:32,610 --> 00:11:40,780
+ساوية M في K تربيع اللي هي I تعيطهااللي هو ال K هو
+
+84
+00:11:40,780 --> 00:11:44,400
+نصف قطر الرحة نصف قطر الرحة radius of gyration
+
+85
+00:11:44,400 --> 00:11:49,920
+معناته ال I هتكون سواء M K تربيع هتكون ال math
+
+86
+00:11:49,920 --> 00:11:59,940
+بتاعة ال poly ال هي اتناش على اتنين و تلتين و
+
+87
+00:11:59,940 --> 00:12:07,840
+اتنين من عشرة في ال K عندي تمانية على اتناش تربيع
+
+88
+00:12:10,260 --> 00:12:19,260
+خير ايه تاعة البولي؟ ناقص ايه تاعة البولي؟ في
+
+89
+00:12:19,260 --> 00:12:27,360
+الالفة تاعة البولي زائد ستة WB اللي هي عشرة على
+
+90
+00:12:27,360 --> 00:12:34,020
+اتنين و تلاتين بونت اتنين بس انتبه اللي انا عندي
+
+91
+00:12:34,020 --> 00:12:39,540
+هناالوحدات هذا هتكون على اتناش عشان نحول لقدم هذا
+
+92
+00:12:39,540 --> 00:12:48,540
+على اتناش لان هنا استخدمت ايش هنا قدم
+
+93
+00:12:48,540 --> 00:12:58,700
+ازاي في a b اللي هي حكينا a b عبارة عن ليش اللي
+
+94
+00:12:58,700 --> 00:13:08,750
+هي نص في نصالفة بتاعة ال poly زائد
+
+95
+00:13:08,750 --> 00:13:21,510
+زائد
+
+96
+00:13:21,510 --> 00:13:29,510
+عشر على اتناش ال WA اللي هي خمسة على اتنين و
+
+97
+00:13:29,510 --> 00:13:35,850
+تلاتين و اتنين من عشرةالـ a a اللي عشرة على اتناش
+
+98
+00:13:35,850 --> 00:13:44,350
+الف بى اكم طلعت ال I B؟ O point ستة عشر O point
+
+99
+00:13:44,350 --> 00:13:49,130
+ستة عشر يعني في لغزين سفر؟ لا واحد واحد ستة واحد
+
+100
+00:13:49,130 --> 00:13:56,750
+ستة كم الرقم؟ فمس فمس اللي هتكون pound force
+
+101
+00:14:00,560 --> 00:14:09,400
+عندين pound force على foot per second square في
+
+102
+00:14:09,400 --> 00:14:13,360
+foot square يعني هتكون في sub point واحد، ستة،
+
+103
+00:14:13,360 --> 00:14:16,680
+خمسة
+
+104
+00:14:16,680 --> 00:14:21,700
+pound force foot
+
+105
+00:14:21,700 --> 00:14:23,800
+second square
+
+106
+00:14:28,720 --> 00:14:37,280
+يعني احكوا ان دي هين خينا اضغط الطرفين ب 12 هتروح
+
+107
+00:14:37,280 --> 00:14:49,780
+ل 12 هذي هذي و هذي و هذي اتناش صح؟ يعني احكوا ان
+
+108
+00:14:49,780 --> 00:14:54,420
+ستة فعشرة ستين بالساوة
+
+109
+00:14:54,420 --> 00:15:07,350
+اتناش I Bاللي هي point واحد ستة خمسة زائد
+
+110
+00:15:07,350 --> 00:15:11,690
+تلاتين
+
+111
+00:15:11,690 --> 00:15:21,030
+على اتنين و تلاتين و اتنين و عشرة زائد
+
+112
+00:15:21,030 --> 00:15:24,550
+خمسمية
+
+113
+00:15:26,710 --> 00:15:33,590
+على اتناش في اتنين و تلاتين اتنين من عشرة كله في
+
+114
+00:15:33,590 --> 00:15:49,110
+alpha P ومنه بحسب ال alpha P هذا
+
+115
+00:15:49,110 --> 00:15:53,490
+المطلوب الأول المطلوب التاني the acceleration of
+
+116
+00:15:53,490 --> 00:15:57,990
+each blockخلاص بقى انا حكيت ال a,b وما تعرفتي ال
+
+117
+00:15:57,990 --> 00:16:06,010
+alpha,b بحسب ال a,a بالسواء عشر على اتناش في alpha
+
+118
+00:16:06,010 --> 00:16:12,890
+,b اللي انا حسبتها و a,b بالسواء نص في alpha,b
+
+119
+00:16:12,890 --> 00:16:17,270
+اللي حسبتها اتنين
+
+120
+00:16:28,660 --> 00:16:47,900
+radian per second square كم
+
+121
+00:16:47,900 --> 00:16:48,720
+تطلع هنا؟
+
+122
+00:16:53,430 --> 00:17:02,030
+و هنا واحد point واحد تمانية خمسة
+
+123
+00:17:02,030 --> 00:17:05,870
+ماشي،
+
+124
+00:17:05,870 --> 00:17:06,750
+فيا سؤال؟
+
+125
+00:17:36,220 --> 00:17:42,720
+طيب اشوف مثال تاني a cord is wrapped around a
+
+126
+00:17:42,720 --> 00:17:48,460
+homogeneous disk of mass 15 kilogram ال disk هذا
+
+127
+00:17:48,460 --> 00:17:53,900
+كتلته خمس
+
+128
+00:17:53,900 --> 00:17:56,400
+عشر kilogram
+
+129
+00:17:59,340 --> 00:18:03,440
+the cord is pulled upward with a force T لأن ده
+
+130
+00:18:03,440 --> 00:18:11,900
+حابب ملفوف حوالين ال disk و سحبته بقوة T T سبعمية
+
+131
+00:18:11,900 --> 00:18:17,880
+و تمانين نيوتن determine the acceleration of the
+
+132
+00:18:17,880 --> 00:18:23,240
+center of the disk هاي
+
+133
+00:18:23,240 --> 00:18:28,620
+عندي انا ال disk ال force بتأثر عليه اللي هو وزنه
+
+134
+00:18:32,960 --> 00:18:38,800
+مج والشد ت
+
+135
+00:19:08,580 --> 00:19:13,960
+in the teacher forces ها دي
+
+136
+00:19:13,960 --> 00:19:19,820
+هكون عند اي
+
+137
+00:19:19,820 --> 00:19:26,040
+حول المركز اي في الف و
+
+138
+00:19:26,040 --> 00:19:26,640
+ام في اي
+
+139
+00:20:02,980 --> 00:20:10,300
+طيب نتيجة ال force الشد و الوزن حيصير acceleration
+
+140
+00:20:10,300 --> 00:20:14,400
+لمركز الثقل و حيصير ال rotation حوالي مركز الثقل
+
+141
+00:20:14,400 --> 00:20:20,580
+معناته لو أخدت summation of the forces باتجاه
+
+142
+00:20:20,580 --> 00:20:24,680
+ال Y بيساوي
+
+143
+00:20:24,680 --> 00:20:37,500
+M A Y اتجاه ال Y عندي H Tminus MG بتساوي
+
+144
+00:20:37,500 --> 00:20:45,240
+M في A صح يعني
+
+145
+00:20:45,240 --> 00:20:57,720
+ال A هتكون T على M ناقص G صح ال T اللي هي مية و
+
+146
+00:20:57,720 --> 00:21:10,300
+تمانينو ال M خمساش ناقص تسعة point تمانية سفر ستة
+
+147
+00:21:10,300 --> 00:21:23,000
+طيب ع كام؟ ten hundred per
+
+148
+00:21:23,000 --> 00:21:23,700
+second square
+
+149
+00:21:33,830 --> 00:21:42,670
+طيب نحسب الألفة هناخد ال moment حوالين G مزال
+
+150
+00:21:42,670 --> 00:21:53,870
+حوالي ال moment summation ال moment حوالين G هتكون
+
+151
+00:21:53,870 --> 00:21:57,470
+سوى طبعا الحالة هذه I في ألفة لأن هو حوالين G
+
+152
+00:21:57,470 --> 00:21:58,070
+ماخدها أنا
+
+153
+00:22:02,710 --> 00:22:07,890
+هذه ديسك، ديسك ايش ال .. المهم انت بتنرش عليه من
+
+154
+00:22:07,890 --> 00:22:16,330
+الجداول اللي عايشه الساوية دي
+
+155
+00:22:16,330 --> 00:22:26,330
+ديسك هتشوف الجداول في الكتاب نص MR تربيع هتكون نص
+
+156
+00:22:26,330 --> 00:22:29,110
+في
+
+157
+00:22:30,880 --> 00:22:44,040
+ال M اللي هي خمستاش في ال R اللي هي نص تربيع واحد
+
+158
+00:22:44,040 --> 00:22:49,660
+فونت كيلوجرام
+
+159
+00:22:49,660 --> 00:22:54,860
+متر مربع يعني
+
+160
+00:22:54,860 --> 00:22:58,960
+اذا كان لدي ال MG هتكون
+
+161
+00:22:58,960 --> 00:23:00,420
+نص في T مظبوط
+
+162
+00:23:05,350 --> 00:23:12,210
+بتساوي I اللي واحد في
+
+163
+00:23:12,210 --> 00:23:24,330
+الف معناته الف هتساوي نص في مية و تمانين على
+
+164
+00:23:24,330 --> 00:23:30,650
+واحد تمانية
+
+165
+00:23:30,650 --> 00:23:30,930
+و اربعين
+
+166
+00:23:34,780 --> 00:23:41,340
+radian per second squared هذا
+
+167
+00:23:41,340 --> 00:23:49,920
+المطلوب الأول و التاني بدوا
+
+168
+00:23:49,920 --> 00:23:57,480
+linear and angular velocities of the sphere بدوا
+
+169
+00:23:57,480 --> 00:24:00,280
+acceleration of the chord
+
+170
+00:24:05,140 --> 00:24:07,060
+ال acceleration بتاعة ال chord ايش هتكون الساوية
+
+171
+00:24:07,060 --> 00:24:12,640
+ال a بتاعة ال chord هتكون الساوية a a هاد ال
+
+172
+00:24:12,640 --> 00:24:15,320
+immediate اللي هو كان second اللي قال انا هتكون
+
+173
+00:24:15,320 --> 00:24:20,220
+عندي a a هو برضه واقع وانا على ال disk هتكون
+
+174
+00:24:20,220 --> 00:24:27,980
+تساوية ك vector a g زائد
+
+175
+00:24:27,980 --> 00:24:32,940
+a g بالنصف ل a صح؟
+
+176
+00:24:36,030 --> 00:24:45,730
+يعني هتكون ال a g اللي هي اكم اتنين point واحد
+
+177
+00:24:45,730 --> 00:24:50,010
+تسعة اربعة meter per second square واتجاه الأعلى
+
+178
+00:24:50,010 --> 00:24:54,110
+جاي صح زائد
+
+179
+00:24:54,110 --> 00:24:57,150
+ال
+
+180
+00:24:57,150 --> 00:25:02,770
+a g في ال ال a غلط هذا
+
+181
+00:25:05,650 --> 00:25:12,330
+A A بالنسبة ل G صح؟
+
+182
+00:25:12,330 --> 00:25:25,130
+هتكون زائد A بالنسبة ل G Normal هكون تجاهها من A ل
+
+183
+00:25:25,130 --> 00:25:29,950
+G هيك اتجاهها مظلوط
+
+184
+00:25:29,950 --> 00:25:33,970
+زائد A
+
+185
+00:25:35,290 --> 00:25:45,530
+A بالنسبة ل G tangential هكون هاي اتجاهها مظبوط
+
+186
+00:25:45,530 --> 00:25:53,330
+كون الساوي اللي هو اتنين meter
+
+187
+00:25:53,330 --> 00:26:02,750
+second square لأعلى حدش في الساوي هادى صفر اللي
+
+188
+00:26:02,750 --> 00:26:11,070
+انا بديها كان السكون هادىصفر لأنه كانت omega صوف
+
+189
+00:26:11,070 --> 00:26:20,130
+صفر زاد صفر زاد ايه بالنسبة لل G التنجين شو ساوي
+
+190
+00:26:20,130 --> 00:26:24,630
+Alpha في
+
+191
+00:26:24,630 --> 00:26:28,970
+ال A G يعني
+
+192
+00:26:28,970 --> 00:26:32,530
+هتكون نين point واحد تسعة أربع
+
+193
+00:26:36,790 --> 00:26:44,970
+زاد الألفة حسبنا تبانية و أربعين الاج
+
+194
+00:26:44,970 --> 00:26:54,950
+نص صح لأعلى يعني هتكون أربع و عشرين زاد اتنين ستة
+
+195
+00:26:54,950 --> 00:27:01,110
+و عشرين point واحد تسعة أربعة meter per second
+
+196
+00:27:01,110 --> 00:27:04,030
+square لأعلى
+
+197
+00:27:08,470 --> 00:27:13,410
+هذا الجسم بتحرك general plan motion هذا general
+
+198
+00:27:13,410 --> 00:27:17,470
+plan motion بالظبط فيه translation وفيه rotation
+
+199
+00:27:17,470 --> 00:27:25,010
+بنفعش احكي A A A بسوء Alpha في A G لإنه في جزء
+
+200
+00:27:25,010 --> 00:27:28,350
+انتقالي هايو وفي جزء rotation
+
+201
+00:28:10,010 --> 00:28:18,610
+عند سفير كرة كتلتها M و نص كترها R is projected
+
+202
+00:28:18,610 --> 00:28:22,030
+along a rough horizontal surface with a linear
+
+203
+00:28:22,030 --> 00:28:26,690
+velocity V0 عند الكرة تم
+
+204
+00:28:26,690 --> 00:28:33,230
+إلقاها على سطح أفقي خشن بسرعة بدائية V0
+
+205
+00:28:37,320 --> 00:28:41,020
+the coefficient of kinetic friction between the
+
+206
+00:28:41,020 --> 00:28:44,340
+sphere and the surface mu k معامل احتكاك ميكانيكي
+
+207
+00:28:44,340 --> 00:28:55,180
+بين الكرة والسطح mu k مطلوب الأول determine the
+
+208
+00:28:55,180 --> 00:29:00,000
+time t one at which the sphere will start rolling
+
+209
+00:29:00,000 --> 00:29:02,600
+without sliding طبعا أول محدث فيها
+
+210
+00:29:05,260 --> 00:29:08,440
+translation بعدين هتصير .. هتصير عندك انتقال
+
+211
+00:29:08,440 --> 00:29:13,480
+بتحاول يعني بتدور و بتزهلى يعني لحد ما تصنع الدور
+
+212
+00:29:13,480 --> 00:29:17,720
+هتصيرت ده حرج عادي بيصير أيش؟ ففي الأول بيكون في
+
+213
+00:29:17,720 --> 00:29:26,740
+عندك rolling مع sliding rolling مع sliding مازالت
+
+214
+00:29:26,740 --> 00:29:31,060
+ماعندي rolling مع sliding ال ..
+
+215
+00:29:35,540 --> 00:29:41,640
+لينيار موشن مش مرتبطة او فش الاقراض بين ال linear
+
+216
+00:29:41,640 --> 00:29:45,300
+motion ال linear acceleration مع ال angular
+
+217
+00:29:45,300 --> 00:29:48,700
+acceleration مانفحش احكي الله ال a تاعة مارك
+
+218
+00:29:48,700 --> 00:29:56,340
+استقال بيساوي Alpha في R فانا عندى فى البداية كانت
+
+219
+00:29:56,340 --> 00:30:02,200
+فى الفترة الابتدائية فى من فترة ال time 0 لحد ال
+
+220
+00:30:02,200 --> 00:30:06,850
+time T1 كان فى عندىrolling مع sliding rolling مع
+
+221
+00:30:06,850 --> 00:30:13,150
+sliding في الفترة هذه هي
+
+222
+00:30:13,150 --> 00:30:18,930
+الكورة إيش هكون خلال الفترة من .. في الفترة هذه
+
+223
+00:30:18,930 --> 00:30:26,350
+إيش هي القوة المؤثرة اللي هو هكون فيه الوزن MG
+
+224
+00:30:26,350 --> 00:30:38,340
+وفيه رد الفعل من الأرضان وفي الاحتكاك ميو كي في ان
+
+225
+00:30:38,340 --> 00:30:41,620
+بتساوي
+
+226
+00:30:41,620 --> 00:30:45,220
+ابراهيم
+
+227
+00:30:45,220 --> 00:30:51,540
+خليك معانا بتساوي
+
+228
+00:30:51,540 --> 00:30:55,760
+نتيجة
+
+229
+00:30:55,760 --> 00:30:56,060
+هذه
+
+230
+00:30:59,570 --> 00:31:09,830
+حاسيلا دي rolling في I في Alpha وفي acceleration M
+
+231
+00:31:09,830 --> 00:31:15,290
+في A لمركز ثقل لو
+
+232
+00:31:15,290 --> 00:31:19,650
+حكيت هاي ال X وهي
+
+233
+00:31:19,650 --> 00:31:22,070
+ال Y
+
+234
+00:31:27,860 --> 00:31:35,160
+طيب فى حركة بتجاه ال y-axis لأ مناعته summation لل
+
+235
+00:31:35,160 --> 00:31:43,180
+forces بتجاه ال Y بيساوي صفر صح بتساوي اللى هى N
+
+236
+00:31:43,180 --> 00:31:55,160
+minus MG مناعته ال N بيساوي ال MG بتجاه
+
+237
+00:31:55,160 --> 00:32:03,400
+ال X summationلل forces باتجاه ال X بالساوي
+
+238
+00:32:03,400 --> 00:32:23,060
+M X اتجاه ال X ايش عنده انا احكي اتجاه الموجب خلّي
+
+239
+00:32:23,060 --> 00:32:26,640
+X مش مشكلة انا احكي الموجب في هذا الاتجاه احكي
+
+240
+00:32:26,640 --> 00:32:27,360
+عنده Mu K
+
+241
+00:32:31,430 --> 00:32:46,950
+ن بيساوي M في A ال N اللي هي ايش M في G معناته
+
+242
+00:32:46,950 --> 00:32:57,630
+ال A بيساوي ميو كي في G طيب
+
+243
+00:33:02,440 --> 00:33:08,060
+هاخد ال moment حوالين ال G صمياشين للمoment حوالين
+
+244
+00:33:08,060 --> 00:33:20,360
+ال G بيستوي I في Alpha يعني
+
+245
+00:33:20,360 --> 00:33:23,380
+انا هكون عندى هتروح ال M G و ال N هكون U K في N
+
+246
+00:33:23,380 --> 00:33:28,800
+صح؟ U K في N بتساوي
+
+247
+00:33:33,780 --> 00:33:39,940
+في ال radius صحيح you can في ال radius بتساوي
+
+248
+00:33:39,940 --> 00:33:47,100
+I في Alpha طيب
+
+249
+00:33:47,100 --> 00:33:51,960
+الكورة
+
+250
+00:33:51,960 --> 00:33:59,280
+إيه ال moment initial الكورة ال
+
+251
+00:33:59,280 --> 00:34:01,900
+discs نص M R square هذه كورة
+
+252
+00:34:05,210 --> 00:34:08,890
+دوروا عليها هتلوها اتنين على خمسة mr square ال I
+
+253
+00:34:08,890 --> 00:34:13,890
+للكورة اتنين
+
+254
+00:34:13,890 --> 00:34:26,410
+على خمسة mr square يعني هنا هنعوض عن N ميو كيه ال
+
+255
+00:34:26,410 --> 00:34:30,470
+N اللي هى mg في
+
+256
+00:34:30,470 --> 00:34:38,410
+Rبالساوية ال I اللي هي اتنين على خمسة
+
+257
+00:34:38,410 --> 00:34:50,150
+M R تربيع في الألفة يعني
+
+258
+00:34:50,150 --> 00:34:58,730
+هيروح من عندي هاي M وهاي
+
+259
+00:34:58,730 --> 00:34:59,150
+R
+
+260
+00:35:03,440 --> 00:35:12,140
+بتصفح ال alpha هتكون
+
+261
+00:35:12,140 --> 00:35:23,260
+خمسة على اتنين خمسة على اتنين ميو ك جي على ار ميو
+
+262
+00:35:23,260 --> 00:35:28,600
+ك جي
+
+263
+00:35:28,600 --> 00:35:31,220
+على ار هذه ال alpha
+
+264
+00:35:51,040 --> 00:35:58,040
+طيب لأن هو بدأ بسرعة ابتدائية ايش V
+
+265
+00:35:58,040 --> 00:36:03,620
+naught ال
+
+266
+00:36:03,620 --> 00:36:13,730
+time at T equal T واحدالـ V الصراحة هتكون قيمتها V
+
+267
+00:36:13,730 --> 00:36:25,270
+واحد والـ Omega في دوران صح هتكون Omega واحد لو
+
+268
+00:36:25,270 --> 00:36:34,230
+ندرس الحركة الانتقالية هكون عنده V بالساوية
+
+269
+00:36:34,230 --> 00:36:37,870
+V Note زاد A في T
+
+270
+00:36:49,200 --> 00:36:57,960
+يعني ال V هتكون V واحد so V node طب انا ماشي زي
+
+271
+00:36:57,960 --> 00:37:04,260
+هيك صح؟ و ال acceleration هيك هتكون هتكون اتشملت
+
+272
+00:37:04,260 --> 00:37:12,900
+بالسبب بالسبب minus ال A اللي هي Mu KG في
+
+273
+00:37:12,900 --> 00:37:13,540
+T واحد
+
+274
+00:37:21,620 --> 00:37:27,100
+هذه جزئية ال translation جزئية ال rotation هكون
+
+275
+00:37:27,100 --> 00:37:37,740
+عندي omega بس omega node زاد alpha T يعني هتكون
+
+276
+00:37:37,740 --> 00:37:44,280
+عندي omega واحد omega node أكم كان في الأول صفر
+
+277
+00:37:44,280 --> 00:37:47,620
+زاد alpha
+
+278
+00:37:50,460 --> 00:37:54,940
+خمسة ع اتنين U
+
+279
+00:37:54,940 --> 00:38:03,640
+K G على R في T واحد لان
+
+280
+00:38:03,640 --> 00:38:09,420
+حكينا T اللي هو ال time T واحد تبدأ
+
+281
+00:38:09,420 --> 00:38:14,800
+الكرة تتدحرج بدون نزلاقمعناته إذا عندى pure
+
+282
+00:38:14,800 --> 00:38:20,280
+rolling بتكون نقطة تماث سرعة ايش بتكون ساوية صفر
+
+283
+00:38:20,280 --> 00:38:30,740
+في الحالة هذه at the instant of
+
+284
+00:38:30,740 --> 00:38:36,180
+pure rolling يعني
+
+285
+00:38:36,180 --> 00:38:36,800
+مافيش sliding
+
+286
+00:38:43,790 --> 00:38:52,190
+بتكون عنده اللي هو point of
+
+287
+00:38:52,190 --> 00:38:56,910
+contact has
+
+288
+00:38:56,910 --> 00:39:00,150
+zero
+
+289
+00:39:00,150 --> 00:39:07,150
+velocity الحالة هذه بتكون عند V تاعت مركز استقال
+
+290
+00:39:07,150 --> 00:39:09,370
+V1
+
+291
+00:39:10,380 --> 00:39:16,840
+بتساوي Omega واحد في R يعني
+
+292
+00:39:16,840 --> 00:39:24,680
+هذا هنعود V واحد بتساوي Omega واحد هذا بيصير Omega
+
+293
+00:39:24,680 --> 00:39:39,260
+واحد R بتساوي V naught minus Mu K G T واحد Omega
+
+294
+00:39:39,260 --> 00:39:45,590
+واحد بتساويهذا لأ حسينا عندي هعود فيها دي هكون
+
+295
+00:39:45,590 --> 00:39:53,130
+عندي omega واحد اللي هي خمسة على اتنين ميو كي جي
+
+296
+00:39:53,130 --> 00:40:07,890
+على ار تي واحد في ار صح بيستو في نود minus ميو كي
+
+297
+00:40:07,890 --> 00:40:19,700
+جي تي واحديعني هتروح عندى هين R واحد R مع
+
+298
+00:40:19,700 --> 00:40:34,000
+R إذا بانقلها ده على جهة التانية سنة عندى M U K G
+
+299
+00:40:34,000 --> 00:40:37,820
+T
+
+300
+00:40:37,820 --> 00:40:46,770
+واحد في خمسة على اتنينزائد واحد اللي هي واحدة كام
+
+301
+00:40:46,770 --> 00:40:55,310
+خمس اللي هو اتنين على اتنين صح بتساوي
+
+302
+00:40:55,310 --> 00:41:02,190
+V نود يعني هذا هتكون سبعة على اتنين معناته T واحد
+
+303
+00:41:02,190 --> 00:41:20,400
+بتساوي اتنين على سبعة V نودعلى ميو كي جي هذا ال
+
+304
+00:41:20,400 --> 00:41:26,840
+time at which الكورة هتحرك حركة تدحرجية كاملة بدون
+
+305
+00:41:26,840 --> 00:41:32,460
+أي انزلاق بدون
+
+306
+00:41:32,460 --> 00:41:34,760
+linear and angular velocities of the sphere at
+
+307
+00:41:34,760 --> 00:41:38,420
+time T1 يعني بده اللي هو V1
+
+308
+00:41:41,460 --> 00:41:47,660
+هذه ال V واحد ماذا يستوي V
+
+309
+00:41:47,660 --> 00:41:59,300
+نود ماينوس ميو كي جي في T واحد اللي هي اتنين على
+
+310
+00:41:59,300 --> 00:42:03,420
+سبعة V
+
+311
+00:42:03,420 --> 00:42:09,880
+نود على ميو كي جي
+
+312
+00:42:11,590 --> 00:42:21,950
+يعني هذه بتروح مع هذه يعني
+
+313
+00:42:21,950 --> 00:42:25,010
+هكون واحد نقص يعني سبعة على سبعة نقص انها سبعة
+
+314
+00:42:25,010 --> 00:42:33,330
+خمسة على سبعة صح يعني V واحد بالسواء خمسة على سبعة
+
+315
+00:42:33,330 --> 00:42:35,790
+V نوت
+
+316
+00:42:41,250 --> 00:42:50,150
+و Omega واحد ايش تساوي V واحد على R يعني هتكون
+
+317
+00:42:50,150 --> 00:43:07,910
+تساوي خمسة على سبعة V node على R في
+
+318
+00:43:07,910 --> 00:43:08,550
+اي سؤال؟
+
+319
+00:43:11,960 --> 00:43:16,220
+ال dinamica كلها مثلة واحدة، كل ديناميكا، افهن
+
+320
+00:43:16,220 --> 00:43:20,560
+physics بتاعة المثلة، نمذجها صح، بيصير مابعديك
+
+321
+00:43:20,560 --> 00:43:24,460
+يعني حل تقليدي، المحاضرة الجاية بنكمل
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VpJUR7mrDTA_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VpJUR7mrDTA_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..a2e242c25c6576a50ec63c824e9294c82fb77234
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/VpJUR7mrDTA_raw.srt
@@ -0,0 +1,1284 @@
+1
+00:00:05,010 --> 00:00:07,910
+طيب بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,910 --> 00:00:12,290
+وبركاته هنكمل في مادة الديناميكا محاضرة فاتت بدنا
+
+3
+00:00:12,290 --> 00:00:16,030
+نحكي عن kinetics of rigid bodies هكذا فزينا two
+
+4
+00:00:16,030 --> 00:00:19,650
+equations summation of force بسوء MA و summation
+
+5
+00:00:19,650 --> 00:00:23,230
+of moments حوالين ال center of gravity بسوء I في
+
+6
+00:00:23,230 --> 00:00:28,510
+Alpha اليوم حلينا two examples اليوم هنكمل هنهل
+
+7
+00:00:28,510 --> 00:00:32,190
+مجموعة جدا من ال examples فعند أبولي weighing
+
+8
+00:00:32,190 --> 00:00:42,000
+twelve poundوزن البولي 12 pound and
+
+9
+00:00:42,000 --> 00:00:44,880
+having a radius of gyration of eight inch و ال K
+
+10
+00:00:44,880 --> 00:00:55,320
+بتاعتها اتنين انش تمانية
+
+11
+00:00:55,320 --> 00:01:00,020
+انش is
+
+12
+00:01:00,020 --> 00:01:05,670
+connected to blocks as shownعند ال block A قعد ال
+
+13
+00:01:05,670 --> 00:01:14,630
+pulley و W A بتساوي خمسة pound و
+
+14
+00:01:14,630 --> 00:01:25,110
+W B عشرة pound determine
+
+15
+00:01:25,110 --> 00:01:27,550
+the angular acceleration of the pulley بدنا نحسب
+
+16
+00:01:27,550 --> 00:01:31,270
+العجل الزاوية لل pulley
+
+17
+00:01:43,310 --> 00:01:46,630
+انا هعمل free pedagram ممكن اعمل اخد ال system كله
+
+18
+00:01:46,630 --> 00:01:55,290
+مع بعضه او اخد الجسم A لحاله و الجسم B لحاله و ال
+
+19
+00:01:55,290 --> 00:02:01,330
+poly لحاله بيصير او اخده لان اذا خاتم مع بعضه ال
+
+20
+00:02:01,330 --> 00:02:05,930
+tension بيبينش فهاخد كل المجموعة هاخد ال free
+
+21
+00:02:05,930 --> 00:02:11,510
+pedagram لل system ك free pedagram هيكون ان دي
+
+22
+00:02:11,510 --> 00:02:12,930
+بيأثر
+
+23
+00:02:16,220 --> 00:02:23,060
+wa وعندي wb
+
+24
+00:02:23,060 --> 00:02:32,120
+هد بي هد ايه
+
+25
+00:02:32,120 --> 00:02:36,520
+هد بي هد ايه
+
+26
+00:03:01,670 --> 00:03:27,890
+هذا نقطة C هذا
+
+27
+00:03:27,890 --> 00:03:31,150
+عشرة انش واحدة
+
+28
+00:03:38,090 --> 00:03:47,490
+ستانش فيطاب مرضه بيأثر الوزن بتاع ال pulley و
+
+29
+00:03:47,490 --> 00:03:53,970
+في رد الفعل عندي N
+
+30
+00:04:03,390 --> 00:04:09,290
+طبعا في عندين كتلة بي و كتلة ايه نقدر نعرف في
+
+31
+00:04:09,290 --> 00:04:17,470
+اتجاه الدوران 100% يعني اذا ضربت حكاتي ستة في عشرة
+
+32
+00:04:17,470 --> 00:04:23,130
+كم تعطيين ايه ستين وعشرة في خمسة خمسين مع انتوا
+
+33
+00:04:23,130 --> 00:04:31,390
+هتلف باتجاه ال بي يعني هدا هتكون اتجاه الحركة الآن
+
+34
+00:05:24,740 --> 00:05:33,620
+نتيجة ال forces هيتحرك النظام هكون عندي هين بيلو
+
+35
+00:05:33,620 --> 00:05:45,160
+أكسلراشن م م بي اللي هي و بي على جي في ال a بي
+
+36
+00:05:45,160 --> 00:05:50,100
+وعندي هين هكون اللي أعلى وا
+
+37
+00:05:50,100 --> 00:05:59,760
+على جيفي ال AA لأن
+
+38
+00:05:59,760 --> 00:06:04,180
+مركز ثقة للبوليه مافيش ال explanation لكن في
+
+39
+00:06:04,180 --> 00:06:10,560
+rotation هكون في عندي H I
+
+40
+00:06:10,560 --> 00:06:15,020
+للبوليه في Alpha للبوليه
+
+41
+00:06:30,120 --> 00:06:44,100
+طيب لو أخدت ال moment حوالي نقطة C بعكس
+
+42
+00:06:44,100 --> 00:06:52,080
+عقار باستخدام موجب بتسوء MC effective moment حوالي
+
+43
+00:06:52,080 --> 00:06:56,960
+MC عندي
+
+44
+00:07:00,510 --> 00:07:08,750
+WB فيها كام؟ فيه ستة انش صح؟ ستة WB
+
+45
+00:07:08,750 --> 00:07:12,130
+ناقص
+
+46
+00:07:12,130 --> 00:07:28,310
+عشرة WA في
+
+47
+00:07:28,310 --> 00:07:35,690
+اي فرصة تانية moment؟لأ بالساوية عند
+
+48
+00:07:35,690 --> 00:07:43,650
+ال I poly ألف ال poly فعند
+
+49
+00:07:43,650 --> 00:07:48,610
+ال inertia بتاعة
+
+50
+00:07:48,610 --> 00:07:54,510
+B تم ال moment ليه قيمتها ستة
+
+51
+00:07:57,270 --> 00:08:06,810
+زائد ستة W للبولي على G في ال A للبولي زائد
+
+52
+00:08:06,810 --> 00:08:20,910
+عشرة WA في ال AA مظبوط؟
+
+53
+00:08:20,910 --> 00:08:25,970
+طيب الآن
+
+54
+00:08:27,830 --> 00:08:32,670
+في علاقة بين ال a b و ال angle acceleration
+
+55
+00:08:32,670 --> 00:08:41,970
+للبوليه في ال a b ايش يستوي a
+
+56
+00:08:41,970 --> 00:08:49,910
+b acceleration a b tangential ما هي ال a b عبارة
+
+57
+00:08:49,910 --> 00:08:53,910
+عن ال a tangential عند النقطة هذه صح هتسوى ايه اش
+
+58
+00:08:53,910 --> 00:09:05,980
+الفة في ستةستة الف للبولين وال ا ا سواء
+
+59
+00:09:05,980 --> 00:09:09,560
+عشرة الف
+
+60
+00:09:09,560 --> 00:09:18,120
+للبولين نعوض هنا عند الستة ال W بتاعة ال B عشرة
+
+61
+00:09:18,120 --> 00:09:28,180
+ماينوس عشرة W ال A خمسة بالساويةال اي بولي معروف
+
+62
+00:09:28,180 --> 00:09:32,860
+عنا بس
+
+63
+00:09:32,860 --> 00:09:38,280
+ماعطينا معلومات عشان نحسب ال اي بولي ماعطينا
+
+64
+00:09:38,280 --> 00:09:42,060
+ال rates of generation صحيح طيب معنى ال اي بتاعة
+
+65
+00:09:42,060 --> 00:09:46,760
+ال بولي شو يستوي ك
+
+66
+00:09:46,760 --> 00:09:54,780
+تربيع في ام ام ك تربيع كتلة
+
+67
+00:09:56,880 --> 00:10:07,920
+إيش هو redistribution؟ إذا عندي جسم بدور او
+
+68
+00:10:07,920 --> 00:10:10,140
+اش .. اش تعرف الكتلة الخطية .. الكتلة الخطية؟
+
+69
+00:10:10,140 --> 00:10:17,620
+الكتلة هي قياس لصعوبة
+
+70
+00:10:17,620 --> 00:10:18,280
+المقاومة
+
+71
+00:10:20,690 --> 00:10:26,190
+عشان اعمل ايقاف لجسم من سرعة بدائية v لسرعة نهائية
+
+72
+00:10:26,190 --> 00:10:33,070
+صفر اذا كانت كتلة كبيرة بتكون اصعب ايقافها من كتلة
+
+73
+00:10:33,070 --> 00:10:37,770
+اياش صغيرة هذا في اتجاه الخط الان ال moment of
+
+74
+00:10:37,770 --> 00:10:45,020
+inertia هي قياس لصعوبة إعاقة الدورانبكوان الجسم
+
+75
+00:10:45,020 --> 00:10:51,360
+بدور صورة ابتدائية خمجة O صورة ابتدائية صفر ال I
+
+76
+00:10:51,360 --> 00:10:54,400
+قياس للصعوبة ففي moment of inertia ممانعة دورانية
+
+77
+00:10:54,400 --> 00:11:04,540
+ممانعة دورانية لأي جسم انا ممكن اركز كتلته اخلي
+
+78
+00:11:04,540 --> 00:11:07,260
+مثلا كتافها ال density مثلا infinite اركز كتلته
+
+79
+00:11:07,260 --> 00:11:13,630
+بنقطة بنقطة وكأنه الماء اللي انا هي ماسكهاهي حبل
+
+80
+00:11:13,630 --> 00:11:19,290
+وهي الكتلة M وهي
+
+81
+00:11:19,290 --> 00:11:26,250
+بتلف والجسم الأصل بصحى زي هيك هذا equivalent لهذا
+
+82
+00:11:26,250 --> 00:11:32,610
+إذا كتلة مركزة بتقعد مسافة K بتكون I تعيطها إيش
+
+83
+00:11:32,610 --> 00:11:40,780
+ساوية M في K تربيع اللي هي I تعيطهااللي هو ال K هو
+
+84
+00:11:40,780 --> 00:11:44,400
+نصف قطر الرحة نصف قطر الرحة radius of gyration
+
+85
+00:11:44,400 --> 00:11:49,920
+معناته ال I هتكون سواء M K تربيع هتكون ال math
+
+86
+00:11:49,920 --> 00:11:59,940
+بتاعة ال poly ال هي اتناش على اتنين و تلتين و
+
+87
+00:11:59,940 --> 00:12:07,840
+اتنين من عشرة في ال K عندي تمانية على اتناش تربيع
+
+88
+00:12:10,260 --> 00:12:19,260
+خير ايه تاعة البولي؟ ناقص ايه تاعة البولي؟ في
+
+89
+00:12:19,260 --> 00:12:27,360
+الالفة تاعة البولي زائد ستة WB اللي هي عشرة على
+
+90
+00:12:27,360 --> 00:12:34,020
+اتنين و تلاتين بونت اتنين بس انتبه اللي انا عندي
+
+91
+00:12:34,020 --> 00:12:39,540
+هناالوحدات هذا هتكون على اتناش عشان نحول لقدم هذا
+
+92
+00:12:39,540 --> 00:12:48,540
+على اتناش لان هنا استخدمت ايش هنا قدم
+
+93
+00:12:48,540 --> 00:12:58,700
+ازاي في a b اللي هي حكينا a b عبارة عن ليش اللي
+
+94
+00:12:58,700 --> 00:13:08,750
+هي نص في نصالفة بتاعة ال poly زائد
+
+95
+00:13:08,750 --> 00:13:21,510
+زائد
+
+96
+00:13:21,510 --> 00:13:29,510
+عشر على اتناش ال WA اللي هي خمسة على اتنين و
+
+97
+00:13:29,510 --> 00:13:35,850
+تلاتين و اتنين من عشرةالـ a a اللي عشرة على اتناش
+
+98
+00:13:35,850 --> 00:13:44,350
+الف بى اكم طلعت ال I B؟ O point ستة عشر O point
+
+99
+00:13:44,350 --> 00:13:49,130
+ستة عشر يعني في لغزين سفر؟ لا واحد واحد ستة واحد
+
+100
+00:13:49,130 --> 00:13:56,750
+ستة كم الرقم؟ فمس فمس اللي هتكون pound force
+
+101
+00:14:00,560 --> 00:14:09,400
+عندين pound force على foot per second square في
+
+102
+00:14:09,400 --> 00:14:13,360
+foot square يعني هتكون في sub point واحد، ستة،
+
+103
+00:14:13,360 --> 00:14:16,680
+خمسة
+
+104
+00:14:16,680 --> 00:14:21,700
+pound force foot
+
+105
+00:14:21,700 --> 00:14:23,800
+second square
+
+106
+00:14:28,720 --> 00:14:37,280
+يعني احكوا ان دي هين خينا اضغط الطرفين ب 12 هتروح
+
+107
+00:14:37,280 --> 00:14:49,780
+ل 12 هذي هذي و هذي و هذي اتناش صح؟ يعني احكوا ان
+
+108
+00:14:49,780 --> 00:14:54,420
+ستة فعشرة ستين بالساوة
+
+109
+00:14:54,420 --> 00:15:07,350
+اتناش I Bاللي هي point واحد ستة خمسة زائد
+
+110
+00:15:07,350 --> 00:15:11,690
+تلاتين
+
+111
+00:15:11,690 --> 00:15:21,030
+على اتنين و تلاتين و اتنين و عشرة زائد
+
+112
+00:15:21,030 --> 00:15:24,550
+خمسمية
+
+113
+00:15:26,710 --> 00:15:33,590
+على اتناش في اتنين و تلاتين اتنين من عشرة كله في
+
+114
+00:15:33,590 --> 00:15:49,110
+alpha P ومنه بحسب ال alpha P هذا
+
+115
+00:15:49,110 --> 00:15:53,490
+المطلوب الأول المطلوب التاني the acceleration of
+
+116
+00:15:53,490 --> 00:15:57,990
+each blockخلاص بقى انا حكيت ال a,b وما تعرفتي ال
+
+117
+00:15:57,990 --> 00:16:06,010
+alpha,b بحسب ال a,a بالسواء عشر على اتناش في alpha
+
+118
+00:16:06,010 --> 00:16:12,890
+,b اللي انا حسبتها و a,b بالسواء نص في alpha,b
+
+119
+00:16:12,890 --> 00:16:17,270
+اللي حسبتها اتنين
+
+120
+00:16:28,660 --> 00:16:47,900
+radian per second square كم
+
+121
+00:16:47,900 --> 00:16:48,720
+تطلع هنا؟
+
+122
+00:16:53,430 --> 00:17:02,030
+و هنا واحد point واحد تمانية خمسة
+
+123
+00:17:02,030 --> 00:17:05,870
+ماشي،
+
+124
+00:17:05,870 --> 00:17:06,750
+فيا سؤال؟
+
+125
+00:17:36,220 --> 00:17:42,720
+طيب اشوف مثال تاني a cord is wrapped around a
+
+126
+00:17:42,720 --> 00:17:48,460
+homogeneous disk of mass 15 kilogram ال disk هذا
+
+127
+00:17:48,460 --> 00:17:53,900
+كتلته خمس
+
+128
+00:17:53,900 --> 00:17:56,400
+عشر kilogram
+
+129
+00:17:59,340 --> 00:18:03,440
+the cord is pulled upward with a force T لأن ده
+
+130
+00:18:03,440 --> 00:18:11,900
+حابب ملفوف حوالين ال disk و سحبته بقوة T T سبعمية
+
+131
+00:18:11,900 --> 00:18:17,880
+و تمانين نيوتن determine the acceleration of the
+
+132
+00:18:17,880 --> 00:18:23,240
+center of the disk هاي
+
+133
+00:18:23,240 --> 00:18:28,620
+عندي انا ال disk ال force بتأثر عليه اللي هو وزنه
+
+134
+00:18:32,960 --> 00:18:38,800
+مج والشد ت
+
+135
+00:19:08,580 --> 00:19:13,960
+in the teacher forces ها دي
+
+136
+00:19:13,960 --> 00:19:19,820
+هكون عند اي
+
+137
+00:19:19,820 --> 00:19:26,040
+حول المركز اي في الف و
+
+138
+00:19:26,040 --> 00:19:26,640
+ام في اي
+
+139
+00:20:02,980 --> 00:20:10,300
+طيب نتيجة ال force الشد و الوزن حيصير acceleration
+
+140
+00:20:10,300 --> 00:20:14,400
+لمركز الثقل و حيصير ال rotation حوالي مركز الثقل
+
+141
+00:20:14,400 --> 00:20:20,580
+معناته لو أخدت summation of the forces باتجاه
+
+142
+00:20:20,580 --> 00:20:24,680
+ال Y بيساوي
+
+143
+00:20:24,680 --> 00:20:37,500
+M A Y اتجاه ال Y عندي H Tminus MG بتساوي
+
+144
+00:20:37,500 --> 00:20:45,240
+M في A صح يعني
+
+145
+00:20:45,240 --> 00:20:57,720
+ال A هتكون T على M ناقص G صح ال T اللي هي مية و
+
+146
+00:20:57,720 --> 00:21:10,300
+تمانينو ال M خمساش ناقص تسعة point تمانية سفر ستة
+
+147
+00:21:10,300 --> 00:21:23,000
+طيب ع كام؟ ten hundred per
+
+148
+00:21:23,000 --> 00:21:23,700
+second square
+
+149
+00:21:33,830 --> 00:21:42,670
+طيب نحسب الألفة هناخد ال moment حوالين G مزال
+
+150
+00:21:42,670 --> 00:21:53,870
+حوالي ال moment summation ال moment حوالين G هتكون
+
+151
+00:21:53,870 --> 00:21:57,470
+سوى طبعا الحالة هذه I في ألفة لأن هو حوالين G
+
+152
+00:21:57,470 --> 00:21:58,070
+ماخدها أنا
+
+153
+00:22:02,710 --> 00:22:07,890
+هذه ديسك، ديسك ايش ال .. المهم انت بتنرش عليه من
+
+154
+00:22:07,890 --> 00:22:16,330
+الجداول اللي عايشه الساوية دي
+
+155
+00:22:16,330 --> 00:22:26,330
+ديسك هتشوف الجداول في الكتاب نص MR تربيع هتكون نص
+
+156
+00:22:26,330 --> 00:22:29,110
+في
+
+157
+00:22:30,880 --> 00:22:44,040
+ال M اللي هي خمستاش في ال R اللي هي نص تربيع واحد
+
+158
+00:22:44,040 --> 00:22:49,660
+فونت كيلوجرام
+
+159
+00:22:49,660 --> 00:22:54,860
+متر مربع يعني
+
+160
+00:22:54,860 --> 00:22:58,960
+اذا كان لدي ال MG هتكون
+
+161
+00:22:58,960 --> 00:23:00,420
+نص في T مظبوط
+
+162
+00:23:05,350 --> 00:23:12,210
+بتساوي I اللي واحد في
+
+163
+00:23:12,210 --> 00:23:24,330
+الف معناته الف هتساوي نص في مية و تمانين على
+
+164
+00:23:24,330 --> 00:23:30,650
+واحد تمانية
+
+165
+00:23:30,650 --> 00:23:30,930
+و اربعين
+
+166
+00:23:34,780 --> 00:23:41,340
+radian per second squared هذا
+
+167
+00:23:41,340 --> 00:23:49,920
+المطلوب الأول و التاني بدوا
+
+168
+00:23:49,920 --> 00:23:57,480
+linear and angular velocities of the sphere بدوا
+
+169
+00:23:57,480 --> 00:24:00,280
+acceleration of the chord
+
+170
+00:24:05,140 --> 00:24:07,060
+ال acceleration بتاعة ال chord ايش هتكون الساوية
+
+171
+00:24:07,060 --> 00:24:12,640
+ال a بتاعة ال chord هتكون الساوية a a هاد ال
+
+172
+00:24:12,640 --> 00:24:15,320
+immediate اللي هو كان second اللي قال انا هتكون
+
+173
+00:24:15,320 --> 00:24:20,220
+عندي a a هو برضه واقع وانا على ال disk هتكون
+
+174
+00:24:20,220 --> 00:24:27,980
+تساوية ك vector a g زائد
+
+175
+00:24:27,980 --> 00:24:32,940
+a g بالنصف ل a صح؟
+
+176
+00:24:36,030 --> 00:24:45,730
+يعني هتكون ال a g اللي هي اكم اتنين point واحد
+
+177
+00:24:45,730 --> 00:24:50,010
+تسعة اربعة meter per second square واتجاه الأعلى
+
+178
+00:24:50,010 --> 00:24:54,110
+جاي صح زائد
+
+179
+00:24:54,110 --> 00:24:57,150
+ال
+
+180
+00:24:57,150 --> 00:25:02,770
+a g في ال ال a غلط هذا
+
+181
+00:25:05,650 --> 00:25:12,330
+A A بالنسبة ل G صح؟
+
+182
+00:25:12,330 --> 00:25:25,130
+هتكون زائد A بالنسبة ل G Normal هكون تجاهها من A ل
+
+183
+00:25:25,130 --> 00:25:29,950
+G هيك اتجاهها مظلوط
+
+184
+00:25:29,950 --> 00:25:33,970
+زائد A
+
+185
+00:25:35,290 --> 00:25:45,530
+A بالنسبة ل G tangential هكون هاي اتجاهها مظبوط
+
+186
+00:25:45,530 --> 00:25:53,330
+كون الساوي اللي هو اتنين meter
+
+187
+00:25:53,330 --> 00:26:02,750
+second square لأعلى حدش في الساوي هادى صفر اللي
+
+188
+00:26:02,750 --> 00:26:11,070
+انا بديها كان السكون هادىصفر لأنه كانت omega صوف
+
+189
+00:26:11,070 --> 00:26:20,130
+صفر زاد صفر زاد ايه بالنسبة لل G التنجين شو ساوي
+
+190
+00:26:20,130 --> 00:26:24,630
+Alpha في
+
+191
+00:26:24,630 --> 00:26:28,970
+ال A G يعني
+
+192
+00:26:28,970 --> 00:26:32,530
+هتكون نين point واحد تسعة أربع
+
+193
+00:26:36,790 --> 00:26:44,970
+زاد الألفة حسبنا تبانية و أربعين الاج
+
+194
+00:26:44,970 --> 00:26:54,950
+نص صح لأعلى يعني هتكون أربع و عشرين زاد اتنين ستة
+
+195
+00:26:54,950 --> 00:27:01,110
+و عشرين point واحد تسعة أربعة meter per second
+
+196
+00:27:01,110 --> 00:27:04,030
+square لأعلى
+
+197
+00:27:08,470 --> 00:27:13,410
+هذا الجسم بتحرك general plan motion هذا general
+
+198
+00:27:13,410 --> 00:27:17,470
+plan motion بالظبط فيه translation وفيه rotation
+
+199
+00:27:17,470 --> 00:27:25,010
+بنفعش احكي A A A بسوء Alpha في A G لإنه في جزء
+
+200
+00:27:25,010 --> 00:27:28,350
+انتقالي هايو وفي جزء rotation
+
+201
+00:28:10,010 --> 00:28:18,610
+عند سفير كرة كتلتها M و نص كترها R is projected
+
+202
+00:28:18,610 --> 00:28:22,030
+along a rough horizontal surface with a linear
+
+203
+00:28:22,030 --> 00:28:26,690
+velocity V0 عند الكرة تم
+
+204
+00:28:26,690 --> 00:28:33,230
+إلقاها على سطح أفقي خشن بسرعة بدائية V0
+
+205
+00:28:37,320 --> 00:28:41,020
+the coefficient of kinetic friction between the
+
+206
+00:28:41,020 --> 00:28:44,340
+sphere and the surface mu k معامل احتكاك ميكانيكي
+
+207
+00:28:44,340 --> 00:28:55,180
+بين الكرة والسطح mu k مطلوب الأول determine the
+
+208
+00:28:55,180 --> 00:29:00,000
+time t one at which the sphere will start rolling
+
+209
+00:29:00,000 --> 00:29:02,600
+without sliding طبعا أول محدث فيها
+
+210
+00:29:05,260 --> 00:29:08,440
+translation بعدين هتصير .. هتصير عندك انتقال
+
+211
+00:29:08,440 --> 00:29:13,480
+بتحاول يعني بتدور و بتزهلى يعني لحد ما تصنع الدور
+
+212
+00:29:13,480 --> 00:29:17,720
+هتصيرت ده حرج عادي بيصير أيش؟ ففي الأول بيكون في
+
+213
+00:29:17,720 --> 00:29:26,740
+عندك rolling مع sliding rolling مع sliding مازالت
+
+214
+00:29:26,740 --> 00:29:31,060
+ماعندي rolling مع sliding ال ..
+
+215
+00:29:35,540 --> 00:29:41,640
+لينيار موشن مش مرتبطة او فش الاقراض بين ال linear
+
+216
+00:29:41,640 --> 00:29:45,300
+motion ال linear acceleration مع ال angular
+
+217
+00:29:45,300 --> 00:29:48,700
+acceleration مانفحش احكي الله ال a تاعة مارك
+
+218
+00:29:48,700 --> 00:29:56,340
+استقال بيساوي Alpha في R فانا عندى فى البداية كانت
+
+219
+00:29:56,340 --> 00:30:02,200
+فى الفترة الابتدائية فى من فترة ال time 0 لحد ال
+
+220
+00:30:02,200 --> 00:30:06,850
+time T1 كان فى عندىrolling مع sliding rolling مع
+
+221
+00:30:06,850 --> 00:30:13,150
+sliding في الفترة هذه هي
+
+222
+00:30:13,150 --> 00:30:18,930
+الكورة إيش هكون خلال الفترة من .. في الفترة هذه
+
+223
+00:30:18,930 --> 00:30:26,350
+إيش هي القوة المؤثرة اللي هو هكون فيه الوزن MG
+
+224
+00:30:26,350 --> 00:30:38,340
+وفيه رد الفعل من الأرضان وفي الاحتكاك ميو كي في ان
+
+225
+00:30:38,340 --> 00:30:41,620
+بتساوي
+
+226
+00:30:41,620 --> 00:30:45,220
+ابراهيم
+
+227
+00:30:45,220 --> 00:30:51,540
+خليك معانا بتساوي
+
+228
+00:30:51,540 --> 00:30:55,760
+نتيجة
+
+229
+00:30:55,760 --> 00:30:56,060
+هذه
+
+230
+00:30:59,570 --> 00:31:09,830
+حاسيلا دي rolling في I في Alpha وفي acceleration M
+
+231
+00:31:09,830 --> 00:31:15,290
+في A لمركز ثقل لو
+
+232
+00:31:15,290 --> 00:31:19,650
+حكيت هاي ال X وهي
+
+233
+00:31:19,650 --> 00:31:22,070
+ال Y
+
+234
+00:31:27,860 --> 00:31:35,160
+طيب فى حركة بتجاه ال y-axis لأ مناعته summation لل
+
+235
+00:31:35,160 --> 00:31:43,180
+forces بتجاه ال Y بيساوي صفر صح بتساوي اللى هى N
+
+236
+00:31:43,180 --> 00:31:55,160
+minus MG مناعته ال N بيساوي ال MG بتجاه
+
+237
+00:31:55,160 --> 00:32:03,400
+ال X summationلل forces باتجاه ال X بالساوي
+
+238
+00:32:03,400 --> 00:32:23,060
+M X اتجاه ال X ايش عنده انا احكي اتجاه الموجب خلّي
+
+239
+00:32:23,060 --> 00:32:26,640
+X مش مشكلة انا احكي الموجب في هذا الاتجاه احكي
+
+240
+00:32:26,640 --> 00:32:27,360
+عنده Mu K
+
+241
+00:32:31,430 --> 00:32:46,950
+ن بيساوي M في A ال N اللي هي ايش M في G معناته
+
+242
+00:32:46,950 --> 00:32:57,630
+ال A بيساوي ميو كي في G طيب
+
+243
+00:33:02,440 --> 00:33:08,060
+هاخد ال moment حوالين ال G صمياشين للمoment حوالين
+
+244
+00:33:08,060 --> 00:33:20,360
+ال G بيستوي I في Alpha يعني
+
+245
+00:33:20,360 --> 00:33:23,380
+انا هكون عندى هتروح ال M G و ال N هكون U K في N
+
+246
+00:33:23,380 --> 00:33:28,800
+صح؟ U K في N بتساوي
+
+247
+00:33:33,780 --> 00:33:39,940
+في ال radius صحيح you can في ال radius بتساوي
+
+248
+00:33:39,940 --> 00:33:47,100
+I في Alpha طيب
+
+249
+00:33:47,100 --> 00:33:51,960
+الكورة
+
+250
+00:33:51,960 --> 00:33:59,280
+إيه ال moment initial الكورة ال
+
+251
+00:33:59,280 --> 00:34:01,900
+discs نص M R square هذه كورة
+
+252
+00:34:05,210 --> 00:34:08,890
+دوروا عليها هتلوها اتنين على خمسة mr square ال I
+
+253
+00:34:08,890 --> 00:34:13,890
+للكورة اتنين
+
+254
+00:34:13,890 --> 00:34:26,410
+على خمسة mr square يعني هنا هنعوض عن N ميو كيه ال
+
+255
+00:34:26,410 --> 00:34:30,470
+N اللي هى mg في
+
+256
+00:34:30,470 --> 00:34:38,410
+Rبالساوية ال I اللي هي اتنين على خمسة
+
+257
+00:34:38,410 --> 00:34:50,150
+M R تربيع في الألفة يعني
+
+258
+00:34:50,150 --> 00:34:58,730
+هيروح من عندي هاي M وهاي
+
+259
+00:34:58,730 --> 00:34:59,150
+R
+
+260
+00:35:03,440 --> 00:35:12,140
+بتصفح ال alpha هتكون
+
+261
+00:35:12,140 --> 00:35:23,260
+خمسة على اتنين خمسة على اتنين ميو ك جي على ار ميو
+
+262
+00:35:23,260 --> 00:35:28,600
+ك جي
+
+263
+00:35:28,600 --> 00:35:31,220
+على ار هذه ال alpha
+
+264
+00:35:51,040 --> 00:35:58,040
+طيب لأن هو بدأ بسرعة ابتدائية ايش V
+
+265
+00:35:58,040 --> 00:36:03,620
+naught ال
+
+266
+00:36:03,620 --> 00:36:13,730
+time at T equal T واحدالـ V الصراحة هتكون قيمتها V
+
+267
+00:36:13,730 --> 00:36:25,270
+واحد والـ Omega في دوران صح هتكون Omega واحد لو
+
+268
+00:36:25,270 --> 00:36:34,230
+ندرس الحركة الانتقالية هكون عنده V بالساوية
+
+269
+00:36:34,230 --> 00:36:37,870
+V Note زاد A في T
+
+270
+00:36:49,200 --> 00:36:57,960
+يعني ال V هتكون V واحد so V node طب انا ماشي زي
+
+271
+00:36:57,960 --> 00:37:04,260
+هيك صح؟ و ال acceleration هيك هتكون هتكون اتشملت
+
+272
+00:37:04,260 --> 00:37:12,900
+بالسبب بالسبب minus ال A اللي هي Mu KG في
+
+273
+00:37:12,900 --> 00:37:13,540
+T واحد
+
+274
+00:37:21,620 --> 00:37:27,100
+هذه جزئية ال translation جزئية ال rotation هكون
+
+275
+00:37:27,100 --> 00:37:37,740
+عندي omega بس omega node زاد alpha T يعني هتكون
+
+276
+00:37:37,740 --> 00:37:44,280
+عندي omega واحد omega node أكم كان في الأول صفر
+
+277
+00:37:44,280 --> 00:37:47,620
+زاد alpha
+
+278
+00:37:50,460 --> 00:37:54,940
+خمسة ع اتنين U
+
+279
+00:37:54,940 --> 00:38:03,640
+K G على R في T واحد لان
+
+280
+00:38:03,640 --> 00:38:09,420
+حكينا T اللي هو ال time T واحد تبدأ
+
+281
+00:38:09,420 --> 00:38:14,800
+الكرة تتدحرج بدون نزلاقمعناته إذا عندى pure
+
+282
+00:38:14,800 --> 00:38:20,280
+rolling بتكون نقطة تماث سرعة ايش بتكون ساوية صفر
+
+283
+00:38:20,280 --> 00:38:30,740
+في الحالة هذه at the instant of
+
+284
+00:38:30,740 --> 00:38:36,180
+pure rolling يعني
+
+285
+00:38:36,180 --> 00:38:36,800
+مافيش sliding
+
+286
+00:38:43,790 --> 00:38:52,190
+بتكون عنده اللي هو point of
+
+287
+00:38:52,190 --> 00:38:56,910
+contact has
+
+288
+00:38:56,910 --> 00:39:00,150
+zero
+
+289
+00:39:00,150 --> 00:39:07,150
+velocity الحالة هذه بتكون عند V تاعت مركز استقال
+
+290
+00:39:07,150 --> 00:39:09,370
+V1
+
+291
+00:39:10,380 --> 00:39:16,840
+بتساوي Omega واحد في R يعني
+
+292
+00:39:16,840 --> 00:39:24,680
+هذا هنعود V واحد بتساوي Omega واحد هذا بيصير Omega
+
+293
+00:39:24,680 --> 00:39:39,260
+واحد R بتساوي V naught minus Mu K G T واحد Omega
+
+294
+00:39:39,260 --> 00:39:45,590
+واحد بتساويهذا لأ حسينا عندي هعود فيها دي هكون
+
+295
+00:39:45,590 --> 00:39:53,130
+عندي omega واحد اللي هي خمسة على اتنين ميو كي جي
+
+296
+00:39:53,130 --> 00:40:07,890
+على ار تي واحد في ار صح بيستو في نود minus ميو كي
+
+297
+00:40:07,890 --> 00:40:19,700
+جي تي واحديعني هتروح عندى هين R واحد R مع
+
+298
+00:40:19,700 --> 00:40:34,000
+R إذا بانقلها ده على جهة التانية سنة عندى M U K G
+
+299
+00:40:34,000 --> 00:40:37,820
+T
+
+300
+00:40:37,820 --> 00:40:46,770
+واحد في خمسة على اتنينزائد واحد اللي هي واحدة كام
+
+301
+00:40:46,770 --> 00:40:55,310
+خمس اللي هو اتنين على اتنين صح بتساوي
+
+302
+00:40:55,310 --> 00:41:02,190
+V نود يعني هذا هتكون سبعة على اتنين معناته T واحد
+
+303
+00:41:02,190 --> 00:41:20,400
+بتساوي اتنين على سبعة V نودعلى ميو كي جي هذا ال
+
+304
+00:41:20,400 --> 00:41:26,840
+time at which الكورة هتحرك حركة تدحرجية كاملة بدون
+
+305
+00:41:26,840 --> 00:41:32,460
+أي انزلاق بدون
+
+306
+00:41:32,460 --> 00:41:34,760
+linear and angular velocities of the sphere at
+
+307
+00:41:34,760 --> 00:41:38,420
+time T1 يعني بده اللي هو V1
+
+308
+00:41:41,460 --> 00:41:47,660
+هذه ال V واحد ماذا يستوي V
+
+309
+00:41:47,660 --> 00:41:59,300
+نود ماينوس ميو كي جي في T واحد اللي هي اتنين على
+
+310
+00:41:59,300 --> 00:42:03,420
+سبعة V
+
+311
+00:42:03,420 --> 00:42:09,880
+نود على ميو كي جي
+
+312
+00:42:11,590 --> 00:42:21,950
+يعني هذه بتروح مع هذه يعني
+
+313
+00:42:21,950 --> 00:42:25,010
+هكون واحد نقص يعني سبعة على سبعة نقص انها سبعة
+
+314
+00:42:25,010 --> 00:42:33,330
+خمسة على سبعة صح يعني V واحد بالسواء خمسة على سبعة
+
+315
+00:42:33,330 --> 00:42:35,790
+V نوت
+
+316
+00:42:41,250 --> 00:42:50,150
+و Omega واحد ايش تساوي V واحد على R يعني هتكون
+
+317
+00:42:50,150 --> 00:43:07,910
+تساوي خمسة على سبعة V node على R في
+
+318
+00:43:07,910 --> 00:43:08,550
+اي سؤال؟
+
+319
+00:43:11,960 --> 00:43:16,220
+ال dinamica كلها مثلة واحدة، كل ديناميكا، افهن
+
+320
+00:43:16,220 --> 00:43:20,560
+physics بتاعة المثلة، نمذجها صح، بيصير مابعديك
+
+321
+00:43:20,560 --> 00:43:24,460
+يعني حل تقليدي، المحاضرة الجاية بنكمل
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/XEJFlhRgiKo_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/XEJFlhRgiKo_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e7b7918e7f9cc481f12cfec885cd7c885fcb1c56
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/XEJFlhRgiKo_postprocess.srt
@@ -0,0 +1,1496 @@
+1
+00:00:04,910 --> 00:00:07,530
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,530 --> 00:00:11,590
+وبركاته هنكمل في مادة الميكانيكا chapter الاول
+
+3
+00:00:11,590 --> 00:00:15,790
+kinematics of particles المحاضرة اللي فات حكينا عن
+
+4
+00:00:15,790 --> 00:00:20,290
+ال graphical solution of kinematic problems هنشوف
+
+5
+00:00:20,290 --> 00:00:25,190
+كيف نتعامل مع مسائل ال kinematic باستخدام الطرق ال
+
+6
+00:00:25,190 --> 00:00:26,430
+graphs او ال graphing
+
+7
+00:00:35,540 --> 00:00:43,100
+عنا a car leaves station a car leaves station a
+
+8
+00:00:43,100 --> 00:00:51,180
+عند سيارة بتغادر
+
+9
+00:00:51,180 --> 00:00:56,960
+محطة a خلنا نقرأ المثل و بعدين نلخصه it gains
+
+10
+00:00:56,960 --> 00:01:02,760
+speed طب معناته it leaves لما تغادر بتغادر الشجرة
+
+11
+00:01:02,760 --> 00:01:07,610
+بتبدأ من حركتها من السكونit gains speed at the
+
+12
+00:01:07,610 --> 00:01:10,390
+rate of four feet per second for six seconds
+
+13
+00:01:10,390 --> 00:01:14,190
+بسرعتها
+
+14
+00:01:14,190 --> 00:01:18,650
+بزيد بمعدل أربع قدم في الثانية لكل ثانية في أول ست
+
+15
+00:01:18,650 --> 00:01:25,170
+ثانية and then at the rate of six feet per second
+
+16
+00:01:25,170 --> 00:01:32,010
+squared بعدين سرعتها تتزال بتسهر أكبر قيمته ستة
+
+17
+00:01:32,010 --> 00:01:36,510
+قدم على الثانية لكل ثانيةلحد ما تصل سرعتها تمانية
+
+18
+00:01:36,510 --> 00:01:42,710
+و اربعين قدم في الثانية the car maintains the same
+
+19
+00:01:42,710 --> 00:01:45,570
+speed بيبقى على نفس السرعة تمانية و اربعين قدم في
+
+20
+00:01:45,570 --> 00:01:52,510
+الثانية until it approaches station B لحد ما تقترب
+
+21
+00:01:52,510 --> 00:01:59,050
+من المحطة D اقتربت لكن ماوصلتش يعني لسه بقال في
+
+22
+00:01:59,050 --> 00:02:04,450
+مسافة عشان تصلbreaks are then applied استخدم
+
+23
+00:02:04,450 --> 00:02:10,410
+البركات giving the car a constant deceleration لما
+
+24
+00:02:10,410 --> 00:02:21,270
+نستخدم البركات هتنزل السرعة يعني بعجلة تناقصية في
+
+25
+00:02:21,270 --> 00:02:26,170
+ست ثواني the total running time from A to B is
+
+26
+00:02:26,170 --> 00:02:37,010
+forty second الرحلة أربعين ثانيةDraw the A, T, V,
+
+27
+00:02:37,170 --> 00:02:43,990
+T and X, T curves ارسم العجلة مع الزمن والسرعة مع
+
+28
+00:02:43,990 --> 00:02:49,490
+الزمن والإزاها مع الزمن and determine the distance
+
+29
+00:02:49,490 --> 00:02:53,170
+between stations A and B ووجد المسافة بين المحطة A
+
+30
+00:02:53,170 --> 00:03:00,110
+ومحطة B فانا برجع كمان مرة طبعا انا بدي اعمل plot
+
+31
+00:03:01,290 --> 00:03:14,190
+لل a و ال v و ال x كدالة مع الزمن عندي
+
+32
+00:03:14,190 --> 00:03:18,690
+التحت هتكون عندي انها
+
+33
+00:03:18,690 --> 00:03:24,310
+الزمن و اول شيه ال acceleration اول شيه ال total
+
+34
+00:03:24,310 --> 00:03:24,710
+time
+
+35
+00:03:34,870 --> 00:03:45,730
+total time اكم؟ اربعين يعني اقصى الزمن اربعين
+
+36
+00:03:45,730 --> 00:03:50,990
+خلينا نقسم درجة الزمن اندي اربعين معناته نصها
+
+37
+00:03:50,990 --> 00:03:55,030
+هتكون عشرين
+
+38
+00:03:55,030 --> 00:03:59,530
+عشرة
+
+39
+00:03:59,530 --> 00:04:03,490
+تلاتين
+
+40
+00:04:08,510 --> 00:04:14,450
+خمسة خمستاش خمسة
+
+41
+00:04:14,450 --> 00:04:18,310
+و عشرين خمسة
+
+42
+00:04:18,310 --> 00:04:18,810
+و تلاتين
+
+43
+00:05:25,500 --> 00:05:29,780
+السيارة بتغادر محطة A بسرعة ابتدائية صفر يعني عندي
+
+44
+00:05:29,780 --> 00:05:35,760
+هي اللي حكيت هي ال V برضه
+
+45
+00:05:35,760 --> 00:05:42,040
+هي ال time هي
+
+46
+00:05:42,040 --> 00:05:48,560
+ال zero وهي
+
+47
+00:05:48,560 --> 00:05:48,940
+ال V
+
+48
+00:05:52,490 --> 00:05:59,290
+بتبدأ من صفر it gains
+
+49
+00:05:59,290 --> 00:06:01,990
+speed at the rate of four feet per second squared
+
+50
+00:06:01,990 --> 00:06:09,430
+for six seconds أول ست ثواني هي ستة
+
+51
+00:06:09,430 --> 00:06:12,710
+التسارع
+
+52
+00:06:12,710 --> 00:06:18,450
+ثابت كنت أربع قدم على ثاني تربيع
+
+53
+00:06:26,490 --> 00:06:32,790
+اربعة foot per second square
+
+54
+00:06:32,790 --> 00:06:39,350
+العجلة
+
+55
+00:06:39,350 --> 00:06:46,830
+كانت منتظرة ال
+
+56
+00:06:46,830 --> 00:06:50,190
+a ما هي بيساوي ايش ال a
+
+57
+00:06:55,030 --> 00:07:06,250
+VDV A بساوي DV بقى DT يعني
+
+58
+00:07:06,250 --> 00:07:16,790
+DV A DT يعني عملنا تكامل هنبدأ نقل و أسميها O
+
+59
+00:07:22,530 --> 00:07:27,630
+من V node او اللي كانت في الحالة دي ايش ساوي؟ صفر
+
+60
+00:07:27,630 --> 00:07:39,570
+ل V واحد وهنا من صفر ل T واحد هنا هتكون ال V واحد
+
+61
+00:07:39,570 --> 00:07:48,170
+هتستوى ال area تحت ال exploration صح؟ اللي هي A T
+
+62
+00:07:48,170 --> 00:07:54,810
+واحدت واحد ايش بالساوية ستة ستة يعني اربع في ستة
+
+63
+00:07:54,810 --> 00:08:08,330
+اربع و عشرين اربع
+
+64
+00:08:08,330 --> 00:08:14,150
+و عشرين هذه ت واحد عند ت واحد
+
+65
+00:08:19,250 --> 00:08:33,770
+بساوة ست ثانية هذه اربعة و عشرين قدم كل ثانية and
+
+66
+00:08:33,770 --> 00:08:38,170
+then at
+
+67
+00:08:38,170 --> 00:08:44,470
+the rate of six feet per second square بعدين مشيت
+
+68
+00:08:44,470 --> 00:08:46,770
+بتسارع قيمته
+
+69
+00:08:50,430 --> 00:08:58,910
+مش عارفين هو يكتشف حتة رزانية قيمته ستة per
+
+70
+00:08:58,910 --> 00:09:05,210
+second square طيب
+
+71
+00:09:31,990 --> 00:09:37,790
+until it has reached the speed of 48 feet per
+
+72
+00:09:37,790 --> 00:09:43,450
+second لحد موصلت سلعتها وراها من ال slope ستة
+
+73
+00:09:43,450 --> 00:09:57,630
+السلوب أعلى من أربعة صح؟هتصير اشي زهق عنها الان
+
+74
+00:09:57,630 --> 00:10:10,110
+انا بحاكي برضه تكامل DV من V1 ل V2 سواء تكامل من
+
+75
+00:10:10,110 --> 00:10:26,340
+T1ل T2 ل A2 DT يعني V8 minus V1 سواء A2 في T2 يعني
+
+76
+00:10:26,340 --> 00:10:41,480
+V8 سواء V1 اللي هو 24 صح زاد ال A2 اللي هي 6 في T2
+
+77
+00:10:43,090 --> 00:10:52,590
+-T1 أكم 6 طيب هو بيحكي ليه V2 ضالة ماشي بتسارع ستة
+
+78
+00:10:52,590 --> 00:10:55,050
+قدم على ثانية تربية لحد ما V2 صارت تمانية وأربعين
+
+79
+00:10:55,050 --> 00:11:02,190
+يعني اللي عوضت هنا تمانية وأربعين سواء أربع وعشرين
+
+80
+00:11:02,190 --> 00:11:09,010
+زاد ستة في T2 لاقل ستة يعني T يعني عندك هستير أربع
+
+81
+00:11:09,010 --> 00:11:14,890
+وعشرين على ستة أكماربع يعني T اتنين شو يستاوي عشرة
+
+82
+00:11:14,890 --> 00:11:18,810
+second معناته
+
+83
+00:11:18,810 --> 00:11:22,890
+هذه
+
+84
+00:11:22,890 --> 00:11:30,670
+T اتنين سرعة كم صارت سرعة تمانية واربعين
+
+85
+00:11:44,830 --> 00:11:49,950
+the car maintains the same speed حافظ على السرعة
+
+86
+00:11:49,950 --> 00:11:51,790
+التمانية و أربعين مانعته ال acceleration هتكون بعد
+
+87
+00:11:51,790 --> 00:11:58,210
+أياش صفر until
+
+88
+00:11:58,210 --> 00:12:03,650
+it approaches station B brakes are then applied
+
+89
+00:12:03,650 --> 00:12:10,210
+يعني حافظ على السرعة تمانية
+
+90
+00:12:10,210 --> 00:12:15,970
+و أربعينلما اقتربت مش عارفة هنا المسافة لما اقتربت
+
+91
+00:12:15,970 --> 00:12:23,570
+من ال station B استخدم البريكات اعطل السيارة عجلة
+
+92
+00:12:23,570 --> 00:12:31,690
+تناقصية لحد ما توقفت في ست ثواني يعني
+
+93
+00:12:31,690 --> 00:12:39,650
+معناته هو وصل هنا يعني هنا ضلتها بسرعة ثابتة
+
+94
+00:12:44,810 --> 00:12:49,510
+لحد اربعة و تلاتين second لان هو صار توقف آخر في
+
+95
+00:12:49,510 --> 00:12:59,170
+ست ثانية هاي التوقف من
+
+96
+00:12:59,170 --> 00:13:02,470
+ال acceleration من عشرة لاربعة و تلاتين بالساوية
+
+97
+00:13:02,470 --> 00:13:07,690
+الصفر خلنا
+
+98
+00:13:07,690 --> 00:13:08,650
+نحكي ايه التلاتة
+
+99
+00:13:11,990 --> 00:13:21,370
+بالساوية سفر فترة زمان يتيه بين عشرة لاربعة و
+
+100
+00:13:21,370 --> 00:13:27,450
+تلاتين من
+
+101
+00:13:27,450 --> 00:13:35,790
+اربعة و تلاتين لاربعين ال A4 هتكون سفر ماقص تانية
+
+102
+00:13:35,790 --> 00:13:39,530
+و اربعين على
+
+103
+00:13:39,530 --> 00:13:48,010
+ستة صح؟اللي ناقص تمانية قدم على ال second square
+
+104
+00:13:48,010 --> 00:13:57,110
+يعني هنا ستكون سالب تمانية
+
+105
+00:14:14,570 --> 00:14:18,750
+هذه ال acceleration لان
+
+106
+00:14:18,750 --> 00:14:23,230
+انا عملت صارت المعروف ال acceleration وصارت معروف
+
+107
+00:14:23,230 --> 00:14:28,190
+ال velocity هذه
+
+108
+00:14:28,190 --> 00:14:36,410
+هتكون T3 T3
+
+109
+00:14:36,410 --> 00:14:41,530
+هي هتكون اربعة
+
+110
+00:14:41,530 --> 00:14:42,110
+وتلاتين
+
+111
+00:14:45,230 --> 00:14:58,630
+second لأ بده ارسم ال displacement هاي
+
+112
+00:14:58,630 --> 00:15:05,290
+ال time هاي
+
+113
+00:15:05,290 --> 00:15:08,370
+ال T واحد T اتنين
+
+114
+00:15:11,740 --> 00:15:19,280
+T تلاتة T واحد اللي هي ستة هذه عشرة وهذه أربعة و
+
+115
+00:15:19,280 --> 00:15:24,480
+تلاتين ال
+
+116
+00:15:24,480 --> 00:15:28,600
+V إيش ساوي DX
+
+117
+00:15:28,600 --> 00:15:38,900
+على DT يعني DX بالساوية VDT
+
+118
+00:15:42,910 --> 00:15:47,530
+كامل احنا هنحكي المركز الحدثيات موجود عند نقطة A
+
+119
+00:15:47,530 --> 00:15:55,890
+يعني هعتبره طالع من صفر من صفر هنحكي
+
+120
+00:15:55,890 --> 00:16:06,640
+لها X واحد وهين صفر لل T واحد يعني X واحدهتكون
+
+121
+00:16:06,640 --> 00:16:12,140
+تكامل ل VDT من صفر ل T واحد يعني هتكون مساحة
+
+122
+00:16:12,140 --> 00:16:22,700
+المثلثة فهذه هسميها أيش ال area واحد area
+
+123
+00:16:22,700 --> 00:16:29,380
+واحد ايش ساعة مصر في
+
+124
+00:16:29,380 --> 00:16:32,620
+ستة
+
+125
+00:16:32,620 --> 00:16:42,370
+في أربع وعشرينيعني انا كام؟ اتنين و سبعين يعني
+
+126
+00:16:42,370 --> 00:16:51,990
+اكس واحد هتكون تساوي اكس واحد هتكون ا واحد ليه
+
+127
+00:16:51,990 --> 00:17:00,750
+اتنين و سبعين قدم الان
+
+128
+00:17:00,750 --> 00:17:08,100
+ال V هي ال slope لل Xو ال slope بزيد، يعني ال x
+
+129
+00:17:08,100 --> 00:17:15,040
+هتكون طالع بالشكل هذا و لا بالشكل هذا يعني
+
+130
+00:17:15,040 --> 00:17:20,580
+اندي حالة زي هيك الأول عشان ال slope بزيد وهي ال
+
+131
+00:17:20,580 --> 00:17:22,800
+slope الساوية زيها ويعني منهم بدت
+
+132
+00:17:34,380 --> 00:17:47,080
+هذه هتكون اكم 72 احنا
+
+133
+00:17:47,080 --> 00:18:01,080
+المفروض على 6 سيطلع طبعا
+
+134
+00:18:01,080 --> 00:18:01,620
+مش linear
+
+135
+00:18:15,190 --> 00:18:21,030
+لأن هيكون x2 نقص
+
+136
+00:18:21,030 --> 00:18:26,570
+x1 بسوة
+
+137
+00:18:26,570 --> 00:18:34,690
+ال area التانية هذه نسميها a2 بسوة
+
+138
+00:18:34,690 --> 00:18:47,690
+a2 اللي هي تكاملVDT من T1 ل T2 يعني X2 سواء X1
+
+139
+00:18:47,690 --> 00:18:51,890
+اللي هي 72 زائد
+
+140
+00:18:51,890 --> 00:19:03,530
+اتنين شويهم الحرف يعني نص في أربع عشرين زائد تباني
+
+141
+00:19:03,530 --> 00:19:06,490
+و أربعين الارتفاع بتاعها أياش
+
+142
+00:19:11,590 --> 00:19:14,930
+اربع انا هاكول عندى اربع و عشرين تمانية عالية
+
+143
+00:19:14,930 --> 00:19:20,450
+اتنين و سمية عالية اتنين ستة و تلاتين في اربع مية
+
+144
+00:19:20,450 --> 00:19:25,910
+و اربع و اربعين هزوط زاد اتنين مية و ستة و اربعين
+
+145
+00:19:25,910 --> 00:19:32,930
+ميتين و ستاش هزوط قدم
+
+146
+00:19:43,460 --> 00:19:50,760
+السلوب برضه بزيدي يعني السلوب هنا كان قيمته اكم
+
+147
+00:19:50,760 --> 00:19:56,880
+اربع و عشرين هنا هتصير اكم
+
+148
+00:19:56,880 --> 00:20:02,140
+اعدل القيمة بالتان و ستاشر
+
+149
+00:20:09,630 --> 00:20:18,130
+في الفترة من T2 ل T3 السرعة أشمالها ثابتة، صح؟
+
+150
+00:20:18,130 --> 00:20:31,470
+معناته هكمل Linear يعني هنحسب A3 هذه
+
+151
+00:20:31,470 --> 00:20:32,330
+كلها A3
+
+152
+00:20:44,240 --> 00:20:52,340
+A ثلاثة او نحكي X ثلاثة minus X اتنين بالسواء A
+
+153
+00:20:52,340 --> 00:21:01,280
+ثلاثة يعني X ثلاثة هي سواء X اتنين زائد A ثلاثة X
+
+154
+00:21:01,280 --> 00:21:06,320
+اتنين اللي هي مائتين و ستاش زائد A ثلاثة اللي هي
+
+155
+00:21:06,320 --> 00:21:13,200
+هتكون اربع و عشرين في التمانية و اربعين
+
+156
+00:21:16,710 --> 00:21:29,630
+2442 ارشد 576 كل ما بيطلع الف و ألف و أكم بيطلع
+
+157
+00:21:29,630 --> 00:21:34,230
+الف تلت مية قدم
+
+158
+00:21:34,230 --> 00:21:43,990
+هيطلع linear يعني عدل احد
+
+159
+00:21:43,990 --> 00:21:45,090
+اتن تلت لحد هذا
+
+160
+00:21:51,270 --> 00:22:02,250
+الف تلات مية و التمانية و ستين قدر طيب
+
+161
+00:22:02,250 --> 00:22:19,270
+X أربعة هتساوي X تلاتة زاد A أربعة X تلاتة
+
+162
+00:22:19,270 --> 00:22:27,980
+اللي هي الفهو تلات مية تمانية ستين اربعة نص في ستة
+
+163
+00:22:27,980 --> 00:22:32,940
+في التمانية واربعين كم لدكتور الخط الاربعة تلاتين
+
+164
+00:22:32,940 --> 00:22:36,520
+سنة للاربعة تلاتين ايوة
+
+165
+00:22:58,500 --> 00:23:01,900
+احسنوا اللي هي ده ألف و خمسمية و أتناش ألف و
+
+166
+00:23:01,900 --> 00:23:09,680
+خمسمية و أتناش قدم طبعا السرعة الشمالة بتنزل مع أن
+
+167
+00:23:09,680 --> 00:23:15,080
+ال slow بيقل و بتصل السرعة لصفر مع أن ال slow هنا
+
+168
+00:23:15,080 --> 00:23:24,580
+إيش هكون أفقي هسير زي هيك عنده اللي
+
+169
+00:23:24,580 --> 00:23:27,580
+هي ألف و خمسمية و أتناش
+
+170
+00:23:31,420 --> 00:23:35,780
+ماشارقة ده ايش
+
+171
+00:23:35,780 --> 00:23:45,340
+المسافة بين a و b 1512 اللي هي xb minus xa اللي هي
+
+172
+00:23:45,340 --> 00:23:52,540
+1512 ماشارقة ده
+
+173
+00:23:52,540 --> 00:23:59,620
+في
+
+174
+00:23:59,620 --> 00:24:00,160
+اي سؤال
+
+175
+00:24:05,950 --> 00:24:08,910
+طيب يعني هنشوف كيف نعمل graphical representation
+
+176
+00:24:08,910 --> 00:24:12,890
+لل acceleration و ال ballistic و ال displacement
+
+177
+00:24:12,890 --> 00:24:21,670
+هنشوف
+
+178
+00:24:21,670 --> 00:24:29,030
+الموضوع التاني نحكي أن ممكن الجسم يتحرك
+
+179
+00:24:29,030 --> 00:24:34,050
+على خط مستقيمو ممكن تحرك على curve احنا لحتى
+
+180
+00:24:34,050 --> 00:24:40,250
+اللحظة غطينا الحركة على خط مستقيم الآن هنخط الجزء
+
+181
+00:24:40,250 --> 00:24:45,190
+التاني اللي هي حركة الجسم على curve زي ما انتوا
+
+182
+00:24:45,190 --> 00:24:53,050
+شايفين في عندى مبين اندي محاور احداثيات في ال
+
+183
+00:24:53,050 --> 00:24:58,430
+space XYZ هاي
+
+184
+00:24:58,430 --> 00:24:58,870
+X
+
+185
+00:25:01,580 --> 00:25:10,100
+YZ وفيه particle ماشي على مسار منحني في لحظة معينة
+
+186
+00:25:10,100 --> 00:25:15,400
+كان عند ال particle نقطة P وكان موقعه من مركز
+
+187
+00:25:15,400 --> 00:25:22,440
+الحدثيات R بعد فترة زمنية معينة Delta T صار عند P
+
+188
+00:25:22,440 --> 00:25:33,230
+prime وصار موقعه من مركز الحدثيات R primeالان صار
+
+189
+00:25:33,230 --> 00:25:39,630
+عندى الـ delta R طبعا هذا ال vector difference
+
+190
+00:25:39,630 --> 00:25:48,710
+vector difference اللى هو R زي delta R عشان
+
+191
+00:25:48,710 --> 00:25:52,330
+نحسب
+
+192
+00:25:52,330 --> 00:25:56,210
+السرعة السرعة
+
+193
+00:25:56,210 --> 00:25:57,130
+هي تغير
+
+194
+00:26:00,680 --> 00:26:07,080
+الـ vector r بالنسبة للزمن يعني كل ما delta r زغرت
+
+195
+00:26:07,080 --> 00:26:13,260
+كل ما وصلنا للقيمة اللحظية لل velocity فهتكون v
+
+196
+00:26:13,260 --> 00:26:18,040
+limit delta r as vector على delta t يعني هتكون dr
+
+197
+00:26:18,040 --> 00:26:22,620
+by dt ك vector الان قيمة
+
+198
+00:26:26,380 --> 00:26:30,260
+اللي هي المسافة اللي ماشيها على المنحنة Delta S
+
+199
+00:26:30,260 --> 00:26:40,120
+فقيمة الصورة هتكون DS by DT ككمية غير متجهة نفس
+
+200
+00:26:40,120 --> 00:26:43,800
+اللي يشيل ال X اللي ريحي عندي هي المراكز الحرسيات
+
+201
+00:26:43,800 --> 00:26:51,220
+X Y Z وفي عنديparticle ماشي على مصار منحنه في لحظة
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+202
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+معينة كان عند النقطة P واتجاه سرعته مماس للمصار
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+203
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+السرعة ده بتكون ايه؟ مماس للمصار V عن P prime مماس
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+204
+00:27:02,300 --> 00:27:09,780
+للمصار عن P prime واضح ان في تغير في الاتجاه وفي
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+205
+00:27:09,780 --> 00:27:17,170
+القيمة ال abstraction ك vector هكون d by dtلل V as
+
+206
+00:27:17,170 --> 00:27:22,070
+a vector مع الزمن هذه ال acceleration اللحظية بشكل
+
+207
+00:27:22,070 --> 00:27:28,470
+عام طبعا السرعة دايما بتكون مماس لمصار الحركة لكن
+
+208
+00:27:28,470 --> 00:27:32,590
+ال acceleration بشكل عام بتكون مش مماس لمصار
+
+209
+00:27:32,590 --> 00:27:38,550
+الحركة ممكن
+
+210
+00:27:38,550 --> 00:27:43,710
+استخدم الإحداثيات ال D كرتية عشان أعرف موقع
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+211
+00:27:43,710 --> 00:27:49,850
+particleفى لحظة عندى R هي ال position vector لل
+
+212
+00:27:49,850 --> 00:27:59,910
+particle R فى اتجاه ال X انه X كمية X X I فى اتجاه
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+213
+00:27:59,910 --> 00:28:05,970
+ال Y مراكز اتجاه ال Y Y J و مراكز اتجاه ال K ال I
+
+214
+00:28:05,970 --> 00:28:10,530
+و ال J و ال K هى unit vectors فى اتجاهات unit
+
+215
+00:28:10,530 --> 00:28:16,820
+vectors يعني متجهات قيمتها واحدو ال I في تجاه ال X
+
+216
+00:28:16,820 --> 00:28:24,680
+و ال J في تجاه ال Y و ال K في تجاه ال Z معناته ال
+
+217
+00:28:24,680 --> 00:28:32,900
+X هذه و ال Y و ال Z كمية متجهة ولا غير متجهة غير
+
+218
+00:28:32,900 --> 00:28:36,980
+متجهة على معرفة الكمية في تجاه ال X و الكمية في
+
+219
+00:28:36,980 --> 00:28:40,120
+تجاه ال Y و الكمية في تجاه ال Z و الاتجاه من خلال
+
+220
+00:28:40,120 --> 00:28:45,800
+ال Iو ال liking تواحد بس أنا مستخدم عشان يعطيهم
+
+221
+00:28:45,800 --> 00:28:58,020
+اتجاه اذا بدي احكي V بيستوى DR بلا DT ال
+
+222
+00:28:58,020 --> 00:29:08,200
+V ال R سواء X باتجاه I زي Y باتجاه J زي Z باتجاه K
+
+223
+00:29:10,020 --> 00:29:18,800
+ده بتحطه شحط على ال vector ال V سوى DR by DT سوى
+
+224
+00:29:18,800 --> 00:29:26,720
+DX by DT باتجاه ال I زاد اشتغلت لما في التاني زاد
+
+225
+00:29:26,720 --> 00:29:27,160
+X
+
+226
+00:29:30,300 --> 00:29:42,660
+by dt زائد dy by dt اتجاه ال j زائد y dj by dt
+
+227
+00:29:42,660 --> 00:29:56,480
+زائد dz by dt اتجاه ال k زائد z dk by dt
+
+228
+00:30:01,080 --> 00:30:07,820
+إذا كانت محارب دثيات ثابتة، المحارب
+
+229
+00:30:07,820 --> 00:30:15,000
+مش متحركة ولا بتدور، لا بتتحرك ولا بتدورمعناته
+
+230
+00:30:15,000 --> 00:30:21,120
+اتجاه ال I و ال J و ال K بتغير؟ ماتتغيرش و هو
+
+231
+00:30:21,120 --> 00:30:23,880
+أساسا قيمته واحد يعني قيمتي ثابتة و اتجاههم
+
+232
+00:30:23,880 --> 00:30:30,780
+ماتتغيرش ماتتغيرش معناته تكون ال D I و D T في حالة
+
+233
+00:30:30,780 --> 00:30:32,620
+المحور كانت ثابتة
+
+234
+00:30:35,050 --> 00:30:38,910
+لكن ما كانت تابعة بيكون اشي تاني بالصفة عند ال V
+
+235
+00:30:38,910 --> 00:30:47,430
+اللي هي DX by DT تجاه ال I زي ال DY by DT تجاه ال
+
+236
+00:30:47,430 --> 00:30:51,850
+J زي ال DZ by DT تجاه ال K
+
+237
+00:30:56,600 --> 00:31:01,280
+الكمبوننت للسرعة تجاه ال X VX تجاه ال I زاد VY
+
+238
+00:31:01,280 --> 00:31:09,120
+تجاه ال J زاد VZ تجاه ال K و نفس الشيء ال A سوى DV
+
+239
+00:31:09,120 --> 00:31:17,400
+by DT هتكون DVX by DT تجاه ال Iزي دي دي واي با دي
+
+240
+00:31:17,400 --> 00:31:19,760
+تي بتجاه ال J زي دي دي دي واي با دي تي بتجاه ال K
+
+241
+00:31:19,760 --> 00:31:24,140
+يعني هتكون لها ax تجاه ال I زي دي دي دي واي با دي
+
+242
+00:31:24,140 --> 00:31:28,700
+تجاه ال J زي دي دي دي با دي تجاه ال K و ال ax
+
+243
+00:31:28,700 --> 00:31:32,080
+بالساول هي دي دي واي با دي تي و ال ax دي دي واي با
+
+244
+00:31:32,080 --> 00:31:35,220
+دي تي و ال ax دي دي واي با دي تي و ال ax دي دي واي
+
+245
+00:31:35,220 --> 00:31:42,620
+با دي تي و ال ax دي دي زي با دي تي نشوف
+
+246
+00:31:42,620 --> 00:31:44,940
+ال motion of a projectile
+
+247
+00:32:00,240 --> 00:32:03,000
+بعرفش ليش بغير انا اللي انا بكون مظموط عنده 100%
+
+248
+00:32:03,000 --> 00:32:07,340
+العرض motion
+
+249
+00:32:07,340 --> 00:32:15,740
+of a projectile فندي مقضوف تم
+
+250
+00:32:15,740 --> 00:32:26,800
+إطلاقه من نقطة O طبعا هي المحور X هي المحور Y و تم
+
+251
+00:32:26,800 --> 00:32:37,790
+إطلاقه بالسرعة تدائيةV NOT V
+
+252
+00:32:37,790 --> 00:32:44,290
+NOT تعمل زاوية تاتا
+
+253
+00:32:44,290 --> 00:32:47,890
+الآن
+
+254
+00:32:47,890 --> 00:32:53,750
+المقضوف هيتحرك على خط مستقيم ولا على منحنى؟
+
+255
+00:32:55,840 --> 00:33:01,780
+وعلى فرض انه مافيش اذا كانت في الهوى مثلا مافيش
+
+256
+00:33:01,780 --> 00:33:09,740
+هوى جانبية يعني هترا المثلة 2D مش 3D يعني مافي
+
+257
+00:33:09,740 --> 00:33:15,720
+حركة باتجاه ال Z يعني هتكون في حركة along اللي هو
+
+258
+00:33:15,720 --> 00:33:19,780
+motion in
+
+259
+00:33:19,780 --> 00:33:22,600
+X فعندي motion
+
+260
+00:33:30,330 --> 00:33:39,430
+NY في اتجاه ال X انت اذا بتمشي أفقه في حالتان اذا
+
+261
+00:33:39,430 --> 00:33:46,610
+بتطلع طلعة تحس بالتعب صح؟ و اذا بتنزل نزول على
+
+262
+00:33:46,610 --> 00:33:52,210
+درجة بتحس انك فيش بيساعدك و اذا تمشي أفقه جاذبية
+
+263
+00:33:54,140 --> 00:33:58,900
+لأ بتساعدك ولا بتعمل ضدك ولا بتعمل معاك معناه في
+
+264
+00:33:58,900 --> 00:34:03,920
+اتجاه ال X ال AX ايش معناها؟ فش acceleration
+
+265
+00:34:03,920 --> 00:34:12,080
+مظلوط؟ في اتجاه ال Y ال AY لتحت و الموجة هتكون
+
+266
+00:34:12,080 --> 00:34:16,680
+سالب G و
+
+267
+00:34:16,680 --> 00:34:22,060
+احنا حاكينا الحركة اللي هي 2D يعني في ال Z فش انها
+
+268
+00:34:22,060 --> 00:34:26,360
+motionمعناته هنا دي النوع الحركة ياش uniform
+
+269
+00:34:26,360 --> 00:34:30,480
+velocity
+
+270
+00:34:30,480 --> 00:34:45,040
+صح هنا نوع الحركة uniform اتجاه ال Y معناته
+
+271
+00:34:45,040 --> 00:34:50,100
+uniform acceleration هكولن دي ال V بيستوى constant
+
+272
+00:34:50,100 --> 00:35:05,560
+بيستوى DXby DT يعني DX V DT يعني X minus X node V
+
+273
+00:35:05,560 --> 00:35:14,180
+في ال time يعني X plus X node زائد VT إذا كان X
+
+274
+00:35:14,180 --> 00:35:20,280
+node صفر بصير VT هنا عندي ال AY
+
+275
+00:35:41,900 --> 00:35:46,440
+تجاه ال Y ل
+
+276
+00:35:46,440 --> 00:35:58,550
+VY انا شغال بال Y direction هيك عندي VY-V Y node-G
+
+277
+00:35:58,550 --> 00:36:05,770
+T يعني V Y node
+
+278
+00:36:05,770 --> 00:36:08,950
+سالف
+
+279
+00:36:08,950 --> 00:36:14,230
+GT
+
+280
+00:36:28,470 --> 00:36:42,110
+طيب باتجاه ال y قاعد بالساوية dy y dt يعني y هتكون
+
+281
+00:36:42,110 --> 00:36:46,510
+سوى y node زاد
+
+282
+00:36:46,510 --> 00:36:53,690
+v y node t ناقص نص g
+
+283
+00:36:55,280 --> 00:37:00,500
+هي تربيع ايك
+
+284
+00:37:00,500 --> 00:37:04,560
+بكون انا وصفت
+
+285
+00:37:04,560 --> 00:37:11,920
+حركة المقنوف مع اهمال مقامة الهواء مع اهمال يعني
+
+286
+00:37:11,920 --> 00:37:17,860
+الفرضيات احنا
+
+287
+00:37:17,860 --> 00:37:24,620
+بحكي عن particle في الآخر اهمال مقامة
+
+288
+00:37:28,370 --> 00:37:38,110
+الهواء فقضيت تانية مافيش هبات هوائية جانبية لاوجود
+
+289
+00:37:38,110 --> 00:37:42,030
+لهبات
+
+290
+00:37:42,030 --> 00:37:48,610
+هوائية جانبية
+
+291
+00:37:56,590 --> 00:38:12,670
+شوف مثال a projectile
+
+292
+00:38:12,670 --> 00:38:18,510
+is fired from the edge of a 150 cliff with an
+
+293
+00:38:18,510 --> 00:38:21,910
+inertia velocity of 180 meter per secondat an
+
+294
+00:38:21,910 --> 00:38:24,670
+angle of 30 degree with a horizontal في عند مقضوف
+
+295
+00:38:24,670 --> 00:38:31,730
+تم إطلاقه من حافة منحدر بسرعة 180 meter per second
+
+296
+00:38:31,730 --> 00:38:38,610
+بزاوية تلاتين درجة neglecting air resistance إذا
+
+297
+00:38:38,610 --> 00:38:43,540
+تم إهمال مقاومة الهواءfind horizontal distance
+
+298
+00:38:43,540 --> 00:38:46,560
+from the gun to the point where the projectile
+
+299
+00:38:46,560 --> 00:38:52,020
+strikes the ground اوزد المسافة من لحظة .. من
+
+300
+00:38:52,020 --> 00:39:00,540
+بداية الإطلاق لحد ما المكذوف نزل على الأرض اول
+
+301
+00:39:00,540 --> 00:39:03,620
+شي في اي مثل زيك أو في كل مثل ديناميكا لازم ايش
+
+302
+00:39:03,620 --> 00:39:08,340
+احط محاور لحدثيات ممكن
+
+303
+00:39:08,340 --> 00:39:12,840
+احط في مكان .. يعني مكان سهلمش شرط زي ما انا احطه
+
+304
+00:39:12,840 --> 00:39:23,500
+يكون هو الحل الوحيد بدي احطه انا هنا عندي هاي X و
+
+305
+00:39:23,500 --> 00:39:30,180
+هاي Y و فين دي حركة بتجاه ال X و حركة بتجاه ال Y
+
+306
+00:39:30,180 --> 00:39:33,580
+عندي
+
+307
+00:39:33,580 --> 00:39:33,960
+motion
+
+308
+00:39:37,370 --> 00:39:44,810
+in x direction and motion in
+
+309
+00:39:44,810 --> 00:39:50,170
+y الآن
+
+310
+00:39:50,170 --> 00:39:55,690
+انا حاطط هذه المركزات اللي هيت اوه معناه اكس نوت
+
+311
+00:39:55,690 --> 00:40:04,770
+ده بيستوي زيرو اكس نوت بيستوي زيرو و Y نوت بيستوي
+
+312
+00:40:04,770 --> 00:40:05,230
+زيرو
+
+313
+00:40:08,560 --> 00:40:14,920
+وين حاطز انا المحاور لو حاطزها انتحت صح كلامك اقصد
+
+314
+00:40:14,920 --> 00:40:19,520
+ال X
+
+315
+00:40:19,520 --> 00:40:26,680
+هيناقش نوع الحركة uniform velocity
+
+316
+00:40:26,680 --> 00:40:31,060
+صح يعني
+
+317
+00:40:31,060 --> 00:40:44,720
+ال VX بستوي اللي هي V nodeCos ايش؟ تلاتين يعني
+
+318
+00:40:44,720 --> 00:40:51,200
+هتكون ال V naught اللي هو مية و تمانين في point
+
+319
+00:40:51,200 --> 00:41:00,900
+تمانية ستة ستة ايه كم تطلع؟
+
+320
+00:41:00,900 --> 00:41:03,100
+بالظبط
+
+321
+00:41:11,510 --> 00:41:15,910
+متر per second طيب
+
+322
+00:41:15,910 --> 00:41:23,250
+VY هنا دي uniform acceleration
+
+323
+00:41:23,250 --> 00:41:27,170
+يعني
+
+324
+00:41:27,170 --> 00:41:33,710
+Ay سواء نقطة تسعة point تمانية سفر ستة متر per
+
+325
+00:41:33,710 --> 00:41:45,250
+second squareطيب V Y ند سرعة ابتدائية اتجاه Y V ند
+
+326
+00:41:45,250 --> 00:41:59,390
+V ند سن تلتين يعني هتكون مية و تمانين في نص تسعين
+
+327
+00:41:59,390 --> 00:42:01,730
+متر per second
+
+328
+00:42:05,880 --> 00:42:12,200
+يعني الحكاية هي uniform velocity معناته x minus x
+
+329
+00:42:12,200 --> 00:42:19,680
+naught بيستوى vx في ال time x naught اه كم كنتها؟
+
+330
+00:42:19,680 --> 00:42:28,700
+zero يعني x هتكون vx اللي هي 155.8 في ال T
+
+331
+00:42:37,000 --> 00:42:44,280
+أحنا هنا لدينا uniform acceleration يعني VY VY ند
+
+332
+00:42:44,280 --> 00:42:50,220
+زاد
+
+333
+00:42:50,220 --> 00:42:54,020
+A
+
+334
+00:42:54,020 --> 00:43:00,820
+في T صح؟ اللي هي minus minus
+
+335
+00:43:00,820 --> 00:43:04,960
+9.806 في T
+
+336
+00:43:09,200 --> 00:43:15,800
+يعني هتساوي تسعين minus تسعة point تمانية سفر ستة
+
+337
+00:43:15,800 --> 00:43:21,620
+T هذا ال VY و
+
+338
+00:43:21,620 --> 00:43:33,320
+ال Y بيساوي Y not زائد VY not T
+
+339
+00:43:35,100 --> 00:43:51,460
+زائد مص اي تتربيع يعني هتكون صفر زائد تسعين في
+
+340
+00:43:51,460 --> 00:44:00,480
+تي ناقص في اي تسعة تتربيع
+
+341
+00:44:00,480 --> 00:44:08,170
+يعني ال Y هتكون تساويتسين تي نقص اربع بون تسعة سفر
+
+342
+00:44:08,170 --> 00:44:15,850
+تلاتة تتاربع هذه المعادلة تلاتة
+
+343
+00:44:15,850 --> 00:44:20,230
+طيب هو ايش طالب horizontal distance from the gun
+
+344
+00:44:20,230 --> 00:44:30,270
+بده ال X يا عزيزي ال X الان
+
+345
+00:44:30,270 --> 00:44:31,890
+كيف حاجة ال X
+
+346
+00:44:36,070 --> 00:44:42,490
+add to the ground الواي
+
+347
+00:44:42,490 --> 00:44:50,210
+ايش يكون مستوى سالب مية وخمسين بالساوية تسعين ت
+
+348
+00:44:50,210 --> 00:44:55,890
+ناقص اربعة ابون تسعة سفر تلاتة تتربيه نضرب الطرفين
+
+349
+00:44:55,890 --> 00:45:03,310
+minus plus minus plus يعني اربعة ابون تسعة سفر
+
+350
+00:45:03,310 --> 00:45:04,750
+تلاتة تتربيه
+
+351
+00:45:06,990 --> 00:45:15,030
+-90T-150 بصفر صفر ومنها T بحسبها تسعين زائد او
+
+352
+00:45:15,030 --> 00:45:20,450
+ناقص جزر التربية يعني لتسعين تربية minus minus
+
+353
+00:45:20,450 --> 00:45:26,790
+plus زائد اربعة في اربعة upon تسعة صفر تلاتة في
+
+354
+00:45:26,790 --> 00:45:32,810
+مية وخمسين طبعا حلغ ال minus هناعلى اتنين في اربع
+
+355
+00:45:32,810 --> 00:45:37,690
+point تسعة سفر تلاتة و منها بحسب ال T T when
+
+356
+00:45:37,690 --> 00:45:41,890
+hitting the ground بعوض
+
+357
+00:45:41,890 --> 00:45:46,890
+هنا X when hitting the ground بيستخدم مية و خمسة و
+
+358
+00:45:46,890 --> 00:45:58,270
+خمسين point تمانية في ال T hit اكم طلع معنا طلع
+
+359
+00:45:58,270 --> 00:45:58,850
+معنا دقيقة
+
+360
+00:46:02,420 --> 00:46:05,660
+هذا المطلوب الأول المطلوب التاني greatest
+
+361
+00:46:05,660 --> 00:46:08,060
+elevation above the ground reached by the
+
+362
+00:46:08,060 --> 00:46:12,260
+projectile
+
+363
+00:46:12,260 --> 00:46:16,160
+مية
+
+364
+00:46:16,160 --> 00:46:18,880
+و خمسة و خمسين عادى في point تمانية في تسعة عشر
+
+365
+00:46:22,090 --> 00:46:25,950
+و انا بحسب ال X hat المطلوب التاني greatest
+
+366
+00:46:25,950 --> 00:46:28,350
+elevation above the ground reached by the
+
+367
+00:46:28,350 --> 00:46:36,450
+projectile and at the greatest elevation
+
+368
+00:46:36,450 --> 00:46:46,250
+بتكون ال VY تساوي صفر بتساوي تسعيننقص تسعة بون
+
+369
+00:46:46,250 --> 00:46:59,290
+تمانية سفر ستة T ومنها بحسب ال T طيب
+
+370
+00:46:59,290 --> 00:47:06,610
+اكم بتطلع T greatest elevation ومنها
+
+371
+00:47:06,610 --> 00:47:10,170
+بحسب Y
+
+372
+00:47:16,520 --> 00:47:24,920
+greatest بعود في المعادلة هذه بعدين
+
+373
+00:47:24,920 --> 00:47:29,920
+ال total y من الأرض total y هتكون ال y greatest زي
+
+374
+00:47:29,920 --> 00:47:35,700
+150 زي 150 اكل خلص خلصنا تاكل عافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/XEJFlhRgiKo_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/XEJFlhRgiKo_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e7b7918e7f9cc481f12cfec885cd7c885fcb1c56
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/XEJFlhRgiKo_raw.srt
@@ -0,0 +1,1496 @@
+1
+00:00:04,910 --> 00:00:07,530
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,530 --> 00:00:11,590
+وبركاته هنكمل في مادة الميكانيكا chapter الاول
+
+3
+00:00:11,590 --> 00:00:15,790
+kinematics of particles المحاضرة اللي فات حكينا عن
+
+4
+00:00:15,790 --> 00:00:20,290
+ال graphical solution of kinematic problems هنشوف
+
+5
+00:00:20,290 --> 00:00:25,190
+كيف نتعامل مع مسائل ال kinematic باستخدام الطرق ال
+
+6
+00:00:25,190 --> 00:00:26,430
+graphs او ال graphing
+
+7
+00:00:35,540 --> 00:00:43,100
+عنا a car leaves station a car leaves station a
+
+8
+00:00:43,100 --> 00:00:51,180
+عند سيارة بتغادر
+
+9
+00:00:51,180 --> 00:00:56,960
+محطة a خلنا نقرأ المثل و بعدين نلخصه it gains
+
+10
+00:00:56,960 --> 00:01:02,760
+speed طب معناته it leaves لما تغادر بتغادر الشجرة
+
+11
+00:01:02,760 --> 00:01:07,610
+بتبدأ من حركتها من السكونit gains speed at the
+
+12
+00:01:07,610 --> 00:01:10,390
+rate of four feet per second for six seconds
+
+13
+00:01:10,390 --> 00:01:14,190
+بسرعتها
+
+14
+00:01:14,190 --> 00:01:18,650
+بزيد بمعدل أربع قدم في الثانية لكل ثانية في أول ست
+
+15
+00:01:18,650 --> 00:01:25,170
+ثانية and then at the rate of six feet per second
+
+16
+00:01:25,170 --> 00:01:32,010
+squared بعدين سرعتها تتزال بتسهر أكبر قيمته ستة
+
+17
+00:01:32,010 --> 00:01:36,510
+قدم على الثانية لكل ثانيةلحد ما تصل سرعتها تمانية
+
+18
+00:01:36,510 --> 00:01:42,710
+و اربعين قدم في الثانية the car maintains the same
+
+19
+00:01:42,710 --> 00:01:45,570
+speed بيبقى على نفس السرعة تمانية و اربعين قدم في
+
+20
+00:01:45,570 --> 00:01:52,510
+الثانية until it approaches station B لحد ما تقترب
+
+21
+00:01:52,510 --> 00:01:59,050
+من المحطة D اقتربت لكن ماوصلتش يعني لسه بقال في
+
+22
+00:01:59,050 --> 00:02:04,450
+مسافة عشان تصلbreaks are then applied استخدم
+
+23
+00:02:04,450 --> 00:02:10,410
+البركات giving the car a constant deceleration لما
+
+24
+00:02:10,410 --> 00:02:21,270
+نستخدم البركات هتنزل السرعة يعني بعجلة تناقصية في
+
+25
+00:02:21,270 --> 00:02:26,170
+ست ثواني the total running time from A to B is
+
+26
+00:02:26,170 --> 00:02:37,010
+forty second الرحلة أربعين ثانيةDraw the A, T, V,
+
+27
+00:02:37,170 --> 00:02:43,990
+T and X, T curves ارسم العجلة مع الزمن والسرعة مع
+
+28
+00:02:43,990 --> 00:02:49,490
+الزمن والإزاها مع الزمن and determine the distance
+
+29
+00:02:49,490 --> 00:02:53,170
+between stations A and B ووجد المسافة بين المحطة A
+
+30
+00:02:53,170 --> 00:03:00,110
+ومحطة B فانا برجع كمان مرة طبعا انا بدي اعمل plot
+
+31
+00:03:01,290 --> 00:03:14,190
+لل a و ال v و ال x كدالة مع الزمن عندي
+
+32
+00:03:14,190 --> 00:03:18,690
+التحت هتكون عندي انها
+
+33
+00:03:18,690 --> 00:03:24,310
+الزمن و اول شيه ال acceleration اول شيه ال total
+
+34
+00:03:24,310 --> 00:03:24,710
+time
+
+35
+00:03:34,870 --> 00:03:45,730
+total time اكم؟ اربعين يعني اقصى الزمن اربعين
+
+36
+00:03:45,730 --> 00:03:50,990
+خلينا نقسم درجة الزمن اندي اربعين معناته نصها
+
+37
+00:03:50,990 --> 00:03:55,030
+هتكون عشرين
+
+38
+00:03:55,030 --> 00:03:59,530
+عشرة
+
+39
+00:03:59,530 --> 00:04:03,490
+تلاتين
+
+40
+00:04:08,510 --> 00:04:14,450
+خمسة خمستاش خمسة
+
+41
+00:04:14,450 --> 00:04:18,310
+و عشرين خمسة
+
+42
+00:04:18,310 --> 00:04:18,810
+و تلاتين
+
+43
+00:05:25,500 --> 00:05:29,780
+السيارة بتغادر محطة A بسرعة ابتدائية صفر يعني عندي
+
+44
+00:05:29,780 --> 00:05:35,760
+هي اللي حكيت هي ال V برضه
+
+45
+00:05:35,760 --> 00:05:42,040
+هي ال time هي
+
+46
+00:05:42,040 --> 00:05:48,560
+ال zero وهي
+
+47
+00:05:48,560 --> 00:05:48,940
+ال V
+
+48
+00:05:52,490 --> 00:05:59,290
+بتبدأ من صفر it gains
+
+49
+00:05:59,290 --> 00:06:01,990
+speed at the rate of four feet per second squared
+
+50
+00:06:01,990 --> 00:06:09,430
+for six seconds أول ست ثواني هي ستة
+
+51
+00:06:09,430 --> 00:06:12,710
+التسارع
+
+52
+00:06:12,710 --> 00:06:18,450
+ثابت كنت أربع قدم على ثاني تربيع
+
+53
+00:06:26,490 --> 00:06:32,790
+اربعة foot per second square
+
+54
+00:06:32,790 --> 00:06:39,350
+العجلة
+
+55
+00:06:39,350 --> 00:06:46,830
+كانت منتظرة ال
+
+56
+00:06:46,830 --> 00:06:50,190
+a ما هي بيساوي ايش ال a
+
+57
+00:06:55,030 --> 00:07:06,250
+VDV A بساوي DV بقى DT يعني
+
+58
+00:07:06,250 --> 00:07:16,790
+DV A DT يعني عملنا تكامل هنبدأ نقل و أسميها O
+
+59
+00:07:22,530 --> 00:07:27,630
+من V node او اللي كانت في الحالة دي ايش ساوي؟ صفر
+
+60
+00:07:27,630 --> 00:07:39,570
+ل V واحد وهنا من صفر ل T واحد هنا هتكون ال V واحد
+
+61
+00:07:39,570 --> 00:07:48,170
+هتستوى ال area تحت ال exploration صح؟ اللي هي A T
+
+62
+00:07:48,170 --> 00:07:54,810
+واحدت واحد ايش بالساوية ستة ستة يعني اربع في ستة
+
+63
+00:07:54,810 --> 00:08:08,330
+اربع و عشرين اربع
+
+64
+00:08:08,330 --> 00:08:14,150
+و عشرين هذه ت واحد عند ت واحد
+
+65
+00:08:19,250 --> 00:08:33,770
+بساوة ست ثانية هذه اربعة و عشرين قدم كل ثانية and
+
+66
+00:08:33,770 --> 00:08:38,170
+then at
+
+67
+00:08:38,170 --> 00:08:44,470
+the rate of six feet per second square بعدين مشيت
+
+68
+00:08:44,470 --> 00:08:46,770
+بتسارع قيمته
+
+69
+00:08:50,430 --> 00:08:58,910
+مش عارفين هو يكتشف حتة رزانية قيمته ستة per
+
+70
+00:08:58,910 --> 00:09:05,210
+second square طيب
+
+71
+00:09:31,990 --> 00:09:37,790
+until it has reached the speed of 48 feet per
+
+72
+00:09:37,790 --> 00:09:43,450
+second لحد موصلت سلعتها وراها من ال slope ستة
+
+73
+00:09:43,450 --> 00:09:57,630
+السلوب أعلى من أربعة صح؟هتصير اشي زهق عنها الان
+
+74
+00:09:57,630 --> 00:10:10,110
+انا بحاكي برضه تكامل DV من V1 ل V2 سواء تكامل من
+
+75
+00:10:10,110 --> 00:10:26,340
+T1ل T2 ل A2 DT يعني V8 minus V1 سواء A2 في T2 يعني
+
+76
+00:10:26,340 --> 00:10:41,480
+V8 سواء V1 اللي هو 24 صح زاد ال A2 اللي هي 6 في T2
+
+77
+00:10:43,090 --> 00:10:52,590
+-T1 أكم 6 طيب هو بيحكي ليه V2 ضالة ماشي بتسارع ستة
+
+78
+00:10:52,590 --> 00:10:55,050
+قدم على ثانية تربية لحد ما V2 صارت تمانية وأربعين
+
+79
+00:10:55,050 --> 00:11:02,190
+يعني اللي عوضت هنا تمانية وأربعين سواء أربع وعشرين
+
+80
+00:11:02,190 --> 00:11:09,010
+زاد ستة في T2 لاقل ستة يعني T يعني عندك هستير أربع
+
+81
+00:11:09,010 --> 00:11:14,890
+وعشرين على ستة أكماربع يعني T اتنين شو يستاوي عشرة
+
+82
+00:11:14,890 --> 00:11:18,810
+second معناته
+
+83
+00:11:18,810 --> 00:11:22,890
+هذه
+
+84
+00:11:22,890 --> 00:11:30,670
+T اتنين سرعة كم صارت سرعة تمانية واربعين
+
+85
+00:11:44,830 --> 00:11:49,950
+the car maintains the same speed حافظ على السرعة
+
+86
+00:11:49,950 --> 00:11:51,790
+التمانية و أربعين مانعته ال acceleration هتكون بعد
+
+87
+00:11:51,790 --> 00:11:58,210
+أياش صفر until
+
+88
+00:11:58,210 --> 00:12:03,650
+it approaches station B brakes are then applied
+
+89
+00:12:03,650 --> 00:12:10,210
+يعني حافظ على السرعة تمانية
+
+90
+00:12:10,210 --> 00:12:15,970
+و أربعينلما اقتربت مش عارفة هنا المسافة لما اقتربت
+
+91
+00:12:15,970 --> 00:12:23,570
+من ال station B استخدم البريكات اعطل السيارة عجلة
+
+92
+00:12:23,570 --> 00:12:31,690
+تناقصية لحد ما توقفت في ست ثواني يعني
+
+93
+00:12:31,690 --> 00:12:39,650
+معناته هو وصل هنا يعني هنا ضلتها بسرعة ثابتة
+
+94
+00:12:44,810 --> 00:12:49,510
+لحد اربعة و تلاتين second لان هو صار توقف آخر في
+
+95
+00:12:49,510 --> 00:12:59,170
+ست ثانية هاي التوقف من
+
+96
+00:12:59,170 --> 00:13:02,470
+ال acceleration من عشرة لاربعة و تلاتين بالساوية
+
+97
+00:13:02,470 --> 00:13:07,690
+الصفر خلنا
+
+98
+00:13:07,690 --> 00:13:08,650
+نحكي ايه التلاتة
+
+99
+00:13:11,990 --> 00:13:21,370
+بالساوية سفر فترة زمان يتيه بين عشرة لاربعة و
+
+100
+00:13:21,370 --> 00:13:27,450
+تلاتين من
+
+101
+00:13:27,450 --> 00:13:35,790
+اربعة و تلاتين لاربعين ال A4 هتكون سفر ماقص تانية
+
+102
+00:13:35,790 --> 00:13:39,530
+و اربعين على
+
+103
+00:13:39,530 --> 00:13:48,010
+ستة صح؟اللي ناقص تمانية قدم على ال second square
+
+104
+00:13:48,010 --> 00:13:57,110
+يعني هنا ستكون سالب تمانية
+
+105
+00:14:14,570 --> 00:14:18,750
+هذه ال acceleration لان
+
+106
+00:14:18,750 --> 00:14:23,230
+انا عملت صارت المعروف ال acceleration وصارت معروف
+
+107
+00:14:23,230 --> 00:14:28,190
+ال velocity هذه
+
+108
+00:14:28,190 --> 00:14:36,410
+هتكون T3 T3
+
+109
+00:14:36,410 --> 00:14:41,530
+هي هتكون اربعة
+
+110
+00:14:41,530 --> 00:14:42,110
+وتلاتين
+
+111
+00:14:45,230 --> 00:14:58,630
+second لأ بده ارسم ال displacement هاي
+
+112
+00:14:58,630 --> 00:15:05,290
+ال time هاي
+
+113
+00:15:05,290 --> 00:15:08,370
+ال T واحد T اتنين
+
+114
+00:15:11,740 --> 00:15:19,280
+T تلاتة T واحد اللي هي ستة هذه عشرة وهذه أربعة و
+
+115
+00:15:19,280 --> 00:15:24,480
+تلاتين ال
+
+116
+00:15:24,480 --> 00:15:28,600
+V إيش ساوي DX
+
+117
+00:15:28,600 --> 00:15:38,900
+على DT يعني DX بالساوية VDT
+
+118
+00:15:42,910 --> 00:15:47,530
+كامل احنا هنحكي المركز الحدثيات موجود عند نقطة A
+
+119
+00:15:47,530 --> 00:15:55,890
+يعني هعتبره طالع من صفر من صفر هنحكي
+
+120
+00:15:55,890 --> 00:16:06,640
+لها X واحد وهين صفر لل T واحد يعني X واحدهتكون
+
+121
+00:16:06,640 --> 00:16:12,140
+تكامل ل VDT من صفر ل T واحد يعني هتكون مساحة
+
+122
+00:16:12,140 --> 00:16:22,700
+المثلثة فهذه هسميها أيش ال area واحد area
+
+123
+00:16:22,700 --> 00:16:29,380
+واحد ايش ساعة مصر في
+
+124
+00:16:29,380 --> 00:16:32,620
+ستة
+
+125
+00:16:32,620 --> 00:16:42,370
+في أربع وعشرينيعني انا كام؟ اتنين و سبعين يعني
+
+126
+00:16:42,370 --> 00:16:51,990
+اكس واحد هتكون تساوي اكس واحد هتكون ا واحد ليه
+
+127
+00:16:51,990 --> 00:17:00,750
+اتنين و سبعين قدم الان
+
+128
+00:17:00,750 --> 00:17:08,100
+ال V هي ال slope لل Xو ال slope بزيد، يعني ال x
+
+129
+00:17:08,100 --> 00:17:15,040
+هتكون طالع بالشكل هذا و لا بالشكل هذا يعني
+
+130
+00:17:15,040 --> 00:17:20,580
+اندي حالة زي هيك الأول عشان ال slope بزيد وهي ال
+
+131
+00:17:20,580 --> 00:17:22,800
+slope الساوية زيها ويعني منهم بدت
+
+132
+00:17:34,380 --> 00:17:47,080
+هذه هتكون اكم 72 احنا
+
+133
+00:17:47,080 --> 00:18:01,080
+المفروض على 6 سيطلع طبعا
+
+134
+00:18:01,080 --> 00:18:01,620
+مش linear
+
+135
+00:18:15,190 --> 00:18:21,030
+لأن هيكون x2 نقص
+
+136
+00:18:21,030 --> 00:18:26,570
+x1 بسوة
+
+137
+00:18:26,570 --> 00:18:34,690
+ال area التانية هذه نسميها a2 بسوة
+
+138
+00:18:34,690 --> 00:18:47,690
+a2 اللي هي تكاملVDT من T1 ل T2 يعني X2 سواء X1
+
+139
+00:18:47,690 --> 00:18:51,890
+اللي هي 72 زائد
+
+140
+00:18:51,890 --> 00:19:03,530
+اتنين شويهم الحرف يعني نص في أربع عشرين زائد تباني
+
+141
+00:19:03,530 --> 00:19:06,490
+و أربعين الارتفاع بتاعها أياش
+
+142
+00:19:11,590 --> 00:19:14,930
+اربع انا هاكول عندى اربع و عشرين تمانية عالية
+
+143
+00:19:14,930 --> 00:19:20,450
+اتنين و سمية عالية اتنين ستة و تلاتين في اربع مية
+
+144
+00:19:20,450 --> 00:19:25,910
+و اربع و اربعين هزوط زاد اتنين مية و ستة و اربعين
+
+145
+00:19:25,910 --> 00:19:32,930
+ميتين و ستاش هزوط قدم
+
+146
+00:19:43,460 --> 00:19:50,760
+السلوب برضه بزيدي يعني السلوب هنا كان قيمته اكم
+
+147
+00:19:50,760 --> 00:19:56,880
+اربع و عشرين هنا هتصير اكم
+
+148
+00:19:56,880 --> 00:20:02,140
+اعدل القيمة بالتان و ستاشر
+
+149
+00:20:09,630 --> 00:20:18,130
+في الفترة من T2 ل T3 السرعة أشمالها ثابتة، صح؟
+
+150
+00:20:18,130 --> 00:20:31,470
+معناته هكمل Linear يعني هنحسب A3 هذه
+
+151
+00:20:31,470 --> 00:20:32,330
+كلها A3
+
+152
+00:20:44,240 --> 00:20:52,340
+A ثلاثة او نحكي X ثلاثة minus X اتنين بالسواء A
+
+153
+00:20:52,340 --> 00:21:01,280
+ثلاثة يعني X ثلاثة هي سواء X اتنين زائد A ثلاثة X
+
+154
+00:21:01,280 --> 00:21:06,320
+اتنين اللي هي مائتين و ستاش زائد A ثلاثة اللي هي
+
+155
+00:21:06,320 --> 00:21:13,200
+هتكون اربع و عشرين في التمانية و اربعين
+
+156
+00:21:16,710 --> 00:21:29,630
+2442 ارشد 576 كل ما بيطلع الف و ألف و أكم بيطلع
+
+157
+00:21:29,630 --> 00:21:34,230
+الف تلت مية قدم
+
+158
+00:21:34,230 --> 00:21:43,990
+هيطلع linear يعني عدل احد
+
+159
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+في التمانية واربعين كم لدكتور الخط الاربعة تلاتين
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+زائد dz by dt اتجاه ال k زائد z dk by dt
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+إذا كانت محارب دثيات ثابتة، المحارب
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+motion in
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+X فعندي motion
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+سالب G و
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+الهواء فقضيت تانية مافيش هبات هوائية جانبية لاوجود
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+هوائية جانبية
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+291
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+angle of 30 degree with a horizontal في عند مقضوف
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+تم إطلاقه من حافة منحدر بسرعة 180 meter per second
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+296
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+297
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+تم إهمال مقاومة الهواءfind horizontal distance
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+298
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+from the gun to the point where the projectile
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+299
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+strikes the ground اوزد المسافة من لحظة .. من
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+300
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+بداية الإطلاق لحد ما المكذوف نزل على الأرض اول
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+شي في اي مثل زيك أو في كل مثل ديناميكا لازم ايش
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+عندي
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+307
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+motion
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+in x direction and motion in
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+309
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+y الآن
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+انا حاطط هذه المركزات اللي هيت اوه معناه اكس نوت
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+زيرو
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+تمانية ستة ستة ايه كم تطلع؟
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+متر per second طيب
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+322
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+يعني
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+324
+00:41:27,170 --> 00:41:33,710
+Ay سواء نقطة تسعة point تمانية سفر ستة متر per
+
+325
+00:41:33,710 --> 00:41:45,250
+second squareطيب V Y ند سرعة ابتدائية اتجاه Y V ند
+
+326
+00:41:45,250 --> 00:41:59,390
+V ند سن تلتين يعني هتكون مية و تمانين في نص تسعين
+
+327
+00:41:59,390 --> 00:42:01,730
+متر per second
+
+328
+00:42:05,880 --> 00:42:12,200
+يعني الحكاية هي uniform velocity معناته x minus x
+
+329
+00:42:12,200 --> 00:42:19,680
+naught بيستوى vx في ال time x naught اه كم كنتها؟
+
+330
+00:42:19,680 --> 00:42:28,700
+zero يعني x هتكون vx اللي هي 155.8 في ال T
+
+331
+00:42:37,000 --> 00:42:44,280
+أحنا هنا لدينا uniform acceleration يعني VY VY ند
+
+332
+00:42:44,280 --> 00:42:50,220
+زاد
+
+333
+00:42:50,220 --> 00:42:54,020
+A
+
+334
+00:42:54,020 --> 00:43:00,820
+في T صح؟ اللي هي minus minus
+
+335
+00:43:00,820 --> 00:43:04,960
+9.806 في T
+
+336
+00:43:09,200 --> 00:43:15,800
+يعني هتساوي تسعين minus تسعة point تمانية سفر ستة
+
+337
+00:43:15,800 --> 00:43:21,620
+T هذا ال VY و
+
+338
+00:43:21,620 --> 00:43:33,320
+ال Y بيساوي Y not زائد VY not T
+
+339
+00:43:35,100 --> 00:43:51,460
+زائد مص اي تتربيع يعني هتكون صفر زائد تسعين في
+
+340
+00:43:51,460 --> 00:44:00,480
+تي ناقص في اي تسعة تتربيع
+
+341
+00:44:00,480 --> 00:44:08,170
+يعني ال Y هتكون تساويتسين تي نقص اربع بون تسعة سفر
+
+342
+00:44:08,170 --> 00:44:15,850
+تلاتة تتاربع هذه المعادلة تلاتة
+
+343
+00:44:15,850 --> 00:44:20,230
+طيب هو ايش طالب horizontal distance from the gun
+
+344
+00:44:20,230 --> 00:44:30,270
+بده ال X يا عزيزي ال X الان
+
+345
+00:44:30,270 --> 00:44:31,890
+كيف حاجة ال X
+
+346
+00:44:36,070 --> 00:44:42,490
+add to the ground الواي
+
+347
+00:44:42,490 --> 00:44:50,210
+ايش يكون مستوى سالب مية وخمسين بالساوية تسعين ت
+
+348
+00:44:50,210 --> 00:44:55,890
+ناقص اربعة ابون تسعة سفر تلاتة تتربيه نضرب الطرفين
+
+349
+00:44:55,890 --> 00:45:03,310
+minus plus minus plus يعني اربعة ابون تسعة سفر
+
+350
+00:45:03,310 --> 00:45:04,750
+تلاتة تتربيه
+
+351
+00:45:06,990 --> 00:45:15,030
+-90T-150 بصفر صفر ومنها T بحسبها تسعين زائد او
+
+352
+00:45:15,030 --> 00:45:20,450
+ناقص جزر التربية يعني لتسعين تربية minus minus
+
+353
+00:45:20,450 --> 00:45:26,790
+plus زائد اربعة في اربعة upon تسعة صفر تلاتة في
+
+354
+00:45:26,790 --> 00:45:32,810
+مية وخمسين طبعا حلغ ال minus هناعلى اتنين في اربع
+
+355
+00:45:32,810 --> 00:45:37,690
+point تسعة سفر تلاتة و منها بحسب ال T T when
+
+356
+00:45:37,690 --> 00:45:41,890
+hitting the ground بعوض
+
+357
+00:45:41,890 --> 00:45:46,890
+هنا X when hitting the ground بيستخدم مية و خمسة و
+
+358
+00:45:46,890 --> 00:45:58,270
+خمسين point تمانية في ال T hit اكم طلع معنا طلع
+
+359
+00:45:58,270 --> 00:45:58,850
+معنا دقيقة
+
+360
+00:46:02,420 --> 00:46:05,660
+هذا المطلوب الأول المطلوب التاني greatest
+
+361
+00:46:05,660 --> 00:46:08,060
+elevation above the ground reached by the
+
+362
+00:46:08,060 --> 00:46:12,260
+projectile
+
+363
+00:46:12,260 --> 00:46:16,160
+مية
+
+364
+00:46:16,160 --> 00:46:18,880
+و خمسة و خمسين عادى في point تمانية في تسعة عشر
+
+365
+00:46:22,090 --> 00:46:25,950
+و انا بحسب ال X hat المطلوب التاني greatest
+
+366
+00:46:25,950 --> 00:46:28,350
+elevation above the ground reached by the
+
+367
+00:46:28,350 --> 00:46:36,450
+projectile and at the greatest elevation
+
+368
+00:46:36,450 --> 00:46:46,250
+بتكون ال VY تساوي صفر بتساوي تسعيننقص تسعة بون
+
+369
+00:46:46,250 --> 00:46:59,290
+تمانية سفر ستة T ومنها بحسب ال T طيب
+
+370
+00:46:59,290 --> 00:47:06,610
+اكم بتطلع T greatest elevation ومنها
+
+371
+00:47:06,610 --> 00:47:10,170
+بحسب Y
+
+372
+00:47:16,520 --> 00:47:24,920
+greatest بعود في المعادلة هذه بعدين
+
+373
+00:47:24,920 --> 00:47:29,920
+ال total y من الأرض total y هتكون ال y greatest زي
+
+374
+00:47:29,920 --> 00:47:35,700
+150 زي 150 اكل خلص خلصنا تاكل عافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/_uGiq0MlIsk.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/_uGiq0MlIsk.srt
new file mode 100644
index 0000000000000000000000000000000000000000..720142b010cad40a2281f27744d471aec2626ebd
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/_uGiq0MlIsk.srt
@@ -0,0 +1,1400 @@
+1
+00:00:05,010 --> 00:00:07,550
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,550 --> 00:00:10,470
+وبركاته هنكمل في مادة الديناميكا، فكنا في ال
+
+3
+00:00:10,470 --> 00:00:14,390
+chapter الأخير، كنا نحكي عن ال energy and momentum
+
+4
+00:00:14,390 --> 00:00:17,770
+methods of rigid bodies. في آخره حكينا rolling
+
+5
+00:00:17,770 --> 00:00:22,430
+motions. حلينا example أو two examples. اليوم هنكمل
+
+6
+00:00:22,430 --> 00:00:25,170
+الحل، مجموع ال examples، بعدين نخش على ال section
+
+7
+00:00:25,170 --> 00:00:30,910
+التالية. نشوف example سبعة، تلاتة: sphere, cylinder
+
+8
+00:00:30,910 --> 00:00:36,230
+and hoop. عندي الشكل اللي احنا شايفينه، ممكن يكون كرة
+
+9
+00:00:36,230 --> 00:00:42,270
+أو استوانة أو أنبوب، each having the same mass and
+
+10
+00:00:42,270 --> 00:00:48,610
+radius. كلهم نفس الكتلة ونفس نصف القطر، are released
+
+11
+00:00:48,610 --> 00:00:52,490
+from rest. تم إطلاقهم من السكون على مستوى مائل.
+
+12
+00:00:52,490 --> 00:00:56,930
+determine the velocity of each body after it has
+
+13
+00:00:56,930 --> 00:00:59,410
+rolled through a distance corresponding to a
+
+14
+00:00:59,410 --> 00:01:05,930
+change of elevation h. أوجد سرعة كل جسم بعد ما يتدحرج و
+
+15
+00:01:05,930 --> 00:01:23,070
+ينزل ارتفاع قيمته H. أنا عندي هذا الجسم يعني
+
+16
+00:01:23,070 --> 00:01:28,790
+بيصير عامل زي هيك، خليني
+
+17
+00:01:28,790 --> 00:01:29,650
+أنا في نفس الاتجاه.
+
+18
+00:01:47,490 --> 00:01:53,830
+خلال مرحلة تدحرجه، بيتأثر بالقوة اللي هي وزنه، Mg.
+
+19
+00:01:53,830 --> 00:01:58,250
+و
+
+20
+00:01:58,250 --> 00:02:03,570
+فيه قوة normal force، هي
+
+21
+00:02:03,570 --> 00:02:04,790
+بتدحرج بالشكل هذا.
+
+22
+00:02:17,820 --> 00:02:24,660
+وبدأ بصراحة، دا V أو بدأ من السكون، فيه طبعًا
+
+23
+00:02:24,660 --> 00:02:29,120
+الاحتكاك اللي
+
+24
+00:02:29,120 --> 00:02:39,340
+وقف لأن
+
+25
+00:02:39,340 --> 00:02:44,520
+هذا position واحد، position
+
+26
+00:02:44,520 --> 00:02:44,960
+two.
+
+27
+00:02:50,910 --> 00:02:56,410
+يعني من position واحد لـ position two، نزل مسافة H.
+
+28
+00:02:56,410 --> 00:03:04,510
+والـ force هذه متأثرة عليه، معناته هيكون ده T واحد.
+
+29
+00:03:04,510 --> 00:03:14,690
+زاد U واحد لاثنين، بالساوية.
+
+30
+00:03:14,690 --> 00:03:17,710
+T اثنين.
+
+31
+00:03:20,910 --> 00:03:28,890
+T1 مش الساوية، نص
+
+32
+00:03:28,890 --> 00:03:40,890
+M V1 تربيع زائد نص I أوميغا واحد تربيع، صح؟ هو بدأ من
+
+33
+00:03:40,890 --> 00:03:46,590
+السكون، ما أنا أقول إيش هتساويها دي؟ صفر. T2
+
+34
+00:03:46,590 --> 00:03:59,290
+هتكون نص M V اثنين تربيع زائد نص I أوميغا اثنين تربيع.
+
+35
+00:03:59,290 --> 00:04:04,830
+احنا بنحكي حركة دحرجية، معناته فيه علاقة بين الـ V
+
+36
+00:04:04,830 --> 00:04:12,230
+و R في أوميغا، معناته
+
+37
+00:04:12,230 --> 00:04:16,030
+الـ أوميغا بشكل عام تساوي V على R.
+
+38
+00:04:19,080 --> 00:04:32,500
+يعني هتكون T2 هتساوي نص M V2 تربيع زائد نص I V
+
+39
+00:04:32,500 --> 00:04:41,020
+تربيع على R تربيع، يعني
+
+40
+00:04:41,020 --> 00:04:48,200
+هتكون دي نص M V2 تربيع
+
+41
+00:04:51,900 --> 00:05:06,020
+في M زائد I، طيب.
+
+42
+00:05:06,020 --> 00:05:09,600
+أنا forces، إيش الـ force بتعمل شغل؟ الـ F بتعمل الشغل
+
+43
+00:05:09,600 --> 00:05:13,380
+لأن مسار النقطة دي أفقي أو صفر، صح؟ والـ N بتعمل
+
+44
+00:05:13,380 --> 00:05:18,740
+الشغل لأنه عمودي على مسار الحركة. إيش اللي هو واحد
+
+45
+00:05:18,740 --> 00:05:23,650
+بيعمل الشغل؟ اللي هو الوزن Mg، هيكون عندي U واحد
+
+46
+00:05:23,650 --> 00:05:29,130
+لاثنين = Mg
+
+47
+00:05:29,130 --> 00:05:35,990
+في H. نعوض T
+
+48
+00:05:35,990 --> 00:05:42,610
+واحد اللي هي صفر، زائد Mg
+
+49
+00:05:42,610 --> 00:05:46,270
+بتساوي
+
+50
+00:05:46,270 --> 00:05:48,610
+نصف
+
+51
+00:05:49,720 --> 00:06:02,600
+V2 تربيع في M زائد I على R تربيع، يعني
+
+52
+00:06:02,600 --> 00:06:13,320
+هتكون V2 تربيع تساوي 2 MGH على
+
+53
+00:06:13,320 --> 00:06:18,520
+M زائد I على R تربيع.
+
+54
+00:06:22,740 --> 00:06:29,080
+تحت الجذر، صح؟ الآن
+
+55
+00:06:29,080 --> 00:06:36,540
+في حالة الآن لو كانت sphere، بتكون
+
+56
+00:06:36,540 --> 00:06:44,220
+I للـ sphere اللي هي 2 على 5
+
+57
+00:06:44,220 --> 00:06:47,140
+MR تربيع.
+
+58
+00:06:52,580 --> 00:07:00,340
+يعني بتكون الـ V اثنين في حالة الـ sphere، جذر
+
+59
+00:07:00,340 --> 00:07:13,680
+التربيعي لـ 2 MGH على M زائد 2 على 5 M
+
+60
+00:07:13,680 --> 00:07:20,400
+صح؟ لأن M تربيع بتروح مع M تربيع، يعني
+
+61
+00:07:20,400 --> 00:07:20,920
+هتكون
+
+62
+00:07:23,660 --> 00:07:27,280
+يعني 2 على 5 زائد 5 على 5 = 7 على
+
+63
+00:07:27,280 --> 00:07:33,560
+5، يعني 10 على 7 في جذر الجاذبية
+
+64
+00:07:33,560 --> 00:07:39,500
+التربيعي لـ 10
+
+65
+00:07:39,500 --> 00:07:45,080
+GH على
+
+66
+00:07:45,080 --> 00:07:51,800
+7، مظبوط؟ هذا في حالة sphere.
+
+67
+00:07:56,450 --> 00:08:03,990
+في حالة cylinder، الـ
+
+68
+00:08:03,990 --> 00:08:12,730
+I للـ cylinder إيش بتساوي؟ نص MR تربيع، يعني هتكون الـ V
+
+69
+00:08:12,730 --> 00:08:26,570
+اثنين تساوي الجذر التربيعي لـ 2 MGH على M زائد نص M
+
+70
+00:08:26,570 --> 00:08:29,730
+صح؟
+
+71
+00:08:29,730 --> 00:08:34,510
+يعني
+
+72
+00:08:34,510 --> 00:08:44,910
+هتكون الجذر التربيعي لـ 4 GH على
+
+73
+00:08:44,910 --> 00:08:49,670
+3، مظبوط؟
+
+74
+00:08:55,680 --> 00:09:01,140
+طيب، في حالة hoop، الـ
+
+75
+00:09:01,140 --> 00:09:11,960
+I بتكون تساوي MR تربيع، يعني هتكون الـ V2 جذر
+
+76
+00:09:11,960 --> 00:09:22,260
+التربيعي لـ 2MGH على M زائد M، يعني هتكون جذر التربيعي
+
+77
+00:09:22,260 --> 00:09:24,420
+لـ GH
+
+78
+00:09:50,240 --> 00:09:57,720
+طيب، معناته باختلاف نوعية الجسم تختلف السرعة، اللي
+
+79
+00:09:57,720 --> 00:10:02,380
+متعتمدة على ال moment of inertia. في أي سؤال؟
+
+80
+00:10:05,370 --> 00:10:11,470
+شوف السؤال الثاني: a three-pound slender rod pivots
+
+81
+00:10:11,470 --> 00:10:19,150
+about point O. في عندنا قضيب وزنه ثلاثة
+
+82
+00:10:19,150 --> 00:10:22,790
+pound، له
+
+83
+00:10:22,790 --> 00:10:28,350
+محور دوران عن نقطة O. the other end اللي هي عند A
+
+84
+00:10:28,350 --> 00:10:32,290
+is pressed against a spring. تم ضغطه على زنبرك عن نقطة
+
+85
+00:10:32,290 --> 00:10:34,990
+A. الـ K للزنبرك
+
+86
+00:10:37,840 --> 00:10:46,300
+1100 pound لكل إنش، يعني عشان نحولها لـ
+
+87
+00:10:46,300 --> 00:10:51,840
+قدم، نضربه في 12. وزن
+
+88
+00:10:51,840 --> 00:11:00,040
+ثلاثة، الـ K 1100 pound per inch، هنضربه في
+
+89
+00:11:00,040 --> 00:11:05,140
+الـ 12، 13200، صح؟ 13200
+
+90
+00:11:08,320 --> 00:11:11,960
+مظبوط؟ 13200... 21600... 21600
+
+91
+00:11:11,960 --> 00:11:20,060
+قسمة على 2، 21600
+
+92
+00:11:20,060 --> 00:11:30,200
+pound لكل قدم. طيب
+
+93
+00:11:35,790 --> 00:11:38,670
+until the spring is compressed one inch and the
+
+94
+00:11:38,670 --> 00:11:40,670
+rod is in a horizontal position. في الوضع اللي احنا
+
+95
+00:11:40,670 --> 00:11:45,330
+شايفينه، الزنبرك مضغوط واحد inch. زنبرك مضغوط واحد
+
+96
+00:11:45,330 --> 00:11:56,970
+inch، ده x واحد للزنبرك. x واحد على 12 قدم. if
+
+97
+00:11:56,970 --> 00:12:01,190
+the
+
+98
+00:12:01,190 --> 00:12:07,050
+rod is released from this position. تم إطلاقه من
+
+99
+00:12:07,050 --> 00:12:11,350
+الوضعية الأفقية، يعني تم إطلاقه، معناته بدأ من السكون.
+
+100
+00:12:11,350 --> 00:12:18,230
+determine its angular velocity and
+
+101
+00:12:18,230 --> 00:12:24,030
+the reaction at the pivot as the rod passes
+
+102
+00:12:24,030 --> 00:12:27,930
+through a vertical position. يعني الآن هو هيندفع،
+
+103
+00:12:27,930 --> 00:12:32,330
+هيلف لأعلى، بدنا نحدد السرعة الزاوية، والـ reaction
+
+104
+00:12:32,330 --> 00:12:37,340
+الزاوية للرد لما كان في الوضعية الرأسية، يعني هذا
+
+105
+00:12:37,340 --> 00:12:44,240
+الـ initial position وهذا الـ final position، يعني
+
+106
+00:12:44,240 --> 00:12:48,680
+هذا واحد و
+
+107
+00:12:48,680 --> 00:12:51,820
+هذا اثنين.
+
+108
+00:13:17,570 --> 00:13:29,290
+طيب، يعني احنا هيكون عندنا T1 زيرو. U1 لـ 2 هيساوي T2
+
+109
+00:13:29,290 --> 00:13:34,170
+زائد T1
+
+110
+00:13:34,170 --> 00:13:37,210
+صفر
+
+111
+00:13:37,210 --> 00:13:53,290
+T2 هساوي نصف ... هنا هيكون هاي مركز ثقل، مركز
+
+112
+00:13:53,290 --> 00:13:53,830
+ثقل، مركز ثقل، مركز ثقل، مركز ثقل
+
+113
+00:13:53,830 --> 00:13:57,190
+مركز ثقل، مركز ثقل، مركز
+
+114
+00:13:57,190 --> 00:14:01,810
+ثقل، مركز
+
+115
+00:14:01,810 --> 00:14:07,210
+ثقل
+
+116
+00:14:07,210 --> 00:14:12,470
+مركز ثقل
+
+117
+00:14:13,280 --> 00:14:24,540
+زائد نصف I أوميغا اثنين تربيع. الـ
+
+118
+00:14:24,540 --> 00:14:27,740
+V2
+
+119
+00:14:27,740 --> 00:14:39,690
+هذه المسافة كلها 2.5، هذه 5 قدم، صح؟ على
+
+120
+00:14:39,690 --> 00:14:44,550
+اثنين، 2.5، وهذه 1 وهذه 2، 1.5
+
+121
+00:14:44,550 --> 00:14:55,330
+يعني هذه المسافة هي 1.5 قدر
+
+122
+00:14:55,330 --> 00:15:05,290
+هيكون، دي V2 هي 1.5 أوميغا
+
+123
+00:15:05,290 --> 00:15:06,010
+اثنين، صح؟
+
+124
+00:15:10,340 --> 00:15:18,980
+و I للـ rod حوالي مركز ثقله بتساوي
+
+125
+00:15:18,980 --> 00:15:33,580
+M L تربيع على 12، يعني عندي الـ M اللي
+
+126
+00:15:33,580 --> 00:15:41,170
+هو 3 على 32.2 في
+
+127
+00:15:41,170 --> 00:15:51,370
+الـ L اللي هو 5 تربيع على 12، هذه 1.946
+
+128
+00:15:51,370 --> 00:15:51,690
+point
+
+129
+00:16:11,270 --> 00:16:22,310
+معناته T2 تساوي نص هذا الكلام، عبارة عن 3 على
+
+130
+00:16:22,310 --> 00:16:30,350
+32.2 في 1.5 تربيع
+
+131
+00:16:30,350 --> 00:16:42,020
+أوميغا اثنين تربيع زائد نصف في 1.946
+
+132
+00:16:42,020 --> 00:16:53,860
+أوميغا اثنين تربيع. لو
+
+133
+00:16:53,860 --> 00:16:54,800
+اعتبرنا هذا ال reference
+
+134
+00:17:15,390 --> 00:17:22,650
+2.018 U1
+
+135
+00:17:22,650 --> 00:17:29,870
+لـ 2، x
+
+136
+00:17:29,870 --> 00:17:33,430
+1
+
+137
+00:17:33,430 --> 00:17:44,230
+تربيع ناقص نص K x 2 تربيع. هيكون نص الـ K في شي
+
+138
+00:17:44,230 --> 00:17:59,810
+ثاني زائد Mg في Y واحد ناقص Y اثنين، صح؟ هيكون
+
+139
+00:17:59,810 --> 00:18:11,630
+نصف الـ K، 21600 في الـ x واحد، واحد
+
+140
+00:18:11,630 --> 00:18:17,950
+على 12 تربيع، الـ x اثنين خلاص مافيش زنبرك، صفر
+
+141
+00:18:17,950 --> 00:18:22,630
+زائد
+
+142
+00:18:22,630 --> 00:18:29,550
+الـ Mg اللي هو 3 Y
+
+143
+00:18:29,550 --> 00:18:34,870
+واحد اللي هو صفر ناقص
+
+144
+00:18:34,870 --> 00:18:44,830
+Y اثنين، 1.5، 30
+
+145
+00:18:44,830 --> 00:18:54,950
+نعم، هذا هتكون ناقص 45. 30 بتطلع
+
+146
+00:18:54,950 --> 00:19:00,370
+30، اه بالضبط. لولا 45. لولا 45
+
+147
+00:19:00,370 --> 00:19:07,910
+ولكن 45، ماشي، 30 pound force قدم.
+
+148
+00:19:07,910 --> 00:19:12,690
+أنا
+
+149
+00:19:12,690 --> 00:19:16,790
+أطلع أعوض في المعادلة اللي هي T واحد اللي هي صفر
+
+150
+00:19:16,790 --> 00:19:24,010
+زائد U واحد لاثنين، 30 تساوي T اثنين اللي هي
+
+151
+00:19:24,010 --> 00:19:33,570
+2.018 أوميغا اثنين تربيع. منها
+
+152
+00:19:33,570 --> 00:19:34,810
+بنحسب أوميغا اثنين
+
+153
+00:19:38,490 --> 00:19:44,310
+ثلاثة point؟ ثمانية خمسة خمسة، ياش بعد الخمسة
+
+154
+00:19:44,310 --> 00:19:48,230
+إيش بيجي؟ ستة، طيب هيك صح؟ أنت عطيتنيها ثمانية خمسة
+
+155
+00:19:48,230 --> 00:19:51,630
+خمسة ستة، ياش بعد الخمسة؟ ستة، يا عزيزي، المفروض أنت
+
+156
+00:19:51,630 --> 00:19:58,990
+تنظر، كم تكون؟ ستة ستة مش خمسة. عطينيها، إجابة
+
+157
+00:19:58,990 --> 00:20:03,190
+عطيك دفع، موجود هنا، أنت زي البقرة، وأنت بتقرر، مش
+
+158
+00:20:03,190 --> 00:20:05,230
+أنا اللي بأقرر، أنت لازم كنت تقرر. أنت أخذت ثلاثة
+
+159
+00:20:05,230 --> 00:20:09,520
+أرقام، ما ينفعش. تخيل ثمانية خمسة خمسة وعشان ستة، هتخليها
+
+160
+00:20:09,520 --> 00:20:16,360
+خمسة. أنت اللي طلعتها، تصير ستة ال radian
+
+161
+00:20:16,360 --> 00:20:26,120
+لكل second. هذا أوميغا اثنين.
+
+162
+00:20:26,120 --> 00:20:32,580
+المطلوب
+
+163
+00:20:32,580 --> 00:20:33,080
+الثاني
+
+164
+00:20:37,000 --> 00:20:41,320
+بدي الـ reaction في الـ position هذا، الـ position ده
+
+165
+00:20:41,320 --> 00:20:45,460
+عندها إيه؟ الـ rod
+
+166
+00:21:06,770 --> 00:21:15,530
+فيه هيؤثر وزنه لتحت، صح؟
+
+167
+00:21:15,530 --> 00:21:22,710
+وفيه ريـ وفيه
+
+168
+00:21:22,710 --> 00:21:30,410
+reaction، إيش في ثاني؟ هي اللي هيكون عندها
+
+169
+00:21:39,150 --> 00:21:47,090
+I في ألفا، وفي عندي M
+
+170
+00:21:47,090 --> 00:22:00,610
+A Tangential وعندي M A Normal، هذا
+
+171
+00:22:00,610 --> 00:22:01,290
+النقطة O.
+
+172
+00:22:15,060 --> 00:22:28,660
+هآخذ summation of moment حوالي O = صفر.
+
+173
+00:22:28,660 --> 00:22:37,280
+صح؟ أو
+
+174
+00:22:37,280 --> 00:22:39,540
+كمان آخذ summation حوالي G، هاي G
+
+175
+00:22:49,130 --> 00:22:59,170
+صفر، صح؟ بتساوي I في ألفا، يعني
+
+176
+00:22:59,170 --> 00:23:03,970
+إيه اللي بتساوي الصفر؟ الألفا، معناته الألفا هذا
+
+177
+00:23:03,970 --> 00:23:09,530
+لا يمكن تساوي الصفر. هذا معناته الألفا شو بتساوي؟ صفر.
+
+178
+00:23:09,530 --> 00:23:15,490
+معناته الـ eight tangential برضه شو بتساوي؟ الصفر.
+
+179
+00:23:21,200 --> 00:23:31,100
+من الـ summation of forces باتجاه الـ X بتساوي
+
+180
+00:23:31,100 --> 00:23:43,020
+M A tangential، يعني Rx بتساوي إيش؟ صفر، صح؟ و
+
+181
+00:23:43,020 --> 00:23:49,720
+summation للـ forces باتجاه الـ Y بتساوي
+
+182
+00:23:51,470 --> 00:23:59,970
+اللي هي اسمها M A Y، صح؟ أنا هيكون عندي ناقص W زائد Ry
+
+183
+00:23:59,970 --> 00:24:11,690
+بتساوي ناقص اللي هي الـ M اللي هي W على G، اللي هي A
+
+184
+00:24:11,690 --> 00:24:19,730
+normal، اللي هي أوميغا تربيع اللي هي 1.5 في
+
+185
+00:24:19,730 --> 00:24:29,270
+أوميغا تو تربيع، يعني الـ Ry هيكون
+
+186
+00:24:29,270 --> 00:24:33,410
+ساوي، و في
+
+187
+00:24:33,410 --> 00:24:45,310
+واحد ناقص 1.5 أوميغا اثنين
+
+223
+00:29:30,180 --> 00:29:30,600
+بيتها
+
+224
+00:29:41,780 --> 00:29:44,680
+في أي لحظة هيكون عندنا هنا في مركز ثقل هذا، وفي مركز
+
+225
+00:29:44,680 --> 00:29:51,140
+ثقل هذا لأن
+
+226
+00:29:51,140 --> 00:29:57,360
+لما بدي أتحرك هيكون
+
+227
+00:29:57,360 --> 00:30:08,200
+عند الـ T1 زاد U1 لـ 2، بساوة T2 هو release from rest
+
+228
+00:30:10,110 --> 00:30:15,610
+سفر T واحد بالساوية
+
+229
+00:30:15,610 --> 00:30:19,830
+سفر
+
+230
+00:30:19,830 --> 00:30:28,570
+الآن هيكون لمركز ثقل هذا بشكل عام فيه
+
+231
+00:30:28,570 --> 00:30:36,890
+سرعة V، وفيه انجرست H Omega، صح؟
+
+232
+00:30:49,500 --> 00:30:56,400
+لو ده وجد الـ incense center للرد هذا عمودي
+
+233
+00:30:56,400 --> 00:31:02,740
+على هذا، يعني هيكون امتداد هذا، صح؟ و
+
+234
+00:31:02,740 --> 00:31:06,720
+عمودي على هذه هذه
+
+235
+00:31:06,720 --> 00:31:10,540
+النقطة A B
+
+236
+00:31:10,540 --> 00:31:26,310
+D، وهذه C، هذا زي الـ beta، وهذه beta، صح؟ و
+
+237
+00:31:26,310 --> 00:31:33,050
+هذه تسعين درجة، تسعين
+
+238
+00:31:33,050 --> 00:31:38,670
+درجة، لحتكون beta، ليش؟
+
+239
+00:31:38,670 --> 00:31:46,300
+هذا مثلث قائم الزاوية، يعني ممكن تمر دائرة، ممكن تمر
+
+240
+00:31:46,300 --> 00:31:53,860
+الدائرة فيه في النقاط A وB وC، معناته هذا ممثل نص
+
+241
+00:31:53,860 --> 00:31:58,720
+قطر، وهذا نص قطر، وهذا نص قطر، معناته هذا الطول
+
+242
+00:31:58,720 --> 00:32:06,620
+بمستوى هذا، بمستوى هذا، يعني هذه هتكون الـ هذه
+
+243
+00:32:06,620 --> 00:32:08,140
+ال
+
+244
+00:32:13,910 --> 00:32:27,970
+وهذه هتكون تسعين ناقص beta، يعني هذه هتكون أنا
+
+245
+00:32:27,970 --> 00:32:34,990
+بحكي beta ستين وست وسبعين، هذه
+
+246
+00:32:34,990 --> 00:32:39,190
+هتكون بمستوى هذه، صح؟
+
+247
+00:32:39,190 --> 00:32:43,010
+مش هذه L، وهذه L مظبوط؟
+
+248
+00:32:45,400 --> 00:32:50,920
+لتأكد كم مرة هذه L، وهذه L، وهذه L، هذه Beta، وهذه
+
+249
+00:32:50,920 --> 00:32:58,020
+Beta، معناته هذه الزاوية، أكمل هذه
+
+250
+00:32:58,020 --> 00:33:05,020
+تسعين ناقص Beta، وهذه الزاوية خارج المثلث، هذه
+
+251
+00:33:05,020 --> 00:33:08,920
+معناته هذه هتكون اتنين Beta، Beta وBeta، صح؟ يعني
+
+252
+00:33:08,920 --> 00:33:09,580
+هذه هتكون
+
+253
+00:33:19,050 --> 00:33:26,510
+اتنين بيتا، يعني
+
+254
+00:33:26,510 --> 00:33:30,010
+أو باخد المثلث الكبير A C D، في الزاوية هذا هتكون
+
+255
+00:33:30,010 --> 00:33:35,850
+ماية وثمانين ناقص، مية وثمانين ناقص، ناقص
+
+256
+00:33:35,850 --> 00:33:43,410
+بيتا، هذا هتكون تسعين ناقص بيتا، صح؟ هذه تسعين
+
+257
+00:33:49,560 --> 00:33:55,260
+ناقص Beta، لما تشبه 90 ناقص Beta، زي 90 ناقص Beta، زي
+
+258
+00:33:55,260 --> 00:34:05,360
+2 Beta، 180، مظبوط، طيب
+
+259
+00:34:05,360 --> 00:34:16,480
+VB إيش بالساوية؟ قمج AB في الـ L، صح؟
+
+260
+00:34:20,550 --> 00:34:27,110
+وبرضه بتسوى Omega بتاعة هذا في الـ L، حين كان Omega
+
+261
+00:34:27,110 --> 00:34:43,350
+AB بساوِى Omega BD في الـ L، صح؟ يعني Omega AB بساوى
+
+262
+00:34:43,350 --> 00:34:52,810
+Omega BD بساوي Omega، صح؟ العجل الأسرع زي لهذا بيساوي
+
+263
+00:34:52,810 --> 00:34:57,350
+لهذا، طيب
+
+264
+00:34:57,350 --> 00:35:07,190
+لأن T1 هيكون صفر، T2 هيكون
+
+265
+00:35:07,190 --> 00:35:16,230
+هيكون T2 للـ A B زائد
+
+266
+00:35:16,230 --> 00:35:17,970
+T2
+
+267
+00:35:19,570 --> 00:35:30,430
+للـ BD، يعني هتكون نص M
+
+268
+00:35:30,430 --> 00:35:45,090
+V بتاعة المركز، استقال M V A B تربيع زائد نص الـ I
+
+269
+00:35:45,090 --> 00:35:58,790
+طبعا اتنين هنا، ميجا اتنين تربيع زائد
+
+270
+00:35:58,790 --> 00:36:05,250
+نص الـ
+
+271
+00:36:05,250 --> 00:36:17,230
+M لأن هاي مركز استخدام بتاع هذه V
+
+272
+00:36:17,230 --> 00:36:26,250
+بتاعة الـ BD هتكون عمودية هذا، صح؟ أظبط؟ هذا طوله
+
+273
+00:36:26,250 --> 00:36:35,610
+المثلث، خلينا نحكي جيه، هذه المثلث، ناخد المثلث اللي
+
+274
+00:36:35,610 --> 00:36:38,590
+هو CDG
+
+275
+00:36:47,200 --> 00:36:55,020
+هذا حاجة الـ، وهذا الـ، يعني هذه اتنين ال كلها، معناه
+
+276
+00:36:55,020 --> 00:36:59,480
+أن هذه ستكون كلها إكم، اتنين
+
+277
+00:36:59,480 --> 00:37:04,420
+الـ sign
+
+278
+00:37:04,420 --> 00:37:11,180
+الـ beta، صح؟ وهذا
+
+279
+00:37:11,180 --> 00:37:19,940
+الـ على اتنين، يعني أنا عندي مثلث، وثلث وبدي الطول
+
+280
+00:37:19,940 --> 00:37:26,140
+هذا أنا، صح؟ معروف طول الضلع هذا، وطول الضلع هذا، و
+
+281
+00:37:26,140 --> 00:37:42,260
+الزاوية هذه، صح؟ أنا بتحكول عنده CG الـ
+
+282
+00:37:42,260 --> 00:37:42,860
+CG
+
+283
+00:37:48,210 --> 00:37:57,750
+التربيع بتساوي دي L على 2 تربيع، cosine law زائد
+
+284
+00:37:57,750 --> 00:38:09,050
+هذا تربيع اللي هو 2L sin beta لكل تربيع، ناقص
+
+285
+00:38:09,050 --> 00:38:17,010
+الأول في الثاني، ناقص L على 2 في 2L sin beta
+
+286
+00:38:19,520 --> 00:38:27,760
+الزاويتين، يعني cosine التسعين ناقص
+
+287
+00:38:27,760 --> 00:38:38,160
+beta، يعني هيكون ساوي عندي ال تربيع على أربعة ناقص
+
+288
+00:38:38,160 --> 00:38:45,340
+أربعة التربيع sin تربيع beta
+
+289
+00:38:48,630 --> 00:38:57,810
+ناقص التربيع sin beta، لأن cosine التسعين هتكون
+
+290
+00:38:57,810 --> 00:39:00,890
+cosine cosine زائد sin sin، هذا يعني هتكون sin beta
+
+291
+00:39:00,890 --> 00:39:08,910
+هذا، هتصير sin تربيع beta ناقص
+
+292
+00:39:08,910 --> 00:39:10,830
+اتنين هذا، صح؟
+
+293
+00:39:20,370 --> 00:39:26,190
+يعني هتكون تساوي التربيع
+
+294
+00:39:26,190 --> 00:39:36,050
+على أربعة، بعد
+
+295
+00:39:36,050 --> 00:39:40,830
+زائد زائد
+
+296
+00:39:40,830 --> 00:39:49,690
+اتنين التربيع sin تربيع بيتا
+
+297
+00:39:56,060 --> 00:40:04,860
+يعني الـ CG هتكون بتساوي الجزر التربيعي لربع
+
+298
+00:40:04,860 --> 00:40:14,140
+زائد اتنين زائد
+
+299
+00:40:14,140 --> 00:40:22,300
+اتنين sin تربيع بيتا، هذا
+
+300
+00:40:22,300 --> 00:40:22,740
+الـ CG
+
+301
+00:40:31,890 --> 00:40:42,210
+إحنا عند الـ at beta بالساوية عشرين درجة، في الـ
+
+302
+00:40:42,210 --> 00:40:46,330
+series CGND بالساوية
+
+303
+00:40:46,330 --> 00:40:50,950
+الألي اللي هو bond سبعة خمسة، في الجزر التربيعي إلى
+
+304
+00:40:50,950 --> 00:40:57,390
+ربع زائد اتنين sin تربيع إلى عشرين
+
+305
+00:41:13,770 --> 00:41:21,610
+point كم هو الرقم؟ one متر
+
+306
+00:41:21,610 --> 00:41:24,650
+معناته
+
+307
+00:41:24,650 --> 00:41:30,490
+هتكون عند الـ V هنا
+
+308
+00:41:30,490 --> 00:41:36,310
+زيادة نص ام، ما كملناش هذه، صحيح إحنا حكينا الـ T2
+
+309
+00:41:38,870 --> 00:41:43,210
+بتساوي اتنين بتاعة AB، اتنين بتاعة BD، يعني هتكون
+
+310
+00:41:43,210 --> 00:41:47,690
+زائد نص M
+
+311
+00:41:47,690 --> 00:41:51,430
+VBD
+
+312
+00:41:51,430 --> 00:41:56,590
+تربيع زائد
+
+313
+00:41:56,590 --> 00:42:06,870
+نص I Omega اتنين تربيع
+
+314
+00:42:09,090 --> 00:42:13,110
+ممكن أحكي التالي بخطوة واحدة، اترك واحد، أحكي أن T2
+
+315
+00:42:13,110 --> 00:42:22,810
+بتساوي
+
+316
+00:42:22,810 --> 00:42:33,150
+هذه بتدور حول A، هتكون نص I حول A Omega
+
+317
+00:42:33,150 --> 00:42:37,430
+Square، وهذه في اللحظة اللي بتدور حول C
+
+318
+00:42:40,630 --> 00:42:56,910
+زائد نص I حول C Omega Square، ونثبتها
+
+319
+00:42:56,910 --> 00:43:04,630
+خلينا نبدأ في هذه، هيتذكرواها، يعني T2 هتكون تساوي
+
+320
+00:43:04,630 --> 00:43:08,190
+اللي
+
+321
+00:43:08,190 --> 00:43:08,730
+هو نص
+
+322
+00:43:14,310 --> 00:43:25,410
+M VAB Square، اللي هي L على 2 تربيع، L على 2 في
+
+323
+00:43:25,410 --> 00:43:35,630
+Omega 2 في Omega 2 تربيع زائد
+
+324
+00:43:35,630 --> 00:43:37,070
+نص
+
+325
+00:43:43,450 --> 00:43:57,330
+الـ I حوالي المركز، استقال I Omega 2 تربيع زائد نص M
+
+326
+00:43:57,330 --> 00:44:00,650
+VBD
+
+327
+00:44:00,650 --> 00:44:08,970
+تربيع VBD، اللي هيبقى CG Omega
+
+328
+00:44:08,970 --> 00:44:23,080
+2 كل تربيع زائد نص I أوميجا اتنين تربيع، يعني خليني
+
+329
+00:44:23,080 --> 00:44:29,140
+آخذ هدول مع بعض، هدول
+
+330
+00:44:29,140 --> 00:44:37,100
+مع بعض، هتكون تساوي، هطلع
+
+331
+00:44:37,100 --> 00:44:37,900
+أوميجا اتنين برا
+
+332
+00:45:03,710 --> 00:45:09,870
+مظبوط؟ هذا الـ Parallax Serial، م في العلى اتنين تربيع
+
+333
+00:45:09,870 --> 00:45:17,550
+زائد الـ I، هي الـ I حول A زائد ماردون، هطلع أوميجا
+
+334
+00:45:17,550 --> 00:45:31,590
+اتنين تربيع على اتنين، هتكون م في CG تربيع زائد I
+
+335
+00:45:31,590 --> 00:45:43,070
+هذا، إيش هي هذه omega 2 تربيع على 2 في I حول A، صح؟
+
+336
+00:45:43,070 --> 00:45:59,010
+وهذه omega 2 تربيع في I حول C، لهذا أحكي
+
+337
+00:45:59,010 --> 00:46:07,420
+I على A، IA للرد هو واحد على اثنا عشر ال تربيع زائد م
+
+338
+00:46:07,420 --> 00:46:13,500
+في ال على اتنين لكل تربيع، الـ M اللي هي I هتكون
+
+339
+00:46:13,500 --> 00:46:19,060
+اللي هي I حول الـ G زائد M في المسافة تربيع، يعني
+
+340
+00:46:19,060 --> 00:46:30,440
+هتكون تساوي واحد وثلاثة M تربيع، والـ I تعت
+
+341
+00:46:30,440 --> 00:46:33,520
+C
+
+342
+00:46:35,220 --> 00:46:37,300
+بس هو اللي هي واحد على اثنا عشر، اللي هي الـ I اللي
+
+343
+00:46:37,300 --> 00:46:46,380
+حول G، في M تربيع زائد M في الـ CG تربيع، M في الـ
+
+344
+00:46:46,380 --> 00:46:55,140
+CG تربيع، يعني
+
+345
+00:46:55,140 --> 00:47:06,240
+هكون واحد على اثنا عشر M تربيع زائد M في point خمسة
+
+346
+00:47:06,240 --> 00:47:14,140
+اتنين واحد تربيع
+
+347
+00:47:14,140 --> 00:47:31,360
+الـ L
+
+348
+00:47:31,360 --> 00:47:35,690
+خلينا نرجع عن الـ L اللي هي point سبعة خمسة في bond
+
+349
+00:47:35,690 --> 00:47:45,550
+سبعة خمسة تربيع، والـ M كم؟
+
+350
+00:47:45,550 --> 00:47:53,270
+ستة، كم تطلع؟ و كيلو
+
+351
+00:47:53,270 --> 00:48:01,660
+جرام متر مربع، والله يحول إن إيه هذه؟ ثلث؟ في الستة
+
+352
+00:48:01,660 --> 00:48:09,600
+في point سبعة خمسة تربيع، واحد
+
+353
+00:48:09,600 --> 00:48:10,880
+point واحد من خمسة
+
+354
+00:48:27,310 --> 00:48:34,910
+طيب، معناته T2 هتكون
+
+355
+00:48:34,910 --> 00:48:43,730
+ساوي اللي هي نص IA اللي هي في واحد وواحد واتنين
+
+356
+00:48:43,730 --> 00:48:53,680
+خمسة Omega اتنين تربيع زائد نص في واحد point تسعة
+
+357
+00:48:53,680 --> 00:49:06,360
+صفر تسعة أوميجا اتنين تربيع، واحد
+
+358
+00:49:06,360 --> 00:49:12,720
+point خمسة واحد سنة أوميجا
+
+359
+00:49:12,720 --> 00:49:15,800
+اتنين تربيع
+
+360
+00:49:22,340 --> 00:49:30,300
+طب، إيش الـ forces اللي بتعمل الشغل؟ الوزن بس اللي
+
+361
+00:49:30,300 --> 00:49:36,680
+حكيتها، ده reference الـ
+
+362
+00:49:36,680 --> 00:49:42,420
+U واحد لاتنين الـ
+
+363
+00:49:42,420 --> 00:49:48,060
+U واحد لاتنين، هذه
+
+364
+00:49:48,060 --> 00:49:49,880
+المسافة اللي هي عبارة عن الـ L على اتنين
+
+365
+00:50:10,910 --> 00:50:17,070
+الأولى هتكون نازلة نزول، معناته هتكون موجبة، يعني
+
+366
+00:50:17,070 --> 00:50:23,150
+هتكون تساوي MG، اللي هي M عندي ستة في تسعة point
+
+367
+00:50:23,150 --> 00:50:30,810
+ثمانية، سفر ستة في اللي هو bond سبعة خمسة على اتنين
+
+368
+00:50:30,810 --> 00:50:39,290
+في الـ sine الستين ناقص sine العشرين، طبعا الهدف
+
+369
+00:50:39,290 --> 00:50:43,630
+هيش في اتنين في اتنين
+
+370
+00:50:59,660 --> 00:51:04,900
+ثلاثة وعشرين، ثلاثة وعشرين، ثلاثة وعشرين، ثلاثة وعشرين
+
+371
+00:51:04,900 --> 00:51:09,780
+ثلاثة وعشرين، ثلاثة وعشرين، ثلاثة وعشرين، ثلاثة وعشرين
+
+372
+00:51:09,780 --> 00:51:09,900
+ثلاثة وعشرين، ثلاثة وعشرين، ثلاثة وعشرين، ثلاثة وعشرين
+
+373
+00:51:09,900 --> 00:51:10,380
+ثلاثة وعشرين، ثلاثة وعشرين، ثلاثة وعشرين، ثلاثة وعشرين
+
+374
+00:51:10,380 --> 00:51:14,290
+ثلاثة وعشرين، ثلاثة وعشرين، ثلاثة وعشرين، ثلاثة وعشرين
+
+375
+00:51:14,290 --> 00:51:18,830
+اتنين، ت واحد اللي هو صفر زائد ثلاثة وعشرين point
+
+376
+00:51:18,830 --> 00:51:23,290
+واحد، اتنين، اتنين، تتنين اللي هي واحد point خمسة
+
+377
+00:51:23,290 --> 00:51:32,810
+واحد سبعة omega اتنين تربيع، منها omega اتنين
+
+378
+00:51:32,810 --> 00:51:35,210
+ثلاثة point
+
+379
+00:51:42,030 --> 00:51:49,390
+radian per second، لأن صورة النقطة دي VD، VD هتساوي
+
+380
+00:51:49,390 --> 00:52:01,450
+Omega في CD، صح؟ VD هتساوي Omega في CD، اللي هي هتكون
+
+381
+00:52:01,450 --> 00:52:13,110
+Omega في 2L Sine الـ Beta، صح؟ يعني هتكون ثلاثة point
+
+382
+00:52:13,110 --> 00:52:21,670
+تسعة سفر أربعة في اتنين في point سبعة خمسة، هذا عند
+
+383
+00:52:21,670 --> 00:52:35,870
+بيتا لما كانت عشرين في سين العشرين meter
+
+384
+00:52:35,870 --> 00:52:37,470
+per second
+
+385
+00:52:44,630 --> 00:52:46,670
+طيب، والله يعافيك، خلصنا المحاضرة
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/c7Uqbvk11Jo.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/c7Uqbvk11Jo.srt
new file mode 100644
index 0000000000000000000000000000000000000000..cd7874f1fd72d5da78e652aa3d63e47b0f823e59
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/c7Uqbvk11Jo.srt
@@ -0,0 +1,1147 @@
+
+1
+00:00:05,430 --> 00:00:08,450
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,450 --> 00:00:12,630
+وبركاته، وهنكمل في مادة الديناميكا المحاضرات
+
+3
+00:00:12,630 --> 00:00:15,390
+السابقة، بدأنا نحكي عن ال kinematics of rigid
+
+4
+00:00:15,390 --> 00:00:19,770
+bodies، حكينا عن الحركة الانتقالية للأجسام الجامدة
+
+5
+00:00:19,770 --> 00:00:24,090
+الحركة حول محور ثابت، بعدين general plane
+
+6
+00:00:24,090 --> 00:00:29,120
+motion، عملنا Relative Velocity Analysis، VB بالنسبة لـ
+
+7
+00:00:29,120 --> 00:00:33,200
+VA، زي VBA، يعني مجموع الحركة جزءين: جزء انتقالي وجزء
+
+8
+00:00:33,200 --> 00:00:36,960
+دواراني، بعدين عملنا Velocity Analysis باستخدام الـ
+
+9
+00:00:36,960 --> 00:00:41,420
+Instant Center Method، حلنا مجموعة من الأمثلة، اليوم
+
+10
+00:00:41,420 --> 00:00:46,280
+هنكمل، نعمل acceleration analysis لـ general plane
+
+11
+00:00:46,280 --> 00:00:53,360
+motion، زي ما أنتم شايفين، عندي
+
+12
+00:00:53,360 --> 00:01:01,020
+جسم بيتحرك general plane motion، فيه عندي two particles
+
+13
+00:01:01,020 --> 00:01:05,860
+على الجسم، particle A و particle B، زي ما هو مبين
+
+14
+00:01:05,860 --> 00:01:11,340
+لنا، الـ V، الـ acceleration لـ A بالنسبة للـ
+
+15
+00:01:11,340 --> 00:01:14,600
+acceleration لـ B، من حيث الـ K ومن حيث الاتجاه
+
+16
+00:01:14,600 --> 00:01:23,520
+معناته الحركة فيها انتقال وفيها دوران، معناته ممكن
+
+17
+00:01:23,520 --> 00:01:28,770
+أنا أجزئها لجزئين: جزء translation with a، اللي هو
+
+18
+00:01:28,770 --> 00:01:31,770
+بتكون في الحالة دي، a .. a بالنسبة لـ .. الـ
+
+19
+00:01:31,770 --> 00:01:34,190
+acceleration عند a بتكون سوية acceleration عند b
+
+20
+00:01:34,190 --> 00:01:40,430
+وجزء دوران .. دوران حول a، الدوران حول a
+
+21
+00:01:40,430 --> 00:01:45,610
+هتكون عند a، b، acceleration نسبة لـ b بالنسبة للـ
+
+22
+00:01:45,610 --> 00:01:50,410
+acceleration لـ a، زائد الـ a b a، الـ a b a هيكون جزءين
+
+23
+00:01:50,410 --> 00:01:54,810
+جزء normal direction، لأن هذا مركز دوران من b لـ a، a
+
+24
+00:01:54,810 --> 00:02:00,530
+b a normal، هو جزء tangential a b a tangential، الـ
+
+25
+00:02:00,530 --> 00:02:04,810
+normal direction نتيجة الـ rotation، بيصير عندك h
+
+26
+00:02:04,810 --> 00:02:08,310
+normal component و tangential component نتيجة
+
+27
+00:02:08,310 --> 00:02:11,770
+التغير في قيمة السرعة، بيصير عندك tangential
+
+28
+00:02:11,770 --> 00:02:18,390
+component في الـ a b a، اللي هو هيكون جزء منها
+
+29
+00:02:18,390 --> 00:02:21,290
+tangential a b a tangential، اللي بيساوي alpha في R
+
+30
+00:02:22,200 --> 00:02:25,400
+وعندي الـ a b a normal، اللي هي نتيجة الـ rotation
+
+31
+00:02:25,400 --> 00:02:32,480
+اللي هي r في omega square، الآن الـ nor component
+
+32
+00:02:32,480 --> 00:02:37,640
+دائماً بتكون في اتجاه مركز الدوران، الـ tangential
+
+33
+00:02:37,640 --> 00:02:42,220
+component بتكون عمودية على الخط الواصل بين النقطة
+
+34
+00:02:42,220 --> 00:02:45,720
+A والنقطة B، بس اتجاهها ممكن تكون بهذا الاتجاه أو
+
+35
+00:02:45,720 --> 00:02:52,350
+الاتجاه المعاكس، يعني حسب إذا كانت قيمة السرعة
+
+36
+00:02:52,350 --> 00:03:04,810
+تتزايد أو قيمة السرعة تتنقص، طيب
+
+37
+00:03:08,360 --> 00:03:12,580
+معناته عند الـ a,b بالنسبة لـ a، زي a,b,a هيكون أنا
+
+38
+00:03:12,580 --> 00:03:15,580
+ملاقيتها كـ vector equation، عندها هيكون a,a اللي هي
+
+39
+00:03:15,580 --> 00:03:19,900
+جزء ايه الترانزليشن، هذه a,b,a normal، وهذه a,b,a
+
+40
+00:03:19,900 --> 00:03:25,840
+tangential، عند هنا هي عند هنا الـ .. الـ رد a,b ممسوك
+
+41
+00:03:25,840 --> 00:03:29,800
+بـ block عند A و block عند A، هذه الـ explanation
+
+42
+00:03:29,800 --> 00:03:33,560
+بتاعة A في اتجاه اليمين، والـ explanation بتاعة B
+
+43
+00:03:33,560 --> 00:03:37,760
+لتحت، تكون جزء منها translation with a، يعني هتكون
+
+44
+00:03:37,760 --> 00:03:43,380
+عندي هنا a a، وهنا a a، وجزء rotation حول a
+
+45
+00:03:43,380 --> 00:03:48,760
+هيكون عندي a b a normal، و a b a tangential، ممكن تكون
+
+46
+00:03:48,760 --> 00:03:54,180
+بهذا الاتجاه أو بهذا الاتجاه، الآن عندي هاي الـ a b
+
+47
+00:03:54,180 --> 00:04:01,640
+لتحت، وهاي الـ a e، احنا قلنا a b بيساوي a a زائد a
+
+48
+00:04:01,640 --> 00:04:04,240
+b a، والـ a b a، فيه عندي a b a normal، هاي a b a
+
+49
+00:04:04,240 --> 00:04:10,250
+normal، هذه a,b,a normal، الـ a,b,a tangential هتكون ايش؟
+
+50
+00:04:10,250 --> 00:04:16,430
+عمودي عليها، طبعاً من خلال polygonal rift للاتجاه
+
+51
+00:04:16,430 --> 00:04:21,150
+بتاعة التنجينشال، لأنه هتتقطع مع a,b في النقطة هذه
+
+52
+00:04:21,150 --> 00:04:26,610
+مش هتكون من اتجاه المعاكس، أكيد صح، فهتكون a,b بالنسبة لـ
+
+53
+00:04:26,610 --> 00:04:32,470
+a,a، زي a,b,a normal، زي a,b,a tangential
+
+54
+00:04:35,960 --> 00:04:44,780
+إذا بأخذ الـ X component، هتكون ده صفر زائد a a
+
+55
+00:04:44,780 --> 00:04:51,220
+زائد طبعاً هذه الزاوية ثيتا، زائد الـ a b a normal
+
+56
+00:04:51,220 --> 00:04:55,520
+هتكون الـ omega square sine theta ناقص الـ alpha
+
+57
+00:04:55,520 --> 00:05:02,090
+cosine theta، هذا بالـ X، بالـ positive Y هيكون عندي
+
+58
+00:05:02,090 --> 00:05:06,870
+ناقص a b بيساوي ناقص L omega squared cosine theta
+
+59
+00:05:06,870 --> 00:05:12,790
+ناقص L alpha sine theta، لأن
+
+60
+00:05:12,790 --> 00:05:16,130
+فيه طريقة ثانية أعمل analysis in terms of a
+
+61
+00:05:16,130 --> 00:05:21,450
+parameter، يعني مثلاً هنا .. هنا أنا بأحكي هذه طولها L
+
+62
+00:05:21,450 --> 00:05:24,850
+وهذه زاوية ثيتا، معناته الـ X بتاعة النقطة XA ايه؟
+
+63
+00:05:24,850 --> 00:05:31,680
+شو قيمته؟ L sin θ، صح؟ والـ Y بتاعتها ايش بتساوي؟ L
+
+64
+00:05:31,680 --> 00:05:39,160
+cos θ، معناته الـ XA بيساوي L sin θ، والـ YB بيساوي L
+
+65
+00:05:39,160 --> 00:05:46,860
+cos θ، طيب الـ VA ايش بيساوي؟ DXA by DT، الـ L ايش معناها؟
+
+66
+00:05:46,860 --> 00:05:55,190
+constant، هتكون L cos θ Dθ by DT، والـ VB بيساوي dyb
+
+67
+00:05:55,190 --> 00:06:00,390
+by dt، الـ L constant، هتكون ناقص L sine theta d
+
+68
+00:06:00,390 --> 00:06:04,990
+theta by dt، معناته الـ VA بيساوي XA dot بيساوي L
+
+69
+00:06:04,990 --> 00:06:08,050
+theta dot cosine theta، theta dot اللي هي ايش؟ الـ
+
+70
+00:06:08,050 --> 00:06:12,470
+angular velocity، اللي هي L omega cosine theta، والـ
+
+71
+00:06:12,470 --> 00:06:16,510
+VB بيساوي YB dot اللي هي ناقص L theta dot sine
+
+72
+00:06:16,510 --> 00:06:19,880
+theta، اللي هي ناقص L omega sine theta، إذا بدي أحسب
+
+73
+00:06:19,880 --> 00:06:26,740
+الـ acceleration، ايه؟ ايه؟ ايه؟ هتكون dVA by dt، الـ L
+
+74
+00:06:26,740 --> 00:06:33,280
+constant، بأحكي مشتقة الأول في الثاني زائد الأول في
+
+75
+00:06:33,280 --> 00:06:38,140
+مشتقة الثاني، يعني هتكون ان دي ايه؟ ايه؟ بالثوابت
+
+76
+00:06:38,140 --> 00:06:46,070
+مشتقة .. بتكون ناقص L، مشتقة الأول اللي هو مشتقة
+
+77
+00:06:46,070 --> 00:06:49,330
+اللي هو قياس الـ cosine، هتكون ناقص sine theta في
+
+78
+00:06:49,330 --> 00:06:52,690
+theta dot، يعني بيصير theta dot تربيع زائد L theta double
+
+79
+00:06:52,690 --> 00:06:57,330
+dot cosine theta، معناته الـ a a بيساوي ناقص L omega
+
+80
+00:06:57,330 --> 00:07:01,630
+square sine theta زائد L alpha cosine theta، الـ a
+
+81
+00:07:01,630 --> 00:07:11,100
+b برضه مشتقة الأول للـ VB، اللي هتكون ناقص L theta
+
+82
+00:07:11,100 --> 00:07:15,740
+double dot sine theta ناقص L theta dot تربيع
+
+83
+00:07:15,740 --> 00:07:20,000
+cosine theta، خلينا
+
+84
+00:07:20,000 --> 00:07:28,400
+نحَل أمثلة، عندي
+
+85
+00:07:28,400 --> 00:07:31,300
+نفس المثال، بس هعمل acceleration analysis
+
+86
+00:07:51,230 --> 00:08:02,450
+هذا الـ rack السفلي، هذا ثابت، وفيه rack علوي متحرك
+
+87
+00:08:02,450 --> 00:08:15,050
+هذا المركز A، هذا B، هذه النقطة C، هذه النقطة D
+
+88
+00:08:15,050 --> 00:08:18,290
+معطيني VA
+
+89
+00:08:22,330 --> 00:08:29,730
+اللي هي 1.2 متر في الثانية، و
+
+90
+00:08:29,730 --> 00:08:34,810
+AA 3
+
+91
+00:08:34,810 --> 00:08:39,770
+متر على 3 متر لكل ثانية تقريباً، للاتنين باتجاه
+
+92
+00:08:39,770 --> 00:08:46,350
+اليمين، الـ
+
+93
+00:08:46,350 --> 00:08:51,980
+rack السفلي ثابت، احنا في المحاضرة الفاتت عملنا
+
+94
+00:08:51,980 --> 00:08:55,040
+velocity analysis، وحسبنا الـ omega، كم طلعت الـ
+
+95
+00:08:55,040 --> 00:08:59,200
+omega؟ 8
+
+96
+00:08:59,200 --> 00:09:04,460
+صح، هذا R
+
+97
+00:09:04,460 --> 00:09:09,980
+2، وهذا هذا
+
+98
+00:09:09,980 --> 00:09:16,480
+R 1، R 1 كم؟
+
+99
+00:09:16,480 --> 00:09:17,340
+150
+
+100
+00:09:24,050 --> 00:09:30,450
+وR 2، 200
+
+101
+00:09:30,450 --> 00:09:37,150
+ملم، الـ Omega طلعت
+
+102
+00:09:37,150 --> 00:09:42,470
+إذا فاكرين، 8 radian per second، clockwise
+
+103
+00:09:42,470 --> 00:09:47,910
+مظبوط، لأن
+
+104
+00:09:47,910 --> 00:09:51,390
+عندي
+
+105
+00:09:51,390 --> 00:09:52,230
+VA
+
+106
+00:09:56,950 --> 00:10:02,930
+والـ AA، بدي
+
+107
+00:10:02,930 --> 00:10:13,230
+الـ alpha بتاعة الـ gear اللي
+
+108
+00:10:13,230 --> 00:10:19,530
+.. الـ .. الـ .. الـ VC دائماً، صارت هذه صفر، الـ
+
+109
+00:10:19,530 --> 00:10:23,430
+VC صفر
+
+110
+00:10:23,430 --> 00:10:26,090
+all the time
+
+111
+00:10:31,290 --> 00:10:38,670
+لكن فيه rotation، فيه تغير في ايش؟ في السرعة، أنت
+
+112
+00:10:38,670 --> 00:10:42,910
+الصفر، اعتبر كأنها .. السرعة هي قيمة، بس قيمتها صفر
+
+113
+00:10:42,910 --> 00:10:48,350
+لكن فيه تغير في الـ direction، صح؟ لأنه الدليل أنه فيه
+
+114
+00:10:48,350 --> 00:10:53,850
+rotation، فيه دوران للـ .. للـ .. للـ ترس، مثلاً أنا ما بقدرش
+
+115
+00:10:53,850 --> 00:10:58,990
+أحكي a a اللي
+
+116
+00:10:58,990 --> 00:10:59,830
+هي اتجاهها
+
+117
+00:11:06,570 --> 00:11:20,290
+بتساوي AC، مش عارف اتجاهها، زائد AC normal
+
+118
+00:11:20,290 --> 00:11:29,550
+زائد
+
+119
+00:11:38,810 --> 00:11:44,810
+A AC Tangential
+
+120
+00:11:44,810 --> 00:11:57,110
+تكون بهذا الاتجاه، أنا
+
+121
+00:11:57,110 --> 00:12:00,650
+ليه أخيراً ما حطيتش الاتجاه بتاع هذه العلاقة؟ عندك هذه
+
+122
+00:12:00,650 --> 00:12:01,210
+أفقي
+
+123
+00:12:05,080 --> 00:12:11,340
+أفقي، احنا حكينا سرعة الـ VC صفر all the time، معناته
+
+124
+00:12:11,340 --> 00:12:16,680
+احنا حكينا، لا يعني أن سرعة النقطة C صفر، أن الـ
+
+125
+00:12:16,680 --> 00:12:25,240
+acceleration بتاعة C بيساوي صفر، معناته هذه، عشان
+
+126
+00:12:25,240 --> 00:12:29,920
+to balance this equation، هذه هتكون زي هيك، مظبوط؟
+
+127
+00:12:33,160 --> 00:12:42,080
+والـ a c، it's due only لـ .. لـ .. للتغير، لأن الـ a
+
+128
+00:12:42,080 --> 00:12:48,220
+اللي هي عندي عبارة عن 3 متر per second square
+
+129
+00:12:48,220 --> 00:12:52,340
+بهذا الاتجاه، بتساوي
+
+130
+00:12:52,340 --> 00:12:56,380
+a c بهذا
+
+131
+00:12:56,380 --> 00:13:05,570
+الاتجاه، زائد AAC normal هي عبارة عن omega square في
+
+132
+00:13:05,570 --> 00:13:12,510
+R واحد، صح؟ لتحت، زائد
+
+133
+00:13:12,510 --> 00:13:15,610
+AAC
+
+134
+00:13:15,610 --> 00:13:22,570
+tangential هي عبارة عن alpha في R واحد، وهاي اتجاهها
+
+135
+00:13:22,570 --> 00:13:27,370
+صح؟ خذ
+
+136
+00:13:27,370 --> 00:13:28,150
+الـ X component
+
+137
+00:13:38,390 --> 00:13:48,070
+يكون 3 بيساوي alpha في R واحد، كم؟ يعني 0.15 متر، معناته alpha هتكون 30
+
+138
+00:13:48,070 --> 00:13:58,970
+على 0.15، يعني 3 على 0.15
+
+139
+00:13:58,970 --> 00:14:03,330
+كم تطلع؟ 20
+
+140
+00:14:10,310 --> 00:14:19,090
+راديان per second squared، الـ Y component
+
+141
+00:14:19,090 --> 00:14:26,890
+هيكون
+
+142
+00:14:26,890 --> 00:14:36,350
+دي على اليمين، على الشمال، الصفر بيساوي AC ناقص
+
+143
+00:14:36,350 --> 00:14:45,050
+هذه لتحت، اللي هي omega squared R1، Omega squared R1
+
+144
+00:14:45,050 --> 00:14:51,990
+يعني AC هتكون تساوي omega squared R1، اللي هي omega
+
+145
+00:14:51,990 --> 00:14:58,310
+squared عندي، اللي هي 8 تربيع في 0.15
+
+146
+00:14:58,310 --> 00:15:04,930
+9.6، يعني 9.6 متر per
+
+147
+00:15:04,930 --> 00:15:07,770
+second تربيع، فـ AC
+
+148
+00:15:14,340 --> 00:15:22,360
+بعدين بده acceleration of points B, C and D، C
+
+149
+00:15:22,360 --> 00:15:30,120
+حلّيناها، ضالة N، ديار B، أنا هايت ترس
+
+150
+00:15:30,120 --> 00:15:34,400
+هاندي
+
+151
+00:15:34,400 --> 00:15:39,880
+AA، لأن
+
+152
+00:15:43,180 --> 00:15:52,920
+أنا هأحكي أن هذا هيساوي، في جزء الـ translation، هاي
+
+153
+00:15:52,920 --> 00:15:59,620
+الـ translation، هاي a a، هاي
+
+154
+00:15:59,620 --> 00:16:10,180
+a a، وهاي عندي a a، يعني هذا الـ translation with a
+
+155
+00:16:10,180 --> 00:16:20,020
+زائد rotation about a، هاي
+
+156
+00:16:20,020 --> 00:16:24,040
+a، as if it is a center of rotation، هيكون عندي هين
+
+157
+00:16:24,040 --> 00:16:36,420
+a,b,a normal و a,b,a tangential
+
+158
+00:16:36,420 --> 00:16:44,120
+وفي عندي دي، هين دي، برا عندي
+
+159
+00:16:46,770 --> 00:16:57,550
+a d a normal وعندي a d a tangential، أنا بأود أجي
+
+160
+00:16:57,550 --> 00:17:01,810
+أحكي AB كـ
+
+161
+00:17:01,810 --> 00:17:17,620
+vector، بيساوي a a، هاي اتجاهها، صح؟ زائد a b a، الـ
+
+162
+00:17:17,620 --> 00:17:32,840
+normal هتكون لتحت، صح؟ زائد a b a tangential هتكون
+
+163
+00:17:32,840 --> 00:17:42,640
+بهذا الاتجاه، الـ a a اللي
+
+164
+00:17:42,640 --> 00:17:51,700
+هي 3 meter per second square، هاي اتجاهها، زائد a
+
+165
+00:17:51,700 --> 00:17:57,340
+b a normal اللي هي عبارة عن omega square في
+
+166
+00:17:57,340 --> 00:18:03,560
+R اتنين، صح؟ زائد
+
+167
+00:18:03,560 --> 00:18:12,440
+alpha في R اتنين، يعني
+
+168
+00:18:12,440 --> 00:18:21,540
+هتكون 3 متر per second square بهذا الاتجاه، زائد
+
+169
+00:18:21,540 --> 00:18:27,120
+omega اللي هي عبارة عن ايش؟ 8 تربيع في 0.
+
+170
+00:18:27,120 --> 00:18:33,460
+1، صح؟ هذا الاتجاه، زائد alpha اللي هي 9.6
+
+171
+00:18:33,460 --> 00:18:46,320
+في 0.1، يعني هتكون، هذا محدد اتجاهها، تكون 3
+
+172
+00:18:46,320 --> 00:18:52,500
+.96، 3.96 بهذا الاتجاه
+
+173
+00:18:52,500 --> 00:19:03,940
+زائد 6.4 لتحت، معناته الـ AB لها
+
+174
+00:19:03,940 --> 00:19:08,780
+مركبتين، هاي
+
+175
+00:19:08,780 --> 00:19:12,860
+3.96، وهاي
+
+176
+00:19:23,430 --> 00:19:32,990
+وهذه هتكون AB، هذه اللي هي 6.4، وهذه
+
+177
+00:19:32,990 --> 00:19:37,930
+3.96، أنت، خلينا نسمي هذه الزاوية
+
+178
+00:19:37,930 --> 00:19:45,150
+ايش؟ ثيتا، ثيتا
+
+179
+00:19:45,150 --> 00:19:49,490
+هتكون تساوي تان انفرس
+
+180
+00:19:52,150 --> 00:19:56,630
+الـ 6.4 على
+
+181
+00:19:56,630 --> 00:20:01,190
+3
+
+182
+00:20:01,190 --> 00:20:09,770
+.96، وقيمة
+
+183
+00:20:0
+
+223
+00:26:47,220 --> 00:26:52,580
+بساوي مئتين و ثمانية و ثمانين، وكم ثمانية point
+
+224
+00:26:52,580 --> 00:26:58,100
+something
+
+225
+00:26:58,100 --> 00:27:03,300
+مئتان
+
+226
+00:27:03,300 --> 00:27:10,100
+وتسعة فاصلة أربعة radian per second clockwise
+
+227
+00:27:16,160 --> 00:27:18,500
+والـ Alpha هو بيحكي لي constant angular velocity
+
+228
+00:27:18,500 --> 00:27:23,300
+للـ... لل crank معناته Alpha AB إيش الساعة؟ صفر
+
+229
+00:27:23,300 --> 00:27:27,180
+Determine
+
+230
+00:27:27,180 --> 00:27:29,660
+the angular acceleration of the connecting rod BD
+
+231
+00:27:29,660 --> 00:27:36,800
+و ال acceleration لنقطة D الـ
+
+232
+00:27:36,800 --> 00:27:40,100
+acceleration نقطة B لما أعتبرهـا واقعـة على ال crank
+
+233
+00:27:40,100 --> 00:27:44,380
+AB هيكون عنده مركبتين الـ AB
+
+234
+00:27:47,770 --> 00:27:56,450
+هتكون فيها a b normal بهذا الاتجاه، اتجاه
+
+235
+00:27:56,450 --> 00:28:05,430
+من b لـ a لأن هذا الزاوية 40 درجة زائد
+
+236
+00:28:05,430 --> 00:28:13,930
+a b tangential هتكون عمودية على هذه
+
+237
+00:28:27,330 --> 00:28:34,850
+طبعاً هذه صفر لأن الـ alpha هذه في كلها ساويـة omega a
+
+238
+00:28:34,850 --> 00:28:45,050
+omega تربيع في R و ازاي هتعملها إيه؟ أربعين
+
+239
+00:28:45,050 --> 00:28:53,010
+زائد alpha a b في R
+
+240
+00:29:00,910 --> 00:29:05,830
+طبعاً هذه إيش هتكون ساويـة؟ صفر
+
+241
+00:29:05,830 --> 00:29:13,350
+يعني هتكون AB أمجد
+
+242
+00:29:13,350 --> 00:29:18,890
+AB تربيع يعني مئتين و تسعة فاصلة أربعة في الـ R
+
+243
+00:29:18,890 --> 00:29:21,530
+ثلاثة
+
+244
+00:29:31,200 --> 00:29:37,540
+هذه كم تطلع؟ 628 هذه التربيع يعني
+
+245
+00:29:37,540 --> 00:29:40,700
+131
+
+246
+00:29:40,700 --> 00:29:50,540
+ألف، 131 ألف إيه؟ وخمسة إيه كام؟ 131.514.3 أعطيني
+
+247
+00:29:50,540 --> 00:29:55,240
+رقم كام بدون... معادل بدون... 131.043 إيه؟ صفر
+
+248
+00:29:55,240 --> 00:30:06,510
+أربعة ثلاثة اللي هو إنش second تربيع بيعمل
+
+249
+00:30:06,510 --> 00:30:12,250
+زاوية أربعين درجة طيب
+
+250
+00:30:12,250 --> 00:30:19,210
+أنا حاجة أدرس الـ link بيدي، إحنا حسبنا بيتا إمبارح
+
+251
+00:30:19,210 --> 00:30:28,850
+صح؟ إذا فاكرين بيتا كم طلعناها؟ كم؟ طيب
+
+252
+00:30:30,410 --> 00:30:44,570
+الـ link بيدي هاي بيدي إنها كده AB هاي AB نفس
+
+253
+00:30:44,570 --> 00:30:52,790
+الـ AB دلوقت صح؟ و بتعمل مع القاعدة إيه؟ أربعين درجة
+
+254
+00:30:52,790 --> 00:30:54,470
+و هاي AD
+
+255
+00:31:06,680 --> 00:31:13,820
+هتساوي translation with بيه هي هتكون عندي هي a
+
+256
+00:31:13,820 --> 00:31:18,760
+,b a
+
+257
+00:31:18,760 --> 00:31:24,780
+,b هذه الـ translation with بيه زائد
+
+258
+00:31:27,930 --> 00:31:33,570
+Rotation about B Rotation about B يعني هيكون هي
+
+259
+00:31:33,570 --> 00:31:45,410
+عندك هي هذي B هذي D هذي B هذي D هذي B هذي Rotation
+
+260
+00:31:45,410 --> 00:31:54,730
+about B يعني هيكون بـ و د هـ تكون A D B Normal
+
+261
+00:31:54,730 --> 00:31:56,810
+وعندي
+
+262
+00:32:00,200 --> 00:32:07,560
+هنحكي، أفرض هذه الإتجاه AD B tangential
+
+263
+00:32:07,560 --> 00:32:10,780
+يعني
+
+264
+00:32:10,780 --> 00:32:22,720
+هيكون AD كـ vector هذه الإتجاهة بالساويـة AB هذه
+
+265
+00:32:22,720 --> 00:32:27,760
+الإتجاه بالزاوية
+
+266
+00:32:27,760 --> 00:32:42,200
+أربعين زائد AD بالنسبة لـ بـ normal وهي إتجاهها
+
+267
+00:32:42,200 --> 00:32:55,920
+بزاوية ثلاث عشرة فاصلة تسعة زائد AD بالنسبة لـ بـ
+
+268
+00:32:55,920 --> 00:33:05,070
+tangential وهتكون زاوية
+
+269
+00:33:05,070 --> 00:33:13,250
+ثلاث عشرة فاصلة تسعة يعني
+
+270
+00:33:13,250 --> 00:33:21,490
+عند الـ AP حسبناها 131.043
+
+271
+00:33:21,490 --> 00:33:24,550
+تعمل زاوية
+
+272
+00:33:28,830 --> 00:33:36,470
+أربعين زي AD بـ Normal هتكون omega BD omega
+
+273
+00:33:36,470 --> 00:33:44,730
+BD هنطلعها برا هين عشان أحكي إن AD B
+
+274
+00:33:50,330 --> 00:33:58,030
+Normal بالساويـة Omega BD تربيع في L Omega BD
+
+275
+00:33:58,030 --> 00:34:01,390
+حسبناها المرة الماضية كم كانت قيمتها
+
+276
+00:34:08,020 --> 00:34:16,220
+DB tangential بيساوي Alpha BD في L يعني هتكون
+
+277
+00:34:16,220 --> 00:34:21,080
+ثمانية Alpha BD
+
+278
+00:34:37,980 --> 00:34:46,860
+تربيع في ثمانية تربيع في ثمانية تربيع
+
+279
+00:34:46,860 --> 00:34:56,120
+في ثمانية تربيع في ثمانية تربيع
+
+280
+00:34:56,120 --> 00:34:58,780
+في ثمانية تربيع في ثمانية تربيع في ثمانية تربيع في
+
+281
+00:34:58,780 --> 00:34:59,760
+ثمانية تربيع في ثمانية تربيع في ثمانية تربيع في
+
+282
+00:34:59,760 --> 00:35:05,280
+ثمانية تربيع في ثمانية تربيع في ثمانية تربيع
+
+283
+00:35:05,280 --> 00:35:12,960
+في ثمانية،سبعمئة واثنين وخمسين inch per second
+
+284
+00:35:12,960 --> 00:35:16,820
+square زاوية
+
+285
+00:35:16,820 --> 00:35:22,000
+ثلاث عشرة فاصلة تسعة زائد AD tangential اللي هي
+
+286
+00:35:22,000 --> 00:35:31,740
+ثمانية ألف BD والزاوية ثلاث عشرة
+
+287
+00:35:31,740 --> 00:35:38,100
+فاصلة تسعة هاي الـ AD طبعاً ممكن أبدأ في الـ X
+
+288
+00:35:38,100 --> 00:35:40,040
+component بس لأ خليني أبدأ في الـ Y component عشان
+
+289
+00:35:40,040 --> 00:35:48,000
+أصفّر هذه، ده أحكي الـ Y component هاي
+
+290
+00:35:48,000 --> 00:35:56,920
+الموجب هيكون عندي هنا صفر مظبوط بتساوي
+
+291
+00:35:56,920 --> 00:36:01,300
+minus 131043
+
+292
+00:36:01,300 --> 00:36:03,600
+sin 40
+
+293
+00:36:06,410 --> 00:36:13,810
+زائد ثلاثين ألف وسبعمئة واثنين وخمسين sin ثلاث عشرة
+
+294
+00:36:13,810 --> 00:36:18,310
+فاصلة تسعة زائد
+
+295
+00:36:18,310 --> 00:36:30,230
+ثمانية ألف BD cos ثلاث عشرة فاصلة تسعة، ومن هنا
+
+296
+00:36:30,230 --> 00:36:30,790
+بحسب
+
+297
+00:36:33,630 --> 00:36:43,310
+الـ Alpha BD يكون
+
+298
+00:36:43,310 --> 00:36:54,390
+هذا ناقص هذا على ثمانية Cos بعدها
+
+299
+00:36:54,390 --> 00:37:00,970
+هاخد الـ X component وهذا
+
+300
+00:37:00,970 --> 00:37:01,990
+الإتجاه الموجب
+
+301
+00:37:05,000 --> 00:37:10,160
+الـ X component هيكون عندي هيكون
+
+302
+00:37:10,160 --> 00:37:16,000
+الساوي ناقص مئة وواحد وثلاثين ألف وثلاثة وأربعين
+
+303
+00:37:16,000 --> 00:37:24,280
+cos الأربعين ناقص
+
+304
+00:37:24,280 --> 00:37:29,540
+ثلاثين ألف ثلاثين
+
+305
+00:37:29,540 --> 00:37:31,500
+ألف وسبعمئة واثنين وخمسين
+
+306
+00:37:34,190 --> 00:37:40,090
+cos 13.9 زائد
+
+307
+00:37:40,090 --> 00:37:52,870
+ثمانية ألف Alpha BD إيش طلعت؟ مستني
+
+308
+00:37:52,870 --> 00:37:59,510
+يطلع سالب هذه بتيجي على جهة ثانية موجب يعني هذه
+
+309
+00:37:59,510 --> 00:38:00,270
+ناقص هذه
+
+310
+00:38:03,610 --> 00:38:12,370
+بالضبط هذا أكيد أكبر من هذا، مظبوط؟ لأنه الرقم هذا
+
+311
+00:38:12,370 --> 00:38:15,450
+أكبر من هذا، هي واحد والـ sign الأربعين أكتر من الـ
+
+312
+00:38:15,450 --> 00:38:21,770
+sign الثلاث عشرة دائماً
+
+313
+00:38:21,770 --> 00:38:26,370
+طلع الأرقام، ما تحسبوش بس، ما تتركوها على الحاسبة
+
+314
+00:38:26,370 --> 00:38:30,350
+الحاسبة، اتركوها على الأرقام، منطق ولا مش منطق
+
+315
+00:38:30,350 --> 00:38:30,930
+الرقم؟
+
+316
+00:38:36,240 --> 00:38:39,620
+أنا مستغرب لصورتكم في الحاسب، المفروض تتدربوا
+
+317
+00:38:39,620 --> 00:38:43,660
+على الحاسب، بطيئين كتير، عشر آلاف وثمانية وسبعين
+
+318
+00:38:43,660 --> 00:38:50,120
+وثلاثين، عشر آلاف وثمانية وسبعين وثلاثين هي radian
+
+319
+00:38:50,120 --> 00:38:55,580
+per second squared معناته هنا حاسبكم ثمانية في عشر
+
+320
+00:38:55,580 --> 00:39:01,700
+آلاف ثمانية وسبعين وثلاثين في
+
+321
+00:39:08,040 --> 00:39:14,000
+الـ X component في الـ sign ثلاث عشرة
+
+322
+00:39:14,000 --> 00:39:19,000
+فاصلة تسعة منها بتحسبه معك الـ alpha دي طبعاً الـ
+
+323
+00:39:19,000 --> 00:39:26,320
+alpha دي هتكون بعكس عقارب الساعة يعني
+
+324
+00:39:26,320 --> 00:39:31,520
+أكل
+
+325
+00:39:31,520 --> 00:39:32,060
+طلع اليدين
+
+326
+00:39:46,360 --> 00:39:49,740
+طيب تحسّب اليدين براحتك معك ربع ساعة، تأكل عافية
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/c7Uqbvk11Jo_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/c7Uqbvk11Jo_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..c5c02476f4d963300e626da209822ccba233005f
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/c7Uqbvk11Jo_raw.srt
@@ -0,0 +1,1304 @@
+1
+00:00:05,430 --> 00:00:08,450
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,450 --> 00:00:12,630
+وبركاته و هنكمل في مادة ال dynamica المحاضرات
+
+3
+00:00:12,630 --> 00:00:15,390
+السابقة بدأنا نحكي عن ال kinematics of rigid
+
+4
+00:00:15,390 --> 00:00:19,770
+bodies حكينا عن الحركة الانتقالية للأجسام الجاسية
+
+5
+00:00:19,770 --> 00:00:24,090
+الحركة حوالين المحور ثابت بعدين general plan
+
+6
+00:00:24,090 --> 00:00:29,120
+motion عملناRelative Velocity Analysis VB بيستوى
+
+7
+00:00:29,120 --> 00:00:33,200
+VA زي VBA يعني مجموع الحركة جزءين جزء انتقالي وجزء
+
+8
+00:00:33,200 --> 00:00:36,960
+دوراني بعدين عملنا Velocity Analysis باستخدام ال
+
+9
+00:00:36,960 --> 00:00:41,420
+Instant Center Method حلنا مجموعة من الأمثلة اليوم
+
+10
+00:00:41,420 --> 00:00:46,280
+هنكمل نعمل acceleration analysis ل general plan
+
+11
+00:00:46,280 --> 00:00:53,360
+motion زي ما انتوا شايفين عندي
+
+12
+00:00:53,360 --> 00:01:01,020
+جسمبتحرك general plan motion في عندى two particles
+
+13
+00:01:01,020 --> 00:01:05,860
+على الجسم particle A و particle B زى ما هو مبين
+
+14
+00:01:05,860 --> 00:01:11,340
+لنا ال V ال acceleration ل A بتستويس ال
+
+15
+00:01:11,340 --> 00:01:14,600
+acceleration ل B من حيث ال K و من حيث الاتجاه
+
+16
+00:01:14,600 --> 00:01:23,520
+معناته الحركة فيها انتقال و فيها دوران معناته ممكن
+
+17
+00:01:23,520 --> 00:01:28,770
+انا اجزئها لجزين جزءtranslation with a اللي هو
+
+18
+00:01:28,770 --> 00:01:31,770
+بتكون في الحلقة دي a .. a بيستوى .. ال
+
+19
+00:01:31,770 --> 00:01:34,190
+acceleration عند a بتكون سوى ال acceleration عند b
+
+20
+00:01:34,190 --> 00:01:40,430
+وجزء دوران .. دوران حوالين a الدوران حوالين a
+
+21
+00:01:40,430 --> 00:01:45,610
+هتكون عند a b acceleration نسبة ل b بيستوى ال
+
+22
+00:01:45,610 --> 00:01:50,410
+acceleration ل a زاد ال a b a ال a b a هيكون جزءين
+
+23
+00:01:50,410 --> 00:01:54,810
+جزء normal direction لأن هذا مركز دوران من b ل a a
+
+24
+00:01:54,810 --> 00:02:00,530
+b a normalهو جزء tangential a b a tangential ال
+
+25
+00:02:00,530 --> 00:02:04,810
+normal direction نتيجة ال rotation بيصير عندك h
+
+26
+00:02:04,810 --> 00:02:08,310
+normal component وال tangential component نتيجة
+
+27
+00:02:08,310 --> 00:02:11,770
+التغير في قيمة الصراع بيصير عندك tangential
+
+28
+00:02:11,770 --> 00:02:18,390
+component ف ال a b a اللي هو هيكون جزء منها
+
+29
+00:02:18,390 --> 00:02:21,290
+tangential a b a tangential اللي بيستوى alpha في R
+
+30
+00:02:22,200 --> 00:02:25,400
+وعندي ال a b a normal اللى هى نتيجة ال rotation
+
+31
+00:02:25,400 --> 00:02:32,480
+اللى هى r فى omega square الآن ال nor component
+
+32
+00:02:32,480 --> 00:02:37,640
+دايما بتكون فى اتجاه مركز دوران ال tangential
+
+33
+00:02:37,640 --> 00:02:42,220
+component بتكون عمودية على الخط الواصل بين النقطة
+
+34
+00:02:42,220 --> 00:02:45,720
+a و النقطة b بس اتجاهها ممكن تكون بهذا الاتجاه او
+
+35
+00:02:45,720 --> 00:02:52,350
+الاتجاه المعاكس يعني بحسبإذا كان قيمة الصراع
+
+36
+00:02:52,350 --> 00:03:04,810
+تتزايد أو قيمة الصراعية تتنقص طيب
+
+37
+00:03:08,360 --> 00:03:12,580
+معناته عند ال a,b بيستوى a زي a,b,a هيكون انا
+
+38
+00:03:12,580 --> 00:03:15,580
+ملاقيتها ك vector equation عندها هيكون a,a اللي هي
+
+39
+00:03:15,580 --> 00:03:19,900
+جزء ايه الترانزليشن هذه a,b,a normal وهذه a,b,a
+
+40
+00:03:19,900 --> 00:03:25,840
+tangential عند هنا هي عند هنا ال .. الرد a,b ممسوك
+
+41
+00:03:25,840 --> 00:03:29,800
+بblock عند a و block عند a هذه ال explanation
+
+42
+00:03:29,800 --> 00:03:33,560
+بتاعة a في اتجاه اليمين وال explanation بتاعة b
+
+43
+00:03:33,560 --> 00:03:37,760
+لتحتهتكون جزء منها translation with a يعني هتكون
+
+44
+00:03:37,760 --> 00:03:43,380
+عندي هنا a a و هنا a a و جزء rotation حوالين a
+
+45
+00:03:43,380 --> 00:03:48,760
+هيكون عندي a b a normal و a b a تلجيب ممكن تكون
+
+46
+00:03:48,760 --> 00:03:54,180
+بهذا الاتجاه او بهذا الاتجاه الان عندي هاي ال a b
+
+47
+00:03:54,180 --> 00:04:01,640
+لتحت و هاي ال a e احنا عكينا a b بيساوي a a زاد a
+
+48
+00:04:01,640 --> 00:04:04,240
+b a و ال a b a في عندي a b a normal هاي a b a
+
+49
+00:04:04,240 --> 00:04:10,250
+normalهذه a,b,a normal ال a,b,a تنجينشال هتكون ايش
+
+50
+00:04:10,250 --> 00:04:16,430
+عمودي عليها طبعا من خلال polygonal rift للاتجاه
+
+51
+00:04:16,430 --> 00:04:21,150
+بتاعة التنجينشال لانه هتتقطع مع a,b في النقطة هذه
+
+52
+00:04:21,150 --> 00:04:26,610
+مش هتكون من اتجاه المعاكس اكيد صح فهتكون a,b بستوى
+
+53
+00:04:26,610 --> 00:04:32,470
+a,a زي a,b,a normal زي a,b,a تنجينشال
+
+54
+00:04:35,960 --> 00:04:44,780
+إذا باخد ال X component هتكون ده Zero زائد a a
+
+55
+00:04:44,780 --> 00:04:51,220
+زائد طبعا هذي الزاوية theta زائد ال a با نورا
+
+56
+00:04:51,220 --> 00:04:55,520
+هتكون ال omega square sine theta minus ال alpha
+
+57
+00:04:55,520 --> 00:05:02,090
+cosine theta هذا بال X بال positive Yهيكون عندى
+
+58
+00:05:02,090 --> 00:05:06,870
+minus ab بيسمى minus L omega squared cosine theta
+
+59
+00:05:06,870 --> 00:05:12,790
+minus L alpha sine theta لأن
+
+60
+00:05:12,790 --> 00:05:16,130
+في طريقة تانية لأعمل analysis in terms of a
+
+61
+00:05:16,130 --> 00:05:21,450
+parameter يعني مثلا هنا .. هنا أنا بحكي هذه طولة L
+
+62
+00:05:21,450 --> 00:05:24,850
+وهذه زاوية theta معناته ال X بتاعة النقطة XA إيه
+
+63
+00:05:24,850 --> 00:05:31,680
+شو الساوية؟L sin θ صح و ال Y تاعتبري ايش يستوي L
+
+64
+00:05:31,680 --> 00:05:39,160
+cos θ معناته ال XA بيستوي L sin θ و ال YB بيستوي L
+
+65
+00:05:39,160 --> 00:05:46,860
+cos θ طيب ال VA ايش يستوي DXA by DT ال L ايش معناه
+
+66
+00:05:46,860 --> 00:05:55,190
+constant هتكون L cos θ Dθ by DTو ال Vb بيستوى dyb
+
+67
+00:05:55,190 --> 00:06:00,390
+by dt ال L constant هتكون minus L sine theta d
+
+68
+00:06:00,390 --> 00:06:04,990
+theta by dt معناته ال V a بيستوى x a dot بيستوى L
+
+69
+00:06:04,990 --> 00:06:08,050
+theta dot cosine theta theta dot اللي هي ايش ال
+
+70
+00:06:08,050 --> 00:06:12,470
+angular velocity اللي هي L omega cosine theta و ال
+
+71
+00:06:12,470 --> 00:06:16,510
+Vb بيستوى yb dot اللي هي minus L theta dot sine
+
+72
+00:06:16,510 --> 00:06:19,880
+theta اللي هي minus L omega sine thetaإذا بدى احسس
+
+73
+00:06:19,880 --> 00:06:26,740
+ال accentational ايه ايه ايه هتكون dva by dt ال L
+
+74
+00:06:26,740 --> 00:06:33,280
+constant بحكي مشتقة الأول في التاني زاد الأول في
+
+75
+00:06:33,280 --> 00:06:38,140
+مشتقة التاني يعني هتكون ان دي ايه ايه بالثواب
+
+76
+00:06:38,140 --> 00:06:46,070
+مشتقة ..بتكون minus L مشتقة الأول اللي هيهو مشطق
+
+77
+00:06:46,070 --> 00:06:49,330
+اللي هو عياش ال cosine هتكون minus sine theta في
+
+78
+00:06:49,330 --> 00:06:52,690
+theta دوة يعني بيصير theta dot زاد L theta double
+
+79
+00:06:52,690 --> 00:06:57,330
+dot cosine theta معناته ال a a بيسوا minus L omega
+
+80
+00:06:57,330 --> 00:07:01,630
+square sine theta زاد L alpha cosine theta ال a
+
+81
+00:07:01,630 --> 00:07:11,100
+بيه برضه مشطقة الأوللل VB اللي هتكون minus L theta
+
+82
+00:07:11,100 --> 00:07:15,740
+double dot sine theta minus L theta dot تربيع
+
+83
+00:07:15,740 --> 00:07:20,000
+cosine theta خلي
+
+84
+00:07:20,000 --> 00:07:28,400
+نحل أمثلة عندي
+
+85
+00:07:28,400 --> 00:07:31,300
+نفس المثل بس هعمل acceleration analysis
+
+86
+00:07:51,230 --> 00:08:02,450
+هي الراك السفلي هذا ثابت وفي راك علوي متحرك
+
+87
+00:08:02,450 --> 00:08:15,050
+هذا المركز A هذا B هذا النقطة C هذا النقطة D
+
+88
+00:08:15,050 --> 00:08:18,290
+معطيني VA
+
+89
+00:08:22,330 --> 00:08:29,730
+اللي هي واحد و اتنين من عشرة متر في الثانية و
+
+90
+00:08:29,730 --> 00:08:34,810
+AA تلاتة
+
+91
+00:08:34,810 --> 00:08:39,770
+متر على تلاتة متر لكل ثانية تقريبا للاتنين باتجاه
+
+92
+00:08:39,770 --> 00:08:46,350
+اليمين ال
+
+93
+00:08:46,350 --> 00:08:51,980
+racket سفلي ثابتاحنا المحاضرة الفاتت عملنا
+
+94
+00:08:51,980 --> 00:08:55,040
+velocity analysis و حسبنا ال omega أكم طلعت ال
+
+95
+00:08:55,040 --> 00:08:59,200
+omega تمانية
+
+96
+00:08:59,200 --> 00:09:04,460
+صح هذا R
+
+97
+00:09:04,460 --> 00:09:09,980
+اتنين و هذا هذا
+
+98
+00:09:09,980 --> 00:09:16,480
+R واحد R واحد أكم
+
+99
+00:09:16,480 --> 00:09:17,340
+مية و خمسين
+
+100
+00:09:24,050 --> 00:09:30,450
+و R اتنين ميت
+
+101
+00:09:30,450 --> 00:09:37,150
+ملي ال Omega طلعت
+
+102
+00:09:37,150 --> 00:09:42,470
+اذا فاكرين تمانية ريديان per second clockwise
+
+103
+00:09:42,470 --> 00:09:47,910
+مظبوط لان
+
+104
+00:09:47,910 --> 00:09:51,390
+عندي
+
+105
+00:09:51,390 --> 00:09:52,230
+VA
+
+106
+00:09:56,950 --> 00:10:02,930
+و ال AA بدي
+
+107
+00:10:02,930 --> 00:10:13,230
+ال alpha بتاعة ال gear اللي
+
+108
+00:10:13,230 --> 00:10:19,530
+.. ال .. ال .. ال VC دايما صارت هذه سفر ال
+
+109
+00:10:19,530 --> 00:10:23,430
+VC سفر
+
+110
+00:10:23,430 --> 00:10:26,090
+all the time
+
+111
+00:10:31,290 --> 00:10:38,670
+لكن في rotation في تغير في ايش؟ في السرعة انت
+
+112
+00:10:38,670 --> 00:10:42,910
+السفر اتبع كأنها .. السفر هي قيمة بس قيمتها سفر
+
+113
+00:10:42,910 --> 00:10:48,350
+لكن في تغير في ال direction صح؟ لأنه الدليل انه في
+
+114
+00:10:48,350 --> 00:10:53,850
+rotation في ضحك لل .. لل .. لل ترس مثلا انا بقدرش
+
+115
+00:10:53,850 --> 00:10:58,990
+احكي a a اللي
+
+116
+00:10:58,990 --> 00:10:59,830
+هي اتجاهها
+
+117
+00:11:06,570 --> 00:11:20,290
+بتساوي AC مش عارف تجاهها زائد AC normal
+
+118
+00:11:20,290 --> 00:11:29,550
+زائد
+
+119
+00:11:38,810 --> 00:11:44,810
+A AC Tangential
+
+120
+00:11:44,810 --> 00:11:57,110
+تكون بهذا الاتجاه انا
+
+121
+00:11:57,110 --> 00:12:00,650
+ليش اخرت محطتش الاتجاه بتاع هذه اللاعظة عندك هذه
+
+122
+00:12:00,650 --> 00:12:01,210
+أفقه
+
+123
+00:12:05,080 --> 00:12:11,340
+أفقي انا حكينا سرعة ال VC صفر all the time معناته
+
+124
+00:12:11,340 --> 00:12:16,680
+احنا حكينا لا يعني ان سرعة النقطة C صفر ان ال
+
+125
+00:12:16,680 --> 00:12:25,240
+acceleration بتاعة C بالساوية صفر معناته هذه عشان
+
+126
+00:12:25,240 --> 00:12:29,920
+to balance this equation هذه هتكون زي هيك مظلوط؟
+
+127
+00:12:33,160 --> 00:12:42,080
+و ال a c it's due only ل .. لش ل change لأن ال a
+
+128
+00:12:42,080 --> 00:12:48,220
+اللي هي عندى عبارة عن تلاتة متر per second square
+
+129
+00:12:48,220 --> 00:12:52,340
+بهذا الاتجاه بتساوي
+
+130
+00:12:52,340 --> 00:12:56,380
+a c بهذا
+
+131
+00:12:56,380 --> 00:13:05,570
+الاتجاهزاد AAC normal هي عبارة عن omega square في
+
+132
+00:13:05,570 --> 00:13:12,510
+R واحد صح لتحت زاد
+
+133
+00:13:12,510 --> 00:13:15,610
+AAC
+
+134
+00:13:15,610 --> 00:13:22,570
+tangential هي عبارة عن الف في R واحد و هاي اتجاه
+
+135
+00:13:22,570 --> 00:13:27,370
+صح خد
+
+136
+00:13:27,370 --> 00:13:28,150
+ال X component
+
+137
+00:13:38,390 --> 00:13:48,070
+يكون تلاتة بيستوى ألفة في أر واحد أكم؟ يعني point
+
+138
+00:13:48,070 --> 00:13:58,970
+واحد خمس متر معناته ألفة هتكون تلاتين
+
+139
+00:13:58,970 --> 00:14:03,330
+على point واحد خمسة يعني تلاتة على point واحد خمسة
+
+140
+00:14:03,330 --> 00:14:06,030
+أكم تطلع؟ عشرين
+
+141
+00:14:10,310 --> 00:14:19,090
+الراديان per second squared ال Y component
+
+142
+00:14:19,090 --> 00:14:26,890
+هكون
+
+143
+00:14:26,890 --> 00:14:36,350
+دي على اليميني على الشمال الصفر بتساوي AC minus
+
+144
+00:14:36,350 --> 00:14:45,050
+هذه تحتاللي هي omega squared R1 Omega squared R1
+
+145
+00:14:45,050 --> 00:14:51,990
+يعني AC هتكون سواء omega squared R1 اللي هي omega
+
+146
+00:14:51,990 --> 00:14:58,310
+squared عندي اللي هي تمانية تربيع في point واحد
+
+147
+00:14:58,310 --> 00:15:04,930
+خمسة تسعة فاصلة ستة يعني تسعة فاصلة ستة متر per
+
+148
+00:15:04,930 --> 00:15:07,770
+second تربيع ف AC
+
+149
+00:15:14,340 --> 00:15:22,360
+بعدين بدو acceleration of points B, C and D C
+
+150
+00:15:22,360 --> 00:15:30,120
+حلناها ضالة N ديار B أنا هايت ترس
+
+151
+00:15:30,120 --> 00:15:34,400
+هاندي
+
+152
+00:15:34,400 --> 00:15:39,880
+AA لأن
+
+153
+00:15:43,180 --> 00:15:52,920
+انا هحكي انه هاد هتساوي في جزء ال translation هاي
+
+154
+00:15:52,920 --> 00:15:59,620
+ال translation هاي a a هاي
+
+155
+00:15:59,620 --> 00:16:10,180
+a a و هاي عندي a a يعني هاد ال translation with a
+
+156
+00:16:10,180 --> 00:16:20,020
+زاد rotationabout a هاي
+
+157
+00:16:20,020 --> 00:16:24,040
+a as if it is a center of rotation هيكون عندي هين
+
+158
+00:16:24,040 --> 00:16:36,420
+a,b,a normal و a,b,a tangential
+
+159
+00:16:36,420 --> 00:16:44,120
+وفي عندي دي هين دي برا عندي
+
+160
+00:16:46,770 --> 00:16:57,550
+ada normal وعندي ada tangential انا اتود اداجي
+
+161
+00:16:57,550 --> 00:17:01,810
+احكي ab ك
+
+162
+00:17:01,810 --> 00:17:17,620
+vector بالساوية a a هاي اتجاهها صح زاد a b aال
+
+163
+00:17:17,620 --> 00:17:32,840
+normal هتكون لتحت صح؟ زائد a b a tangential هتكون
+
+164
+00:17:32,840 --> 00:17:42,640
+بهذا ياش الاتجاه ال a a اللي
+
+165
+00:17:42,640 --> 00:17:51,700
+هي تلاتةmeter per second square هاي اتجاهها زاد a
+
+166
+00:17:51,700 --> 00:17:57,340
+b a normal اللي هي عبارة عن omega square في
+
+167
+00:17:57,340 --> 00:18:03,560
+R اتنين صح؟ زاد
+
+168
+00:18:03,560 --> 00:18:12,440
+alpha في R اتنين يعني
+
+169
+00:18:12,440 --> 00:18:21,540
+هتكونتلاتة متر per second square بهذا الاتجاه زاد
+
+170
+00:18:21,540 --> 00:18:27,120
+omega اللي هي عبارة عن ايش تمانية تربيع في point
+
+171
+00:18:27,120 --> 00:18:33,460
+واحد صح هذا الاتجاه زاد الف اللي هي تسعة point ستة
+
+172
+00:18:33,460 --> 00:18:46,320
+في point واحد يعني هتكون هذا محدد اتجاههتكون تلاتة
+
+173
+00:18:46,320 --> 00:18:52,500
+point تسعة ستة تلاتة point تسعة ستة بهذا الاتجاه
+
+174
+00:18:52,500 --> 00:19:03,940
+زائد ستة point أربعة لتحت معناته ال A بييلها
+
+175
+00:19:03,940 --> 00:19:08,780
+مركبتين هاي
+
+176
+00:19:08,780 --> 00:19:12,860
+تلاتة point تسعة ستة وهاي
+
+177
+00:19:23,430 --> 00:19:32,990
+و هذه هتكون AB هذه اللي هي ستة point أربعة و هذه
+
+178
+00:19:32,990 --> 00:19:37,930
+تلاتة point تسعة و ستة انت خلينا نسمي هذه الزاوية
+
+179
+00:19:37,930 --> 00:19:45,150
+ايش ثتا ثتا
+
+180
+00:19:45,150 --> 00:19:49,490
+هتكون تساوي تاني انفرس
+
+181
+00:19:52,150 --> 00:19:56,630
+الـ 6.4 على
+
+182
+00:19:56,630 --> 00:20:01,190
+3
+
+183
+00:20:01,190 --> 00:20:09,770
+.96 وقيمة
+
+184
+00:20:09,770 --> 00:20:21,770
+AB ستكون سواء الجزر التربيعي لـ 3.96تربية زي ستة
+
+185
+00:20:21,770 --> 00:20:32,950
+point أربعة تربية سبعة فاصلة معناته
+
+186
+00:20:32,950 --> 00:20:39,790
+a b ك vector بتساوي ليه سبعة فاصلة خمسة اتنين
+
+187
+00:20:39,790 --> 00:20:45,290
+meter per second square و بتعمل زاوية مع الأفق
+
+188
+00:20:50,960 --> 00:20:59,400
+تمانية خمسين point اتنين degrees هذا بالنسبة ل ..
+
+189
+00:20:59,400 --> 00:21:01,700
+ل ابي
+
+190
+00:21:08,320 --> 00:21:17,120
+بالنسبة ل دي ا دي ك vector فى عندى translation دي
+
+191
+00:21:17,120 --> 00:21:29,300
+a a اللى هى اتجاهها زائد a d a normal هى اتجاهها
+
+192
+00:21:29,300 --> 00:21:34,940
+زائد a d a tangential الاعلى
+
+193
+00:21:39,150 --> 00:21:46,490
+يعني هدا هتكون تلاتة meter per second square زائد
+
+194
+00:21:46,490 --> 00:21:57,770
+omega square R واحد بهذا الاتجاه زائد alpha R واحد
+
+195
+00:21:57,770 --> 00:22:05,650
+لأعلى يعني هتكون تلاتة زائد
+
+196
+00:22:07,660 --> 00:22:10,380
+omega square اللي هي omega عندها كم؟ تمانية تربيع
+
+197
+00:22:10,380 --> 00:22:21,940
+في point واحد خمسة زائد تسعة point ستة في point
+
+198
+00:22:21,940 --> 00:22:29,500
+واحد خمسة لأعلى يعني هيكون عندى يعني هدق اي
+
+199
+00:22:29,500 --> 00:22:36,610
+اتجاهها هيكون عندى تمانية تربيع اربع وستينهذه
+
+200
+00:22:36,610 --> 00:22:45,770
+اتناش من ستة يعني اتناش من ستة
+
+201
+00:22:45,770 --> 00:22:55,850
+زائد اكمل هذه واحد
+
+202
+00:22:55,850 --> 00:22:56,590
+فاصلة اربعة
+
+203
+00:23:06,950 --> 00:23:15,190
+معناته ا دي ا دي
+
+204
+00:23:15,190 --> 00:23:22,210
+هيكون مركبتين هي اتناش point
+
+205
+00:23:22,210 --> 00:23:34,450
+ستة واحد point اربعة حد
+
+206
+00:23:34,450 --> 00:23:35,870
+ازاى خلينا نسميها beta
+
+207
+00:23:40,960 --> 00:23:54,440
+معناته بيتا هتكون تاني ال verse و
+
+208
+00:23:54,440 --> 00:24:02,540
+a دي هتكون جزر التربية اللي واحد بند اربع تربية زي
+
+209
+00:24:02,540 --> 00:24:07,560
+اتناصفون ستة تربية ماشي فاصلة ستة كام؟ ماشي فاصلة
+
+210
+00:24:07,560 --> 00:24:17,450
+ستةيعنى منطقى هى 12.6 كتير 12.6 اه 12.6 تربيع زي 1
+
+211
+00:24:17,450 --> 00:24:27,330
+من 4 تربيع اه كم بيطلع الجواب 12.6 يعنى هذه صفر
+
+212
+00:24:27,330 --> 00:24:37,390
+كمية هذه 12.6 اه كم بيطلع 12.6 ثم 7 12.6 ثم 7 كم
+
+213
+00:24:37,390 --> 00:24:45,420
+هو الرقمmeter per second squared يعني ال a دي
+
+214
+00:24:45,420 --> 00:24:50,760
+هتكون تساوي ماشي
+
+215
+00:24:50,760 --> 00:24:56,680
+بيعمل
+
+216
+00:24:56,680 --> 00:24:57,660
+زاوية مع القفقة
+
+217
+00:25:13,280 --> 00:25:17,300
+في اي سؤال؟ حل المثال تاني
+
+218
+00:25:51,080 --> 00:26:13,080
+عندي crank AB هاي
+
+219
+00:26:13,080 --> 00:26:17,160
+AB D
+
+220
+00:26:21,080 --> 00:26:31,360
+ها دي R وها دي L هاتين ال R تلتة انش وال L تمانية
+
+221
+00:26:31,360 --> 00:26:36,020
+انش و
+
+222
+00:26:36,020 --> 00:26:45,620
+ال A B Omega A B مش سوى الفين RBM
+
+223
+00:26:47,220 --> 00:26:52,580
+بساوي متين و تمانية متين و اكم تمانية point
+
+224
+00:26:52,580 --> 00:26:58,100
+something
+
+225
+00:26:58,100 --> 00:27:03,300
+متين
+
+226
+00:27:03,300 --> 00:27:10,100
+وتسعة فاصلة اربعة radian per second clockwise
+
+227
+00:27:16,160 --> 00:27:18,500
+والـ Alpha هو بيحكي لي constant angle of velocity
+
+228
+00:27:18,500 --> 00:27:23,300
+لل .. لل crank معناته Alpha AB إيش الساعة؟ صفر
+
+229
+00:27:23,300 --> 00:27:27,180
+Determine
+
+230
+00:27:27,180 --> 00:27:29,660
+the angle of acceleration of the connecting rod BD
+
+231
+00:27:29,660 --> 00:27:36,800
+و ال acceleration لنقطة D ال
+
+232
+00:27:36,800 --> 00:27:40,100
+acceleration نقطة B لما اعتبرها واقع على ال crank
+
+233
+00:27:40,100 --> 00:27:44,380
+AB هكون عايش مركبتين ال AB
+
+234
+00:27:47,770 --> 00:27:56,450
+هتكون فيها a b normal بهذا الاتجاه اتجاه
+
+235
+00:27:56,450 --> 00:28:05,430
+من b ل a لان هذا الزائش 40 درجة زائد
+
+236
+00:28:05,430 --> 00:28:13,930
+a b tangential هتكون عمودي على هذه
+
+237
+00:28:27,330 --> 00:28:34,850
+طبعا هذه سفر لأن ال alpha هذه في كل ساوية omega a
+
+238
+00:28:34,850 --> 00:28:45,050
+b تربيع في R و ازاي هتعملها ايه اش اربعين
+
+239
+00:28:45,050 --> 00:28:53,010
+زائد alpha a b في R
+
+240
+00:29:00,910 --> 00:29:05,830
+طبعا هذه ايش هتكون ساوية صفر
+
+241
+00:29:05,830 --> 00:29:13,350
+يعني هتكون AB أمجد
+
+242
+00:29:13,350 --> 00:29:18,890
+AB تربيه يعني ميتين و تسعة point four في ال R
+
+243
+00:29:18,890 --> 00:29:21,530
+تلاتة
+
+244
+00:29:31,200 --> 00:29:37,540
+هذه كم تطلع؟ 628 هذي التربيه يعني
+
+245
+00:29:37,540 --> 00:29:40,700
+131
+
+246
+00:29:40,700 --> 00:29:50,540
+ألف 131 ألف ايه؟ وخمسة ايه كام؟ 131.514.3 اعطيني
+
+247
+00:29:50,540 --> 00:29:55,240
+رقم كام بدون .. عرق معادل بدون .. 131.043 ايه؟ صفر
+
+248
+00:29:55,240 --> 00:30:06,510
+أربعة تلات اللي هو انشكل second تربيع بيعمل
+
+249
+00:30:06,510 --> 00:30:12,250
+زاوية اربعين درجة طيب
+
+250
+00:30:12,250 --> 00:30:19,210
+انا حاجة ادرس ال link بيدي احنا حسبنا بيتا بارح
+
+251
+00:30:19,210 --> 00:30:28,850
+صح؟ اذا فاكرين بيتا اكم طلعناها؟ اكم؟ طيب
+
+252
+00:30:30,410 --> 00:30:44,570
+ال link بيدي هاي بيدي انها كده AB هاي AB نفس
+
+253
+00:30:44,570 --> 00:30:52,790
+ال AB دلوقت صح؟ و بتعمل مع القفق ايه؟ اربعين درجة
+
+254
+00:30:52,790 --> 00:30:54,470
+و هاي AD
+
+255
+00:31:06,680 --> 00:31:13,820
+هتساوي translation with بيه هي هتكون عندي هي a
+
+256
+00:31:13,820 --> 00:31:18,760
+,b a
+
+257
+00:31:18,760 --> 00:31:24,780
+,b هذه ال translation with بيه زاد
+
+258
+00:31:27,930 --> 00:31:33,570
+Rotation about B Rotation about B يعني هيكون هي
+
+259
+00:31:33,570 --> 00:31:45,410
+عندك هي هذي B هذي D هذي B هذي D هذي B هذي Rotation
+
+260
+00:31:45,410 --> 00:31:54,730
+about B يعني هيكون بي و دي هد هتكون A D B Normal
+
+261
+00:31:54,730 --> 00:31:56,810
+وعندي
+
+262
+00:32:00,200 --> 00:32:07,560
+هنحكي أفرض هذه التجاهة ADB tangential
+
+263
+00:32:07,560 --> 00:32:10,780
+يعني
+
+264
+00:32:10,780 --> 00:32:22,720
+هكون AD ك vector هذه التجاهة بالساوية AB هذه
+
+265
+00:32:22,720 --> 00:32:27,760
+التجاهة بالزاوية
+
+266
+00:32:27,760 --> 00:32:42,200
+أربعينزائد ا دي بالنسبة لبيه normal وهي اتجاهها
+
+267
+00:32:42,200 --> 00:32:55,920
+بزاوية تلتاش point تسعة زائد ا دي بالنسبة لبيه
+
+268
+00:32:55,920 --> 00:33:05,070
+tangentialو هتكون زاوية
+
+269
+00:33:05,070 --> 00:33:13,250
+13.9 يعني
+
+270
+00:33:13,250 --> 00:33:21,490
+عند ال AP حسبناها 131.043
+
+271
+00:33:21,490 --> 00:33:24,550
+تعمل زاوية
+
+272
+00:33:28,830 --> 00:33:36,470
+اربعين زي ا دي بي نورمار هتكون اوميجا بي دي اوميجا
+
+273
+00:33:36,470 --> 00:33:44,730
+بي دي هنطلعها برا هين عشان احكي ان ا دي بي
+
+274
+00:33:50,330 --> 00:33:58,030
+Normal بالسواء Omega BD تربيع في L Omega BD
+
+275
+00:33:58,030 --> 00:34:01,390
+حسبناها المرة الماضية أكم كانت قيمتها
+
+276
+00:34:08,020 --> 00:34:16,220
+DB tangential بيستوى Alpha BD في L يعني هتكون
+
+277
+00:34:16,220 --> 00:34:21,080
+تمانية Alpha BD
+
+278
+00:34:37,980 --> 00:34:46,860
+تربيع في تمانية تربيع في تمانية تربيع
+
+279
+00:34:46,860 --> 00:34:56,120
+في تمانية تربيع في تمانية تربيع
+
+280
+00:34:56,120 --> 00:34:58,780
+في تمانية تربيع في تمانية تربيع في تمانية تربيع في
+
+281
+00:34:58,780 --> 00:34:59,760
+تمانية تربيع في تمانية تربيع في تمانية تربيع في
+
+282
+00:34:59,760 --> 00:35:05,280
+تمانية تربيع في تمانية تربيع في تمانية تربيع
+
+283
+00:35:05,280 --> 00:35:12,960
+في تمانيةسبعمية و اتنين و خمسين inch per second
+
+284
+00:35:12,960 --> 00:35:16,820
+square زاوية
+
+285
+00:35:16,820 --> 00:35:22,000
+تلتاش point تسعة زاد AD بتنجان share اللي هي
+
+286
+00:35:22,000 --> 00:35:31,740
+تمانية الف BD والزاوية تلتاش
+
+287
+00:35:31,740 --> 00:35:38,100
+point تسعة هاي ال ADطبعا ممكن أبدأ في ال X
+
+288
+00:35:38,100 --> 00:35:40,040
+component بس لأ خليني أبدأ في ال Y component عشان
+
+289
+00:35:40,040 --> 00:35:48,000
+أسفر هذه ده احكي ال Y component هاي
+
+290
+00:35:48,000 --> 00:35:56,920
+الموجب هكون عندي هنا صفر مظلوط بتساوي
+
+291
+00:35:56,920 --> 00:36:01,300
+minus 131043
+
+292
+00:36:01,300 --> 00:36:03,600
+sin 40
+
+293
+00:36:06,410 --> 00:36:13,810
+زائد تلاتين الف سبعمية و اتنين و خمسين صين تلاتاش
+
+294
+00:36:13,810 --> 00:36:18,310
+بون تسعة زائد
+
+295
+00:36:18,310 --> 00:36:30,230
+تمانية الف ب دي كوسين تلاتاش بون تسعة و من هنا
+
+296
+00:36:30,230 --> 00:36:30,790
+بحسب
+
+297
+00:36:33,630 --> 00:36:43,310
+الـ Alpha BD يكون
+
+298
+00:36:43,310 --> 00:36:54,390
+هذا ناقص هذا على تمانية Cos بعدها
+
+299
+00:36:54,390 --> 00:37:00,970
+هاخد ال X component وهذا
+
+300
+00:37:00,970 --> 00:37:01,990
+الاتجاه الموجب
+
+301
+00:37:05,000 --> 00:37:10,160
+الاكس كموانت هيكون عند ايدي هيكون
+
+302
+00:37:10,160 --> 00:37:16,000
+الساوية ناقص مية و واح تلاتين الف و تلاتة و اربعين
+
+303
+00:37:16,000 --> 00:37:24,280
+cos الاربعين ناقص
+
+304
+00:37:24,280 --> 00:37:29,540
+تلاتين الف تلاتين
+
+305
+00:37:29,540 --> 00:37:31,500
+الف و سبعمية و اتنين و خمسين
+
+306
+00:37:34,190 --> 00:37:40,090
+cos 13.9 زائد
+
+307
+00:37:40,090 --> 00:37:52,870
+تمانية الفا بي دي ايش طلعت مستعيد
+
+308
+00:37:52,870 --> 00:37:59,510
+اطلع سالب هذه بتيجي على جهة تانية موجب يعني هذه
+
+309
+00:37:59,510 --> 00:38:00,270
+ناقص هذه
+
+310
+00:38:03,610 --> 00:38:12,370
+بالظبط هذا أكيد أكبر من هذا، مظبوط؟ لأنه الرقم هذا
+
+311
+00:38:12,370 --> 00:38:15,450
+أكبر من هذا، هي واحد و ال sign الأربعين أكتر من ال
+
+312
+00:38:15,450 --> 00:38:21,770
+sign التلتاشر دايما
+
+313
+00:38:21,770 --> 00:38:26,370
+طلع الأرقام، ما تحسبوش بس، ما تركنوش على القلة
+
+314
+00:38:26,370 --> 00:38:30,350
+الحاسبة، اركنوا على الأرقام، منطق ولا مش منطق
+
+315
+00:38:30,350 --> 00:38:30,930
+الرقم؟
+
+316
+00:38:36,240 --> 00:38:39,620
+انا مستقرب لصورتكوا فى الالحاسب المفروض تتدربوا
+
+317
+00:38:39,620 --> 00:38:43,660
+على الالحاسب بطيئين كتير عشر تلاف تمانية سبعة و
+
+318
+00:38:43,660 --> 00:38:50,120
+تلاتين عشر تلاف تمانية سبعة و تلاتين الهي radian
+
+319
+00:38:50,120 --> 00:38:55,580
+per second squared معناته هنا حاسبكم تمانية فى عشر
+
+320
+00:38:55,580 --> 00:39:01,700
+تلاف تمانية و سبعة و تلاتين فى
+
+321
+00:39:08,040 --> 00:39:14,000
+ال X component في ال sign تلتاش
+
+322
+00:39:14,000 --> 00:39:19,000
+point تسعة منها بتحس وياش ال alpha دي طبعا ال
+
+323
+00:39:19,000 --> 00:39:26,320
+alpha دي هتكون بعكس عقار بالساعة يعني
+
+324
+00:39:26,320 --> 00:39:31,520
+أكل
+
+325
+00:39:31,520 --> 00:39:32,060
+طلع الأيدي
+
+326
+00:39:46,360 --> 00:39:49,740
+طيب تحس في الايدي براحتك معاك ربع ساعة تاكل عافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/fVHp0_d1maw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/fVHp0_d1maw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..d42848a1b8d4f28e2491bc398dff1263caa10d07
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/fVHp0_d1maw.srt
@@ -0,0 +1,990 @@
+1
+00:00:05,280 --> 00:00:08,520
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله و
+
+2
+00:00:08,520 --> 00:00:13,560
+بركاته، هنكمل في مادة الدايناميكا، احنا حاليًا في
+
+3
+00:00:13,560 --> 00:00:19,260
+ال chapter ستاشر Kinematics of rigid bodies،
+
+4
+00:00:19,260 --> 00:00:24,130
+المحاضرة اللي فاتت حلينا، عملنا force analysis
+
+5
+00:00:24,130 --> 00:00:28,930
+لمجموعة من الأمثلة، اليوم هنكمل نحكي عن ال
+
+6
+00:00:28,930 --> 00:00:33,350
+constrained planar motion الحركة المستوية المقيدة
+
+7
+00:00:33,350 --> 00:00:40,810
+constrained planar motion هي بتكون حركة الـ .. الـ
+
+8
+00:00:40,810 --> 00:00:44,890
+mechanical parts أو الـ components بتتحرك يعني
+
+9
+00:00:44,890 --> 00:00:50,690
+بطريقة منضبطة، يعني مثلًا احنا الـ .. احنا شايفين
+
+10
+00:00:50,690 --> 00:00:56,210
+أنه رد فعل هنا a, b فيه ثابت عنده slide عند a و slide
+
+11
+00:00:56,210 --> 00:01:01,410
+عند b، نقطة a بتتحرك دائمًا باتجاه الأفقي ونقطة b
+
+12
+00:01:01,410 --> 00:01:06,430
+بتتحرك باتجاه الرأسي، فهو مقيد بأن هذه بتتحرك أفقيًا، و
+
+13
+00:01:06,430 --> 00:01:11,330
+هذه تتحرك رأسيًا، طبعًا هيكون في علاقة، يعني هذه
+
+14
+00:01:11,330 --> 00:01:15,610
+بتساعدنا في دراسة الحركة، إنه بيكون فيه علاقة بين الـ
+
+15
+00:01:15,610 --> 00:01:20,070
+velocity و الـ acceleration لـ a و الـ force و الـ
+
+16
+00:01:20,070 --> 00:01:22,430
+acceleration لـ b، بيكون فيه بينهم علاقة نتيجة
+
+17
+00:01:22,430 --> 00:01:27,190
+التقييد بالحركة، لو بدك تعمل الـ free body diagram
+
+18
+00:01:27,190 --> 00:01:32,130
+للجسم هذا، هيكون عنده رد فعل عن b وفيه الـ force
+
+19
+00:01:32,130 --> 00:01:36,550
+b، وفي عنده رد فعل عن b وفي الوزن، هدول كلهم
+
+20
+00:01:36,550 --> 00:01:42,310
+هيعملوا acceleration إلها two components لمركز
+
+21
+00:01:42,310 --> 00:01:47,110
+الثقل، هيكون في عندي إيش؟ I α في عند الـ rotation
+
+22
+00:01:47,110 --> 00:01:53,030
+يعني جزئيتين: جزئية انتقال وجزئية دوران، هنشوف مثال
+
+23
+00:01:53,030 --> 00:02:00,170
+على الحركة المقيدة، في عندي الـ rod طوله أربعة أقدام
+
+24
+00:02:14,410 --> 00:02:21,410
+طول الـ rod أربعة أقدام ووزنه
+
+25
+00:02:21,410 --> 00:02:32,910
+خمسين pound، can move
+
+26
+00:02:32,910 --> 00:02:36,470
+freely with no friction along two straight tracks
+
+27
+00:02:36,470 --> 00:02:40,110
+ممكن تتحرك .. وبتتحرك بدون احتكاك على المستوى
+
+28
+00:02:40,110 --> 00:02:46,600
+الأفقي عند A وعلى المستوى المائل عند B، and no
+
+29
+00:02:46,600 --> 00:02:56,480
+friction. The
+
+30
+00:02:56,480 --> 00:03:00,240
+rod is released with no velocity from the position
+
+31
+00:03:00,240 --> 00:03:04,360
+اللي احنا شايفينها، تم إطلاقه من السكون،
+
+32
+00:03:04,360 --> 00:03:08,160
+تم إطلاقه من السكون، الموضع اللي احنا شايفينها، احسب
+
+33
+00:03:08,160 --> 00:03:11,700
+angular acceleration of the rod، العجلة الزاوية للـ
+
+34
+00:03:11,700 --> 00:03:15,300
+rod، و reactions at A and B
+
+35
+00:03:27,900 --> 00:03:30,520
+عشان أحل المثال إذًا بدي أعمل الـ free body diagram
+
+36
+00:03:30,520 --> 00:03:38,240
+أولًا
+
+37
+00:03:38,240 --> 00:03:46,440
+عندي رد فعل NA، المعنى بتقول إن دي هي force NA
+
+38
+00:03:46,440 --> 00:03:52,620
+صح، normal force، فعندي عمودية على المستوى هذا
+
+39
+00:04:05,350 --> 00:04:13,730
+NB، في الوزن W
+
+40
+00:04:13,730 --> 00:04:21,970
+هذه هي الـ force بتأثر عليه نتيجة
+
+41
+00:04:21,970 --> 00:04:26,430
+هذه الـ forces، هيكون له
+
+42
+00:04:26,430 --> 00:04:26,950
+يكون له
+
+43
+00:04:29,960 --> 00:04:37,160
+I في α حوالي مركز الثقل، وفيه له acceleration، هيكون له
+
+44
+00:04:37,160 --> 00:04:47,620
+Ax، Ay
+
+45
+00:04:47,620 --> 00:04:56,040
+طيب
+
+46
+00:04:56,040 --> 00:04:57,380
+لو مديت أنا هدول
+
+47
+00:05:15,750 --> 00:05:17,430
+هتلتقي في نقطة C
+
+48
+00:05:49,090 --> 00:05:54,590
+هذه ج، هذه
+
+49
+00:05:54,590 --> 00:06:11,410
+ب، هذه أ
+
+50
+00:06:11,410 --> 00:06:16,130
+هذه
+
+51
+00:06:16,130 --> 00:06:16,970
+طبعًا ثلاثين
+
+52
+00:06:22,710 --> 00:06:32,450
+وهذه كلها خمس
+
+53
+00:06:32,450 --> 00:06:40,710
+وأربعين، ما نفسدش، إذًا ما هتكون خمس
+
+54
+00:06:40,710 --> 00:06:42,190
+وأربعين، نفسد ثلاثين، خمسة و عشرين
+
+55
+00:06:53,170 --> 00:06:58,050
+هذا عمودي على المستوى هذا، يعني هذه بتعمل زاوية
+
+56
+00:06:58,050 --> 00:07:06,730
+كام؟ 45، صح؟
+
+57
+00:07:06,730 --> 00:07:11,270
+يعني
+
+58
+00:07:11,270 --> 00:07:14,250
+هذه كلها تسعين درجة، هذه كلها إيش؟ تسعين، تسعين
+
+59
+00:07:14,250 --> 00:07:17,790
+ناقص خمسة عشر، هذه خمسة وسبعين، هتكون
+
+60
+00:07:24,870 --> 00:07:36,570
+وهذا هتكون تسعين ناقص ثلاثين، ستين، معناته
+
+61
+00:07:36,570 --> 00:07:38,850
+هذا الكل هتكون خمسة وأربعين
+
+62
+00:08:02,350 --> 00:08:02,790
+طيب
+
+63
+00:08:48,190 --> 00:08:51,570
+أنا طبعًا عندي دي هتكون summation لل forces في مستوى
+
+64
+00:08:51,570 --> 00:08:59,090
+صفر، معادلة، و summation لل moments إذا كانت حوالي
+
+65
+00:08:59,090 --> 00:09:04,270
+G، في مستوى I في α، إذا كانت حوالي نقطة ثانية
+
+66
+00:09:04,270 --> 00:09:16,310
+هتكون الـ effective، خلينا نعرف الـ X هاي، الـ X هاي
+
+67
+00:09:16,310 --> 00:09:22,200
+الـ Y، أنا بدي أحاول آخد summation moments حوالي نقطة
+
+68
+00:09:22,200 --> 00:09:32,500
+بدي
+
+69
+00:09:32,500 --> 00:09:38,460
+أعمل نقطة بحيث أضيع صفرين، بحيث عندي
+
+70
+00:09:38,460 --> 00:09:48,520
+يا A يا B يا C، C بتروح عن A و NB اللي حكيت
+
+71
+00:09:48,520 --> 00:09:52,220
+summation للمoments
+
+72
+00:09:52,220 --> 00:09:57,780
+حوالي الـ C، بيساوي
+
+73
+00:09:57,780 --> 00:10:04,040
+C effective، طبعًا
+
+74
+00:10:04,040 --> 00:10:10,980
+هتروح الـ NA و الـ NB، ويضل عندي W و الـ W بس أنا
+
+75
+00:10:10,980 --> 00:10:16,500
+حا أضطر أعرف مسافات في الأول، صح؟ أنا عندي الضلع هذا
+
+76
+00:10:16,500 --> 00:10:22,840
+معروف، والثلاثة والأربعة، أقدر أعرف BC و
+
+77
+00:10:22,840 --> 00:10:33,140
+AC، يعني لو استخدمت الـ sine law، المثلث عندي A B
+
+78
+00:10:33,140 --> 00:10:46,350
+C، هيكون BC على sine ستين بيساوي AB اللي هي
+
+79
+00:10:46,350 --> 00:10:56,730
+أربعة على sine الخمسة وأربعين بيساوي
+
+80
+00:10:56,730 --> 00:11:01,750
+AC على
+
+81
+00:11:01,750 --> 00:11:13,860
+sine الخمسة وسبعين، منها بحسب الـ BC، الـ BC اللي
+
+82
+00:11:13,860 --> 00:11:16,720
+بيساوي أربعة sine ستين على sine خمسة وأربعين، أربعة
+
+83
+00:11:16,720 --> 00:11:23,940
+point 894 point 89، كم الرقم
+
+84
+00:11:23,940 --> 00:11:29,180
+ثمانية لما
+
+85
+00:11:29,180 --> 00:11:32,220
+تقرب، إذا كانت ثمانية كيف .. يعني هو ده سفر السيرة
+
+86
+00:11:32,220 --> 00:11:36,800
+صح؟ آه، تعرف تقرب، صح، إيش اللي بعد الثمانية؟
+
+87
+00:11:40,430 --> 00:11:48,270
+معناته هي تسعة أقدام
+
+88
+00:11:48,270 --> 00:11:53,730
+و الـ AC بتساوي
+
+89
+00:11:53,730 --> 00:11:56,390
+اللي هي أربعة sine الخمسة وسبعين على sine
+
+90
+00:11:56,390 --> 00:12:03,030
+الخمسة وأربعين، خمسة
+
+91
+00:12:03,030 --> 00:12:03,270
+point
+
+92
+00:12:17,460 --> 00:12:24,400
+فدي الـ force اللي بتعملها، متحللة، اللي هي الوزن
+
+93
+00:12:24,400 --> 00:12:29,460
+يعني
+
+94
+00:12:29,460 --> 00:12:34,520
+المسافة هذه، هذه
+
+95
+00:12:34,520 --> 00:12:35,140
+المسافة
+
+96
+00:12:42,010 --> 00:12:49,050
+ممكن نعرفها، اثنين
+
+97
+00:12:49,050 --> 00:12:53,650
+cosine الستين، أو اثنين sine
+
+98
+00:12:53,650 --> 00:13:00,110
+الستين، صح؟ يعني
+
+99
+00:13:00,110 --> 00:13:06,070
+هيكون الـ W في
+
+100
+00:13:06,070 --> 00:13:10,030
+اثنين sine الستين
+
+101
+00:13:11,280 --> 00:13:15,700
+بتساوي I
+
+102
+00:13:15,700 --> 00:13:28,480
+α
+
+103
+00:13:43,730 --> 00:13:56,210
+بتساوي I في α زائد
+
+104
+00:13:56,210 --> 00:14:04,630
+M Ax في المسافة هذه
+
+105
+00:14:15,810 --> 00:14:20,470
+هذه كم مسافة؟ هذه
+
+106
+00:14:20,470 --> 00:14:28,170
+كلها اثنين cosine الكم؟ الستين بالضبط
+
+107
+00:14:28,170 --> 00:14:39,090
+يعني هذه هتكون AC اللي هي خمسة point أربعة
+
+108
+00:14:39,090 --> 00:14:45,310
+ستة أربعة، ناقص اثنين cosine الستين
+
+109
+00:14:47,840 --> 00:14:54,960
+هتكون معناته، في خمسة
+
+110
+00:14:54,960 --> 00:15:06,860
+point أربعة ستة أربعة، ناقص اثنين cosine ستين، نقص
+
+111
+00:15:06,860 --> 00:15:14,840
+واحد، يعني هتكون أربعة point أربعة ستة أربعة، وهذه
+
+112
+00:15:14,840 --> 00:15:16,100
+المسافة اللي حكيناها
+
+113
+00:15:21,380 --> 00:15:33,800
+اثنين sine الستين درجة، زائد
+
+114
+00:15:33,800 --> 00:15:39,720
+برضه، موجبة بتعمل زائد M Ay
+
+115
+00:15:39,720 --> 00:15:47,840
+في اثنين sine الستين
+
+116
+00:15:51,480 --> 00:16:00,820
+طب الـ I حوالي المركز، تقول إيش بتساوي؟ بتطلع
+
+117
+00:16:00,820 --> 00:16:06,780
+من الكتاب، كتاب
+
+118
+00:16:06,780 --> 00:16:17,820
+الدايناميكا، يعني
+
+119
+00:16:17,820 --> 00:16:18,700
+في الأول بيكون
+
+120
+00:16:24,720 --> 00:16:34,440
+أو في الآخر، كام
+
+121
+00:16:34,440 --> 00:16:35,720
+نحكي؟ ألف؟
+
+122
+00:17:07,100 --> 00:17:08,500
+معناته شكله في الأول
+
+123
+00:17:41,130 --> 00:17:50,270
+طيب دوروا عليها، عليها الـ I للـ rod بتساوي
+
+124
+00:17:50,270 --> 00:18:03,490
+الـ
+
+125
+00:18:03,490 --> 00:18:08,350
+I بتساوي
+
+126
+00:18:08,350 --> 00:18:17,950
+واحد على اثني عشر ام ال تربيع، يعني
+
+127
+00:18:17,950 --> 00:18:22,990
+هتكون واحد
+
+128
+00:18:22,990 --> 00:18:31,170
+على اثني عشر، الـ m عندي اللي هو خمسين على اثنين وثلاثين
+
+129
+00:18:31,170 --> 00:18:40,250
+.و اثنين من عشرة في أربعة تربيع، احنا
+
+130
+00:18:40,250 --> 00:18:41,110
+pound force
+
+131
+00:18:44,280 --> 00:18:54,940
+على foot على second square، في إيش؟ foot تربيع، يعني
+
+132
+00:18:54,940 --> 00:19:03,660
+هتطلع كل واحدة هنا، pound force foot second square
+
+133
+00:19:16,500 --> 00:19:22,960
+ثلاثة أرقام، ثلاثة أرقام
+
+134
+00:19:22,960 --> 00:19:29,420
+ثلاثة أرقام، ثلاثة أرقام، ثلاثة أرقام، ثلاثة أرقام، ثلاثة
+
+135
+00:19:29,420 --> 00:19:30,120
+أرقام، ثلاثة أرقام، ثلاثة أرقام، ثلاثة أرقام، ثلاثة أرقام
+
+136
+00:19:30,120 --> 00:19:30,860
+ثلاثة أرقام، ثلاثة أرقام، ثلاثة أرقام، ثلاثة أرقام، ثلاثة
+
+137
+00:19:30,860 --> 00:19:30,880
+أرقام، ثلاثة أرقام، ثلاثة أرقام، ثلاثة أرقام، ثلاثة أرقام
+
+138
+00:19:30,880 --> 00:19:35,360
+ثلاثة أرقام، ثلاثة
+
+139
+00:19:35,360 --> 00:19:45,110
+أرقام، ثلاثة أرقام، صفر سبعة صفر في الألف اللي أنا مش
+
+140
+00:19:45,110 --> 00:19:52,150
+عارفها، زائد اللي هو خمسين على اثنين وثلاثين point
+
+141
+00:19:52,150 --> 00:20:06,110
+اثنين Ax في أربعة point أربعة ستة أربعة، زائد خمسين على
+
+142
+00:20:06,110 --> 00:20:13,950
+اثنين وثلاثين point اثنين Ay في اثنين sine الستين
+
+143
+00:20:13,950 --> 00:20:20,050
+خلينا نحصل الأرقام هذه، صح؟
+
+144
+00:20:20,050 --> 00:20:23,910
+آه
+
+145
+00:20:23,910 --> 00:20:29,810
+احنا طلعناها وخلصناها، طيب
+
+146
+00:20:31,970 --> 00:20:37,250
+خمسين في .. خمسين في اثنين، مئة، يعني هتطلع عادي
+
+147
+00:20:37,250 --> 00:20:41,230
+ثمانية مئة أو point .. ستة وسبعين point ستة ستة
+
+148
+00:20:41,230 --> 00:20:46,550
+ثمانية وسبعين وستة
+
+149
+00:20:46,550 --> 00:20:56,770
+سبعة، بتساوي اثنين ألف
+
+150
+00:20:56,770 --> 00:20:58,750
+زائد
+
+151
+00:21:03,600 --> 00:21:18,060
+واحد point خمسة خمسة، واحد point خمسة خمسة، واحد
+
+152
+00:21:18,060 --> 00:21:29,440
+point ستة، point خمسة خمسة، واحد point ستة
+
+153
+00:21:29,440 --> 00:21:29,720
+point
+
+154
+00:21:37,090 --> 00:21:45,090
+Ax زائد اثنين
+
+155
+00:21:45,090 --> 00:21:50,770
+point ستة
+
+156
+00:21:50,770 --> 00:21:56,630
+ثمانية تسعة، آه، معادلة واحدة، طيب
+
+157
+00:22:06,240 --> 00:22:13,300
+الآن، في عندي α، Ax، وAy، ثلاثة مجاهيل عندي، ثلاثة
+
+158
+00:22:13,300 --> 00:22:17,460
+مجاهيل، معناته .. هذه الحركة إيش نوعها؟ حركة مقيدة
+
+159
+00:22:17,460 --> 00:22:21,920
+معناته ممكن أوجد relations، لاحظ في علاقة بين A و
+
+160
+00:22:21,920 --> 00:22:30,040
+B، يعني A B إيش هتكون؟ A B، اتجاه اللي تحت هيكون،
+
+161
+00:22:30,040 --> 00:22:34,860
+صح؟ بتعمل زاوية 45 درجة
+
+162
+00:22:39,240 --> 00:22:44,420
+بتساوي AA لليمين
+
+163
+00:22:44,420 --> 00:22:50,880
+زائد ABA
+
+164
+00:22:50,880 --> 00:22:59,140
+ABA، لها two components، واحدة normal هتكون
+
+165
+00:22:59,140 --> 00:23:01,420
+في اتجاه الـ من B لـ A
+
+166
+00:23:06,450 --> 00:23:14,990
+ثلاثين درجة، زائد ABA tangential
+
+167
+00:23:14,990 --> 00:23:20,750
+هتكون
+
+168
+00:23:20,750 --> 00:23:24,090
+هذه
+
+169
+00:23:24,090 --> 00:23:29,230
+اتجاهها، هذه عمودي
+
+170
+00:23:29,230 --> 00:23:29,730
+على BA
+
+171
+00:23:33,720 --> 00:23:39,840
+هذه ABA tangential مع
+
+172
+00:23:39,840 --> 00:23:47,260
+الأفقي بيعمل ثلاثين، هذه زاوية المستوى خمسة وأربعين
+
+173
+00:23:47,260 --> 00:23:56,180
+نعم، ABA، النقطة B إذا عملت زاوية ABA ثلاثين، يعني
+
+174
+00:23:56,180 --> 00:24:02,300
+اتجاه الـ acceleration عند B بيعمل خمسة وأربعين
+
+175
+00:24:02,300 --> 00:24:09,030
+درجة، اتجاه المستوى A باتجاهها هتكون عمودية على
+
+176
+00:24:09,030 --> 00:24:21,890
+الخط BA، معناته بتكون تعمل مع الرأسي ثلاثين
+
+177
+00:24:21,890 --> 00:24:27,830
+طيب
+
+178
+00:24:27,830 --> 00:24:32,710
+هو released from rest، يعني في اللحظة هذه ما كانلهوش
+
+179
+00:24:32,710 --> 00:24:38,060
+سرعة، يعني الـ normal هتكون إيش؟ الساوية؟ صفر، يعني ABA
+
+180
+00:24:38,060 --> 00:24:47,200
+normal، الحالة العادية، ABA normal = ω2 في
+
+181
+00:24:47,200 --> 00:24:54,600
+BA اللي هي صفر، في BA بتساوي الصفر، يعني هذا
+
+182
+00:24:54,600 --> 00:24:58,120
+هتكون بتساوي
+
+183
+00:24:58,120 --> 00:25:02,840
+الصفر، طيب الـ ABA tangential
+
+184
+00:25:08,510 --> 00:25:22,590
+بتساوي α في BA، صح؟ هتكون أربعة في α، يعني
+
+185
+00:25:22,590 --> 00:25:31,570
+هذه هتصبح اللي هو AA زائد
+
+186
+00:25:31,570 --> 00:25:35,830
+أربعة α
+
+187
+00:25:43,470 --> 00:25:50,890
+ثلاثين درجة، يعني
+
+188
+00:25:50,890 --> 00:25:58,450
+لو عملت مثلث متجهات، هاي
+
+189
+00:25:58,450 --> 00:26:03,270
+AA و
+
+190
+00:2
+
+223
+00:30:49,910 --> 00:30:54,110
+احنا عملنا .. عملنا في الأول مركبتين واحدة ax
+
+224
+00:30:54,110 --> 00:31:02,850
+واحدة ay معناته ال ax هتكون
+
+225
+00:31:02,850 --> 00:31:15,020
+خمسة point أربعة ستة أربعة ألف ناقص اتنين ألف ال sign
+
+226
+00:31:15,020 --> 00:31:22,780
+التلاتين يعني هتكون أربعة point أربعة ستة أربعة
+
+227
+00:31:22,780 --> 00:31:32,920
+ألف هذه ال ax ال ay بتساوي
+
+228
+00:31:32,920 --> 00:31:36,260
+اتنين
+
+229
+00:31:36,260 --> 00:31:36,600
+ألف
+
+230
+00:31:41,450 --> 00:31:48,010
+التلاتين لتحت، صح يعني
+
+231
+00:31:48,010 --> 00:31:59,270
+هتكون واحد سبعة تلاتة اتنين مظبوط، ألف لتحت لأن أنا
+
+232
+00:31:59,270 --> 00:32:01,390
+already فرضتها لتحت، ال AY
+
+233
+00:32:06,600 --> 00:32:10,840
+لأن هعوض عن ax و ay في المعادلة دي، في المعادلة
+
+234
+00:32:10,840 --> 00:32:22,700
+واحدة، هذه معادلة، اتنين هذه معادلة، تلاتة، أعوض اتنين
+
+235
+00:32:22,700 --> 00:32:26,120
+تلاتة في واحد، بالكسير، اند اكس ستة وتمانين بون ستة
+
+236
+00:32:29,630 --> 00:32:40,390
+بالساوية، اتنين point صفر سبعة ألف زائد ستة point
+
+237
+00:32:40,390 --> 00:32:50,310
+تسعة تلاتة واحد، ال AX اللي هي في أربعة point أربعة
+
+238
+00:32:50,310 --> 00:32:52,610
+ستة أربعة ألف
+
+239
+00:32:55,340 --> 00:33:03,080
+زائد اتنين point ستة تمانية تسعة في ال AY اللي هي
+
+240
+00:33:03,080 --> 00:33:15,340
+واحد point سبعة تلاتة اتنين، ومنها بحسب ال
+
+241
+00:33:15,340 --> 00:33:22,080
+Alpha منها
+
+242
+00:33:22,080 --> 00:33:23,060
+بحسب ال Alpha
+
+243
+00:33:40,140 --> 00:33:46,760
+اتنين point اتنين تسعة تسعة صفر راديان
+
+244
+00:33:46,760 --> 00:33:54,640
+كل second square، هذا المطلوب الأول، المطلوب الثاني
+
+245
+00:33:54,640 --> 00:33:59,000
+أن نحسب ال reactions عند
+
+246
+00:33:59,000 --> 00:34:03,140
+A و B، يعني بنحسب NA و NB
+
+247
+00:34:10,060 --> 00:34:14,100
+يعني إذا أخدت summation لل forces باتجاه ال X
+
+248
+00:34:14,100 --> 00:34:21,780
+بتروح، لأن A صح؟ summation لل forces باتجاه ال X
+
+249
+00:34:21,780 --> 00:34:25,720
+بالسوء
+
+250
+00:34:25,720 --> 00:34:32,640
+M Ax يعني هيكون ND Cos 45
+
+251
+00:34:40,920 --> 00:34:50,720
+بالساوية اللي هي W على G في AX، ال AX نحسبها هنا دي
+
+252
+00:34:50,720 --> 00:34:54,660
+ال AX بالساوية
+
+253
+00:34:54,660 --> 00:34:56,900
+اللي هي أربعة point أربعة ستة أربعة في ألف أربعة
+
+254
+00:34:56,900 --> 00:35:00,300
+عشرة
+
+255
+00:35:00,300 --> 00:35:00,600
+point
+
+256
+00:35:07,450 --> 00:35:17,970
+اللي هي قدم على second تربيع، وال ay اللي
+
+257
+00:35:17,970 --> 00:35:26,510
+واحد point سبعة تلاتة اتنين في ألف تلاتة
+
+258
+00:35:26,510 --> 00:35:31,050
+point قدم
+
+259
+00:35:31,050 --> 00:35:38,780
+لكل second تربيع، الآن ax اللي هي احنا حكينا في عشرة
+
+260
+00:35:38,780 --> 00:35:52,580
+point اتنين ستة اتنين، ومنها بحسب ال nb بتساوي
+
+261
+00:35:52,580 --> 00:36:02,970
+خمسين في عشرة point اتنين ستة اتنين على اتنين و
+
+262
+00:36:02,970 --> 00:36:10,530
+تلاتين، و اتنين من عشرة على كوساين الخمسة و أربعين
+
+263
+00:36:10,530 --> 00:36:18,570
+اتنين و عشرين point found
+
+264
+00:36:25,680 --> 00:36:29,980
+عشان أحسب ال NA باخد summation لل forces باتجاه
+
+265
+00:36:29,980 --> 00:36:38,400
+ال Y بالثقام
+
+266
+00:36:38,400 --> 00:36:49,960
+AY، باتجاه ال Y عند NA minus
+
+267
+00:36:49,960 --> 00:36:54,640
+W زائد NB
+
+268
+00:36:57,770 --> 00:37:04,290
+Sin الخمسة و أربعين، AY
+
+269
+00:37:04,290 --> 00:37:09,110
+لتحت، جاي هتكون سالب ومحكت
+
+270
+00:37:09,110 --> 00:37:22,230
+كتير، أنا هيك موجة سالب اللي هي W على G في AY يعني
+
+271
+00:37:22,230 --> 00:37:22,670
+ال NA
+
+272
+00:37:26,580 --> 00:37:36,040
+هتكون تساوي W اللي هي خمسين زائد
+
+273
+00:37:36,040 --> 00:37:44,320
+minus ال NB اللي هي اتنين و عشرين point أربعة
+
+274
+00:37:44,320 --> 00:37:48,080
+و خمسين، sin الخمسة و أربعين
+
+275
+00:37:52,350 --> 00:37:57,850
+مينص خمسين في ال AY اللي هي تلاتة point تسعة تمانية
+
+276
+00:37:57,850 --> 00:38:01,990
+واحد على
+
+277
+00:38:01,990 --> 00:38:06,910
+اتنين و تلاتين و اتنين من عشرة
+
+278
+00:38:23,710 --> 00:38:34,110
+سبعة و عشرين، بقعد
+
+279
+00:38:34,110 --> 00:38:39,150
+في
+
+280
+00:38:39,150 --> 00:38:44,450
+أي سؤال؟ طيب، هيك و نكون خلصنا، نعطيكم العافية
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/fVHp0_d1maw_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/fVHp0_d1maw_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..8dcfc16c6eba7512abd398648c80731ad09cf0be
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/fVHp0_d1maw_postprocess.srt
@@ -0,0 +1,1120 @@
+1
+00:00:05,280 --> 00:00:08,520
+بسم الله الرحمن الرحيم السلام عليكم و رحمة الله و
+
+2
+00:00:08,520 --> 00:00:13,560
+بركاته، هنكمل في مادة ال dynamica، احنا حاليا في
+
+3
+00:00:13,560 --> 00:00:19,260
+ال chapter ستاشر leukeinatics of rigid bodies،
+
+4
+00:00:19,260 --> 00:00:24,130
+المحاضرة اللي فاتت حليناعملنا force analysis
+
+5
+00:00:24,130 --> 00:00:28,930
+لمجموعة من المثائل اليوم هنكمل نحكي عن ال
+
+6
+00:00:28,930 --> 00:00:33,350
+constraint plan motion الحركة المستوية المقيدة
+
+7
+00:00:33,350 --> 00:00:40,810
+constraint plan motion هي بتكون حركة ال .. ال
+
+8
+00:00:40,810 --> 00:00:44,890
+mechanical parts أو ال component بتحرك يعني
+
+9
+00:00:44,890 --> 00:00:50,690
+بالطريقة المنضبطة يعني مثلا احنا ال ..احنا شايفين
+
+10
+00:00:50,690 --> 00:00:56,210
+أنه رد هنا a,b فى ثابت عنده slide عند a و slide
+
+11
+00:00:56,210 --> 00:01:01,410
+عند b نقطة a بتتحرك دايما باتجاه الأفقى و نقطة b
+
+12
+00:01:01,410 --> 00:01:06,430
+بتتحرك باتجاه الرأس فهو مقيد أنه هذه بتتحرك أفقى و
+
+13
+00:01:06,430 --> 00:01:11,330
+هذه تتحرك رأسى طبعا حكون فى علاقة يعني هذه
+
+14
+00:01:11,330 --> 00:01:15,610
+بتساعدنا فى دراسة الحركةإنه بيكون فيه علاقة بين ال
+
+15
+00:01:15,610 --> 00:01:20,070
+velocity و ال acceleration ل a و ال force و ال
+
+16
+00:01:20,070 --> 00:01:22,430
+acceleration ل b بيكون فيه بينهم علاقة نتيجة
+
+17
+00:01:22,430 --> 00:01:27,190
+التقييد بالحركة لو بدك تعمل ال free body diagram
+
+18
+00:01:27,190 --> 00:01:32,130
+للجسم هذا هكون عندهين رد الفعل عن b و فيه ال force
+
+19
+00:01:32,130 --> 00:01:36,550
+b و في عنده رد الفعل عن b و في الوزن هدول كلهم
+
+20
+00:01:36,550 --> 00:01:42,310
+هيعملوهacceleration إلها two components لمركز
+
+21
+00:01:42,310 --> 00:01:47,110
+الثقل هكون في عندي ايش I alpha في عند ال rotation
+
+22
+00:01:47,110 --> 00:01:53,030
+يعني جزيتي هي جزيتي انتقال وجزيتي دوران هنشوف مثال
+
+23
+00:01:53,030 --> 00:02:00,170
+على الحركة المقيدة في عندي ال rod طوله أربعة قدم
+
+24
+00:02:14,410 --> 00:02:21,410
+طول الرد أربع قدم ووزنه
+
+25
+00:02:21,410 --> 00:02:32,910
+خمسين pound can move
+
+26
+00:02:32,910 --> 00:02:36,470
+freely with no friction along two straight tracks
+
+27
+00:02:36,470 --> 00:02:40,110
+ممكن تتحرك .. و بتتحرك بدون احتكاك على المستوى
+
+28
+00:02:40,110 --> 00:02:46,600
+الأفقي عند A وعلى المستوى المايل عند Band no
+
+29
+00:02:46,600 --> 00:02:56,480
+friction the
+
+30
+00:02:56,480 --> 00:03:00,240
+rod is released with no velocity from the position
+
+31
+00:03:00,240 --> 00:03:04,360
+شون ماضية اللي احنا شايفينها تم اطلاقه من السكون
+
+32
+00:03:04,360 --> 00:03:08,160
+تم اطلاقه من السكون ماضية اللي احنا شايفينها احصل
+
+33
+00:03:08,160 --> 00:03:11,700
+angular acceleration of the rod العجل الزاوية لل
+
+34
+00:03:11,700 --> 00:03:15,300
+rod و reactions at a and b
+
+35
+00:03:27,900 --> 00:03:30,520
+عشان احل المثال اذاك بدي اعمل ال free body diagram
+
+36
+00:03:30,520 --> 00:03:38,240
+فاش
+
+37
+00:03:38,240 --> 00:03:46,440
+عندى friction المعنى بتقول ان دي هي force NA
+
+38
+00:03:46,440 --> 00:03:52,620
+صح normal force فعندى عمودية على المستوى هذا
+
+39
+00:04:05,350 --> 00:04:13,730
+NB في الوزن W
+
+40
+00:04:13,730 --> 00:04:21,970
+هذه هي ال force بتأثر عليه نتيجة
+
+41
+00:04:21,970 --> 00:04:26,430
+هذه ال forces حس
+
+42
+00:04:26,430 --> 00:04:26,950
+يكون له
+
+43
+00:04:29,960 --> 00:04:37,160
+I فى Alpha حوالى مركز الثقل وفى له اكتراشن هكون له
+
+44
+00:04:37,160 --> 00:04:47,620
+AX MAY
+
+45
+00:04:47,620 --> 00:04:56,040
+طيب
+
+46
+00:04:56,040 --> 00:04:57,380
+لو مديت أنا هدول
+
+47
+00:05:15,750 --> 00:05:17,430
+هألتقي في نقطة C
+
+48
+00:05:49,090 --> 00:05:54,590
+هذه جي هذه
+
+49
+00:05:54,590 --> 00:06:11,410
+بي هذه ايه
+
+50
+00:06:11,410 --> 00:06:16,130
+هذه
+
+51
+00:06:16,130 --> 00:06:16,970
+طبعا تلاتين
+
+52
+00:06:22,710 --> 00:06:32,450
+و هذه كلها خمس
+
+53
+00:06:32,450 --> 00:06:40,710
+و اربعين ما نفسد ازااك ما هتكون خمس
+
+54
+00:06:40,710 --> 00:06:42,190
+و اربعين نفسد تلاتين خمس و أستعاشر
+
+55
+00:06:53,170 --> 00:06:58,050
+هذا عمودي على المستوى هذا يعني هذي بتعمل زاوية
+
+56
+00:06:58,050 --> 00:07:06,730
+كام؟ 45 صح؟
+
+57
+00:07:06,730 --> 00:07:11,270
+يعني
+
+58
+00:07:11,270 --> 00:07:14,250
+هذي كلها تسعين درجة، هذي كلها إيش؟ تسعين، تسعين
+
+59
+00:07:14,250 --> 00:07:17,790
+نقص خمستاشر، هذي خمسة سبعين هتكون
+
+60
+00:07:24,870 --> 00:07:36,570
+و هذا هتكون تسعين ناقص تلتين ستين معناته
+
+61
+00:07:36,570 --> 00:07:38,850
+هذا أكمل هتكون خمس و أربعين
+
+62
+00:08:02,350 --> 00:08:02,790
+طيب
+
+63
+00:08:48,190 --> 00:08:51,570
+انا طبعا ان دي هكون summation لل forces بستوى
+
+64
+00:08:51,570 --> 00:08:59,090
+صفراء معادلة و summation لل moments اذا كانت حوالي
+
+65
+00:08:59,090 --> 00:09:04,270
+g بستوى I في Alpha اذا كانت حوالي النقطة تانية
+
+66
+00:09:04,270 --> 00:09:16,310
+هتكون ال effective خلنا نعرف ال X هاي ال X هاي
+
+67
+00:09:16,310 --> 00:09:22,200
+ال Yانا بدى احاول اخد summation moment حوالين نقطة
+
+68
+00:09:22,200 --> 00:09:32,500
+بدى
+
+69
+00:09:32,500 --> 00:09:38,460
+اعمل نقطة بحيث اضبع صفرين بحجر عندى
+
+70
+00:09:38,460 --> 00:09:48,520
+يا A يا B يا C C بتروح عن Aو NB اللي حكيت
+
+71
+00:09:48,520 --> 00:09:52,220
+summation للممد
+
+72
+00:09:52,220 --> 00:09:57,780
+حوالين ال C بيساوم
+
+73
+00:09:57,780 --> 00:10:04,040
+C effective طبعا
+
+74
+00:10:04,040 --> 00:10:10,980
+هتروح ال NA و ال NB و يضل عندي H و ال W بس انا
+
+75
+00:10:10,980 --> 00:10:16,500
+حلزبني اعرف مسافات في الأول صح؟انا عندى الضلع هذا
+
+76
+00:10:16,500 --> 00:10:22,840
+معروف و التلات و الأوربا اللات ممكن اعرف بي سي و
+
+77
+00:10:22,840 --> 00:10:33,140
+اي سي يعني لو استخدمت ال sign law المثلث عندى a b
+
+78
+00:10:33,140 --> 00:10:46,350
+c هيكون بي سيعلى ال sign ستين بيساوي AB اللي هي
+
+79
+00:10:46,350 --> 00:10:56,730
+أربع على ال sign الخمس و أربعين بيساوي
+
+80
+00:10:56,730 --> 00:11:01,750
+AC على
+
+81
+00:11:01,750 --> 00:11:13,860
+ال sign الخمس و سبعينو منها بحسب ال BC ال BC اللي
+
+82
+00:11:13,860 --> 00:11:16,720
+بيساوي أربعة صين ستية عن صين خمس و أربعين أربعة
+
+83
+00:11:16,720 --> 00:11:23,940
+point تمانية تسعة أربعة point تمانية تسعة كم الرقم
+
+84
+00:11:23,940 --> 00:11:29,180
+تمانية لما
+
+85
+00:11:29,180 --> 00:11:32,220
+تقرب إذا كانت تمانية كيف .. يعني هو ده سفر السيرة
+
+86
+00:11:32,220 --> 00:11:36,800
+صح؟ أه تعرف تقرب صح إيش اللي بعد التمانية؟
+
+87
+00:11:40,430 --> 00:11:48,270
+معناته هي التسعة قدم
+
+88
+00:11:48,270 --> 00:11:53,730
+و ال AC بتسوى
+
+89
+00:11:53,730 --> 00:11:56,390
+اللي هى أربع أربع صين الخمسة و سبعين على صين
+
+90
+00:11:56,390 --> 00:12:03,030
+الخمسة و أربعين خمسة
+
+91
+00:12:03,030 --> 00:12:03,270
+point
+
+92
+00:12:17,460 --> 00:12:24,400
+فده ال force اللى بتعمله متحوله نصرى اللى هى الوزن
+
+93
+00:12:24,400 --> 00:12:29,460
+يعنى
+
+94
+00:12:29,460 --> 00:12:34,520
+المسافة هذه هذه
+
+95
+00:12:34,520 --> 00:12:35,140
+المسافة
+
+96
+00:12:42,010 --> 00:12:49,050
+ممكن نعرفها اتنين
+
+97
+00:12:49,050 --> 00:12:53,650
+cosine الستين او cosine اتنين فهذه اتنين sin
+
+98
+00:12:53,650 --> 00:13:00,110
+الستين صح؟ يعني
+
+99
+00:13:00,110 --> 00:13:06,070
+هكون ال W في
+
+100
+00:13:06,070 --> 00:13:10,030
+اتنين sin الستين
+
+101
+00:13:11,280 --> 00:13:15,700
+بتساوي I
+
+102
+00:13:15,700 --> 00:13:28,480
+see
+
+103
+00:13:43,730 --> 00:13:56,210
+بتساوي I في Alpha زائد
+
+104
+00:13:56,210 --> 00:14:04,630
+M Ax في المسافة هذه
+
+105
+00:14:15,810 --> 00:14:20,470
+هذه أكم مسافة هذه
+
+106
+00:14:20,470 --> 00:14:28,170
+كلها اتنين كوصين اكم الستين بالظبط
+
+107
+00:14:28,170 --> 00:14:39,090
+يعني هذا هتكون AC اللي هي خمسة point اربع
+
+108
+00:14:39,090 --> 00:14:45,310
+ست اربع minus اتنين كوصين الستين
+
+109
+00:14:47,840 --> 00:14:54,960
+هتكون معناته في خمسة
+
+110
+00:14:54,960 --> 00:15:06,860
+point اربع ستة اربع minus اتنين cosine ستين نقص
+
+111
+00:15:06,860 --> 00:15:14,840
+واحد يعني هتكون اربع point اربع ستة اربع وهذه
+
+112
+00:15:14,840 --> 00:15:16,100
+المسافة اللي حكيناها
+
+113
+00:15:21,380 --> 00:15:33,800
+تنين ساين الستين درجة زائد
+
+114
+00:15:33,800 --> 00:15:39,720
+برضه موجة بتعمل زائد M Ay
+
+115
+00:15:39,720 --> 00:15:47,840
+في اتنين ساين الستين
+
+116
+00:15:51,480 --> 00:16:00,820
+طب الرد ال I حوالي المركز تقلو ايش بتساوي؟ بتطلع
+
+117
+00:16:00,820 --> 00:16:06,780
+من الكتاب كتاب
+
+118
+00:16:06,780 --> 00:16:17,820
+ال dynamica يعني
+
+119
+00:16:17,820 --> 00:16:18,700
+في الأول بيكون
+
+120
+00:16:24,720 --> 00:16:34,440
+أو في الآخر كام
+
+121
+00:16:34,440 --> 00:16:35,720
+نحكي؟ ألف؟
+
+122
+00:17:07,100 --> 00:17:08,500
+معناته شكله في الأول
+
+123
+00:17:41,130 --> 00:17:50,270
+طيب دوروا عليها عليها ال I للرد بالساوية
+
+124
+00:17:50,270 --> 00:18:03,490
+ال
+
+125
+00:18:03,490 --> 00:18:08,350
+I بالساوية
+
+126
+00:18:08,350 --> 00:18:17,950
+واحد على اتناشم التربيع يعني
+
+127
+00:18:17,950 --> 00:18:22,990
+هتكون واحد
+
+128
+00:18:22,990 --> 00:18:31,170
+على اتناش الام عندي اللي هو خمسين على اتنين و
+
+129
+00:18:31,170 --> 00:18:40,250
+تلاتين و اتنين من عشرة في اربعة تربيع احنا
+
+130
+00:18:40,250 --> 00:18:41,110
+bound force
+
+131
+00:18:44,280 --> 00:18:54,940
+على foot على second square في ايش؟ foot تربيع يعني
+
+132
+00:18:54,940 --> 00:19:03,660
+هتطلع كل واحدة هنا ground force foot second square
+
+133
+00:19:16,500 --> 00:19:22,960
+تلات أرقام تلات أرقام
+
+134
+00:19:22,960 --> 00:19:29,420
+تلات أرقام تلات أرقام تلات أرقام تلات أرقام تلات
+
+135
+00:19:29,420 --> 00:19:30,120
+أرقام تلات أرقام تلات أرقام تلات أرقام تلات أرقام
+
+136
+00:19:30,120 --> 00:19:30,860
+تلات أرقام تلات أرقام تلات أرقام تلات أرقام تلات
+
+137
+00:19:30,860 --> 00:19:30,880
+أرقام تلات أرقام تلات أرقام تلات أرقام تلات أرقام
+
+138
+00:19:30,880 --> 00:19:35,360
+تلات أرقام تلات
+
+139
+00:19:35,360 --> 00:19:45,110
+أرقام تلات أرقامصفر سبع صفر في الف اللي أنا مش
+
+140
+00:19:45,110 --> 00:19:52,150
+عارفها زائد اللي هو خمسين على اتنين و تلاتين point
+
+141
+00:19:52,150 --> 00:20:06,110
+اتنين ax في اربع point اربع ستة اربعزائد خمسين على
+
+142
+00:20:06,110 --> 00:20:13,950
+اتنين و تلاتين point اتنين ay في اتنين sin الستين
+
+143
+00:20:13,950 --> 00:20:20,050
+خلينا نحصل الأرقام هذه صح
+
+144
+00:20:20,050 --> 00:20:23,910
+اه
+
+145
+00:20:23,910 --> 00:20:29,810
+احنا طلعناها و خلصناها طيب
+
+146
+00:20:31,970 --> 00:20:37,250
+خمسين فى .. خمسين فى اتنين مية يعنى هتطلع عادي
+
+147
+00:20:37,250 --> 00:20:41,230
+تمانمية او point .. ستة سبعين point ستة ستة
+
+148
+00:20:41,230 --> 00:20:46,550
+تمانميين ستة
+
+149
+00:20:46,550 --> 00:20:56,770
+ستة بالساوية اتنين الف
+
+150
+00:20:56,770 --> 00:20:58,750
+زائد
+
+151
+00:21:03,600 --> 00:21:18,060
+واحد point خمسة خمسة واحد point خمسة خمسة واحد
+
+152
+00:21:18,060 --> 00:21:29,440
+point ستة point خمسة خمسة واحد point ستة
+
+153
+00:21:29,440 --> 00:21:29,720
+point
+
+154
+00:21:37,090 --> 00:21:45,090
+اكس زائد نين
+
+155
+00:21:45,090 --> 00:21:50,770
+بونت ست
+
+156
+00:21:50,770 --> 00:21:56,630
+تمانية تسعة ايه معادلة واحدة طيب
+
+157
+00:22:06,240 --> 00:22:13,300
+الان في عندي Alpha A X و Y تلت مجهيل عندي تلت
+
+158
+00:22:13,300 --> 00:22:17,460
+مجهيل معناته .. هذه الحركة ايش نوعها؟ حركة مقيدة
+
+159
+00:22:17,460 --> 00:22:21,920
+معناته ممكن اوجد relations، لاحظ في علاقة بين A و
+
+160
+00:22:21,920 --> 00:22:30,040
+B يعني A B ايش هتكون؟ A B اتجاه اللي تحت هيكون،
+
+161
+00:22:30,040 --> 00:22:34,860
+صح؟ بتعمل زوا 45 درجة
+
+162
+00:22:39,240 --> 00:22:44,420
+بتساوى AA لليمين
+
+163
+00:22:44,420 --> 00:22:50,880
+زائد ABA
+
+164
+00:22:50,880 --> 00:22:59,140
+ABA في إيه لها two components واحدة normal هتكون
+
+165
+00:22:59,140 --> 00:23:01,420
+في اتجاه ال من B ل A
+
+166
+00:23:06,450 --> 00:23:14,990
+تلاتين درجة زائد ABA tangential
+
+167
+00:23:14,990 --> 00:23:20,750
+هتكون
+
+168
+00:23:20,750 --> 00:23:24,090
+هاي
+
+169
+00:23:24,090 --> 00:23:29,230
+اتجاهة هذه عمودي
+
+170
+00:23:29,230 --> 00:23:29,730
+على BA
+
+171
+00:23:33,720 --> 00:23:39,840
+هذه a, b, a tangential مع
+
+172
+00:23:39,840 --> 00:23:47,260
+الأفق بيعمل تلاتين هذي زوية المستوى خمسة و أربعين
+
+173
+00:23:47,260 --> 00:23:56,180
+نعم a,b النقطة b إذا سأت زوية a,b تلاتين يعني
+
+174
+00:23:56,180 --> 00:24:02,300
+اتجاه ال acceleration عند b بيعمل خمسة و أربعين
+
+175
+00:24:02,300 --> 00:24:09,030
+درجة اتجاه المستوىA بإتنجاشها هتكون عمودية على
+
+176
+00:24:09,030 --> 00:24:21,890
+الخط BA معناته بتكون تعمل مع الرأس تلاتين
+
+177
+00:24:21,890 --> 00:24:27,830
+طيب
+
+178
+00:24:27,830 --> 00:24:32,710
+هو released from rest يعني في اللحظة هذه ماكنلهوش
+
+179
+00:24:32,710 --> 00:24:38,060
+سرعةيعني ال normal هتكون إيش الساوية؟ صفر يعني a,b
+
+180
+00:24:38,060 --> 00:24:47,200
+,a normal بحالة عادة a,b,a normal omega square في
+
+181
+00:24:47,200 --> 00:24:54,600
+b,a اللي هي صفر في b,a بالساوية الصفر يعني هدا
+
+182
+00:24:54,600 --> 00:24:58,120
+هتكون بالساوية
+
+183
+00:24:58,120 --> 00:25:02,840
+الصفر طيب ال a,b,a tangential
+
+184
+00:25:08,510 --> 00:25:22,590
+بتسوى ألفة في BA صح؟ هتكون أربعة في ألفة يعني
+
+185
+00:25:22,590 --> 00:25:31,570
+هذه هتصفة اللي هو AA زائد
+
+186
+00:25:31,570 --> 00:25:35,830
+أربعة ألفة
+
+187
+00:25:43,470 --> 00:25:50,890
+تلاتين درجة يعني
+
+188
+00:25:50,890 --> 00:25:58,450
+لو عملت مثلث متجهات هاي
+
+189
+00:25:58,450 --> 00:26:03,270
+AA و
+
+190
+00:26:03,270 --> 00:26:03,690
+AB
+
+191
+00:26:13,560 --> 00:26:25,880
+وعندي اللي هى أربع ألفة بتعمل زوا تلاتين هذه
+
+192
+00:26:25,880 --> 00:26:37,000
+أربع ألفة صح؟ وهذه ايه بيه؟ هذه تلاتين درجة؟
+
+193
+00:26:37,000 --> 00:26:44,960
+ومعناته هذه أكم؟ ستين هذه أكم هتكون؟خمس و سبعين
+
+194
+00:26:44,960 --> 00:26:50,700
+معناته
+
+195
+00:26:50,700 --> 00:27:04,620
+هيكون عنداه AB على صين الستين هتكون تستغل AA
+
+196
+00:27:04,620 --> 00:27:07,800
+على
+
+197
+00:27:07,800 --> 00:27:09,200
+صين الخمس و سبعين
+
+198
+00:27:12,080 --> 00:27:24,440
+بسوة أربع ألفة على ال sign الخمسة وأربعين يعني
+
+199
+00:27:24,440 --> 00:27:30,300
+انا ممكن احكي انه انا عندى
+
+200
+00:27:30,300 --> 00:27:42,440
+ألفة او اي اي اللي بدنا هي اي ايبتساوي أربعة ألفة
+
+201
+00:27:42,440 --> 00:27:52,160
+sign الخمسة و سبعين على sign الخمسة و أربعين يعني
+
+202
+00:27:52,160 --> 00:27:59,220
+أكتر بتطلع؟
+
+203
+00:27:59,220 --> 00:28:16,900
+خمسة point أربعة ستة أربعة صح؟ستة أربعة ألف هذه
+
+204
+00:28:16,900 --> 00:28:25,820
+ال A A طيب
+
+205
+00:28:25,820 --> 00:28:30,540
+الآن معناته ال acceleration بتاع ال G ممكن أنسيبها
+
+206
+00:28:30,540 --> 00:28:34,820
+ل A برضه ال A G إيش بتساوي؟
+
+207
+00:28:37,790 --> 00:28:44,650
+الـ A G هي ك vector بالساوية
+
+208
+00:28:44,650 --> 00:28:50,310
+A A التي
+
+209
+00:28:50,310 --> 00:28:59,630
+هي اتجاهها زاد A G A التنجنشة هتكون بس زاد A G A
+
+210
+00:28:59,630 --> 00:29:05,050
+اتجاهها
+
+211
+00:29:05,050 --> 00:29:06,510
+التنجنشة
+
+212
+00:29:10,730 --> 00:29:24,730
+هتكون عمودية هتكون عاولة الزاوية تلاتين
+
+213
+00:29:24,730 --> 00:29:31,470
+مرة و ال
+
+214
+00:29:31,470 --> 00:29:38,980
+AGAتنجينشال قيمتها بتكون ساوية اتنين في الف صح GA
+
+215
+00:29:38,980 --> 00:29:50,320
+في الف اتنين في الف يعني هذه هتكون ساوية AA زائد
+
+216
+00:29:50,320 --> 00:29:58,360
+AA زائد
+
+217
+00:29:58,360 --> 00:29:59,180
+اتنين الف
+
+218
+00:30:08,930 --> 00:30:15,050
+واحنا عارفين ال a a قيمتها خمسة point يعني هتكون
+
+219
+00:30:15,050 --> 00:30:23,190
+ال a g هتكون
+
+220
+00:30:23,190 --> 00:30:31,350
+تساوي a a اللي هي خمسة point اربع ست اربع الف بهذا
+
+221
+00:30:31,350 --> 00:30:36,950
+الاتجاه صح؟ زائد اتنين الف
+
+222
+00:30:39,730 --> 00:30:49,910
+بزاوية تلاتين درجة معناته
+
+223
+00:30:49,910 --> 00:30:54,110
+احنا عملنا .. عملنا في الأول مركبتين واحدة ax
+
+224
+00:30:54,110 --> 00:31:02,850
+واحدة ايش ay معناته ال ax هتكون
+
+225
+00:31:02,850 --> 00:31:15,020
+خمسة point اربع ستة اربع الفناقص اتنين الف ال sign
+
+226
+00:31:15,020 --> 00:31:22,780
+التلاتين يعني هتكون اربعة point اربعة ستة اربعة
+
+227
+00:31:22,780 --> 00:31:32,920
+الف هذه ال ax ال ay بتساوي
+
+228
+00:31:32,920 --> 00:31:36,260
+اتنين
+
+229
+00:31:36,260 --> 00:31:36,600
+الف
+
+230
+00:31:41,450 --> 00:31:48,010
+التلاتين لتحت صح يعني
+
+231
+00:31:48,010 --> 00:31:59,270
+هتكون واحد سبعة تلات اتنين مظبوط الف لتحت لان انا
+
+232
+00:31:59,270 --> 00:32:01,390
+already فرضتها لتحت ال AY
+
+233
+00:32:06,600 --> 00:32:10,840
+لأن هعوض عن a x و a y في المعادلة دي في المعادلة
+
+234
+00:32:10,840 --> 00:32:22,700
+واحد هذه معادلة اتنين هذه معادلة تلاتة اعوض اتنين
+
+235
+00:32:22,700 --> 00:32:26,120
+تلاتة في واحد بالكسيراند اكس ستة وتمانين بون ستة
+
+236
+00:32:29,630 --> 00:32:40,390
+بالساوية اتنين point O سبعة ألفة زائد ستة point
+
+237
+00:32:40,390 --> 00:32:50,310
+تسعة تلاتة واحد ال AX اللي هي في أربعة point أربعة
+
+238
+00:32:50,310 --> 00:32:52,610
+ستة أربعة ألفة
+
+239
+00:32:55,340 --> 00:33:03,080
+زائد اتنين point ستة تمانية تسعة في ال AY اللي هي
+
+240
+00:33:03,080 --> 00:33:15,340
+واحد point سبعة تلات اتنين Alpha ومنها بحسب ال
+
+241
+00:33:15,340 --> 00:33:22,080
+Alpha منها
+
+242
+00:33:22,080 --> 00:33:23,060
+بحسب ال Alpha
+
+243
+00:33:40,140 --> 00:33:46,760
+نين point نين تسعة تسعة سفر رديان
+
+244
+00:33:46,760 --> 00:33:54,640
+كل second square هذا المطلوب الأول المطلوب التاني
+
+245
+00:33:54,640 --> 00:33:59,000
+ان نحسب ال reactions عند
+
+246
+00:33:59,000 --> 00:34:03,140
+A و B يعني بنحسب N A و N B
+
+247
+00:34:10,060 --> 00:34:14,100
+يعني اذا أخدت summation لل forces باتجاه ال X
+
+248
+00:34:14,100 --> 00:34:21,780
+بتروح لان A صح؟ summation لل forces باتجاه ال X
+
+249
+00:34:21,780 --> 00:34:25,720
+بالسوء
+
+250
+00:34:25,720 --> 00:34:32,640
+M Ax يعني هكون ND Cos 45
+
+251
+00:34:40,920 --> 00:34:50,720
+بالساوية اللي هي W على G في AX ال AX نحسبها هنا دي
+
+252
+00:34:50,720 --> 00:34:54,660
+ال AX بالساوية
+
+253
+00:34:54,660 --> 00:34:56,900
+اللي هي أربعة point أربعة ستة أربعة في ألفة أربعة
+
+254
+00:34:56,900 --> 00:35:00,300
+عشرة
+
+255
+00:35:00,300 --> 00:35:00,600
+point
+
+256
+00:35:07,450 --> 00:35:17,970
+اللي هي قدم على second تربيع والاي اللي
+
+257
+00:35:17,970 --> 00:35:26,510
+واحد point سبعة تلات اتنين في الف تلاتة
+
+258
+00:35:26,510 --> 00:35:31,050
+point قدم
+
+259
+00:35:31,050 --> 00:35:38,780
+لكل second تربيعالان ax اللي هي احنا حكينا في عشرة
+
+260
+00:35:38,780 --> 00:35:52,580
+point اتنين ستة اتنين ومنها بحسب ال nb بتساوي
+
+261
+00:35:52,580 --> 00:36:02,970
+خمسين في عشرة point اتنين ستة اتنينعلى نين و
+
+262
+00:36:02,970 --> 00:36:10,530
+تلاتين و اتنين من عشرة على كوسين الخمس و أربعين
+
+263
+00:36:10,530 --> 00:36:18,570
+اتنين و عشرين point found
+
+264
+00:36:25,680 --> 00:36:29,980
+عشان احسب ال NA باخد summation لل forces بالتجاه
+
+265
+00:36:29,980 --> 00:36:38,400
+ال Y بالثقام
+
+266
+00:36:38,400 --> 00:36:49,960
+AY التجاه ال Y عند NA minus
+
+267
+00:36:49,960 --> 00:36:54,640
+W زاد NB
+
+268
+00:36:57,770 --> 00:37:04,290
+Sin الخمسة و أربعين AY
+
+269
+00:37:04,290 --> 00:37:09,110
+لتحت جاي هتكون سالب ومحكت
+
+270
+00:37:09,110 --> 00:37:22,230
+كتير انا هيك موجة سالب اللي هي W على G في AY يعني
+
+271
+00:37:22,230 --> 00:37:22,670
+ال NA
+
+272
+00:37:26,580 --> 00:37:36,040
+هتكون تساوي W اللي هي خمسين زائد
+
+273
+00:37:36,040 --> 00:37:44,320
+minus ال NB اللي هي اتنين و عشرين اربعة
+
+274
+00:37:44,320 --> 00:37:48,080
+و خمسين sign الخمسة و اربعين
+
+275
+00:37:52,350 --> 00:37:57,850
+مينوس خمسين في ال AY اللي هي تلاتة بون تسعة تمانية
+
+276
+00:37:57,850 --> 00:38:01,990
+واحد على
+
+277
+00:38:01,990 --> 00:38:06,910
+اتنين و تلاتين و اتنين من عشران
+
+278
+00:38:23,710 --> 00:38:34,110
+سبعة و عشرين بقعد
+
+279
+00:38:34,110 --> 00:38:39,150
+في
+
+280
+00:38:39,150 --> 00:38:44,450
+أي سؤال؟ طيب هيك و نكون خلصنا نعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/fVHp0_d1maw_raw.json b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/fVHp0_d1maw_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..3e386f52a67e37b6b7bf0414a41997eb3f8c562b
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/fVHp0_d1maw_raw.json
@@ -0,0 +1 @@
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"end": 287.62, "word": " MAY", "probability": 0.4976806640625}, {"start": 287.62, "end": 296.04, "word": " طيب", "probability": 0.9503580729166666}, {"start": 296.04, "end": 296.42, "word": " لو", "probability": 0.9501953125}, {"start": 296.42, "end": 296.84, "word": " مديت", "probability": 0.9345703125}, {"start": 296.84, "end": 297.0, "word": " أنا", "probability": 0.46435546875}, {"start": 297.0, "end": 297.38, "word": " هدول", "probability": 0.8670247395833334}], "temperature": 1.0}, {"id": 11, "seek": 31743, "start": 315.75, "end": 317.43, "text": "هألتقي في نقطة C", "tokens": [3224, 10721, 1211, 2655, 38436, 8978, 8717, 47432, 3660, 383], "avg_logprob": -0.3279474377632141, "compression_ratio": 0.8, "no_speech_prob": 0.0, "words": [{"start": 315.75, "end": 316.27, "word": "هألتقي", "probability": 0.7038818359375}, {"start": 316.27, "end": 316.39, "word": " في", "probability": 0.72607421875}, {"start": 316.39, "end": 316.91, "word": " نقطة", "probability": 0.97314453125}, {"start": 316.91, "end": 317.43, "word": " C", "probability": 0.80615234375}], "temperature": 1.0}, {"id": 12, "seek": 37697, "start": 349.09, "end": 376.97, "text": "هذه جي هذه بي هذه ايه هذه طبعا تلاتين", "tokens": [3224, 24192, 10874, 1829, 29538, 4724, 1829, 29538, 1975, 1829, 3224, 29538, 23032, 3555, 3615, 995, 6055, 1211, 9307, 9957], "avg_logprob": -0.21298363095238096, "compression_ratio": 1.2452830188679245, "no_speech_prob": 0.0, "words": [{"start": 349.09, "end": 349.45, "word": "هذه", "probability": 0.753662109375}, {"start": 349.45, "end": 349.85, "word": " جي", "probability": 0.563232421875}, {"start": 349.85, "end": 354.59, "word": " هذه", "probability": 0.60205078125}, {"start": 354.59, "end": 356.39, "word": " بي", "probability": 0.886474609375}, {"start": 356.39, "end": 358.11, "word": " هذه", "probability": 0.90283203125}, {"start": 358.11, "end": 371.41, "word": " ايه", "probability": 0.77490234375}, {"start": 371.41, "end": 376.13, "word": " هذه", "probability": 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"end": 539.31, "word": " g", "probability": 0.26806640625}, {"start": 539.31, "end": 539.79, "word": " بستوى", "probability": 0.86181640625}, {"start": 539.79, "end": 540.11, "word": " I", "probability": 0.78271484375}, {"start": 540.11, "end": 540.27, "word": " في", "probability": 0.71533203125}, {"start": 540.27, "end": 540.59, "word": " Alpha", "probability": 0.326416015625}, {"start": 540.59, "end": 543.21, "word": " اذا", "probability": 0.88232421875}, {"start": 543.21, "end": 543.51, "word": " كانت", "probability": 0.98486328125}, {"start": 543.51, "end": 543.77, "word": " حوالي", "probability": 0.9674072265625}, {"start": 543.77, "end": 544.13, "word": " النقطة", "probability": 0.8245442708333334}, {"start": 544.13, "end": 544.27, "word": " تانية", "probability": 0.8582356770833334}, {"start": 544.27, "end": 544.69, "word": " هتكون", "probability": 0.9510091145833334}, {"start": 544.69, "end": 546.45, "word": " ال", "probability": 0.91796875}, {"start": 546.45, "end": 547.23, "word": " effective", "probability": 0.44970703125}, {"start": 547.23, "end": 549.05, "word": " خلنا", "probability": 0.4185384114583333}, {"start": 549.05, "end": 549.27, "word": " نعرف", "probability": 0.9920247395833334}, {"start": 549.27, "end": 549.47, "word": " ال", "probability": 0.66015625}, {"start": 549.47, "end": 549.83, "word": " X", "probability": 0.87353515625}, {"start": 549.83, "end": 550.25, "word": " هاي", "probability": 0.60693359375}, {"start": 550.25, "end": 550.39, "word": " ال", "probability": 0.9677734375}, {"start": 550.39, "end": 550.79, "word": " X", "probability": 0.98095703125}, {"start": 550.79, "end": 556.31, "word": " هاي", "probability": 0.7763671875}, {"start": 556.31, "end": 556.45, "word": " ال", "probability": 0.9921875}, {"start": 556.45, "end": 556.63, "word": " Y", "probability": 0.97802734375}], "temperature": 1.0}, {"id": 18, "seek": 58414, "start": 558.98, "end": 584.14, "text": "انا بدى احاول اخد summation moment حوالين نقطة بدى اعمل نقطة بحيث اضبع صفرين بحجر عندى يا A يا B يا C C بتروح عن A", "tokens": [7649, 995, 47525, 7578, 1975, 5016, 995, 12610, 1975, 9778, 3215, 28811, 1623, 11331, 2407, 6027, 9957, 8717, 47432, 3660, 47525, 7578, 1975, 25957, 1211, 8717, 47432, 3660, 4724, 5016, 1829, 12984, 1975, 11242, 3555, 3615, 20328, 5172, 2288, 9957, 4724, 5016, 7435, 2288, 43242, 7578, 35186, 316, 35186, 363, 35186, 383, 383, 39894, 32887, 5016, 18871, 316], "avg_logprob": -0.2441737343699245, "compression_ratio": 1.3759398496240602, "no_speech_prob": 0.0, "words": [{"start": 558.98, "end": 559.28, "word": "انا", "probability": 0.801513671875}, {"start": 559.28, "end": 559.44, "word": " بدى", "probability": 0.5252685546875}, {"start": 559.44, "end": 559.7, "word": " احاول", "probability": 0.902099609375}, {"start": 559.7, "end": 559.98, "word": " اخد", "probability": 0.78369140625}, {"start": 559.98, "end": 560.36, "word": " summation", "probability": 0.11224365234375}, {"start": 560.36, "end": 560.64, "word": " moment", 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2214.64, "word": " NB", "probability": 0.766357421875}], "temperature": 1.0}, {"id": 73, "seek": 224267, "start": 2217.77, "end": 2242.67, "text": "Sin الخمسة و أربعين AY لتحت جاي هتكون سالب ومحكت كتير انا هيك موجة سالب اللي هي W على G في AY يعني ال NA", "tokens": [50, 259, 2423, 9778, 2304, 3794, 3660, 4032, 5551, 25513, 3615, 9957, 316, 56, 5296, 2655, 33753, 10874, 47302, 8032, 2655, 30544, 8608, 6027, 3555, 4032, 2304, 5016, 4117, 2655, 9122, 2655, 13546, 1975, 8315, 39896, 4117, 3714, 29245, 3660, 8608, 6027, 3555, 13672, 1829, 39896, 343, 15844, 460, 8978, 316, 56, 37495, 22653, 2423, 16585], "avg_logprob": -0.4185855179502253, "compression_ratio": 1.3106060606060606, "no_speech_prob": 7.748603820800781e-07, "words": [{"start": 2217.7699999999995, "end": 2218.6099999999997, "word": "Sin", "probability": 0.576904296875}, {"start": 2218.6099999999997, "end": 2219.45, "word": " الخمسة", "probability": 0.5973388671875}, {"start": 2219.45, "end": 2219.53, "word": " و", "probability": 0.55419921875}, {"start": 2219.53, "end": 2220.07, "word": " أربعين", "probability": 0.9013671875}, {"start": 2220.07, "end": 2224.29, "word": " AY", "probability": 0.385040283203125}, {"start": 2224.29, "end": 2224.71, "word": " لتحت", "probability": 0.7999674479166666}, {"start": 2224.71, "end": 2224.93, "word": " جاي", "probability": 0.37152099609375}, {"start": 2224.93, "end": 2225.25, "word": " هتكون", "probability": 0.81982421875}, {"start": 2225.25, "end": 2225.93, "word": " سالب", "probability": 0.8982747395833334}, {"start": 2225.93, "end": 2229.11, "word": " ومحكت", "probability": 0.495751953125}, {"start": 2229.11, "end": 2229.41, "word": " كتير", "probability": 0.7708333333333334}, {"start": 2229.41, "end": 2229.53, "word": " انا", "probability": 0.697509765625}, {"start": 2229.53, "end": 2229.65, "word": " هيك", "probability": 0.737548828125}, {"start": 2229.65, "end": 2229.99, "word": " موجة", "probability": 0.9454752604166666}, {"start": 2229.99, "end": 2231.67, "word": " سالب", "probability": 0.9700520833333334}, {"start": 2231.67, "end": 2231.83, "word": " اللي", "probability": 0.71630859375}, {"start": 2231.83, "end": 2231.99, "word": " هي", "probability": 0.767578125}, {"start": 2231.99, "end": 2232.57, "word": " W", "probability": 0.76123046875}, {"start": 2232.57, "end": 2234.79, "word": " على", "probability": 0.63427734375}, {"start": 2234.79, "end": 2235.15, "word": " G", "probability": 0.94287109375}, {"start": 2235.15, "end": 2237.93, "word": " في", "probability": 0.93896484375}, {"start": 2237.93, "end": 2238.47, "word": " AY", "probability": 0.873779296875}, {"start": 2238.47, "end": 2242.23, "word": " يعني", "probability": 0.94921875}, {"start": 2242.23, "end": 2242.39, "word": " ال", "probability": 0.9169921875}, {"start": 2242.39, "end": 2242.67, "word": " NA", "probability": 0.351806640625}], "temperature": 1.0}, {"id": 74, "seek": 226808, "start": 2246.58, "end": 2268.08, "text": "هتكون تساوي W اللي هي خمسين زائد minus ال NB اللي هي اتنين و عشرين اربعة و خمسين sign الخمسة و اربعين", "tokens": [3224, 2655, 30544, 6055, 3794, 995, 45865, 343, 13672, 1829, 39896, 16490, 2304, 3794, 9957, 30767, 16373, 3215, 3175, 2423, 426, 33, 13672, 1829, 39896, 1975, 2655, 1863, 9957, 4032, 6225, 46309, 9957, 1975, 25513, 27884, 4032, 16490, 2304, 3794, 9957, 1465, 33962, 2304, 3794, 3660, 4032, 1975, 25513, 3615, 9957], "avg_logprob": -0.21784855110140947, "compression_ratio": 1.456896551724138, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2246.58, "end": 2247.06, "word": "هتكون", "probability": 0.7923990885416666}, {"start": 2247.06, "end": 2247.7, "word": " تساوي", "probability": 0.96728515625}, {"start": 2247.7, "end": 2249.46, "word": " W", "probability": 0.29248046875}, {"start": 2249.46, "end": 2249.68, "word": " اللي", "probability": 0.5872802734375}, {"start": 2249.68, "end": 2250.04, "word": " هي", "probability": 0.92822265625}, {"start": 2250.04, "end": 2251.24, "word": " خمسين", "probability": 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0.98583984375}, {"start": 2265.0, "end": 2266.72, "word": " sign", "probability": 0.27783203125}, {"start": 2266.72, "end": 2267.52, "word": " الخمسة", "probability": 0.936767578125}, {"start": 2267.52, "end": 2267.56, "word": " و", "probability": 0.83056640625}, {"start": 2267.56, "end": 2268.08, "word": " اربعين", "probability": 0.869384765625}], "temperature": 1.0}, {"id": 75, "seek": 228691, "start": 2272.35, "end": 2286.91, "text": "مينوس خمسين في ال AY اللي هي تلاتة بون تسعة تمانية واحد على اتنين و تلاتين و اتنين من عشران", "tokens": [2304, 9957, 41779, 16490, 2304, 3794, 9957, 8978, 2423, 316, 56, 13672, 1829, 39896, 6055, 1211, 9307, 3660, 4724, 11536, 6055, 3794, 27884, 46811, 7649, 10632, 36764, 24401, 15844, 1975, 2655, 1863, 9957, 4032, 6055, 1211, 9307, 9957, 4032, 1975, 2655, 1863, 9957, 9154, 6225, 46309, 7649], "avg_logprob": -0.26269532678027946, "compression_ratio": 1.5046728971962617, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 2272.35, "end": 2273.19, "word": "مينوس", "probability": 0.4427897135416667}, {"start": 2273.19, "end": 2274.03, "word": " خمسين", "probability": 0.9918212890625}, {"start": 2274.03, "end": 2275.65, "word": " في", "probability": 0.748046875}, {"start": 2275.65, "end": 2275.81, "word": " ال", "probability": 0.9541015625}, {"start": 2275.81, "end": 2276.19, "word": " AY", "probability": 0.55242919921875}, {"start": 2276.19, "end": 2276.35, "word": " اللي", "probability": 0.546875}, {"start": 2276.35, "end": 2276.61, "word": " هي", "probability": 0.892578125}, {"start": 2276.61, "end": 2277.07, "word": " تلاتة", "probability": 0.9212646484375}, {"start": 2277.07, "end": 2277.29, "word": " بون", "probability": 0.3875732421875}, {"start": 2277.29, "end": 2277.57, "word": " تسعة", "probability": 0.9856770833333334}, {"start": 2277.57, "end": 2277.85, "word": " تمانية", "probability": 0.8763020833333334}, {"start": 2277.85, "end": 2278.31, "word": " واحد", "probability": 0.98095703125}, {"start": 2278.31, "end": 2281.99, "word": " على", "probability": 0.67919921875}, {"start": 2281.99, "end": 2283.85, "word": " اتنين", "probability": 0.90185546875}, {"start": 2283.85, "end": 2283.93, "word": " و", "probability": 0.57373046875}, {"start": 2283.93, "end": 2284.55, "word": " تلاتين", "probability": 0.96337890625}, {"start": 2284.55, "end": 2285.97, "word": " و", "probability": 0.90087890625}, {"start": 2285.97, "end": 2286.25, "word": " اتنين", "probability": 0.899169921875}, {"start": 2286.25, "end": 2286.37, "word": " من", "probability": 0.859375}, {"start": 2286.37, "end": 2286.91, "word": " عشران", "probability": 0.88916015625}], "temperature": 1.0}, {"id": 76, "seek": 232444, "start": 2303.71, "end": 2324.45, "text": "سبعة و عشرين بقعد في أي سؤال؟ طيب هيك و نكون خلصنا نعطيكوا العافية", "tokens": [3794, 3555, 27884, 4032, 6225, 46309, 9957, 4724, 4587, 22488, 8978, 36632, 8608, 33604, 6027, 22807, 23032, 1829, 3555, 39896, 4117, 4032, 8717, 30544, 16490, 1211, 9381, 8315, 8717, 3615, 9566, 1829, 4117, 14407, 18863, 31845, 10632], "avg_logprob": -0.33614309759516464, "compression_ratio": 1.2659574468085106, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2303.71, "end": 2304.61, "word": "سبعة", "probability": 0.4996541341145833}, {"start": 2304.61, "end": 2304.77, "word": " و", "probability": 0.640625}, {"start": 2304.77, "end": 2305.13, "word": " عشرين", "probability": 0.8772786458333334}, {"start": 2305.13, "end": 2314.11, "word": " بقعد", "probability": 0.4947509765625}, {"start": 2314.11, "end": 2319.15, "word": " في", "probability": 0.61328125}, {"start": 2319.15, "end": 2319.25, "word": " أي", "probability": 0.420166015625}, {"start": 2319.25, "end": 2320.23, "word": " سؤال؟", "probability": 0.90478515625}, {"start": 2320.23, "end": 2322.41, "word": " طيب", "probability": 0.9456380208333334}, {"start": 2322.41, "end": 2322.95, "word": " هيك", "probability": 0.804443359375}, {"start": 2322.95, "end": 2322.99, "word": " و", "probability": 0.40576171875}, {"start": 2322.99, "end": 2323.23, "word": " نكون", "probability": 0.683837890625}, {"start": 2323.23, "end": 2323.71, "word": " خلصنا", "probability": 0.8795166015625}, {"start": 2323.71, "end": 2324.03, "word": " نعطيكوا", "probability": 0.8671061197916666}, {"start": 2324.03, "end": 2324.45, "word": " العافية", "probability": 0.93994140625}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2324.92125, "duration_after_vad": 1846.5124999999919}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/fVHp0_d1maw_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/fVHp0_d1maw_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..cf55e60eda30695e711529d5a28160c5be66ad4e
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+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/fVHp0_d1maw_raw.srt
@@ -0,0 +1,1128 @@
+1
+00:00:05,280 --> 00:00:08,520
+بسم الله الرحمن الرحيم السلام عليكم و رحمة الله و
+
+2
+00:00:08,520 --> 00:00:13,560
+بركاته، هنكمل في مادة ال dynamica، احنا حاليا في
+
+3
+00:00:13,560 --> 00:00:19,260
+ال chapter ستاشر leukeinatics of rigid bodies،
+
+4
+00:00:19,260 --> 00:00:24,130
+المحاضرة اللي فاتت حليناعملنا force analysis
+
+5
+00:00:24,130 --> 00:00:28,930
+لمجموعة من المثائل اليوم هنكمل نحكي عن ال
+
+6
+00:00:28,930 --> 00:00:33,350
+constraint plan motion الحركة المستوية المقيدة
+
+7
+00:00:33,350 --> 00:00:40,810
+constraint plan motion هي بتكون حركة ال .. ال
+
+8
+00:00:40,810 --> 00:00:44,890
+mechanical parts أو ال component بتحرك يعني
+
+9
+00:00:44,890 --> 00:00:50,690
+بالطريقة المنضبطة يعني مثلا احنا ال ..احنا شايفين
+
+10
+00:00:50,690 --> 00:00:56,210
+أنه رد هنا a,b فى ثابت عنده slide عند a و slide
+
+11
+00:00:56,210 --> 00:01:01,410
+عند b نقطة a بتتحرك دايما باتجاه الأفقى و نقطة b
+
+12
+00:01:01,410 --> 00:01:06,430
+بتتحرك باتجاه الرأس فهو مقيد أنه هذه بتتحرك أفقى و
+
+13
+00:01:06,430 --> 00:01:11,330
+هذه تتحرك رأسى طبعا حكون فى علاقة يعني هذه
+
+14
+00:01:11,330 --> 00:01:15,610
+بتساعدنا فى دراسة الحركةإنه بيكون فيه علاقة بين ال
+
+15
+00:01:15,610 --> 00:01:20,070
+velocity و ال acceleration ل a و ال force و ال
+
+16
+00:01:20,070 --> 00:01:22,430
+acceleration ل b بيكون فيه بينهم علاقة نتيجة
+
+17
+00:01:22,430 --> 00:01:27,190
+التقييد بالحركة لو بدك تعمل ال free body diagram
+
+18
+00:01:27,190 --> 00:01:32,130
+للجسم هذا هكون عندهين رد الفعل عن b و فيه ال force
+
+19
+00:01:32,130 --> 00:01:36,550
+b و في عنده رد الفعل عن b و في الوزن هدول كلهم
+
+20
+00:01:36,550 --> 00:01:42,310
+هيعملوهacceleration إلها two components لمركز
+
+21
+00:01:42,310 --> 00:01:47,110
+الثقل هكون في عندي ايش I alpha في عند ال rotation
+
+22
+00:01:47,110 --> 00:01:53,030
+يعني جزيتي هي جزيتي انتقال وجزيتي دوران هنشوف مثال
+
+23
+00:01:53,030 --> 00:02:00,170
+على الحركة المقيدة في عندي ال rod طوله أربعة قدم
+
+24
+00:02:14,410 --> 00:02:21,410
+طول الرد أربع قدم ووزنه
+
+25
+00:02:21,410 --> 00:02:32,910
+خمسين pound can move
+
+26
+00:02:32,910 --> 00:02:36,470
+freely with no friction along two straight tracks
+
+27
+00:02:36,470 --> 00:02:40,110
+ممكن تتحرك .. و بتتحرك بدون احتكاك على المستوى
+
+28
+00:02:40,110 --> 00:02:46,600
+الأفقي عند A وعلى المستوى المايل عند Band no
+
+29
+00:02:46,600 --> 00:02:56,480
+friction the
+
+30
+00:02:56,480 --> 00:03:00,240
+rod is released with no velocity from the position
+
+31
+00:03:00,240 --> 00:03:04,360
+شون ماضية اللي احنا شايفينها تم اطلاقه من السكون
+
+32
+00:03:04,360 --> 00:03:08,160
+تم اطلاقه من السكون ماضية اللي احنا شايفينها احصل
+
+33
+00:03:08,160 --> 00:03:11,700
+angular acceleration of the rod العجل الزاوية لل
+
+34
+00:03:11,700 --> 00:03:15,300
+rod و reactions at a and b
+
+35
+00:03:27,900 --> 00:03:30,520
+عشان احل المثال اذاك بدي اعمل ال free body diagram
+
+36
+00:03:30,520 --> 00:03:38,240
+فاش
+
+37
+00:03:38,240 --> 00:03:46,440
+عندى friction المعنى بتقول ان دي هي force NA
+
+38
+00:03:46,440 --> 00:03:52,620
+صح normal force فعندى عمودية على المستوى هذا
+
+39
+00:04:05,350 --> 00:04:13,730
+NB في الوزن W
+
+40
+00:04:13,730 --> 00:04:21,970
+هذه هي ال force بتأثر عليه نتيجة
+
+41
+00:04:21,970 --> 00:04:26,430
+هذه ال forces حس
+
+42
+00:04:26,430 --> 00:04:26,950
+يكون له
+
+43
+00:04:29,960 --> 00:04:37,160
+I فى Alpha حوالى مركز الثقل وفى له اكتراشن هكون له
+
+44
+00:04:37,160 --> 00:04:47,620
+AX MAY
+
+45
+00:04:47,620 --> 00:04:56,040
+طيب
+
+46
+00:04:56,040 --> 00:04:57,380
+لو مديت أنا هدول
+
+47
+00:05:15,750 --> 00:05:17,430
+هألتقي في نقطة C
+
+48
+00:05:49,090 --> 00:05:54,590
+هذه جي هذه
+
+49
+00:05:54,590 --> 00:06:11,410
+بي هذه ايه
+
+50
+00:06:11,410 --> 00:06:16,130
+هذه
+
+51
+00:06:16,130 --> 00:06:16,970
+طبعا تلاتين
+
+52
+00:06:22,710 --> 00:06:32,450
+و هذه كلها خمس
+
+53
+00:06:32,450 --> 00:06:40,710
+و اربعين ما نفسد ازااك ما هتكون خمس
+
+54
+00:06:40,710 --> 00:06:42,190
+و اربعين نفسد تلاتين خمس و أستعاشر
+
+55
+00:06:53,170 --> 00:06:58,050
+هذا عمودي على المستوى هذا يعني هذي بتعمل زاوية
+
+56
+00:06:58,050 --> 00:07:06,730
+كام؟ 45 صح؟
+
+57
+00:07:06,730 --> 00:07:11,270
+يعني
+
+58
+00:07:11,270 --> 00:07:14,250
+هذي كلها تسعين درجة، هذي كلها إيش؟ تسعين، تسعين
+
+59
+00:07:14,250 --> 00:07:17,790
+نقص خمستاشر، هذي خمسة سبعين هتكون
+
+60
+00:07:24,870 --> 00:07:36,570
+و هذا هتكون تسعين ناقص تلتين ستين معناته
+
+61
+00:07:36,570 --> 00:07:38,850
+هذا أكمل هتكون خمس و أربعين
+
+62
+00:08:02,350 --> 00:08:02,790
+طيب
+
+63
+00:08:48,190 --> 00:08:51,570
+انا طبعا ان دي هكون summation لل forces بستوى
+
+64
+00:08:51,570 --> 00:08:59,090
+صفراء معادلة و summation لل moments اذا كانت حوالي
+
+65
+00:08:59,090 --> 00:09:04,270
+g بستوى I في Alpha اذا كانت حوالي النقطة تانية
+
+66
+00:09:04,270 --> 00:09:16,310
+هتكون ال effective خلنا نعرف ال X هاي ال X هاي
+
+67
+00:09:16,310 --> 00:09:22,200
+ال Yانا بدى احاول اخد summation moment حوالين نقطة
+
+68
+00:09:22,200 --> 00:09:32,500
+بدى
+
+69
+00:09:32,500 --> 00:09:38,460
+اعمل نقطة بحيث اضبع صفرين بحجر عندى
+
+70
+00:09:38,460 --> 00:09:48,520
+يا A يا B يا C C بتروح عن Aو NB اللي حكيت
+
+71
+00:09:48,520 --> 00:09:52,220
+summation للممد
+
+72
+00:09:52,220 --> 00:09:57,780
+حوالين ال C بيساوم
+
+73
+00:09:57,780 --> 00:10:04,040
+C effective طبعا
+
+74
+00:10:04,040 --> 00:10:10,980
+هتروح ال NA و ال NB و يضل عندي H و ال W بس انا
+
+75
+00:10:10,980 --> 00:10:16,500
+حلزبني اعرف مسافات في الأول صح؟انا عندى الضلع هذا
+
+76
+00:10:16,500 --> 00:10:22,840
+معروف و التلات و الأوربا اللات ممكن اعرف بي سي و
+
+77
+00:10:22,840 --> 00:10:33,140
+اي سي يعني لو استخدمت ال sign law المثلث عندى a b
+
+78
+00:10:33,140 --> 00:10:46,350
+c هيكون بي سيعلى ال sign ستين بيساوي AB اللي هي
+
+79
+00:10:46,350 --> 00:10:56,730
+أربع على ال sign الخمس و أربعين بيساوي
+
+80
+00:10:56,730 --> 00:11:01,750
+AC على
+
+81
+00:11:01,750 --> 00:11:13,860
+ال sign الخمس و سبعينو منها بحسب ال BC ال BC اللي
+
+82
+00:11:13,860 --> 00:11:16,720
+بيساوي أربعة صين ستية عن صين خمس و أربعين أربعة
+
+83
+00:11:16,720 --> 00:11:23,940
+point تمانية تسعة أربعة point تمانية تسعة كم الرقم
+
+84
+00:11:23,940 --> 00:11:29,180
+تمانية لما
+
+85
+00:11:29,180 --> 00:11:32,220
+تقرب إذا كانت تمانية كيف .. يعني هو ده سفر السيرة
+
+86
+00:11:32,220 --> 00:11:36,800
+صح؟ أه تعرف تقرب صح إيش اللي بعد التمانية؟
+
+87
+00:11:40,430 --> 00:11:48,270
+معناته هي التسعة قدم
+
+88
+00:11:48,270 --> 00:11:53,730
+و ال AC بتسوى
+
+89
+00:11:53,730 --> 00:11:56,390
+اللي هى أربع أربع صين الخمسة و سبعين على صين
+
+90
+00:11:56,390 --> 00:12:03,030
+الخمسة و أربعين خمسة
+
+91
+00:12:03,030 --> 00:12:03,270
+point
+
+92
+00:12:17,460 --> 00:12:24,400
+فده ال force اللى بتعمله متحوله نصرى اللى هى الوزن
+
+93
+00:12:24,400 --> 00:12:29,460
+يعنى
+
+94
+00:12:29,460 --> 00:12:34,520
+المسافة هذه هذه
+
+95
+00:12:34,520 --> 00:12:35,140
+المسافة
+
+96
+00:12:42,010 --> 00:12:49,050
+ممكن نعرفها اتنين
+
+97
+00:12:49,050 --> 00:12:53,650
+cosine الستين او cosine اتنين فهذه اتنين sin
+
+98
+00:12:53,650 --> 00:13:00,110
+الستين صح؟ يعني
+
+99
+00:13:00,110 --> 00:13:06,070
+هكون ال W في
+
+100
+00:13:06,070 --> 00:13:10,030
+اتنين sin الستين
+
+101
+00:13:11,280 --> 00:13:15,700
+بتساوي I
+
+102
+00:13:15,700 --> 00:13:28,480
+see
+
+103
+00:13:43,730 --> 00:13:56,210
+بتساوي I في Alpha زائد
+
+104
+00:13:56,210 --> 00:14:04,630
+M Ax في المسافة هذه
+
+105
+00:14:15,810 --> 00:14:20,470
+هذه أكم مسافة هذه
+
+106
+00:14:20,470 --> 00:14:28,170
+كلها اتنين كوصين اكم الستين بالظبط
+
+107
+00:14:28,170 --> 00:14:39,090
+يعني هذا هتكون AC اللي هي خمسة point اربع
+
+108
+00:14:39,090 --> 00:14:45,310
+ست اربع minus اتنين كوصين الستين
+
+109
+00:14:47,840 --> 00:14:54,960
+هتكون معناته في خمسة
+
+110
+00:14:54,960 --> 00:15:06,860
+point اربع ستة اربع minus اتنين cosine ستين نقص
+
+111
+00:15:06,860 --> 00:15:14,840
+واحد يعني هتكون اربع point اربع ستة اربع وهذه
+
+112
+00:15:14,840 --> 00:15:16,100
+المسافة اللي حكيناها
+
+113
+00:15:21,380 --> 00:15:33,800
+تنين ساين الستين درجة زائد
+
+114
+00:15:33,800 --> 00:15:39,720
+برضه موجة بتعمل زائد M Ay
+
+115
+00:15:39,720 --> 00:15:47,840
+في اتنين ساين الستين
+
+116
+00:15:51,480 --> 00:16:00,820
+طب الرد ال I حوالي المركز تقلو ايش بتساوي؟ بتطلع
+
+117
+00:16:00,820 --> 00:16:06,780
+من الكتاب كتاب
+
+118
+00:16:06,780 --> 00:16:17,820
+ال dynamica يعني
+
+119
+00:16:17,820 --> 00:16:18,700
+في الأول بيكون
+
+120
+00:16:24,720 --> 00:16:34,440
+أو في الآخر كام
+
+121
+00:16:34,440 --> 00:16:35,720
+نحكي؟ ألف؟
+
+122
+00:17:07,100 --> 00:17:08,500
+معناته شكله في الأول
+
+123
+00:17:41,130 --> 00:17:50,270
+طيب دوروا عليها عليها ال I للرد بالساوية
+
+124
+00:17:50,270 --> 00:18:03,490
+ال
+
+125
+00:18:03,490 --> 00:18:08,350
+I بالساوية
+
+126
+00:18:08,350 --> 00:18:17,950
+واحد على اتناشم التربيع يعني
+
+127
+00:18:17,950 --> 00:18:22,990
+هتكون واحد
+
+128
+00:18:22,990 --> 00:18:31,170
+على اتناش الام عندي اللي هو خمسين على اتنين و
+
+129
+00:18:31,170 --> 00:18:40,250
+تلاتين و اتنين من عشرة في اربعة تربيع احنا
+
+130
+00:18:40,250 --> 00:18:41,110
+bound force
+
+131
+00:18:44,280 --> 00:18:54,940
+على foot على second square في ايش؟ foot تربيع يعني
+
+132
+00:18:54,940 --> 00:19:03,660
+هتطلع كل واحدة هنا ground force foot second square
+
+133
+00:19:16,500 --> 00:19:22,960
+تلات أرقام تلات أرقام
+
+134
+00:19:22,960 --> 00:19:29,420
+تلات أرقام تلات أرقام تلات أرقام تلات أرقام تلات
+
+135
+00:19:29,420 --> 00:19:30,120
+أرقام تلات أرقام تلات أرقام تلات أرقام تلات أرقام
+
+136
+00:19:30,120 --> 00:19:30,860
+تلات أرقام تلات أرقام تلات أرقام تلات أرقام تلات
+
+137
+00:19:30,860 --> 00:19:30,860
+أرقام تلات أرقام تلات أرقام تلات أرقام تلات أرقام
+
+138
+00:19:30,860 --> 00:19:30,860
+تلات أرقام تلات أرقام تلات أرقام تلات أرقام تلات
+
+139
+00:19:30,860 --> 00:19:30,880
+أرقام تلات أرقام تلات أرقام تلات أرقام تلات أرقام
+
+140
+00:19:30,880 --> 00:19:35,360
+تلات أرقام تلات
+
+141
+00:19:35,360 --> 00:19:45,110
+أرقام تلات أرقامصفر سبع صفر في الف اللي أنا مش
+
+142
+00:19:45,110 --> 00:19:52,150
+عارفها زائد اللي هو خمسين على اتنين و تلاتين point
+
+143
+00:19:52,150 --> 00:20:06,110
+اتنين ax في اربع point اربع ستة اربعزائد خمسين على
+
+144
+00:20:06,110 --> 00:20:13,950
+اتنين و تلاتين point اتنين ay في اتنين sin الستين
+
+145
+00:20:13,950 --> 00:20:20,050
+خلينا نحصل الأرقام هذه صح
+
+146
+00:20:20,050 --> 00:20:23,910
+اه
+
+147
+00:20:23,910 --> 00:20:29,810
+احنا طلعناها و خلصناها طيب
+
+148
+00:20:31,970 --> 00:20:37,250
+خمسين فى .. خمسين فى اتنين مية يعنى هتطلع عادي
+
+149
+00:20:37,250 --> 00:20:41,230
+تمانمية او point .. ستة سبعين point ستة ستة
+
+150
+00:20:41,230 --> 00:20:46,550
+تمانميين ستة
+
+151
+00:20:46,550 --> 00:20:56,770
+ستة بالساوية اتنين الف
+
+152
+00:20:56,770 --> 00:20:58,750
+زائد
+
+153
+00:21:03,600 --> 00:21:18,060
+واحد point خمسة خمسة واحد point خمسة خمسة واحد
+
+154
+00:21:18,060 --> 00:21:29,440
+point ستة point خمسة خمسة واحد point ستة
+
+155
+00:21:29,440 --> 00:21:29,720
+point
+
+156
+00:21:37,090 --> 00:21:45,090
+اكس زائد نين
+
+157
+00:21:45,090 --> 00:21:50,770
+بونت ست
+
+158
+00:21:50,770 --> 00:21:56,630
+تمانية تسعة ايه معادلة واحدة طيب
+
+159
+00:22:06,240 --> 00:22:13,300
+الان في عندي Alpha A X و Y تلت مجهيل عندي تلت
+
+160
+00:22:13,300 --> 00:22:17,460
+مجهيل معناته .. هذه الحركة ايش نوعها؟ حركة مقيدة
+
+161
+00:22:17,460 --> 00:22:21,920
+معناته ممكن اوجد relations، لاحظ في علاقة بين A و
+
+162
+00:22:21,920 --> 00:22:30,040
+B يعني A B ايش هتكون؟ A B اتجاه اللي تحت هيكون،
+
+163
+00:22:30,040 --> 00:22:34,860
+صح؟ بتعمل زوا 45 درجة
+
+164
+00:22:39,240 --> 00:22:44,420
+بتساوى AA لليمين
+
+165
+00:22:44,420 --> 00:22:50,880
+زائد ABA
+
+166
+00:22:50,880 --> 00:22:59,140
+ABA في إيه لها two components واحدة normal هتكون
+
+167
+00:22:59,140 --> 00:23:01,420
+في اتجاه ال من B ل A
+
+168
+00:23:06,450 --> 00:23:14,990
+تلاتين درجة زائد ABA tangential
+
+169
+00:23:14,990 --> 00:23:20,750
+هتكون
+
+170
+00:23:20,750 --> 00:23:24,090
+هاي
+
+171
+00:23:24,090 --> 00:23:29,230
+اتجاهة هذه عمودي
+
+172
+00:23:29,230 --> 00:23:29,730
+على BA
+
+173
+00:23:33,720 --> 00:23:39,840
+هذه a, b, a tangential مع
+
+174
+00:23:39,840 --> 00:23:47,260
+الأفق بيعمل تلاتين هذي زوية المستوى خمسة و أربعين
+
+175
+00:23:47,260 --> 00:23:56,180
+نعم a,b النقطة b إذا سأت زوية a,b تلاتين يعني
+
+176
+00:23:56,180 --> 00:24:02,300
+اتجاه ال acceleration عند b بيعمل خمسة و أربعين
+
+177
+00:24:02,300 --> 00:24:09,030
+درجة اتجاه المستوىA بإتنجاشها هتكون عمودية على
+
+178
+00:24:09,030 --> 00:24:21,890
+الخط BA معناته بتكون تعمل مع الرأس تلاتين
+
+179
+00:24:21,890 --> 00:24:27,830
+طيب
+
+180
+00:24:27,830 --> 00:24:32,710
+هو released from rest يعني في اللحظة هذه ماكنلهوش
+
+181
+00:24:32,710 --> 00:24:38,060
+سرعةيعني ال normal هتكون إيش الساوية؟ صفر يعني a,b
+
+182
+00:24:38,060 --> 00:24:47,200
+,a normal بحالة عادة a,b,a normal omega square في
+
+183
+00:24:47,200 --> 00:24:54,600
+b,a اللي هي صفر في b,a بالساوية الصفر يعني هدا
+
+184
+00:24:54,600 --> 00:24:58,120
+هتكون بالساوية
+
+185
+00:24:58,120 --> 00:25:02,840
+الصفر طيب ال a,b,a tangential
+
+186
+00:25:08,510 --> 00:25:22,590
+بتسوى ألفة في BA صح؟ هتكون أربعة في ألفة يعني
+
+187
+00:25:22,590 --> 00:25:31,570
+هذه هتصفة اللي هو AA زائد
+
+188
+00:25:31,570 --> 00:25:35,830
+أربعة ألفة
+
+189
+00:25:43,470 --> 00:25:50,890
+تلاتين درجة يعني
+
+190
+00:25:50,890 --> 00:25:58,450
+لو عملت مثلث متجهات هاي
+
+191
+00:25:58,450 --> 00:26:03,270
+AA و
+
+192
+00:26:03,270 --> 00:26:03,690
+AB
+
+193
+00:26:13,560 --> 00:26:25,880
+وعندي اللي هى أربع ألفة بتعمل زوا تلاتين هذه
+
+194
+00:26:25,880 --> 00:26:37,000
+أربع ألفة صح؟ وهذه ايه بيه؟ هذه تلاتين درجة؟
+
+195
+00:26:37,000 --> 00:26:44,960
+ومعناته هذه أكم؟ ستين هذه أكم هتكون؟خمس و سبعين
+
+196
+00:26:44,960 --> 00:26:50,700
+معناته
+
+197
+00:26:50,700 --> 00:27:04,620
+هيكون عنداه AB على صين الستين هتكون تستغل AA
+
+198
+00:27:04,620 --> 00:27:07,800
+على
+
+199
+00:27:07,800 --> 00:27:09,200
+صين الخمس و سبعين
+
+200
+00:27:12,080 --> 00:27:24,440
+بسوة أربع ألفة على ال sign الخمسة وأربعين يعني
+
+201
+00:27:24,440 --> 00:27:30,300
+انا ممكن احكي انه انا عندى
+
+202
+00:27:30,300 --> 00:27:42,440
+ألفة او اي اي اللي بدنا هي اي ايبتساوي أربعة ألفة
+
+203
+00:27:42,440 --> 00:27:52,160
+sign الخمسة و سبعين على sign الخمسة و أربعين يعني
+
+204
+00:27:52,160 --> 00:27:59,220
+أكتر بتطلع؟
+
+205
+00:27:59,220 --> 00:28:16,900
+خمسة point أربعة ستة أربعة صح؟ستة أربعة ألف هذه
+
+206
+00:28:16,900 --> 00:28:25,820
+ال A A طيب
+
+207
+00:28:25,820 --> 00:28:30,540
+الآن معناته ال acceleration بتاع ال G ممكن أنسيبها
+
+208
+00:28:30,540 --> 00:28:34,820
+ل A برضه ال A G إيش بتساوي؟
+
+209
+00:28:37,790 --> 00:28:44,650
+الـ A G هي ك vector بالساوية
+
+210
+00:28:44,650 --> 00:28:50,310
+A A التي
+
+211
+00:28:50,310 --> 00:28:59,630
+هي اتجاهها زاد A G A التنجنشة هتكون بس زاد A G A
+
+212
+00:28:59,630 --> 00:29:05,050
+اتجاهها
+
+213
+00:29:05,050 --> 00:29:06,510
+التنجنشة
+
+214
+00:29:10,730 --> 00:29:24,730
+هتكون عمودية هتكون عاولة الزاوية تلاتين
+
+215
+00:29:24,730 --> 00:29:31,470
+مرة و ال
+
+216
+00:29:31,470 --> 00:29:38,980
+AGAتنجينشال قيمتها بتكون ساوية اتنين في الف صح GA
+
+217
+00:29:38,980 --> 00:29:50,320
+في الف اتنين في الف يعني هذه هتكون ساوية AA زائد
+
+218
+00:29:50,320 --> 00:29:58,360
+AA زائد
+
+219
+00:29:58,360 --> 00:29:59,180
+اتنين الف
+
+220
+00:30:08,930 --> 00:30:15,050
+واحنا عارفين ال a a قيمتها خمسة point يعني هتكون
+
+221
+00:30:15,050 --> 00:30:23,190
+ال a g هتكون
+
+222
+00:30:23,190 --> 00:30:31,350
+تساوي a a اللي هي خمسة point اربع ست اربع الف بهذا
+
+223
+00:30:31,350 --> 00:30:36,950
+الاتجاه صح؟ زائد اتنين الف
+
+224
+00:30:39,730 --> 00:30:49,910
+بزاوية تلاتين درجة معناته
+
+225
+00:30:49,910 --> 00:30:54,110
+احنا عملنا .. عملنا في الأول مركبتين واحدة ax
+
+226
+00:30:54,110 --> 00:31:02,850
+واحدة ايش ay معناته ال ax هتكون
+
+227
+00:31:02,850 --> 00:31:15,020
+خمسة point اربع ستة اربع الفناقص اتنين الف ال sign
+
+228
+00:31:15,020 --> 00:31:22,780
+التلاتين يعني هتكون اربعة point اربعة ستة اربعة
+
+229
+00:31:22,780 --> 00:31:32,920
+الف هذه ال ax ال ay بتساوي
+
+230
+00:31:32,920 --> 00:31:36,260
+اتنين
+
+231
+00:31:36,260 --> 00:31:36,600
+الف
+
+232
+00:31:41,450 --> 00:31:48,010
+التلاتين لتحت صح يعني
+
+233
+00:31:48,010 --> 00:31:59,270
+هتكون واحد سبعة تلات اتنين مظبوط الف لتحت لان انا
+
+234
+00:31:59,270 --> 00:32:01,390
+already فرضتها لتحت ال AY
+
+235
+00:32:06,600 --> 00:32:10,840
+لأن هعوض عن a x و a y في المعادلة دي في المعادلة
+
+236
+00:32:10,840 --> 00:32:22,700
+واحد هذه معادلة اتنين هذه معادلة تلاتة اعوض اتنين
+
+237
+00:32:22,700 --> 00:32:26,120
+تلاتة في واحد بالكسيراند اكس ستة وتمانين بون ستة
+
+238
+00:32:29,630 --> 00:32:40,390
+بالساوية اتنين point O سبعة ألفة زائد ستة point
+
+239
+00:32:40,390 --> 00:32:50,310
+تسعة تلاتة واحد ال AX اللي هي في أربعة point أربعة
+
+240
+00:32:50,310 --> 00:32:52,610
+ستة أربعة ألفة
+
+241
+00:32:55,340 --> 00:33:03,080
+زائد اتنين point ستة تمانية تسعة في ال AY اللي هي
+
+242
+00:33:03,080 --> 00:33:15,340
+واحد point سبعة تلات اتنين Alpha ومنها بحسب ال
+
+243
+00:33:15,340 --> 00:33:22,080
+Alpha منها
+
+244
+00:33:22,080 --> 00:33:23,060
+بحسب ال Alpha
+
+245
+00:33:40,140 --> 00:33:46,760
+نين point نين تسعة تسعة سفر رديان
+
+246
+00:33:46,760 --> 00:33:54,640
+كل second square هذا المطلوب الأول المطلوب التاني
+
+247
+00:33:54,640 --> 00:33:59,000
+ان نحسب ال reactions عند
+
+248
+00:33:59,000 --> 00:34:03,140
+A و B يعني بنحسب N A و N B
+
+249
+00:34:10,060 --> 00:34:14,100
+يعني اذا أخدت summation لل forces باتجاه ال X
+
+250
+00:34:14,100 --> 00:34:21,780
+بتروح لان A صح؟ summation لل forces باتجاه ال X
+
+251
+00:34:21,780 --> 00:34:25,720
+بالسوء
+
+252
+00:34:25,720 --> 00:34:32,640
+M Ax يعني هكون ND Cos 45
+
+253
+00:34:40,920 --> 00:34:50,720
+بالساوية اللي هي W على G في AX ال AX نحسبها هنا دي
+
+254
+00:34:50,720 --> 00:34:54,660
+ال AX بالساوية
+
+255
+00:34:54,660 --> 00:34:56,900
+اللي هي أربعة point أربعة ستة أربعة في ألفة أربعة
+
+256
+00:34:56,900 --> 00:35:00,300
+عشرة
+
+257
+00:35:00,300 --> 00:35:00,600
+point
+
+258
+00:35:07,450 --> 00:35:17,970
+اللي هي قدم على second تربيع والاي اللي
+
+259
+00:35:17,970 --> 00:35:26,510
+واحد point سبعة تلات اتنين في الف تلاتة
+
+260
+00:35:26,510 --> 00:35:31,050
+point قدم
+
+261
+00:35:31,050 --> 00:35:38,780
+لكل second تربيعالان ax اللي هي احنا حكينا في عشرة
+
+262
+00:35:38,780 --> 00:35:52,580
+point اتنين ستة اتنين ومنها بحسب ال nb بتساوي
+
+263
+00:35:52,580 --> 00:36:02,970
+خمسين في عشرة point اتنين ستة اتنينعلى نين و
+
+264
+00:36:02,970 --> 00:36:10,530
+تلاتين و اتنين من عشرة على كوسين الخمس و أربعين
+
+265
+00:36:10,530 --> 00:36:18,570
+اتنين و عشرين point found
+
+266
+00:36:25,680 --> 00:36:29,980
+عشان احسب ال NA باخد summation لل forces بالتجاه
+
+267
+00:36:29,980 --> 00:36:38,400
+ال Y بالثقام
+
+268
+00:36:38,400 --> 00:36:49,960
+AY التجاه ال Y عند NA minus
+
+269
+00:36:49,960 --> 00:36:54,640
+W زاد NB
+
+270
+00:36:57,770 --> 00:37:04,290
+Sin الخمسة و أربعين AY
+
+271
+00:37:04,290 --> 00:37:09,110
+لتحت جاي هتكون سالب ومحكت
+
+272
+00:37:09,110 --> 00:37:22,230
+كتير انا هيك موجة سالب اللي هي W على G في AY يعني
+
+273
+00:37:22,230 --> 00:37:22,670
+ال NA
+
+274
+00:37:26,580 --> 00:37:36,040
+هتكون تساوي W اللي هي خمسين زائد
+
+275
+00:37:36,040 --> 00:37:44,320
+minus ال NB اللي هي اتنين و عشرين اربعة
+
+276
+00:37:44,320 --> 00:37:48,080
+و خمسين sign الخمسة و اربعين
+
+277
+00:37:52,350 --> 00:37:57,850
+مينوس خمسين في ال AY اللي هي تلاتة بون تسعة تمانية
+
+278
+00:37:57,850 --> 00:38:01,990
+واحد على
+
+279
+00:38:01,990 --> 00:38:06,910
+اتنين و تلاتين و اتنين من عشران
+
+280
+00:38:23,710 --> 00:38:34,110
+سبعة و عشرين بقعد
+
+281
+00:38:34,110 --> 00:38:39,150
+في
+
+282
+00:38:39,150 --> 00:38:44,450
+أي سؤال؟ طيب هيك و نكون خلصنا نعطيكوا العافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/j5TucanPOXY_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/j5TucanPOXY_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..581cc2e14027ee9112f7d0ed3f64bc237d1a0a32
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/j5TucanPOXY_raw.srt
@@ -0,0 +1,1468 @@
+1
+00:00:05,580 --> 00:00:08,400
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,400 --> 00:00:12,400
+وبركاته هنكمل في مادة الديناميكا ال chapter التالت
+
+3
+00:00:12,400 --> 00:00:16,020
+kinetics of particles energy and momentum methods
+
+4
+00:00:16,020 --> 00:00:19,420
+المرة الفاترة حكينا اللي هو ال principle of work
+
+5
+00:00:19,420 --> 00:00:25,020
+and energy حكينا التغير في طاقة الحركة لجسم
+
+6
+00:00:25,020 --> 00:00:30,640
+بالساوية اللي هو ال work done من واحد لاثنين في
+
+7
+00:00:30,640 --> 00:00:37,180
+الفترة الممتدة من واحد لاثنينيعني T واحد بيساوي T
+
+8
+00:00:37,180 --> 00:00:41,200
+اتنين زي دي واحد ده اتنينو درسنا الشغل الناتج عن
+
+9
+00:00:41,200 --> 00:00:45,040
+أنواع مختلفة من القوة اول حالة انه في عندى جسم
+
+10
+00:00:45,040 --> 00:00:51,660
+بتحرك على خط مستقيم تحت أثير قوة F بتعمل زاوية
+
+11
+00:00:51,660 --> 00:00:56,980
+Alpha مع مسار الحركة ال work done by this force بس
+
+12
+00:00:56,980 --> 00:01:00,640
+هو F Cos Δ X يعني ال component بتاعة ال force اللى
+
+13
+00:01:00,640 --> 00:01:04,240
+فى اتجاه الإزاحة هي اللى تعمل شغل ال component فى
+
+14
+00:01:04,240 --> 00:01:09,550
+اتجاه المتعمد الإزاحة ما بتعمل شغلال gravity ال
+
+15
+00:01:09,550 --> 00:01:14,190
+work done بيساوي اللي هو minus w delta y يعني
+
+16
+00:01:14,190 --> 00:01:18,910
+الوزن نفسه إذا الجسم بنزل بيكون اللي بيساعدني
+
+17
+00:01:18,910 --> 00:01:24,150
+الوزن بيكون موجب إذا الجسم بيكون طالع الوزن بيكون
+
+18
+00:01:24,150 --> 00:01:30,110
+يشتغل ضد الجسم وزنه وبالتالي بيكون الشغل بالسلب في
+
+19
+00:01:30,110 --> 00:01:34,210
+حالة spring ال u واحد اتنين بيساوي نص K X واحد
+
+20
+00:01:34,210 --> 00:01:38,940
+تربيع minus نص K X اتنين تربيعفي حالة ال
+
+21
+00:01:38,940 --> 00:01:43,580
+gravitational force U1 ل 2 بيساوي G capital M
+
+22
+00:01:43,580 --> 00:01:50,400
+capital M small في 1 على R2 minus 1 على R1 و
+
+23
+00:01:50,400 --> 00:01:53,600
+ال principle of work and energy U1 ل 2 بيساوي T2
+
+24
+00:01:53,600 --> 00:02:01,060
+minus T1 او T1 زي U1 ل 2 بيساوي T2 يعني اذا اندي
+
+25
+00:02:01,060 --> 00:02:07,210
+جسم له طاقة حركة معينة و عملت اعطيته طاقةأو أخدت
+
+26
+00:02:07,210 --> 00:02:12,490
+منه طاقة، هغير أنا ياش طاقة حركته، ببساطة، اذا
+
+27
+00:02:12,490 --> 00:02:16,490
+بعطيله طاقة أو باخده طاقة، يا من برفع طاقة حركته
+
+28
+00:02:16,490 --> 00:02:17,390
+أو بنزلها
+
+29
+00:02:21,190 --> 00:02:26,130
+أعرفنا ال power اللي هي ال power هي معدل استهلاكنا
+
+30
+00:02:26,130 --> 00:02:30,750
+لياش للطاقة اللي هي rate of change of energy ال
+
+31
+00:02:30,750 --> 00:02:32,710
+efficiency اللي هي ال power output على ال power
+
+32
+00:02:32,710 --> 00:02:42,330
+input هنبدأ نحل أمثلة هنبدأ بمثال تلتاش واحد and
+
+33
+00:02:42,330 --> 00:02:45,630
+an automobile weighing four thousand pounds is
+
+34
+00:02:45,630 --> 00:02:50,340
+driven down a five degree inclineat a speed of
+
+35
+00:02:50,340 --> 00:02:54,740
+sixty miles per hour عندى سيارة وزنها أربعة آلاف
+
+36
+00:02:54,740 --> 00:02:59,560
+pound الوزن
+
+37
+00:02:59,560 --> 00:03:08,040
+أربعة آلاف pound ماشي على منحضر زاوية ميلو خمس
+
+38
+00:03:08,040 --> 00:03:17,270
+درجات زاوية ميلو منحضر خمس درجاتكانت في البداية
+
+39
+00:03:17,270 --> 00:03:24,070
+ماشية سرعة ستين mil .. بس يعني V واحد سوى ستين
+
+40
+00:03:24,070 --> 00:03:29,830
+mile per hour بس ده هو ال feet per second هضرب
+
+41
+00:03:29,830 --> 00:03:39,090
+ستين في اتنين و عشرين على خمستاش يعني تمانية و
+
+42
+00:03:39,090 --> 00:03:43,850
+تمانين قدم في الثانية
+
+43
+00:03:46,530 --> 00:03:49,770
+when the brakes are applied causing a constant
+
+44
+00:03:49,770 --> 00:03:52,510
+total braking force of fifteen hundred pounds
+
+45
+00:03:52,510 --> 00:03:58,490
+استخدم البركات طبعا البركات في القوة ناجعة ال
+
+46
+00:03:58,490 --> 00:04:01,550
+braking system ومقاومة الهواء ال total braking
+
+47
+00:04:01,550 --> 00:04:06,250
+force شاب لكل الاشي اللي بيبقى الحركة اللي هي F
+
+48
+00:04:06,250 --> 00:04:09,330
+بالساوية
+
+49
+00:04:09,330 --> 00:04:12,090
+الف خمسمية pound
+
+50
+00:04:15,690 --> 00:04:18,390
+determine the distance travelled by the automobile
+
+51
+00:04:18,390 --> 00:04:21,950
+as it comes to a stop اوجد المسافة لحد مشي السيارة
+
+52
+00:04:21,950 --> 00:04:33,270
+لحد التوقف يعني V2 ايه في الساوية؟ Zero أنا
+
+53
+00:04:33,270 --> 00:04:42,110
+هاي الجسم بيأثر
+
+54
+00:04:42,110 --> 00:04:42,430
+عليه
+
+55
+00:04:55,430 --> 00:05:08,270
+الوزن و في ايدي normal force and و I apply the
+
+56
+00:05:08,270 --> 00:05:11,970
+brake و السيارة هي ماشي لتحت مع أن ال braking
+
+57
+00:05:11,970 --> 00:05:22,110
+هتكون عكس الحركة هكون دي braking force صحيح
+
+58
+00:05:24,440 --> 00:05:27,640
+تكون قوة اتكار بس فهي عبارة عنها force يعني بتشك
+
+59
+00:05:27,640 --> 00:05:36,580
+في الآخر إعاقة الآن هو هيصير هيمشي
+
+60
+00:05:36,580 --> 00:05:43,200
+مسافة لحد التوقف يعني هتصير اتصل هنا السيارة مثلا
+
+61
+00:05:43,200 --> 00:05:52,040
+يعني
+
+62
+00:05:52,040 --> 00:05:53,560
+مشيت مسافة إيش؟
+
+63
+00:06:01,220 --> 00:06:09,860
+و تعتبر ال X مائل يعني ال X ياش
+
+64
+00:06:09,860 --> 00:06:12,420
+ال Y
+
+65
+00:06:20,720 --> 00:06:23,940
+ممكن انا استخدم ال principle of work and energy
+
+66
+00:06:23,940 --> 00:06:27,160
+هحكي ال T1 يعني عند هي ال position واحد هذا ال
+
+67
+00:06:27,160 --> 00:06:31,060
+position واحد هذا
+
+68
+00:06:31,060 --> 00:06:36,240
+ال position اتنين ال
+
+69
+00:06:36,240 --> 00:06:44,520
+T1 اللي هي kinetic energy في البداية زاد الشغل
+
+70
+00:06:44,520 --> 00:06:47,820
+الذول من واحد لاتنين من كل القوة المؤثرة على
+
+71
+00:06:47,820 --> 00:06:57,070
+السيارةهتغير ال kinetic energy ل T اتنين يعني
+
+72
+00:06:57,070 --> 00:07:02,390
+يعني بضيف energy او باطرح energy T واحد ايش ساوي
+
+73
+00:07:02,390 --> 00:07:06,570
+نص
+
+74
+00:07:06,570 --> 00:07:14,670
+ام V واحد تربيع يعني هتكون ساوية نص الام اللي هو
+
+75
+00:07:14,670 --> 00:07:16,230
+عبارة عن وزن اربعة تلاف
+
+76
+00:07:19,190 --> 00:07:26,470
+على جي اللي هي اتنين ثلاثين point اتنين صح في
+
+77
+00:07:26,470 --> 00:07:34,090
+V واحد تربيع اللي هي تمانية تمانين تربيع طيب T
+
+78
+00:07:34,090 --> 00:07:40,350
+اتنين ايش ساوي صفر لانه اتوقف مافيش حركة T اتنين
+
+79
+00:07:40,350 --> 00:07:44,230
+مستوى
+
+80
+00:07:44,230 --> 00:07:45,870
+Zero
+
+81
+00:07:49,490 --> 00:07:57,810
+طيب u واحد للتان في
+
+82
+00:07:57,810 --> 00:08:01,850
+الوزن هيكون
+
+83
+00:08:01,850 --> 00:08:07,650
+component w
+
+84
+00:08:07,650 --> 00:08:15,830
+sin theta صح؟ و عمود على السطح w
+
+85
+00:08:15,830 --> 00:08:22,150
+cosine thetaالان من ال force اللى احنا شايفينها او
+
+86
+00:08:22,150 --> 00:08:27,490
+مراكباتها ال normal force مابتعمل شغل لانها عموديه
+
+87
+00:08:27,490 --> 00:08:31,870
+ع المصارف و ال w cos θ ال component هذا مابتعمل
+
+88
+00:08:31,870 --> 00:08:37,150
+شغل اللي اشبه من الشغل ال w sin θ و ال f يعني
+
+89
+00:08:37,150 --> 00:08:49,630
+هتكون u 1 ل 2 w sin θ في delta x بالموجب صح ناقص
+
+90
+00:08:52,500 --> 00:09:02,580
+F Delta X يعني انا حاسين ان ال U واحد لاتنين هتكون
+
+91
+00:09:02,580 --> 00:09:17,020
+W اللي هي أربعة آلاف Sin الخمسة في Delta X ناقص
+
+92
+00:09:17,020 --> 00:09:25,420
+ال F الف و خمسميةفي delta X وينها بتطلع ياش يواحد
+
+93
+00:09:25,420 --> 00:09:31,340
+لاتنين اللي لها قيمة دلالة delta X حسبوليها انا
+
+94
+00:09:31,340 --> 00:09:38,460
+باجي اعوض هنا في اللي هي T واحد زاد يواحد لاتنين
+
+95
+00:09:38,460 --> 00:09:48,560
+ساوت تتنين T واحد اللي هي اكم طلعت اربعمية
+
+96
+00:09:48,560 --> 00:09:49,560
+و تمانين الف
+
+97
+00:09:54,370 --> 00:09:59,670
+تسعمية تلاتة و تسعية و هو ان سبعة و اتانية اربعة
+
+98
+00:09:59,670 --> 00:10:06,850
+سنة خالص ان انا اشوف انه سبعة و اتانية طيب الوحدات
+
+99
+00:10:06,850 --> 00:10:15,810
+بتاعتها pound force قدم و
+
+100
+00:10:15,810 --> 00:10:19,870
+ليه واحدة اتنينة كام سالم
+
+101
+00:10:27,970 --> 00:10:35,970
+نعوض عند ال T1 اللي هي 480000 9
+
+102
+00:10:35,970 --> 00:10:45,650
+9 4 زاد 1 اللي هي ناقص 1151 Delta X الساوياش 0
+
+103
+00:10:45,650 --> 00:10:56,120
+المنطقة Delta X هتكون 480000 994 ال 1151مش سالب
+
+104
+00:10:56,120 --> 00:11:00,640
+موجب 418
+
+105
+00:11:00,640 --> 00:11:09,980
+قدم المسافة هيمشي مسافة 480 قدم لحد التوقف لحد
+
+106
+00:11:09,980 --> 00:11:14,200
+التوقف يعني هنا أنا مالزم أني أحسب acceleration
+
+107
+00:11:14,200 --> 00:11:24,820
+تعملت مع masses مع صراعات مع forces مع مسافاتبس ما
+
+108
+00:11:24,820 --> 00:11:31,320
+لازمني أحس ب acceleration في اي سؤال؟ طب نشوف سؤال
+
+109
+00:11:31,320 --> 00:11:31,720
+تاني
+
+110
+00:11:54,000 --> 00:11:59,160
+زي ما تشايفين في عندي نظام
+
+111
+00:11:59,160 --> 00:12:05,620
+بكرات في block A مستقر على مستوى أفقي و ال block B
+
+112
+00:12:05,620 --> 00:12:10,820
+ممسوك بطرف اللي حابب بناء نقطة B الماس بتاعة A 200
+
+113
+00:12:10,820 --> 00:12:22,340
+kilogram م A 200 kilogram و م B 300
+
+114
+00:12:22,340 --> 00:12:22,940
+kilogram
+
+115
+00:12:31,390 --> 00:12:37,130
+الحبل بيمطش يعني بيبقى طول و ثابت if the system is
+
+116
+00:12:37,130 --> 00:12:41,590
+released from rest النظام أطلقناه من السكون ..
+
+117
+00:12:41,590 --> 00:12:47,510
+النظام أطلقناه من السكون يعني كانت .. نحكي كانت ..
+
+118
+00:12:47,510 --> 00:12:51,950
+كنا نشوف الأول إيش بالساوية؟ zero لل system
+
+119
+00:12:54,360 --> 00:12:56,880
+Determine the ballistic of block A after it has
+
+120
+00:12:56,880 --> 00:13:01,380
+moved two meters او جد صورة ال block A بعد مامشي
+
+121
+00:13:01,380 --> 00:13:12,940
+مسافة مترين يعني Delta X سوى اتنين متر Assume
+
+122
+00:13:12,940 --> 00:13:15,020
+that the coefficient of friction between the block
+
+123
+00:13:15,020 --> 00:13:18,680
+block A and the plane and the plane is point two
+
+124
+00:13:18,680 --> 00:13:25,510
+five المعامل احتجاج بين الجسم A والسطح الأفقيميو
+
+125
+00:13:25,510 --> 00:13:33,030
+كي في سابونت اتنين خمسة and that the pulley is
+
+126
+00:13:33,030 --> 00:13:36,490
+weightless and frictionless والبقرة وزنها مهمل
+
+127
+00:13:36,490 --> 00:13:43,930
+وفيش احتكاك لو بدأ اخد ال system انا اتنين مع بعض
+
+128
+00:13:43,930 --> 00:13:45,930
+هاي ايه
+
+129
+00:13:54,400 --> 00:14:05,600
+وهي ايش بي هكون عندى هنا مؤثر m a g فى normal
+
+130
+00:14:05,600 --> 00:14:09,440
+force يعنى صح وفى
+
+131
+00:14:09,440 --> 00:14:15,780
+عندى m b g
+
+132
+00:14:15,780 --> 00:14:20,680
+الشد مش باين لما بيطول الحالة دى قوة داخلية لأ
+
+133
+00:14:20,680 --> 00:14:24,720
+بحكي على الشد فى الحبليعتبر قوة داخلية اذا عملت
+
+134
+00:14:24,720 --> 00:14:28,280
+cut من هنا يعني انا اخدت جسم A لحاله و جسم B لحاله
+
+135
+00:14:28,280 --> 00:14:30,980
+بيبين tension بس بيكون عكس بعض بلغوا .. لما تجمعهم
+
+136
+00:14:30,980 --> 00:14:37,240
+مع بعض ايش؟ بلغوا بعض او بعض فالان في اشي تاني
+
+137
+00:14:37,240 --> 00:14:42,340
+عندى هيتحرك بهذه اتجاه الحركة هيتحرك بهذه الاتجاه
+
+138
+00:14:42,340 --> 00:14:50,120
+المعنى اللي هتكون عندى هنا ميو كي ان صح؟
+
+139
+00:14:53,800 --> 00:14:58,100
+هحكي انا ال T1 لل
+
+140
+00:14:58,100 --> 00:15:05,520
+system زاد U1 ل 2 هذا شو الساوي؟ T2 T1 شو الساوي؟
+
+141
+00:15:05,520 --> 00:15:13,360
+صفر طيب زاد U1 ل 2 ال N و ال MAG ما بيعملوا شغل
+
+142
+00:15:13,360 --> 00:15:17,600
+هتكون
+
+143
+00:15:17,600 --> 00:15:20,200
+عندي ال MBG اذا ماشيتها ال delta X هتمشي ورا ال
+
+144
+00:15:20,200 --> 00:15:23,080
+delta X لتحت صح؟ هتكون MB
+
+145
+00:15:25,780 --> 00:15:35,420
+G في Delta X الاحتكاك بعكسني ناقص
+
+146
+00:15:35,420 --> 00:15:44,140
+Mu K N Delta X بتساوي
+
+147
+00:15:44,140 --> 00:15:47,220
+T2
+
+148
+00:15:47,220 --> 00:15:54,940
+هكون نص M A V A و V B بناحية القيمة متساوية
+
+149
+00:15:57,500 --> 00:16:01,520
+بس ان ا ماشي بهذا الاتجاه و بيه ماشي بالاتجاه
+
+150
+00:16:01,520 --> 00:16:07,480
+التاني ف VA كقيمة
+
+151
+00:16:07,480 --> 00:16:20,940
+بيساوي VB يعني هيكون نص MA في VA خلنا نسميها VA
+
+152
+00:16:20,940 --> 00:16:24,560
+بيساوي VB بيساوي ايش V
+
+153
+00:16:27,000 --> 00:16:31,560
+هتكون نص M V2
+
+154
+00:16:31,560 --> 00:16:46,840
+تربيع زاد نص M ب V2 تربيع والان
+
+155
+00:16:46,840 --> 00:16:53,000
+اذا باخد تاني صمش الان اخدت ايه لحاله هتكون الان
+
+156
+00:16:53,000 --> 00:16:55,060
+بيستوى Mag صح؟ الان
+
+157
+00:16:58,510 --> 00:17:08,530
+بيستوى M A G M
+
+158
+00:17:08,530 --> 00:17:26,250
+B G U K M A G في Delta X سوية نص
+
+159
+00:17:29,560 --> 00:17:40,800
+مأ زاد مب في V2 تربيع يعني نيجي نعوض الآن عندي G
+
+160
+00:17:40,800 --> 00:17:46,020
+هتكون تسعة point تمانية سفر ستة في Delta X اللي هي
+
+161
+00:17:46,020 --> 00:17:55,400
+اتنين متر في مب اللي هي تلت مية ناقص مك point two
+
+162
+00:17:55,400 --> 00:18:01,770
+fiveفي ميتين حتساوى
+
+163
+00:18:01,770 --> 00:18:13,330
+نص في ميتين زائد تلت مية في V تنين تربعي وانا بحسب
+
+164
+00:18:13,330 --> 00:18:16,290
+ال V تنين
+
+165
+00:18:29,730 --> 00:18:35,670
+حد سؤال V2 على السريع
+
+166
+00:18:35,670 --> 00:18:47,690
+100
+
+167
+00:18:47,690 --> 00:18:51,630
+per
+
+168
+00:18:51,630 --> 00:18:55,210
+second طيب
+
+169
+00:18:55,210 --> 00:18:59,150
+شوف سؤال تالت
+
+170
+00:19:19,580 --> 00:19:23,560
+a spring is used to stop a sixty kilogram package
+
+171
+00:19:23,560 --> 00:19:29,880
+which is sliding on a horizontal surface عند
+
+172
+00:19:29,880 --> 00:19:33,800
+الزمبارك زي ما انتوا شايفين على اليمين الزمبارك
+
+173
+00:19:33,800 --> 00:19:38,220
+هذا مشدود بحبال وفي عند package الوزن بتاعها ستين
+
+174
+00:19:38,220 --> 00:19:43,540
+kilogram بدت عن بعث ستمية ملي متر من الزمبارك بدت
+
+175
+00:19:43,540 --> 00:19:47,560
+سرعة كانت اتنين ومصر متر على التانية طبعا هنبقى
+
+176
+00:19:47,560 --> 00:19:52,300
+لها ماشيةهتقف الزنبارك، الزنبارك هندغط لحد التوقف،
+
+177
+00:19:52,300 --> 00:19:57,220
+هعملها أياش؟ إيقاف، لأن ال package كتلتها ام ستين
+
+178
+00:19:57,220 --> 00:20:06,460
+kilogram ال
+
+179
+00:20:06,460 --> 00:20:08,820
+spring has a constant ال K تاع الزنبارك
+
+180
+00:20:13,830 --> 00:20:26,450
+عشرين كيلو نيوتن يعني عشرين الف نيوتن لكل متر and
+
+181
+00:20:26,450 --> 00:20:28,870
+is held by cables so that it is initially
+
+182
+00:20:28,870 --> 00:20:31,470
+compressed مية و عشرين ملي متر يعني كان في initial
+
+183
+00:20:31,470 --> 00:20:34,690
+compression هو مضغوط already فيه قوة مضغوط مية و
+
+184
+00:20:34,690 --> 00:20:35,190
+عشرين ملي
+
+185
+00:20:40,880 --> 00:20:47,780
+خدنا نسميها initial compression
+
+186
+00:20:47,780 --> 00:20:54,800
+اللي هو مائة و عشرين مليمتر
+
+187
+00:20:54,800 --> 00:20:57,900
+ال
+
+188
+00:20:57,900 --> 00:21:01,440
+package has a velocity of 2.5 meter per second in
+
+189
+00:21:01,440 --> 00:21:05,000
+the position shown في البداية كانت عند الموقع هذا
+
+190
+00:21:05,000 --> 00:21:21,510
+V1بسوة اتنين و نص متر لكل ثانية and the
+
+191
+00:21:21,510 --> 00:21:23,410
+max deflection of the spring is forty millimeters
+
+192
+00:21:23,410 --> 00:21:29,210
+لما خبطت في الزمباراك انضغط الزمباراك كمان اربعين
+
+193
+00:21:29,210 --> 00:21:33,310
+ملي متر يعني ان additional compression
+
+194
+00:21:37,300 --> 00:21:43,700
+لما نضغط عليه additional compression
+
+195
+00:21:43,700 --> 00:21:55,660
+اربعين millimeter اوجد
+
+196
+00:21:55,660 --> 00:22:02,860
+معامل احتكاك ديناميكي بين ال package والسطح الأفضل
+
+197
+00:22:05,340 --> 00:22:11,420
+الان لو بدى ارسم انا عندى فى البداية هى ال package
+
+198
+00:22:11,420 --> 00:22:15,640
+هى
+
+199
+00:22:15,640 --> 00:22:19,960
+دى position واحد هى
+
+200
+00:22:19,960 --> 00:22:25,440
+دى position واحد وهى
+
+201
+00:22:25,440 --> 00:22:25,900
+عندى هى
+
+202
+00:22:36,650 --> 00:22:43,230
+الـ spring و المسافة دي 600
+
+203
+00:22:43,230 --> 00:22:52,610
+ملي هو
+
+204
+00:22:52,610 --> 00:23:00,490
+هيظل ماشي هينضغط كمان هذا
+
+205
+00:23:00,490 --> 00:23:04,850
+position position
+
+206
+00:23:04,850 --> 00:23:05,230
+2
+
+207
+00:23:14,410 --> 00:23:18,910
+position two او اذا انتوا حابين اجزء المثل ع مرحل
+
+208
+00:23:18,910 --> 00:23:27,430
+تاني هي واحد اتنين تلاتة يعني اول فترة بيكون
+
+209
+00:23:27,430 --> 00:23:33,090
+الزنبارك مش موجود في الفترة التانية الزنبارك موجود
+
+210
+00:23:33,090 --> 00:23:38,230
+انا احزقها ع مرتين عشان تفهم التفاصيل يعني خلنا
+
+211
+00:23:38,230 --> 00:23:39,890
+احكي هذه تلاتة اسمها تلاتة
+
+212
+00:23:45,500 --> 00:23:54,580
+عندي اتنين تلاتة في الفترة من واحد لاتنين كان
+
+213
+00:23:54,580 --> 00:23:58,840
+الجسم
+
+214
+00:23:58,840 --> 00:24:04,260
+تحت أثير وزنه
+
+215
+00:24:04,260 --> 00:24:12,840
+وفيه رد فعل عمودي and و هذا اتجاه الحركة و في عند
+
+216
+00:24:12,840 --> 00:24:13,180
+اياش
+
+217
+00:24:16,810 --> 00:24:30,950
+الاحتكاك UKN صح طيب
+
+218
+00:24:30,950 --> 00:24:38,110
+انا حاجة احكي T1 زاد
+
+219
+00:24:38,110 --> 00:24:43,190
+U1 ل 2 بيساوي T2
+
+220
+00:24:46,520 --> 00:24:51,300
+T1 مش بيساوي نص
+
+221
+00:24:51,300 --> 00:25:04,000
+ام V1 تربيع يعني
+
+222
+00:25:04,000 --> 00:25:12,440
+انا حاكمه نص في ستين في اتنين و نص تربيع
+
+223
+00:25:15,100 --> 00:25:25,560
+يعني تلتين في ستة point اتنين في خمسة فكم؟ جول
+
+224
+00:25:25,560 --> 00:25:30,860
+T
+
+225
+00:25:30,860 --> 00:25:35,780
+اتنين ايش بتساوي؟
+
+226
+00:25:35,780 --> 00:25:47,630
+لأ مش شرط كنت مش عارفين سوى نصم V2 تربية هتكون
+
+227
+00:25:47,630 --> 00:26:02,370
+تلاتين V2 تربية طيب U 1 ل 2 الفرصة
+
+228
+00:26:02,370 --> 00:26:13,520
+بتعمل شغل بس الاحتكال هتكون minusميو كي في ان هكون
+
+229
+00:26:13,520 --> 00:26:24,280
+minus ميو كي في ان جي يعني
+
+230
+00:26:24,280 --> 00:26:34,720
+هتكون minus ستين في تسعة بون تمانية سفر ستة ميو كي
+
+231
+00:26:41,170 --> 00:26:48,950
+يعني ستة وتلاتين تسعة بتمانية أو ستة بتمانية
+
+232
+00:26:48,950 --> 00:27:01,610
+تمانية وأربعين ستة بتسعة تمانية وخمسين مظبوط
+
+233
+00:27:01,610 --> 00:27:07,130
+بال minus جول
+
+234
+00:27:10,480 --> 00:27:14,260
+في ال UK في
+
+235
+00:27:14,260 --> 00:27:23,240
+Delta X صحيح هنا تصليح هنا في Delta X وهنا في
+
+236
+00:27:23,240 --> 00:27:29,620
+Delta X هنا هكون في Delta X اللي هي إيش ستة من
+
+237
+00:27:29,620 --> 00:27:39,040
+عشرة معنات صحيح فالرقم هذا هيصير تلاتمية
+
+238
+00:27:45,280 --> 00:27:53,120
+بالظبط ميو كي صح يعني
+
+239
+00:27:53,120 --> 00:27:57,720
+انا حاول اعودي
+
+240
+00:27:57,720 --> 00:28:02,400
+واحد اللي هي مية و سبعة و تمانية و نص مية و سبعة و
+
+241
+00:28:02,400 --> 00:28:07,680
+تمانية و نص زاد
+
+242
+00:28:07,680 --> 00:28:12,380
+يواحد اتنين اللي هي minusتلاتين و تلاتة و خمسين
+
+243
+00:28:12,380 --> 00:28:29,100
+ميو كي بيساوي تتنين تلاتين V تنين تربيع ممكن
+
+244
+00:28:29,100 --> 00:28:34,220
+اخد الآن من اتنين لتلاتة من اتنين لتلاتة احكي
+
+245
+00:28:34,220 --> 00:28:34,720
+تتنين
+
+246
+00:28:38,180 --> 00:28:49,120
+زائد U اتنين لتلاتة بالساوي T تلاتة T اتنين عارفين
+
+247
+00:28:49,120 --> 00:28:54,540
+ها T تلاتة شو الساوي سكون
+
+248
+00:28:54,540 --> 00:29:02,180
+سفر بظبط U
+
+249
+00:29:02,180 --> 00:29:05,620
+اتنين لتلاتة
+
+250
+00:29:08,210 --> 00:29:13,470
+هيكون في الاحتكاك في
+
+251
+00:29:13,470 --> 00:29:27,330
+الاحتكاك اللي هو minus muk N في delta X بين اتنين
+
+252
+00:29:27,330 --> 00:29:32,870
+و تلاتة صح؟ زائد
+
+253
+00:29:38,290 --> 00:29:50,510
+الزمبرك نص ك اكس اتنين تربيع ناقص نص ك اكس ثلاث
+
+254
+00:29:50,510 --> 00:29:54,310
+تربيع صح
+
+255
+00:29:54,310 --> 00:29:59,470
+هذا هو نص زمبرك الآن
+
+256
+00:29:59,470 --> 00:30:02,570
+ال اكس اتنين خلنا نكتب هنا
+
+257
+00:30:06,200 --> 00:30:10,940
+الاكس اتنين اللي هي مية و عشرين زبارك قد مضغوط
+
+258
+00:30:10,940 --> 00:30:15,220
+يعني ان فيه energy ماخزونة اللي هي كمية نص اكس
+
+259
+00:30:15,220 --> 00:30:20,420
+اتنين تربيعي وعشان فيه energy ماخزونة فيها هيقوم
+
+260
+00:30:20,420 --> 00:30:24,080
+بنا اكتر عشان ذلك لازم اعمل حسابها اكس تلاتة ايش
+
+261
+00:30:24,080 --> 00:30:32,800
+الساوية بالساوية اكس اتنين زي دلتا اكس زي دلتا اكس
+
+262
+00:30:32,800 --> 00:30:34,460
+من اتنين
+
+263
+00:30:37,400 --> 00:30:43,660
+لتلاتة يعني هكوين دي ميو
+
+264
+00:30:43,660 --> 00:30:51,960
+.. يو مو عامل اتنى لتلاتة minus ميو كي
+
+265
+00:30:51,960 --> 00:30:55,420
+م جي
+
+266
+00:30:55,420 --> 00:31:00,560
+خلنا نسميها delta x خلنا نسميها delta x
+
+267
+00:31:10,020 --> 00:31:19,520
+زاد نص K اللي هي عشرين ألف في
+
+268
+00:31:19,520 --> 00:31:27,580
+عشرين
+
+269
+00:31:27,580 --> 00:31:35,220
+ألف في X2 تربيع X2
+
+270
+00:31:35,220 --> 00:31:43,830
+اللي هي أكم point1 2 تربية ماينوس اكس تلاتة اللي
+
+271
+00:31:43,830 --> 00:31:51,610
+هي عبارة عن point واحد اتنين زائد
+
+272
+00:31:51,610 --> 00:31:56,530
+دلتا اكس كله تربية صح؟
+
+273
+00:32:14,430 --> 00:32:26,750
+خلّيني في الأول أنا أبسط أكتر هذه x2
+
+274
+00:32:26,750 --> 00:32:39,890
+-x3 في x2 زائد x3 صح فارق المربع يعني x3
+
+275
+00:32:39,890 --> 00:32:47,070
+-x2 اللي هي delta x صحما نتحدث عن سيرو minus ميو
+
+276
+00:32:47,070 --> 00:32:53,890
+كي في ال M اللي هي ستين في تسعة بون تمانية سفر ستة
+
+277
+00:32:53,890 --> 00:32:58,010
+Delta X زائد
+
+278
+00:32:58,010 --> 00:33:06,790
+عشر تلاف X اتنين ناقص X تلاتة اللي هي minus Delta
+
+279
+00:33:06,790 --> 00:33:11,190
+X في
+
+280
+00:33:16,550 --> 00:33:22,190
+x2 اللي هي x3 بيصيرها دي x3 اللي هي عبارة عن بيصير
+
+281
+00:33:22,190 --> 00:33:27,410
+2x2 زي
+
+282
+00:33:27,410 --> 00:33:31,790
+delta x صح؟
+
+283
+00:33:31,790 --> 00:33:37,230
+لأن x3 بيصير x2 زي delta x فهوضه يعني x2 زي delta
+
+284
+00:33:37,230 --> 00:33:42,370
+x x2 مع x2 بيصير 2x2 زي delta x يعني هيكون عنده
+
+285
+00:33:52,790 --> 00:34:05,630
+ناقص اضرب وحدي في ميو
+
+286
+00:34:05,630 --> 00:34:13,610
+كيه Delta X ناقص
+
+287
+00:34:13,610 --> 00:34:20,390
+عشر تلاف Delta
+
+288
+00:34:20,390 --> 00:34:26,420
+Xاه لحظة هو ماعطينا ال .. ال additional هو ماعطينا
+
+289
+00:34:26,420 --> 00:34:33,800
+delta X أربعين اه معناته X تلاتة متكون مائة و
+
+290
+00:34:33,800 --> 00:34:40,000
+عشرين زاد أربعين مائة و ستين صح؟ معناته مافيش ده
+
+291
+00:34:40,000 --> 00:34:45,400
+على كل التبسيط هذا ده
+
+292
+00:34:45,400 --> 00:34:48,360
+هتكون عنده minus
+
+293
+00:34:57,090 --> 00:35:01,130
+بنعمل حساب يعني نص كيكس اتنين تربية نقص نص كيكس
+
+294
+00:35:01,130 --> 00:35:06,370
+تلاتة تربية هذا بيحكي انها معاكسة لو كانت العكس
+
+295
+00:35:06,370 --> 00:35:18,230
+كانت موجبة يعني هيكون minus ميو كي مج دلتا اكس
+
+296
+00:35:18,230 --> 00:35:26,550
+وعطينيها في دلتا اكس خد عاود دلتا اكس اللي هي اكم
+
+297
+00:35:28,620 --> 00:35:39,360
+اربعين في point O4 زائد عشر تلاف في point واحد
+
+298
+00:35:39,360 --> 00:35:50,440
+اتنين تربية نقص point واحد ستة تربية هذا U2 لتلاتة
+
+299
+00:35:59,850 --> 00:36:07,010
+عوضه minus mu k في ستين في تسعة point تمانية سفر
+
+300
+00:36:07,010 --> 00:36:16,690
+ستة في point o four زاد عشر تلاف في point واحد
+
+301
+00:36:16,690 --> 00:36:18,450
+تربيع نقص point واحد ستة تربيع
+
+302
+00:36:39,710 --> 00:36:46,970
+ماعش وان تلت تلتين كم؟ ماعش وان تلت تلتين انا
+
+303
+00:36:46,970 --> 00:36:51,810
+هاقوض فيها تتنين زي U تلت تلت تلت تلت تلت تلت تلت
+
+304
+00:36:51,810 --> 00:36:59,850
+تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت
+
+305
+00:36:59,850 --> 00:37:00,270
+تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت
+
+306
+00:37:00,270 --> 00:37:02,350
+تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت
+
+307
+00:37:02,350 --> 00:37:02,350
+تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت تلت
+
+308
+00:37:02,350 --> 00:37:13,900
+تلت تلت تلت تلت تلت تطب لي الرقم هذا 6.008.04 كلها
+
+309
+00:37:13,900 --> 00:37:23,560
+عمرها عشان 12.33 هادى هادى 23.53 ناقص 23.53 ميو
+
+310
+00:37:23,560 --> 00:37:31,420
+كيه زائد هذا الرقم السالب هذا مستحيل يكون موجب هذا
+
+311
+00:37:31,420 --> 00:37:33,020
+أصلا سالب
+
+312
+00:37:36,410 --> 00:37:42,850
+يعني السالب 112 بالساوية 0 وانا بعرف من هذه
+
+313
+00:37:42,850 --> 00:37:52,230
+المعادلة 30V2 بالساوية ايش 107.85-353MUK
+
+314
+00:37:52,230 --> 00:37:56,210
+-23
+
+315
+00:37:56,210 --> 00:38:05,610
+.53MUK-112 بالساوية 0 ومنها بحسب MUK
+
+316
+00:38:26,000 --> 00:38:28,960
+هذه الطريقة ممكن احل مباشرة بين واحد و تلاتة من
+
+317
+00:38:28,960 --> 00:38:35,840
+غير ماخش ع المرحلة اعملها مرحلتين احكي انه point
+
+318
+00:38:35,840 --> 00:38:49,320
+two طيب ممكن احل مباشر احكي
+
+319
+00:38:49,320 --> 00:38:58,760
+ان ال T واحدزاد U1 ل 3 بالساوية T3 T1 اللي اريد
+
+320
+00:38:58,760 --> 00:39:03,780
+احكيه هنا بالساوية T1 اللي هي مية و سبعة و تمانين
+
+321
+00:39:03,780 --> 00:39:13,480
+و نص جول و T3 مش الساوية صفر لان U1 ل 3 U1 ل 3
+
+322
+00:39:13,480 --> 00:39:17,420
+فعندي ست بيتمل ليه و الأربعين اللي احتيكي لك هيكون
+
+323
+00:39:17,420 --> 00:39:26,500
+minus ميو كيهاللي هي مج دلتاكس اللي هي ستمية واربع
+
+324
+00:39:26,500 --> 00:39:38,300
+اللي هي point six أربع صح؟ زائد نص ك X واحد تربيع
+
+325
+00:39:38,300 --> 00:39:47,840
+minus نص ك X تلاتة تربيع يعني هيكون عنده minus ميو
+
+326
+00:39:47,840 --> 00:39:55,610
+كضرب ستين ضرب تسعة point تمانية سفر ستة ضرب point
+
+327
+00:39:55,610 --> 00:40:05,450
+ستة أربعة زائد عشر تلاف اكس واحد ايش كانت مية و
+
+328
+00:40:05,450 --> 00:40:11,010
+عشرين point واحد اتنين تربيع هتدخل effect في
+
+329
+00:40:11,010 --> 00:40:18,930
+البنطقة هذه ناقص point واحد ستة تربيع
+
+330
+00:40:23,430 --> 00:40:34,990
+هذا كيف تطلع؟
+
+331
+00:40:34,990 --> 00:40:40,770
+الأول
+
+332
+00:40:40,770 --> 00:40:46,390
+حجب تلاتمية و ستة و سبعية هذا ناقص تلاتمية
+
+333
+00:40:52,610 --> 00:41:01,250
+ميو كي ناقص ناقص مية و اتناش صح؟ عوّد فيها دي عندك
+
+334
+00:41:01,250 --> 00:41:06,870
+T واحد اللي هي مية و سبعة و تمانين و نص ناقص تلت
+
+335
+00:41:06,870 --> 00:41:11,310
+مية و ستة و سبعين point six ميو كي ناقص مية و
+
+336
+00:41:11,310 --> 00:41:15,190
+اتناش ايش بالساوية بالساوية السفر و هنا بتحسب ايش
+
+337
+00:41:15,190 --> 00:41:19,090
+ال UK المفروض تطلع نفس الإجابة إذا انت عاد تقول
+
+338
+00:41:19,090 --> 00:41:19,770
+الأرقام صح
+
+339
+00:41:25,150 --> 00:41:28,210
+معناته في حساباتكو فيه إشغالات المهم ممكن تحسب
+
+340
+00:41:28,210 --> 00:41:35,270
+بالطريقة هذه طيب هذا المطلوب المطلوب التاني لأن
+
+341
+00:41:35,270 --> 00:41:42,130
+هتصل تنضغط سرعتك تتصل لل سفر بعدين زمبارك هيرجعها
+
+342
+00:41:42,130 --> 00:41:50,890
+تاني مظبوط؟ لأن طبعا هيرجعها تاني بس في احتكاك لأن
+
+343
+00:41:50,890 --> 00:41:55,640
+ايش السرعة لما تصل للموقع الأولاني؟هل هتكون نفس
+
+344
+00:41:55,640 --> 00:42:04,860
+السرعة ولا أقل؟ هتكون أقل لأنه هي في طول الفترة هي
+
+345
+00:42:04,860 --> 00:42:09,540
+رايحة هيك تفقد طاقة من الاحتكاك و هي راجع برضه
+
+346
+00:42:09,540 --> 00:42:13,800
+تفقد طاقة من الاحتكاك هتكون أقل بنات حاجة أحكينا U
+
+347
+00:42:13,800 --> 00:42:26,420
+لأ ماتكونش سفر U او T تلاتة زاد U تلاتة لواحدبديش
+
+348
+00:42:26,420 --> 00:42:35,420
+احكي تلاتة لاربعة لبطلة واحد تلاتة لاربعة تلاتة
+
+349
+00:42:35,420 --> 00:42:36,720
+لاربعة تلاتة لاربعة تلاتة لاربعة تلاتة لاربعة
+
+350
+00:42:36,720 --> 00:42:36,720
+تلاتة لاربعة تلاتة لاربعة تلاتة لاربعة تلاتة
+
+351
+00:42:36,720 --> 00:42:40,920
+لاربعة تلاتة لاربعة تلاتة لاربعة تلاتة لاربعة
+
+352
+00:42:40,920 --> 00:42:40,940
+تلاتة لاربعة تلاتة لاربعة تلاتة لاربعة تلاتة
+
+353
+00:42:40,940 --> 00:42:41,020
+لاربعة تلاتة لاربعة تلاتة لاربعة تلاتة لاربعة
+
+354
+00:42:41,020 --> 00:42:45,180
+تلاتة لاربعة تلاتة لاربعة تلاتة لاربعة تلاتة
+
+355
+00:42:45,180 --> 00:42:55,600
+لاربعة تلاتة لاربعة تلاتة لاربعة تلات
+
+356
+00:42:57,320 --> 00:43:03,700
+نص K X
+
+357
+00:43:03,700 --> 00:43:12,000
+تلاتة تربيع ناقص نص K X أربعة تربيع بيستوى T أربعة
+
+358
+00:43:12,000 --> 00:43:17,100
+نص M V أربعة تربيع
+
+359
+00:43:21,260 --> 00:43:25,900
+minus ميو كي احنا حكينا point اتنين مثلا point
+
+360
+00:43:25,900 --> 00:43:32,820
+اتنين صار معروف في ستين في تسعة point تمانية سفر
+
+361
+00:43:32,820 --> 00:43:42,800
+ستة في point ستة اربعة زائد الان X تلاتة ميو ستين
+
+362
+00:43:42,800 --> 00:43:44,420
+زاد عشر تلاف
+
+363
+00:43:47,790 --> 00:43:51,890
+لأن زبارة راجع لل original position فبساعدني في
+
+364
+00:43:51,890 --> 00:44:00,050
+point واحد ستة تربيع ناقص point واحد اتنين تربيع
+
+365
+00:44:00,050 --> 00:44:03,070
+بالساوية
+
+366
+00:44:03,070 --> 00:44:12,810
+نص تلاتين V أربع تربيع ومنها
+
+367
+00:44:12,810 --> 00:44:21,560
+بحسبV4 المفروض تطلع أقل من V1
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/mfpxSGdTvbQ_raw.json b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/mfpxSGdTvbQ_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..3f6de39fb3a434c7194a289ed75ea2101e3fb612
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/mfpxSGdTvbQ_raw.json
@@ -0,0 +1 @@
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"end": 142.62, "text": "إذا خط عمل التصادم بمرش أحد مركزي ثقة لجسمان بيسميه أيش؟ تصادم غير مركزي eccentric impact", "tokens": [28814, 15730, 16490, 9566, 6225, 42213, 16712, 9381, 18513, 2304, 4724, 29973, 8592, 5551, 24401, 3714, 31747, 11622, 1829, 38637, 28671, 5296, 7435, 38251, 7649, 4724, 1829, 38251, 1829, 3224, 36632, 8592, 22807, 6055, 9381, 18513, 2304, 32771, 13546, 3714, 31747, 11622, 1829, 42629, 2712], "avg_logprob": -0.14495584627856378, "compression_ratio": 1.264957264957265, "no_speech_prob": 0.0, "words": [{"start": 130.66, "end": 131.16, "word": "إذا", "probability": 0.927490234375}, {"start": 131.16, "end": 131.98, "word": " خط", "probability": 0.993896484375}, {"start": 131.98, "end": 132.34, "word": " عمل", "probability": 0.98876953125}, {"start": 132.34, "end": 133.14, "word": " التصادم", "probability": 0.9459228515625}, {"start": 133.14, "end": 134.54, "word": " بمرش", "probability": 0.8310546875}, {"start": 134.54, "end": 135.96, "word": " أحد", "probability": 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إذا بعود عن u في البسط وفي المقام و بعمل تبسيط بتصفي عندي المعادلة هذه اللي هي vb prime minus va prime بيساوي minus e في vb minus va يعني حركة سرعة b بالنسبة ليه بعد التصادم بيساوي minus a", "tokens": [40228, 22653, 8978, 9673, 3615, 18513, 37977, 29538, 13672, 1829, 39896, 257, 4724, 1829, 3794, 995, 45865, 371, 65, 5835, 3175, 344, 15844, 344, 3175, 371, 65, 11933, 15730, 45030, 23328, 18871, 344, 8978, 29739, 3794, 9566, 4032, 41185, 9673, 4587, 10943, 4032, 4724, 25957, 1211, 6055, 3555, 3794, 1829, 9566, 39894, 9381, 41185, 18871, 16254, 9673, 3615, 18513, 37977, 29538, 13672, 1829, 39896, 371, 65, 5835, 3175, 2773, 5835, 4724, 1829, 3794, 995, 45865, 3175, 308, 8978, 371, 65, 3175, 2773, 37495, 22653, 11331, 31747, 3660, 8608, 2288, 27884, 272, 20666, 1863, 35457, 3660, 32239, 3224, 39182, 16712, 9381, 18513, 2304, 4724, 1829, 3794, 995, 45865, 3175, 257], "avg_logprob": -0.17088068398562345, "compression_ratio": 1.9949748743718594, "no_speech_prob": 0.0, "words": [{"start": 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"seek": 152022, "start": 1494.58, "end": 1520.22, "text": "كانت سرعتها ايش؟ V الكورة ال V بتعمل زاوية تلاتين درجة مع الأفقي knowing that بعامل ارتداد E بساوي تسعة من عشرة", "tokens": [41361, 2655, 8608, 2288, 34268, 11296, 1975, 1829, 8592, 22807, 691, 33251, 13063, 3660, 2423, 691, 39894, 25957, 1211, 30767, 995, 2407, 10632, 6055, 1211, 9307, 9957, 11778, 47341, 3660, 20449, 16247, 5172, 38436, 5276, 300, 4724, 3615, 10943, 1211, 1975, 43500, 3215, 18513, 462, 4724, 3794, 995, 45865, 6055, 3794, 27884, 9154, 6225, 8592, 25720], "avg_logprob": -0.3053727986519797, "compression_ratio": 1.326241134751773, "no_speech_prob": 0.0, "words": [{"start": 1494.58, "end": 1495.02, "word": "كانت", "probability": 0.5035400390625}, {"start": 1495.02, "end": 1495.38, "word": " سرعتها", "probability": 0.807373046875}, {"start": 1495.38, "end": 1496.26, "word": " ايش؟", "probability": 0.6290283203125}, {"start": 1496.26, "end": 1496.56, "word": " V", "probability": 0.77587890625}, {"start": 1496.56, 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"foot per second لأعلى هزبوت هاد ال V بيتنجلش ال prime الان فيه تنين مع بعض فيه conservation along ال normal direction فيه conservation along ال normal direction معناه تحكوا أن عندي M VA cosine التلاتين", "tokens": [13498, 680, 1150, 5296, 10721, 3615, 23942, 8032, 11622, 3555, 35473, 8032, 18513, 2423, 691, 4724, 36081, 1863, 7435, 1211, 8592, 2423, 5835, 2423, 7649, 8978, 3224, 6055, 1863, 9957, 20449, 45030, 11242, 8978, 3224, 16185, 2051, 2423, 2710, 3513, 8978, 3224, 16185, 2051, 2423, 2710, 3513, 20449, 8315, 3224, 6055, 5016, 4117, 14407, 14739, 18871, 16254, 376, 18527, 23565, 16712, 1211, 9307, 9957], "avg_logprob": -0.46634615384615385, "compression_ratio": 1.5714285714285714, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2161.5299999999997, "end": 2162.43, "word": "foot", "probability": 0.2366943359375}, {"start": 2162.43, "end": 2163.33, "word": " per", "probability": 0.92138671875}, {"start": 2163.33, "end": 2163.81, "word": " second", "probability": 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2500.77, "end": 2501.25, "word": " أسطاش", "probability": 0.478424072265625}, {"start": 2501.25, "end": 2504.77, "word": " وفيه", "probability": 0.7288411458333334}, {"start": 2504.77, "end": 2505.21, "word": " number", "probability": 0.1566162109375}, {"start": 2505.21, "end": 2505.57, "word": " جايب", "probability": 0.7569986979166666}, {"start": 2505.57, "end": 2505.93, "word": " العكس", "probability": 0.7997233072916666}, {"start": 2505.93, "end": 2506.05, "word": " اللي", "probability": 0.772705078125}, {"start": 2506.05, "end": 2506.13, "word": " أنا", "probability": 0.435791015625}, {"start": 2506.13, "end": 2506.63, "word": " سالب", "probability": 0.7498372395833334}, {"start": 2506.63, "end": 2509.57, "word": " هذا", "probability": 0.6533203125}, {"start": 2509.57, "end": 2509.91, "word": " a", "probability": 0.486328125}, {"start": 2509.91, "end": 2511.95, "word": " هذا", "probability": 0.8544921875}, {"start": 2511.95, "end": 2512.45, "word": " va", "probability": 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0.349853515625}, {"start": 2526.77, "end": 2527.45, "word": " tangential", "probability": 0.966552734375}], "temperature": 1.0}, {"id": 90, "seek": 256125, "start": 2535.49, "end": 2561.25, "text": "prime و في vp normal prime جه هذا الاتجاه هذا هتكون vp normal prime", "tokens": [1424, 1312, 4032, 8978, 371, 79, 2710, 5835, 10874, 3224, 23758, 2423, 9307, 7435, 40294, 23758, 8032, 2655, 30544, 371, 79, 2710, 5835], "avg_logprob": -0.3597005332509677, "compression_ratio": 1.2162162162162162, "no_speech_prob": 0.0, "words": [{"start": 2535.4900000000002, "end": 2536.65, "word": "prime", "probability": 0.6195068359375}, {"start": 2536.65, "end": 2537.81, "word": " و", "probability": 0.71044921875}, {"start": 2537.81, "end": 2537.99, "word": " في", "probability": 0.57763671875}, {"start": 2537.99, "end": 2538.49, "word": " vp", "probability": 0.494384765625}, {"start": 2538.49, "end": 2540.33, "word": " normal", "probability": 0.73291015625}, {"start": 2540.33, "end": 2547.11, "word": " prime", "probability": 0.5185546875}, {"start": 2547.11, "end": 2547.55, "word": " جه", "probability": 0.824462890625}, {"start": 2547.55, "end": 2547.69, "word": " هذا", "probability": 0.322998046875}, {"start": 2547.69, "end": 2548.15, "word": " الاتجاه", "probability": 0.89208984375}, {"start": 2548.15, "end": 2557.11, "word": " هذا", "probability": 0.497314453125}, {"start": 2557.11, "end": 2557.61, "word": " هتكون", "probability": 0.9459635416666666}, {"start": 2557.61, "end": 2559.95, "word": " vp", "probability": 0.8203125}, {"start": 2559.95, "end": 2560.87, "word": " normal", "probability": 0.818359375}, {"start": 2560.87, "end": 2561.25, "word": " prime", "probability": 0.89111328125}], "temperature": 1.0}, {"id": 91, "seek": 257975, "start": 2563.07, "end": 2579.75, "text": "كم من الناس اللي هحسبوه القيام و الزوايا هسميها هذه alpha اد beta تحسبوا alpha او beta كملوا اتأكدوا من الأرقام و اللي تجه هذا تبكوا العافية", "tokens": [24793, 9154, 2423, 8315, 3794, 13672, 1829, 8032, 5016, 35457, 2407, 3224, 25062, 1829, 10943, 4032, 6024, 110, 14407, 25528, 8032, 38251, 1829, 11296, 29538, 8961, 1975, 3215, 9861, 6055, 5016, 35457, 14407, 8961, 1975, 2407, 9861, 9122, 42213, 14407, 1975, 2655, 10721, 4117, 3215, 14407, 9154, 16247, 2288, 4587, 10943, 4032, 13672, 1829, 6055, 7435, 3224, 23758, 6055, 3555, 4117, 14407, 18863, 31845, 10632], "avg_logprob": -0.3641098579674056, "compression_ratio": 1.6275862068965516, "no_speech_prob": 0.0, "words": [{"start": 2563.07, "end": 2563.35, "word": "كم", "probability": 0.77294921875}, {"start": 2563.35, "end": 2563.47, "word": " من", "probability": 0.83642578125}, {"start": 2563.47, "end": 2563.63, "word": " الناس", "probability": 0.9324544270833334}, {"start": 2563.63, "end": 2563.79, "word": " اللي", "probability": 0.73974609375}, {"start": 2563.79, "end": 2564.39, "word": " هحسبوه", "probability": 0.7978515625}, {"start": 2564.39, "end": 2564.91, "word": " القيام", "probability": 0.9625651041666666}, {"start": 2564.91, "end": 2565.17, "word": " و", "probability": 0.384765625}, {"start": 2565.17, "end": 2565.69, "word": " الزوايا", "probability": 0.92529296875}, {"start": 2565.69, "end": 2566.45, "word": " هسميها", "probability": 0.8299560546875}, {"start": 2566.45, "end": 2566.69, "word": " هذه", "probability": 0.25439453125}, {"start": 2566.69, "end": 2568.03, "word": " alpha", "probability": 0.496826171875}, {"start": 2568.03, "end": 2569.25, "word": " اد", "probability": 0.265960693359375}, {"start": 2569.25, "end": 2570.57, "word": " beta", "probability": 0.6796875}, {"start": 2570.57, "end": 2571.13, "word": " تحسبوا", "probability": 0.773681640625}, {"start": 2571.13, "end": 2571.35, "word": " alpha", "probability": 0.53759765625}, {"start": 2571.35, "end": 2571.49, "word": " او", "probability": 0.708251953125}, {"start": 2571.49, "end": 2571.79, "word": " beta", "probability": 0.93115234375}, {"start": 2571.79, "end": 2572.87, "word": " كملوا", "probability": 0.8191731770833334}, {"start": 2572.87, "end": 2573.31, "word": " اتأكدوا", "probability": 0.8295084635416666}, {"start": 2573.31, "end": 2573.37, "word": " من", "probability": 0.771484375}, {"start": 2573.37, "end": 2573.87, "word": " الأرقام", "probability": 0.9210205078125}, {"start": 2573.87, "end": 2576.19, "word": " و", "probability": 0.58544921875}, {"start": 2576.19, "end": 2577.09, "word": " اللي", "probability": 0.689453125}, {"start": 2577.09, "end": 2577.53, "word": " تجه", "probability": 0.668212890625}, {"start": 2577.53, "end": 2577.81, "word": " هذا", "probability": 0.408203125}, {"start": 2577.81, "end": 2579.43, "word": " تبكوا", "probability": 0.557525634765625}, {"start": 2579.43, "end": 2579.75, "word": " العافية", "probability": 0.6878255208333334}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2579.9925, "duration_after_vad": 2332.53062499999}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/mfpxSGdTvbQ_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/mfpxSGdTvbQ_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f2c5e891def7383a7929f01d90d63b3fce1eb3e8
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/mfpxSGdTvbQ_raw.srt
@@ -0,0 +1,1640 @@
+1
+00:00:05,010 --> 00:00:07,970
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,970 --> 00:00:13,010
+وبركاته هنكمل في مادة الديناميكا شقطر التالت اللي
+
+3
+00:00:13,010 --> 00:00:16,390
+هي energy and momentum method المره فتحكينا عن ال
+
+4
+00:00:16,390 --> 00:00:19,870
+principle of impulse and momentum اليوم هنكمل في
+
+5
+00:00:19,870 --> 00:00:24,710
+موضوع التصادمات ال impact الآن
+
+6
+00:00:24,710 --> 00:00:29,270
+التصادمات عادة بيصير إذا عند جسمين تصادم بيصير على
+
+7
+00:00:29,270 --> 00:00:36,260
+فترة زمنيةقصيرة خلال هذه الفترة الزمنية الجسمين
+
+8
+00:00:36,260 --> 00:00:40,580
+بيأثروا على بعض بقوة كبيرة نسبيا لان تحكي قوة
+
+9
+00:00:40,580 --> 00:00:48,040
+كبيرة نسبيا في فترة زمنية قصيرة الان عند جسمين هي
+
+10
+00:00:48,040 --> 00:00:52,360
+عند جسم a
+
+11
+00:00:52,360 --> 00:00:57,820
+و b فعند هذا الخط بيسميه خط التصادم line of impact
+
+12
+00:00:57,820 --> 00:01:04,590
+و هذا الخط العمود عليه اللي هوTangent لتو bodies،
+
+13
+00:01:04,590 --> 00:01:10,810
+tangent بيكون عمودي على ال line of impact في
+
+14
+00:01:10,810 --> 00:01:16,130
+central impact و في eccentric impact، central
+
+15
+00:01:16,130 --> 00:01:24,680
+impact يعني خطعمل التصادم بيمر في مركزي ثقل
+
+16
+00:01:24,680 --> 00:01:30,180
+الجسمين هذا بيكون تصادم مركزي خط عمل التصادم مر في
+
+17
+00:01:30,180 --> 00:01:37,200
+مراكز ثقل الجسمين بيكون direct central impact لما
+
+18
+00:01:37,200 --> 00:01:42,960
+تكون سرعة الجسم A و سرعة الجسم B على نفس خط عمل
+
+19
+00:01:42,960 --> 00:01:48,440
+التصادم على نفس خط عمل التصادمبيكون oblique ال
+
+20
+00:01:48,440 --> 00:01:53,000
+central impact لما خط عمل التصادم بمر في مركزي ثقة
+
+21
+00:01:53,000 --> 00:02:00,100
+لجسميا لكن أحد الصراعتين لاقعو بيعمل زاوية مع خط
+
+22
+00:02:00,100 --> 00:02:04,140
+عمل التصادم بسمه الحديث oblique central impact
+
+23
+00:02:10,660 --> 00:02:17,720
+إذا خط عمل التصادم بمرش أحد مركزي ثقة لجسمان
+
+24
+00:02:17,720 --> 00:02:22,620
+بيسميه أيش؟ تصادم غير مركزي eccentric impact
+
+25
+00:02:28,950 --> 00:02:32,430
+هذا حكيناه خينا ندرس اللي هو اول حالة direct
+
+26
+00:02:32,430 --> 00:02:37,990
+central impact تصادم مركزي مباشر تصادم مركزي مباشر
+
+27
+00:02:37,990 --> 00:02:43,150
+يعني اول شي خط عمل التصادم بمورفي مركزي ثقل
+
+28
+00:02:43,150 --> 00:02:50,010
+الجسمين هاي واحد اتنيناتجاه الصراعات الجسمين على
+
+29
+00:02:50,010 --> 00:02:55,870
+نفس جاي خط عمل التصادم يعني عندها جسمين جسم A و
+
+30
+00:02:55,870 --> 00:03:05,650
+جسم B طبعا V A أكبر من V B يعني A أسرع من B عشان
+
+31
+00:03:05,650 --> 00:03:08,670
+يصير تصادم لو ماكانش أسرع ما .. ماحيصير تصادم
+
+32
+00:03:08,670 --> 00:03:13,490
+فأولش عندي two bodies بتحرك ب straight line صرعة A
+
+33
+00:03:13,490 --> 00:03:16,530
+أ .. أ .. أعلى من B فحيصير بينهم استضان
+
+34
+00:03:22,260 --> 00:03:26,000
+الان في عملية التصادم ممكن اقسم فترة التصادم
+
+35
+00:03:26,000 --> 00:03:32,180
+لمرحلتين فترة التصادم لمرحلتين فترة ال deformation
+
+36
+00:03:32,180 --> 00:03:35,980
+و فترة الاسترجاع فترة ال deformation ان جسمين
+
+37
+00:03:35,980 --> 00:03:41,680
+بخبطوا بعض و بضغطوا بعض هذا ال deformation او فترة
+
+38
+00:03:41,680 --> 00:03:46,480
+الانضغاط بعدين لسه فيه تلامس ماببدا يشيخف الانضغاط
+
+39
+00:03:46,480 --> 00:03:53,820
+يعني في عنده انضغاطو استرجاع يعني تخيلوا كأنه مطاط
+
+40
+00:03:53,820 --> 00:04:01,240
+مطاط مطاط أولها انضغطه بعدين بدأ يخفف الضغط في
+
+41
+00:04:01,240 --> 00:04:04,100
+المرح .. يعني المرحلتين بيكون الجسمين متلامسين بس
+
+42
+00:04:04,100 --> 00:04:09,540
+يبقى قسم period of deformation اللي في نهايتها
+
+43
+00:04:09,540 --> 00:04:15,880
+الجسمين في حالة تلامس له نفس السرعة لحظيا له نفس
+
+44
+00:04:15,880 --> 00:04:23,320
+السرعة لحظياperiod of restitution اللي هي بدايتها
+
+45
+00:04:23,320 --> 00:04:27,360
+بتكون نهاية مرحلة deformation و نهايتها جسميا
+
+46
+00:04:27,360 --> 00:04:30,480
+بيبدوا ينفصلوا عن بعض، بيبدوا ينفصلوا عن بعض و كل
+
+47
+00:04:30,480 --> 00:04:35,000
+واحد بتحرك بسرعته الخاصة، معناته مرحلة تصادم اللي
+
+48
+00:04:35,000 --> 00:04:38,720
+هي period of deformation و period of restitution
+
+49
+00:04:44,760 --> 00:04:48,240
+ال total momentum of the two body system is
+
+50
+00:04:48,240 --> 00:04:55,220
+preserved يعني الزخم الكل يلجس فيه مع بعض محفوظ
+
+51
+00:04:55,220 --> 00:04:59,520
+اللي بيروح من هنا بيروح يعني بنتقل من بس من هنا
+
+52
+00:04:59,520 --> 00:05:04,800
+مكان بس ال total إيهاش موجود محفوظ معناته هتكون
+
+53
+00:05:04,800 --> 00:05:08,960
+الزخم الخط قبل اتصادهم بيستوظ الزخم الخط اللي
+
+54
+00:05:08,960 --> 00:05:14,570
+بعتصادهم الاتنين مع بعض يعني هتكون عندي MAVA زي مب
+
+55
+00:05:14,570 --> 00:05:20,370
+VB بيستوى MA VA Prime زي MB VB Prime لأن الصراعات
+
+56
+00:05:20,370 --> 00:05:23,130
+بين اتصالهم هي VA Prime و VB Prime مش معروفين وانا
+
+57
+00:05:23,130 --> 00:05:26,550
+عندي لحد دلوقتي معادلة واحدة معناته عندي مجهولين
+
+58
+00:05:26,550 --> 00:05:29,610
+مش كاف مدياش معادلة تانية
+
+59
+00:05:32,500 --> 00:05:37,380
+محتاج لمعادلة تانية الان يعني المعادلة التانية
+
+60
+00:05:37,380 --> 00:05:41,060
+هجيبها من خلال ما يسمى معامل الارتداد معامل
+
+61
+00:05:41,060 --> 00:05:47,900
+الارتداد الان لو خدت جسم A يعني حكينا فينا فترة
+
+62
+00:05:47,900 --> 00:05:52,420
+اتصالهم فترة تانية فترة ال deformation و فترة
+
+63
+00:05:52,420 --> 00:05:58,440
+restitution فترة ال deformation بيكون B يعني في
+
+64
+00:05:58,440 --> 00:06:03,360
+البداية .. في بداية ال deformation بيكون جسم Aالو
+
+65
+00:06:03,360 --> 00:06:08,980
+زخم M A V A صح هذا البداية يعني لسه just before
+
+66
+00:06:08,980 --> 00:06:14,860
+contact خلال فترة deformation بتأثر فيه impulse من
+
+67
+00:06:14,860 --> 00:06:20,100
+B على A من B على A اللي هو تكامل P D T طبعا ال
+
+68
+00:06:20,100 --> 00:06:23,660
+force متغيرة بتكون خلال فترة ال deformation ففيه
+
+69
+00:06:23,660 --> 00:06:29,450
+impulseمن B على A اللي هو تكامل PDT في نهاية ال
+
+70
+00:06:29,450 --> 00:06:34,610
+deformation period اليسمين بتحركوا او ال A بتحرك
+
+71
+00:06:34,610 --> 00:06:39,510
+بسرعة U اللي هي هذه السرعة في نهاية فترة ال
+
+72
+00:06:39,510 --> 00:06:42,250
+deformation if I apply the principle of impulse
+
+73
+00:06:42,250 --> 00:06:46,510
+and momentum هيكون ال initial momentum زاد ال
+
+74
+00:06:46,510 --> 00:06:51,290
+impulse واحد لاتنين بساوي اللي هي ال momentum
+
+75
+00:06:51,290 --> 00:06:56,540
+النهائية هيكون M A V Aالان لاحظوا ال inverse على
+
+76
+00:06:56,540 --> 00:07:03,020
+العكس جاي minus تكامل P D T بيستوى M A في U M A في
+
+77
+00:07:03,020 --> 00:07:11,440
+U الان في فترة ال deformation بيكون الجسم A متحرك
+
+78
+00:07:11,440 --> 00:07:14,340
+بسرعة U بداية ال deformation اللي هي نهاية ايش
+
+79
+00:07:14,340 --> 00:07:17,500
+بداية ال restitution اللي هي نهاية ال deformation
+
+80
+00:07:17,500 --> 00:07:24,440
+بيكون في force من B على Aاللي هي تكامل .. او في
+
+81
+00:07:24,440 --> 00:07:31,640
+عندي دفع من B على A اللي هو تكامل RDT في نهاية ال
+
+82
+00:07:31,640 --> 00:07:35,620
+period of restitution خلاص الجسم A بتحرك بسرعة VA
+
+83
+00:07:35,620 --> 00:07:41,380
+prime فبيكون له زخم MA VA prime if I apply
+
+84
+00:07:41,380 --> 00:07:43,700
+principle of impulse momentum على فترة ال
+
+85
+00:07:43,700 --> 00:07:48,400
+restitution هكون عندي MAU minus تكامل RDT بيسوا MA
+
+86
+00:07:48,400 --> 00:07:50,220
+VA prime
+
+87
+00:07:53,340 --> 00:08:01,020
+الان معامل ارتداد يعرف انه هو ال impulse خلال فترة
+
+88
+00:08:01,020 --> 00:08:06,040
+ال restitution على ال impulse خلال فترة ال
+
+89
+00:08:06,040 --> 00:08:12,500
+deformation يعني المرحلتين اللي هيكون عندي من
+
+90
+00:08:12,500 --> 00:08:20,540
+الأولى هيكون عندي تكامل ال
+
+91
+00:08:20,540 --> 00:08:21,400
+P D T
+
+92
+00:08:24,240 --> 00:08:33,180
+بساوة دول الطرفين minus minus هيكون M A V
+
+93
+00:08:33,180 --> 00:08:40,600
+A minus M A U
+
+94
+00:08:40,600 --> 00:08:49,260
+و التكامل ل R D T بساوة M A U
+
+95
+00:08:52,730 --> 00:09:05,370
+-MA VA' معناته معاملة E بساوية تكامل R DT على
+
+96
+00:09:05,370 --> 00:09:13,050
+تكامل P DT يعني هيكون VA-U
+
+97
+00:09:13,050 --> 00:09:17,170
+على U-VA'
+
+98
+00:09:28,350 --> 00:09:37,470
+طيب لو دراست جسم B بنفس الطريقة فترة
+
+99
+00:09:37,470 --> 00:09:43,450
+الدراس جسم B فترة ال deformation بفترة ال
+
+100
+00:09:43,450 --> 00:09:48,490
+restitution و حسبت E بنفس الطريقة هتكون E اللي هي
+
+101
+00:09:48,490 --> 00:09:55,590
+تكامل RDT على تكامل PDT هتكون ال E برضه بالساوى
+
+102
+00:09:59,700 --> 00:10:03,120
+اللي هي VB'
+
+103
+00:10:03,580 --> 00:10:08,040
+-U
+
+104
+00:10:08,040 --> 00:10:13,640
+على U-VB
+
+105
+00:10:13,640 --> 00:10:18,640
+هيك هيطلع معايا في حالة B إذا بعمل cross للطرفين
+
+106
+00:10:18,640 --> 00:10:26,300
+هيكون عندي VA U
+
+107
+00:10:31,740 --> 00:10:39,260
+-va vb-u
+
+108
+00:10:39,260 --> 00:10:53,820
+تربيع زاد u vb هتساوي u vb prime-u
+
+109
+00:10:53,820 --> 00:10:58,080
+تربيع-va
+
+110
+00:10:58,080 --> 00:11:09,820
+primevb prime زائد u va prime طبعا u تربيع هتروح
+
+111
+00:11:09,820 --> 00:11:22,640
+معاش u تربيع اكل
+
+112
+00:11:22,640 --> 00:11:27,640
+عندي عندي
+
+113
+00:11:27,640 --> 00:11:28,460
+vau
+
+114
+00:11:30,980 --> 00:11:37,340
+و U VB ناخد
+
+115
+00:11:37,340 --> 00:11:45,400
+الآن في هذه الصفة VAU VAU زائد
+
+116
+00:11:45,400 --> 00:11:51,080
+U VB minus
+
+117
+00:11:51,080 --> 00:11:55,140
+U VB prime
+
+118
+00:11:58,660 --> 00:12:16,040
+minus uva prime بتساوي va prime vb prime يعني
+
+119
+00:12:16,040 --> 00:12:22,020
+خد u يعني u هتطلع بتساوي
+
+120
+00:12:22,020 --> 00:12:34,840
+minus va prime vb primeعلى VA زائد VB minus VB
+
+121
+00:12:34,840 --> 00:12:41,380
+prime minus VA prime لان U إذا بعوضها في المعادلة
+
+122
+00:12:41,380 --> 00:12:46,510
+هذه أو المعادلة السابقةيعني في المعادلة هذه اللي
+
+123
+00:12:46,510 --> 00:12:50,090
+هي a بيساوي vb prime minus u على u minus vb إذا
+
+124
+00:12:50,090 --> 00:12:54,970
+بعود عن u في البسط وفي المقام و بعمل تبسيط بتصفي
+
+125
+00:12:54,970 --> 00:12:58,870
+عندي المعادلة هذه اللي هي vb prime minus va prime
+
+126
+00:12:58,870 --> 00:13:09,590
+بيساوي minus e في vb minus va يعني حركة سرعة b
+
+127
+00:13:09,590 --> 00:13:15,160
+بالنسبة ليه بعد التصادم بيساوي minus aفي سرعة b
+
+128
+00:13:15,160 --> 00:13:18,900
+بالنسبة ل a قبل التصادم انا بحكي ان هي vb prime
+
+129
+00:13:18,900 --> 00:13:22,760
+minus va prime يعني انا بحكي اللي هي vba prime
+
+130
+00:13:22,760 --> 00:13:27,280
+وهديك vb minus va معناته بتحكي vb بالنسبة ل a
+
+131
+00:13:27,280 --> 00:13:37,840
+معناته ال E بالساوية minus ال vb بالنسبة ل a prime
+
+132
+00:13:37,840 --> 00:13:42,140
+على ال vb
+
+133
+00:13:44,630 --> 00:13:49,130
+بالنسبة لإيه اللي
+
+134
+00:13:49,130 --> 00:13:58,910
+هي سواء minus VB prime minus VA prime على VB minus
+
+135
+00:13:58,910 --> 00:14:06,930
+VA نفسها
+
+136
+00:14:06,930 --> 00:14:09,310
+هي بقى معينة VB prime minus VA ما هي VB prime
+
+137
+00:14:09,310 --> 00:14:13,690
+بيستويش VB prime minus VA prime و VBA اللي هي VB
+
+138
+00:14:13,690 --> 00:14:14,250
+minus VA
+
+139
+00:14:19,270 --> 00:14:23,090
+في حالات خاصة ليه perfectly elastic plastic impact
+
+140
+00:14:23,090 --> 00:14:29,870
+perfectly plastic plastic impact يعني مافيش فترة
+
+141
+00:14:29,870 --> 00:14:34,930
+restitution بيصير فيه deformation و خلاص غير
+
+142
+00:14:34,930 --> 00:14:44,510
+marine ماصار لأن they are deformed بس مسترجعتش
+
+143
+00:14:44,510 --> 00:14:50,950
+مانفصلوش معناته ال E هي قياسدي ادياش انا بسترجع في
+
+144
+00:14:50,950 --> 00:14:56,070
+ال deformation نتيجة التصادم او قياس للنسبة
+
+145
+00:14:56,070 --> 00:14:59,570
+المستردة من ال deformation اذا استردتها مية في
+
+146
+00:14:59,570 --> 00:15:01,350
+المية مثلا اذا اصلا اصلا اصلا اصلا اصلا اصلا اصلا
+
+147
+00:15:01,350 --> 00:15:02,570
+اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا
+
+148
+00:15:02,570 --> 00:15:02,670
+اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا
+
+149
+00:15:02,670 --> 00:15:02,670
+اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا
+
+150
+00:15:02,670 --> 00:15:03,030
+اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا
+
+151
+00:15:03,030 --> 00:15:16,470
+اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا اصلا
+
+152
+00:15:16,470 --> 00:15:22,630
+اصلاففي الحالة دي إذا إيه بيستوى صفر بتكون ال V بي
+
+153
+00:15:22,630 --> 00:15:26,530
+برايم بيمشوا مع بعض جسمهم V بي برايم بيستوى V A
+
+154
+00:15:26,530 --> 00:15:31,350
+برايم وبالتالي
+
+155
+00:15:31,350 --> 00:15:36,070
+بيصير ال V احنا حكينا V M A V A زي M B V B بيستوى
+
+156
+00:15:36,070 --> 00:15:40,750
+M A V A برايم زي M B V برايم و V A برايم بيستوى V
+
+157
+00:15:40,750 --> 00:15:44,110
+بي برايم بيستوى V برايم ومعناته جسمين بيمشوا مع
+
+158
+00:15:44,110 --> 00:15:47,250
+بعض بعد تصادم هذا في حالة في حالة ال إيه بيستوى
+
+159
+00:15:47,250 --> 00:15:54,540
+صفرفي حالة ال E بسوء واحد في الحالة دي بيصير عندي
+
+160
+00:15:54,540 --> 00:16:01,020
+conservation of energy او conservation of momentum
+
+161
+00:16:01,020 --> 00:16:03,540
+احنا فيه انا conservation of momentum في الأوقع في
+
+162
+00:16:03,540 --> 00:16:07,340
+الحالة العادية لكن لما ال E بسوء واحد فيه عندي
+
+163
+00:16:07,340 --> 00:16:09,200
+conservation of momentum وفيه conservation of
+
+164
+00:16:09,200 --> 00:16:12,920
+energy ليش؟ لأن انا كل الطاقة ال .. ال strain
+
+165
+00:16:12,920 --> 00:16:18,080
+energy في ال deformation استردتها بالكاملمصر فيه
+
+166
+00:16:18,080 --> 00:16:23,340
+فوائد لكن في التصادمات اذا انا فقدت ال E كانت سبعة
+
+167
+00:16:23,340 --> 00:16:27,920
+من عشرة معناته تلاتين في المية من ال energy فقدت
+
+168
+00:16:27,920 --> 00:16:30,900
+صح؟ مفيش conservation of energy لما ال E بيساوي
+
+169
+00:16:30,900 --> 00:16:36,100
+واحد كل energy اللي استرق ال energy تم استرجازها
+
+170
+00:16:36,100 --> 00:16:39,900
+فظل اندي conservation of energy هذا في حالتي ال E
+
+171
+00:16:39,900 --> 00:16:45,400
+بيساوي واحد و بتكون في الحالة هذه الصورة النسبية
+
+172
+00:16:45,400 --> 00:16:50,350
+بعد تصادمبس هو negative الصراع النسبية قبل التصادم
+
+173
+00:16:50,350 --> 00:16:56,410
+طيب
+
+174
+00:16:56,410 --> 00:17:00,790
+هذا في حالة ال oblique central impact oblique
+
+175
+00:17:00,790 --> 00:17:03,950
+central impact أنا عندي جسمين أول الشيء هو ال
+
+176
+00:17:03,950 --> 00:17:06,890
+central impact معناته خط عمل التصادم بيمر في مركزي
+
+177
+00:17:06,890 --> 00:17:11,730
+ثقل جسمي أنا عندي جسم a وجسم b لكن صراعة a بتعمل
+
+178
+00:17:11,730 --> 00:17:16,790
+زاوية مع خط عمل التصادمو B سرعتها بتعمل برضه زغم
+
+179
+00:17:16,790 --> 00:17:20,150
+الخط عمل اتصادم معناته هي عندى M A V A قبل اتصادم
+
+180
+00:17:20,150 --> 00:17:28,650
+وعندى M B V B الآن بحلل لمركبتين سرعة اللى هو زخم
+
+181
+00:17:28,650 --> 00:17:36,850
+A في اتجاه عمودي في اتجاه الخط عمل اتصادم M A V A
+
+182
+00:17:36,850 --> 00:17:41,700
+normalوفي اتجاه عمودي على خط عمل اتصاد يعني في
+
+183
+00:17:41,700 --> 00:17:44,100
+اتجاه ال tangential يعني هكون عندي M A V A
+
+184
+00:17:44,100 --> 00:17:49,180
+tangential و M B V B tangential و برضه في عندي M A
+
+185
+00:17:49,180 --> 00:17:55,180
+V A normal و M B V B normal طبعا بعد اتصادهم بيكون
+
+186
+00:17:55,180 --> 00:18:00,400
+لهم M B V بيكون اتجاهات مختلفة M B V B prime و M A
+
+187
+00:18:00,400 --> 00:18:02,880
+V A prime برضه هتمكن ان احللها بالاتجاه يعني
+
+188
+00:18:02,880 --> 00:18:06,760
+بالاتجاه خط عمل اتصادهموباتجاه ال tangent اللي هو
+
+189
+00:18:06,760 --> 00:18:14,060
+عمودي على خط عمل التصادم الان
+
+190
+00:18:14,060 --> 00:18:19,880
+التصادم صار في تجاه ال normal التصادم في اتجاه ال
+
+191
+00:18:19,880 --> 00:18:24,120
+normal مافي تصادم باتجاه ال tangential طبعا هذه
+
+192
+00:18:24,120 --> 00:18:29,580
+فرضية هو حقيقة لما يصير تصادم بيصير بيصير انبعاج
+
+193
+00:18:29,580 --> 00:18:32,500
+فبيصير في friction على اتجاه التاني بيصير في
+
+194
+00:18:32,500 --> 00:18:36,760
+friction احنا لنا فرضية انهانه يعني ال friction
+
+195
+00:18:36,760 --> 00:18:42,260
+مهمل في الحالة هذه التصادم صار فقط بال normal
+
+196
+00:18:42,260 --> 00:18:45,260
+direction مافي تصادم تجاه ال tangential ماعناته ما
+
+197
+00:18:45,260 --> 00:18:51,020
+زالت مش تصادم تجاه ال tangential ال tangential
+
+198
+00:18:51,020 --> 00:18:56,320
+componentأو momentum لكل جسم على حده is conserved
+
+199
+00:18:56,320 --> 00:19:02,160
+يعني هتكون M A V A tangential بيستوى M A V A
+
+200
+00:19:02,160 --> 00:19:07,660
+tangential prime معناته سرعة الجسم A قبل التصادم
+
+201
+00:19:07,660 --> 00:19:11,300
+باتجاه ال tangential بستوى سرعة الجسم A في اتجاه
+
+202
+00:19:11,300 --> 00:19:15,620
+tangential prime معناته ال tangential component ما
+
+203
+00:19:15,620 --> 00:19:18,920
+بتتغير و VB tangential بيستوى VB tangential prime
+
+204
+00:19:22,250 --> 00:19:25,430
+الان ال normal component لل total momentum of the
+
+205
+00:19:25,430 --> 00:19:28,450
+two particles is conserved فى اتجاه النورمال داريش
+
+206
+00:19:28,450 --> 00:19:33,390
+يعنى هكون عندي M A V A normal زي م بي V بي normal
+
+207
+00:19:33,390 --> 00:19:38,510
+بيستوى M A V A normal prime زي م بي V بي normal
+
+208
+00:19:38,510 --> 00:19:44,270
+prime الان
+
+209
+00:19:45,350 --> 00:19:49,330
+ال normal التصادم صار في اتجاه ال normal direction
+
+210
+00:19:49,330 --> 00:19:55,470
+معناته المعامل الارتداد يعني applies في ال normal
+
+211
+00:19:55,470 --> 00:19:57,510
+direction مافي تصادم في اتجاه ال tangential
+
+212
+00:20:04,030 --> 00:20:08,970
+معناته هتكون عندى ال E أو ال VB prime في اتجاه ال
+
+213
+00:20:08,970 --> 00:20:15,710
+normal minus VA normal prime بيستوى E في VA normal
+
+214
+00:20:15,710 --> 00:20:21,090
+minus VB normal معناته معامد ارتداد في الحالة هذه
+
+215
+00:20:21,090 --> 00:20:26,210
+بيستوى السرعة النسبية بعد التصادم في اتجاه ال
+
+216
+00:20:26,210 --> 00:20:31,390
+normal على سالب السرعة النسبية في اتجاه ال normal
+
+217
+00:20:31,390 --> 00:20:32,190
+قبل التصادم
+
+218
+00:20:39,790 --> 00:20:43,750
+الان في عندي حالة خاصة هي عندي block constraint
+
+219
+00:20:43,750 --> 00:20:48,470
+move along horizontal عندي هي block A مسموح نتحرك
+
+220
+00:20:48,470 --> 00:20:51,050
+باتجاه الأفق
+
+221
+00:20:52,160 --> 00:20:59,280
+و في عندى كورة B اصطدمت فيه اصطدمت سرعة VB الان في
+
+222
+00:20:59,280 --> 00:21:01,940
+عندى ال common normal ل .. ل .. ل ال B و ال A هذا
+
+223
+00:21:01,940 --> 00:21:04,920
+ايش .. هذا ال common tangent و هذا ايش ال common
+
+224
+00:21:04,920 --> 00:21:12,060
+normal الان الجسم A قبل اتصادم سرعته كانت VA بقى
+
+225
+00:21:12,060 --> 00:21:17,120
+اتصادم VA prime الجسم B قبل اتصادم كانت سرعته VB
+
+226
+00:21:17,120 --> 00:21:20,800
+بقى اتصادم VB prime
+
+227
+00:21:23,210 --> 00:21:29,470
+الان الجسم B او الكورة بيه سرعتها قبل التصادم وبعد
+
+228
+00:21:29,470 --> 00:21:32,290
+تصادم تجاه ال tangential هتكون ايش نفس الشيء يعني
+
+229
+00:21:32,290 --> 00:21:37,330
+هتكون VB tangential بستوى VB prime tangential
+
+230
+00:21:39,680 --> 00:21:44,000
+و ال total horizontal momentum of the block and
+
+231
+00:21:44,000 --> 00:21:47,680
+ball is conserved يعني هتكون في تجاه ال X M A V A
+
+232
+00:21:47,680 --> 00:21:53,660
+زي M B V B X بيستوى M A V A prime زي M B V B prime
+
+233
+00:21:53,660 --> 00:21:58,780
+تجاه ال X المعامل
+
+234
+00:21:58,780 --> 00:22:01,580
+ارتداد I applied along the normal direction
+
+235
+00:22:01,580 --> 00:22:04,240
+المعامل ارتداد I applied along the normal
+
+236
+00:22:04,240 --> 00:22:11,490
+directionهتكون عندى vb prime normal minus va prime
+
+237
+00:22:11,490 --> 00:22:14,970
+normal بستوي E في va normal minus vb normal هو
+
+238
+00:22:14,970 --> 00:22:22,290
+مداخل ال minus جوه عشان هي كان عكست الان
+
+239
+00:22:22,290 --> 00:22:26,090
+في .. خلينا نشوف حالة خاصة ان انا ممكن استخدم يعني
+
+240
+00:22:26,090 --> 00:22:34,510
+اكتر من طريقة يعني مثلا عندي هى جسم جسم A1 بندول
+
+241
+00:22:36,160 --> 00:22:42,400
+كان في الوضع الأفقي لما ات .. اخليه يفلت من ..
+
+242
+00:22:42,400 --> 00:22:48,460
+بداية من السكون من واحد لاتنين بستخدم ال energy من
+
+243
+00:22:48,460 --> 00:22:50,880
+.. ال .. ال energy ال .. ال .. ال principle ..
+
+244
+00:22:50,880 --> 00:22:54,000
+principle of work and energy يعني T واحد زي D واحد
+
+245
+00:22:54,000 --> 00:23:00,060
+لاتنين بيساوي ايش؟ T اتنين بوجه سرعة الجسم A قبل
+
+246
+00:23:00,060 --> 00:23:09,770
+التصادم الآن عند النقطة هذههيكون في عندك VA2 و كان
+
+247
+00:23:09,770 --> 00:23:15,910
+بي VB2 إيش معناها؟ Zero، هيصطدموا، هيصير سرعة ل A
+
+248
+00:23:15,910 --> 00:23:19,610
+بعد التصادم و سرعة ل B بعد التصادم، يعني هنا ب ..
+
+249
+00:23:19,610 --> 00:23:24,410
+ب .. بستخدم اللي هو ال .. ب .. بستخدم اللي هو ال
+
+250
+00:23:24,410 --> 00:23:26,750
+conservation of momentum along the normal
+
+251
+00:23:26,750 --> 00:23:30,670
+direction ال bodies في .. في اتجاه ال normal،
+
+252
+00:23:30,670 --> 00:23:35,220
+بستخدم معاملة ارتداد بين الجسمين، هاي معادلتينالان
+
+253
+00:23:35,220 --> 00:23:42,780
+بعد انتهاء التصادم A و B هيتحرك و كل واحد من فرد I
+
+254
+00:23:42,780 --> 00:23:45,560
+apply ال principle of work of energy principle of
+
+255
+00:23:45,560 --> 00:23:50,760
+work of energy عشان أدرس سواء أدرس A أو أدرس B
+
+256
+00:23:50,760 --> 00:23:54,220
+خلينا
+
+257
+00:23:54,220 --> 00:24:00,080
+نشوف مثال أقول
+
+258
+00:24:17,190 --> 00:24:21,310
+a ball is thrown against a frictionless vertical
+
+259
+00:24:21,310 --> 00:24:27,710
+wall احنا .. هاي الحيطة
+
+260
+00:24:27,710 --> 00:24:32,210
+حدفن
+
+261
+00:24:32,210 --> 00:24:43,690
+عليها كورة مزاوية
+
+262
+00:24:43,690 --> 00:24:45,570
+تلاتين درجة
+
+263
+00:24:54,580 --> 00:25:03,500
+كانت سرعتها ايش؟ V الكورة ال
+
+264
+00:25:03,500 --> 00:25:08,640
+V بتعمل
+
+265
+00:25:08,640 --> 00:25:13,200
+زاوية تلاتين درجة مع الأفقي knowing that بعامل
+
+266
+00:25:13,200 --> 00:25:17,760
+ارتداد E بساوي
+
+267
+00:25:17,760 --> 00:25:24,010
+تسعة من عشرةdetermine the magnitude and direction
+
+268
+00:25:24,010 --> 00:25:26,810
+of the rest of the ball as it rebounds from the
+
+269
+00:25:26,810 --> 00:25:32,230
+wall لأن هتخبط في الحيطة و ترتد لو توجد اللي هو
+
+270
+00:25:32,230 --> 00:25:42,470
+قيمة السرعة بعد اتصالهم و اتجاهها
+
+271
+00:25:42,470 --> 00:25:48,510
+لأن لما تيجي الكورة هنا هي اتجاه ال normal
+
+272
+00:25:48,510 --> 00:25:51,810
+direction صح؟ مظبوط؟
+
+273
+00:25:53,510 --> 00:26:02,210
+هذه ال V هتكون عنده مركبتين هتكون
+
+274
+00:26:02,210 --> 00:26:18,910
+عند V Cos 30 فين دي H V Sin 30 ال
+
+275
+00:26:18,910 --> 00:26:19,930
+E بيساوي 0.9
+
+276
+00:26:23,950 --> 00:26:33,170
+انا باهم ايه normal direction صح خليني اهدى الكرة
+
+277
+00:26:33,170 --> 00:26:43,770
+اسميها a والحيطة اسميها ايش بي ال a بيسوا minus v
+
+278
+00:26:43,770 --> 00:26:47,070
+بيه
+
+279
+00:26:47,070 --> 00:26:51,130
+normal prime minus
+
+280
+00:26:52,880 --> 00:27:02,320
+va normal prime بعد اتصادهم على vb التي هي الحيط
+
+281
+00:27:02,320 --> 00:27:12,480
+normal minus va normal طيب
+
+282
+00:27:12,480 --> 00:27:21,740
+ال ball مش هتتحرك صح فالسرعة هتكون ايه صفر هتكون
+
+283
+00:27:21,740 --> 00:27:32,550
+minusصفر minus VA normal prime على برضه هذه أيش
+
+284
+00:27:32,550 --> 00:27:38,810
+قبل التصادم صفر minus
+
+285
+00:27:38,810 --> 00:27:51,470
+VA normal هتكون اللي هي أيش V cos 30 صح V
+
+286
+00:27:51,470 --> 00:28:00,100
+cos 30هسيدي point nine هدخل minus minus بالسواء VA
+
+287
+00:28:00,100 --> 00:28:12,640
+normal prime على minus V cosine التلاتين يعني
+
+288
+00:28:12,640 --> 00:28:25,720
+هتكون VA normal prime بالسواء minus point تسعةV
+
+289
+00:28:25,720 --> 00:28:36,280
+Cos 30- من هنا تجعل بالعكس طيب VA tangential prime
+
+290
+00:28:36,280 --> 00:28:43,380
+أيش بتساوي بيساوي
+
+291
+00:28:43,380 --> 00:28:49,700
+VA tangential قبل اتصاده VA tangential
+
+292
+00:28:49,700 --> 00:28:52,660
+اللي هي بتساوي V
+
+293
+00:28:54,190 --> 00:29:04,150
+و sign التلاتين معناته الكورة بعد التصادم هيكون
+
+294
+00:29:04,150 --> 00:29:09,570
+لها مركبتين صراحة
+
+295
+00:29:09,570 --> 00:29:17,050
+في الاتنجوش component اللي هي v sign التلاتين في
+
+296
+00:29:17,050 --> 00:29:24,300
+مركبة هيك اللي هيقيمتها تسعة من عشرة لان ال minus
+
+297
+00:29:24,300 --> 00:29:30,540
+بلقته عكس الاتجاه اذا رسم سهم مش هحط minus او plus
+
+298
+00:29:30,540 --> 00:29:39,680
+فتكون point تسعة V cosine التلاتين
+
+299
+00:29:39,680 --> 00:29:44,520
+هذا
+
+300
+00:29:44,520 --> 00:29:47,600
+V A prime
+
+301
+00:29:54,100 --> 00:30:03,940
+هتكون جزر التربيع ل V تربيع سين تربيع التلاتين زاد
+
+302
+00:30:03,940 --> 00:30:13,000
+بون تسعة تربيع V تربيع كسين تربيع التلاتين يعني
+
+303
+00:30:13,000 --> 00:30:22,000
+هتكون سوى V جزر التربيع سين تلاتين و نص تربيع ربع
+
+304
+00:30:22,000 --> 00:30:22,440
+هتكون
+
+305
+00:30:25,550 --> 00:30:30,650
+زاد bond تمانية واحد في قصين التلاتية اللي هي جازة
+
+306
+00:30:30,650 --> 00:30:34,610
+التلاتة ع اتنين ربع
+
+307
+00:30:34,610 --> 00:30:39,630
+ديتر في ما طلعت برا bond تمانية واحد قصين جازة
+
+308
+00:30:39,630 --> 00:30:45,770
+تلاتة ع اتنين ربع تلاتة على اربع في تلاتة
+
+309
+00:30:45,770 --> 00:30:51,730
+على اربع انا
+
+310
+00:30:51,730 --> 00:30:52,850
+خالص اسمي الزاوية هادة
+
+311
+00:30:56,300 --> 00:31:03,500
+بيتا تان بيتا ايش الساوية اللي
+
+312
+00:31:03,500 --> 00:31:08,300
+هتكون V sin 30 على
+
+313
+00:31:08,300 --> 00:31:21,140
+تسعة من عشرة V cos 30 يعني هتكون تان التلاتين على
+
+314
+00:31:21,140 --> 00:31:23,200
+تسعة من عشرة
+
+315
+00:31:25,980 --> 00:31:31,840
+و منها بحسب ال
+
+316
+00:31:31,840 --> 00:31:35,900
+V منها
+
+317
+00:31:35,900 --> 00:31:45,260
+بحسب ال V ال Beta يعني يعني
+
+318
+00:31:45,260 --> 00:31:50,380
+يعني
+
+319
+00:31:50,380 --> 00:31:56,980
+V A Prime حصول هذا الرقمطالي تجربة تسعة من عشرة و
+
+320
+00:31:56,980 --> 00:32:03,200
+اتنين تسعة من عشرة و اتنين تحت الجدر هذا كله
+
+321
+00:32:03,200 --> 00:32:08,560
+احسبليها كم بعد الجدر تسعة من عشرة و اتنين احسبلي
+
+322
+00:32:08,560 --> 00:32:14,960
+احسب الجدر يعني V
+
+323
+00:32:14,960 --> 00:32:19,880
+صحيح
+
+324
+00:32:19,880 --> 00:32:30,930
+مقنعته V A PrimeSo point 9 2 6 V تعمل زاوية مع
+
+325
+00:32:30,930 --> 00:32:36,030
+الأفق 32
+
+326
+00:32:36,030 --> 00:32:39,370
+point
+
+327
+00:32:39,370 --> 00:32:47,270
+7 degrees تشوف
+
+328
+00:32:47,270 --> 00:32:48,030
+مثال تاني
+
+329
+00:33:03,910 --> 00:33:07,910
+and the magnitude and direction of the velocities
+
+330
+00:33:07,910 --> 00:33:13,530
+of two identical frictionless balls before they
+
+331
+00:33:13,530 --> 00:33:16,310
+strike each other are as shown يعني معطين VA
+
+332
+00:33:16,310 --> 00:33:20,510
+تلاتين درجة تلاتين foot per قدم تعمل تلاتين درجة
+
+333
+00:33:20,510 --> 00:33:26,110
+مع الأفق و VB أربعين قدم per second تعمل ستين درجة
+
+334
+00:33:26,110 --> 00:33:30,710
+مع الأفق بتجاه المعاكس و المعاملة تداد عن تسعة من
+
+335
+00:33:30,710 --> 00:33:39,590
+عشرةأوجد قيمة واتجاه سرعة كل كورة بعد التصادم عندي
+
+336
+00:33:39,590 --> 00:33:44,570
+هاي A وهي
+
+337
+00:33:44,570 --> 00:33:44,790
+B
+
+338
+00:34:05,010 --> 00:34:09,730
+عندي VA بتساوي
+
+339
+00:34:09,730 --> 00:34:20,130
+تلاتين وعندي
+
+340
+00:34:20,130 --> 00:34:24,510
+VB
+
+341
+00:34:24,510 --> 00:34:28,450
+أربعين
+
+342
+00:34:28,450 --> 00:34:32,410
+بتعمل
+
+343
+00:34:32,410 --> 00:34:46,730
+زاويةاربعين درجة نعم ستين home
+
+344
+00:34:46,730 --> 00:34:50,550
+identity كده نفس ال mass هذا ال normal direction
+
+345
+00:34:50,550 --> 00:34:56,290
+وهذا tangential
+
+346
+00:34:56,290 --> 00:35:04,240
+direction حكوا انه conservationalong tangential
+
+347
+00:35:04,240 --> 00:35:10,220
+direction لكل كرة الأحدى صح؟ وانت هتكون VA
+
+348
+00:35:10,220 --> 00:35:16,040
+tangential prime بيساوي VA tangential يعني هتكون
+
+349
+00:35:16,040 --> 00:35:20,020
+تلاتين sign
+
+350
+00:35:20,020 --> 00:35:27,920
+التلاتين يعني هتكون خمس أستاشر foot per second وهي
+
+351
+00:35:27,920 --> 00:35:29,880
+اتجاه الأعلى، مظبوط؟
+
+352
+00:35:33,150 --> 00:35:40,310
+و VB tangential prime بيستوى VB tangential بيستوى
+
+353
+00:35:40,310 --> 00:35:47,790
+اربعين ساين الستين يعني اربعين في bond تمانية ستة
+
+354
+00:35:47,790 --> 00:35:54,930
+ستة يعني هكون اربع بستة اربع و عشرين ستة و عشرين
+
+355
+00:35:54,930 --> 00:35:58,070
+اربع تمانية اربع و تلاتين
+
+356
+00:36:01,530 --> 00:36:09,750
+foot per second لأعلى هزبوت هاد ال V بيتنجلش ال
+
+357
+00:36:09,750 --> 00:36:15,170
+prime الان فيه تنين مع بعض فيه conservation along
+
+358
+00:36:15,170 --> 00:36:17,970
+ال normal direction فيه conservation along ال
+
+359
+00:36:17,970 --> 00:36:25,110
+normal direction معناه تحكوا أن عندي M VA cosine
+
+360
+00:36:25,110 --> 00:36:26,210
+التلاتين
+
+361
+00:36:28,550 --> 00:36:38,650
+هذه اتجاهها هيك minus M VB cosine الستين هذا
+
+362
+00:36:38,650 --> 00:36:47,310
+before بالسواء M VA
+
+363
+00:36:47,310 --> 00:36:53,810
+prime normal زاد
+
+364
+00:36:56,550 --> 00:37:03,510
+M V P Normal Prime ال
+
+365
+00:37:03,510 --> 00:37:09,950
+M هتختصر طبعا ال
+
+366
+00:37:09,950 --> 00:37:16,930
+V A اللي هي عندي تلاتين في كسين التلاتين minus ال
+
+367
+00:37:16,930 --> 00:37:25,420
+V P أربعين في نصبساوة VA normal prime زائد VB
+
+368
+00:37:25,420 --> 00:37:30,420
+normal prime يعني انا هكون عندى VA normal prime
+
+369
+00:37:30,420 --> 00:37:39,300
+زائد VB normal prime بساوة تلاتة بستة تمانتاش
+
+370
+00:37:39,300 --> 00:37:43,100
+تسعتاش تلاتة تمانية و خمسة و عشرين
+
+371
+00:37:47,150 --> 00:37:51,230
+ناقص خمسة و عشرين ناقص عشرين يعني خمسة point تسعة
+
+372
+00:37:51,230 --> 00:37:57,130
+تمانية هذه
+
+373
+00:37:57,130 --> 00:38:02,890
+معادلة يا عياش واحد بعدين
+
+374
+00:38:02,890 --> 00:38:07,130
+عندي E اللي
+
+375
+00:38:07,130 --> 00:38:12,370
+هي تسعة من عشرة اعطينا تسعة من عشرة بالساوية
+
+376
+00:38:12,370 --> 00:38:13,630
+minus
+
+377
+00:38:15,490 --> 00:38:24,570
+VP normal prime minus VA normal prime على VB
+
+378
+00:38:24,570 --> 00:38:31,010
+normal minus VA normal يعني تساوية عشرة هتكون
+
+379
+00:38:31,010 --> 00:38:39,450
+تساوية minus VB normal prime minus VA normal prime
+
+380
+00:38:39,450 --> 00:38:50,590
+على VB normal هتكون بال negativeminus 40 cos
+
+381
+00:38:50,590 --> 00:39:00,570
+60 minus v a normal هي عبارة عن اياش تلاتين cosine
+
+382
+00:39:00,570 --> 00:39:07,350
+التلاتين حسيت تسعى من عشرة يعني انا بتحسي عندي v b
+
+383
+00:39:07,350 --> 00:39:15,030
+normal minus v a normal prime بالساوية
+
+384
+00:39:17,050 --> 00:39:25,070
+هتكون عندى عشرين زاد خمس وعشرين خمس واربعين point
+
+385
+00:39:25,070 --> 00:39:33,170
+تسعة تمانية هذا معدل التاني مظبوط هعندي
+
+386
+00:39:33,170 --> 00:39:41,230
+واحد وهي اتنين هنحط واحد تحت اللي هي عندىVB normal
+
+387
+00:39:41,230 --> 00:39:47,730
+prime زائد VA normal prime بسواء خمسة point تسعة
+
+388
+00:39:47,730 --> 00:39:56,570
+تمانية وين
+
+389
+00:39:56,570 --> 00:40:03,830
+تلتين ماشي تلتين اه هاي الأولى
+
+390
+00:40:11,710 --> 00:40:17,790
+أه صحيح اجمعت انتين هكون انا ادي اتنين Vp normal
+
+391
+00:40:17,790 --> 00:40:28,410
+prime بالساوي ستاش تسعتاش واحد
+
+392
+00:40:28,410 --> 00:40:33,730
+وخمسين مظبوط زي هيك يعني
+
+393
+00:40:33,730 --> 00:40:45,100
+Vp normalprime بالساوية اتنين خمسة ستاشر اتنين
+
+394
+00:40:45,100 --> 00:40:54,580
+تسعة تمانية اه تسعة تمانية مافيش واحد صح يطلع واحد
+
+395
+00:40:54,580 --> 00:40:58,020
+اه
+
+396
+00:40:58,020 --> 00:41:05,330
+لأ بحكي علي هنا اه foot per secondوبنها بجيب va
+
+397
+00:41:05,330 --> 00:41:16,450
+normal prime va normal prime ماسح يكون خمسة point
+
+398
+00:41:16,450 --> 00:41:21,510
+تسعة تمانية مناقص خمسة عشرين point تسعة تمانية
+
+399
+00:41:21,510 --> 00:41:30,250
+هتكون ساوي سالب عشرين لأن
+
+400
+00:41:30,250 --> 00:41:33,290
+معناته a هي a
+
+401
+00:41:38,170 --> 00:41:44,770
+فيه تنجنتشال كومبونات اللي هي خمس أسطاش وفيه
+
+402
+00:41:44,770 --> 00:41:52,450
+number جايب العكس اللي أنا سالب هذا a هذا va
+
+403
+00:41:52,450 --> 00:42:01,110
+normal prime هذا va tangential prime هذا
+
+404
+00:42:01,110 --> 00:42:07,450
+va و b فيه vb tangential
+
+405
+00:42:15,490 --> 00:42:27,110
+prime و في vp normal prime
+
+406
+00:42:27,110 --> 00:42:37,110
+جه هذا الاتجاه هذا
+
+407
+00:42:37,110 --> 00:42:44,390
+هتكون vp normal primeكم من الناس اللي هحسبوه
+
+408
+00:42:44,390 --> 00:42:51,130
+القيام و الزوايا هسميها هذه alpha اد beta تحسبوا
+
+409
+00:42:51,130 --> 00:42:57,530
+alpha او beta كملوا اتأكدوا من الأرقام و اللي تجه
+
+410
+00:42:57,530 --> 00:42:59,750
+هذا تبكوا العافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/nBLgRMQauhk.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/nBLgRMQauhk.srt
new file mode 100644
index 0000000000000000000000000000000000000000..443296e262eaea8b63b7ba39b62c7ebf5cae65ef
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/nBLgRMQauhk.srt
@@ -0,0 +1,1267 @@
+1
+00:00:05,040 --> 00:00:08,020
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,020 --> 00:00:12,000
+وبركاته هنكمل في مادة الديناميكا حاليا في ال
+
+3
+00:00:12,000 --> 00:00:16,720
+chapter التالت ال energy and momentum methods
+
+4
+00:00:16,720 --> 00:00:21,880
+المرة فترحنا ال energy method اللي هي T1 زائد U1 ل
+
+5
+00:00:21,880 --> 00:00:30,100
+2 يساوي T2 حلنا تلت examples هنحل كمان examples و
+
+6
+00:00:30,100 --> 00:00:32,680
+نكمل هنشوف example حاليا
+
+7
+00:00:37,020 --> 00:00:41,080
+عندي a two thousand pound car starts from rest at
+
+8
+00:00:41,080 --> 00:00:43,580
+point one and moves without friction down the
+
+9
+00:00:43,580 --> 00:00:56,300
+track في هذه السيارة وزنها الفين pound بدأت
+
+10
+00:00:56,300 --> 00:01:05,000
+من السكون من النقطة واحد يعني V واحد يساوي
+
+11
+00:01:05,000 --> 00:01:05,420
+صفر
+
+12
+00:01:08,800 --> 00:01:11,980
+و بتمشي على مسار بدون احتكاك يعني مافيش عندي
+
+13
+00:01:11,980 --> 00:01:18,560
+احتكاك no friction
+
+14
+00:01:18,560 --> 00:01:23,300
+determine the force exerted by the track on the car at
+
+15
+00:01:23,300 --> 00:01:26,980
+point two أجد القوة المؤثرة على السيارة عند نقطة
+
+16
+00:01:26,980 --> 00:01:35,760
+اثنين أنا عندي هذه ال track هذه
+
+17
+00:01:35,760 --> 00:01:37,240
+واحد
+
+18
+00:01:40,540 --> 00:01:44,620
+و هذه اثنين وهذه
+
+19
+00:01:44,620 --> 00:01:48,020
+ثلاثة
+
+20
+00:01:48,020 --> 00:01:52,100
+الآن
+
+21
+00:01:52,100 --> 00:01:58,760
+سأعتبر هذا هو ال reference
+
+22
+00:01:58,760 --> 00:02:05,600
+point
+
+23
+00:02:05,600 --> 00:02:08,640
+باستخدام ال energy method سأدرس الحركة من واحد
+
+24
+00:02:08,640 --> 00:02:25,520
+إلى اثنين أكون عندي T1 زائد U1 ل 2 يساوي T2 طيب هو يحكي
+
+25
+00:02:25,520 --> 00:02:31,240
+الذي بدأ من السكون معناه T1 ليس يساوي T1 يساوي
+
+26
+00:02:31,240 --> 00:02:36,380
+0 و T2 نصف
+
+27
+00:02:39,870 --> 00:02:53,350
+mv2 تربيع يساوي و نصف الام اللي هي w على g ال
+
+28
+00:02:53,350 --> 00:02:59,250
+U واحد إلى اثنين الجسم يكون تحت تأثير وزنه صح؟ يعني
+
+29
+00:02:59,250 --> 00:03:04,950
+ستكون U واحد إلى اثنين هيكون الوزن W
+
+30
+00:03:08,370 --> 00:03:14,930
+في المسافة اللي هي أكثر من أربعين قدم صح؟
+
+31
+00:03:14,930 --> 00:03:18,210
+هنا
+
+32
+00:03:18,210 --> 00:03:27,010
+ستكون أربعين في W نعوض
+
+33
+00:03:27,010 --> 00:03:36,590
+هنا T واحد يساوي صفر زائد U واحد إلى اثنين أربعين W يساوي T
+
+34
+00:03:36,590 --> 00:03:37,750
+اثنين اللي هي نصف
+
+35
+00:03:40,990 --> 00:03:57,070
+w على g v2 تربيع ستذهب w مع w يبقى v2 تربيع
+
+36
+00:03:57,070 --> 00:04:03,870
+ستكون ثمانين في
+
+37
+00:04:03,870 --> 00:04:12,680
+g اللي هي 32.2 يعني V2
+
+38
+00:04:12,680 --> 00:04:17,320
+ستكون جذر 80 في 32.2 و
+
+39
+00:04:17,320 --> 00:04:23,080
+يساوي 50.6
+
+40
+00:04:23,080 --> 00:04:29,380
+قدم
+
+41
+00:04:29,380 --> 00:04:32,240
+لكل ثانية
+
+42
+00:04:35,300 --> 00:04:40,420
+هو يريد ال force التي تؤثر ال force من ال track
+
+43
+00:04:40,420 --> 00:04:43,520
+على السيارة عند اثنين فسنرسم free body
+
+44
+00:04:43,520 --> 00:04:54,220
+diagrams صح؟ هذه السيارة عند اثنين يؤثر
+
+45
+00:04:54,220 --> 00:04:59,120
+عليها وزنها للاسفل و
+
+46
+00:04:59,120 --> 00:05:04,820
+هناك رد الفعل العمودي and صح؟
+
+47
+00:05:07,440 --> 00:05:25,200
+هناك acceleration الوزن
+
+48
+00:05:25,200 --> 00:05:27,440
+بسم الله ليس سالب g
+
+49
+00:05:32,320 --> 00:05:35,620
+هو على مسار سيكون ال component normal component سيكون
+
+50
+00:05:35,620 --> 00:05:41,280
+m a normal صح ستساوي m
+
+51
+00:05:41,280 --> 00:05:48,860
+a normal صحيح ال
+
+52
+00:05:48,860 --> 00:05:57,340
+summation سأقول هذه ال x و هذه ال y summation
+
+53
+00:05:57,340 --> 00:05:59,540
+ال fy
+
+54
+00:06:02,440 --> 00:06:10,340
+في الاتجاه الموجب ستساوي القوة M A Normal سنكمل
+
+55
+00:06:10,340 --> 00:06:18,500
+معناته N ناقص W يساوي M A Normal M التي هي W على
+
+56
+00:06:18,500 --> 00:06:26,460
+G ال A Normal ماذا يساوي V
+
+57
+00:06:26,460 --> 00:06:28,900
+اثنين تربيع على رو
+
+58
+00:06:32,020 --> 00:06:39,360
+هو أعطاني نصف قطر ال raw عند هذه النقطة الذي
+
+59
+00:06:39,360 --> 00:06:45,840
+هو عشرين قدم ال
+
+60
+00:06:45,840 --> 00:06:55,460
+a normal الذي هو V اثنين تربيع على raw يعني ال N ال
+
+61
+00:06:55,460 --> 00:06:59,360
+force ستساوي W
+
+62
+00:07:02,090 --> 00:07:14,530
+في واحد زائد V اثنين تربيع على رو في G يعني نعوض
+
+63
+00:07:14,530 --> 00:07:18,790
+عندي ألفين في
+
+64
+00:07:18,790 --> 00:07:25,510
+واحد زائد V اثنين تربيع التي هي 80 في 32.2 و
+
+65
+00:07:25,510 --> 00:07:32,380
+على رو التي هي 20 وال G
+
+66
+00:07:32,380 --> 00:07:40,700
+يساوي 32.2
+
+67
+00:07:40,700 --> 00:07:53,780
+على 20 يساوي 4 زائد 1 خمسة يعني
+
+68
+00:07:53,780 --> 00:07:56,800
+ستكون 10000 pound
+
+69
+00:08:02,290 --> 00:08:06,870
+هذا المطلوب الأول المطلوب
+
+70
+00:08:06,870 --> 00:08:16,710
+الثاني find the minimum safe value of the radius
+
+71
+00:08:16,710 --> 00:08:24,010
+of curvature at point three ماذا
+
+72
+00:08:24,010 --> 00:08:26,530
+يعني minimum safe value عند النقطة هذه ماذا تعني
+
+73
+00:08:26,530 --> 00:08:33,090
+minimum safe value تعني إذا زادت السرعة عن حد
+
+74
+00:08:33,090 --> 00:08:37,930
+معين نفقد التلامس يعني ال critical الذي هو فقدان
+
+75
+00:08:37,930 --> 00:08:47,110
+التلامس يعني لا يوجد normal force لا يوجد الذي هو ال
+
+76
+00:08:47,110 --> 00:08:51,150
+minimum safe value
+
+77
+00:08:58,850 --> 00:09:06,310
+at point three تصبح
+
+78
+00:09:06,310 --> 00:09:11,170
+عندما occurs at
+
+79
+00:09:11,170 --> 00:09:17,870
+في اللحظة عندما
+
+80
+00:09:17,870 --> 00:09:24,570
+السيارة
+
+81
+00:09:24,570 --> 00:09:27,430
+تلامس فقط
+
+82
+00:09:33,040 --> 00:09:39,880
+ال track يعني لو رسمت free body diagram عند ثلاثة
+
+83
+00:09:39,880 --> 00:09:49,180
+سيكون عندها الوزن W وهناك ال normal force التي
+
+84
+00:09:49,180 --> 00:09:55,260
+ستكون لأنها تساوي صفر صح؟
+
+85
+00:09:55,260 --> 00:09:58,340
+ستكون
+
+86
+00:09:58,340 --> 00:10:03,700
+تساوي صفر طبعا ال radius متجه للاسفل فسيكون ال a
+
+87
+00:10:03,700 --> 00:10:14,960
+normal للاسفل يساوي m a normal هذه ال x وهذه ال
+
+88
+00:10:14,960 --> 00:10:19,460
+y نحن
+
+89
+00:10:19,460 --> 00:10:24,340
+أخذنا summation of forces باتجاه
+
+90
+00:10:24,340 --> 00:10:30,160
+ال y واعتبرت الموجب للاسفل مثلا في هذه الحالة ستكون
+
+91
+00:10:30,160 --> 00:10:37,660
+يساوي M A Normal يعني ستكون W ناقص N في هذه الحالة
+
+92
+00:10:37,660 --> 00:10:48,960
+يساوي صفر W يساوي M A Normal M التي هي W على G في
+
+93
+00:10:48,960 --> 00:10:57,040
+M A Normal التي هي V ثلاثة تربيع على رو صحيح؟
+
+94
+00:11:00,650 --> 00:11:04,230
+يعني نختصر ال رو يعني ستكون عند ال رو نختصر ال W
+
+95
+00:11:04,230 --> 00:11:08,270
+رو
+
+96
+00:11:08,270 --> 00:11:16,070
+يساوي V ثلاثة تربيع على
+
+97
+00:11:16,070 --> 00:11:24,950
+G معناته
+
+98
+00:11:24,950 --> 00:11:37,930
+يجب ان احسب V ثلاثة ممكن أقول T واحد زائد U واحد
+
+99
+00:11:37,930 --> 00:11:46,670
+إلى ثلاثة ماذا يساوي؟ T ثلاثة صح؟ T واحد بدأ من
+
+100
+00:11:46,670 --> 00:11:55,170
+السكون صفر زائد U واحد إلى ثلاثة عندنا عشرون قدم وهذه
+
+101
+00:11:55,170 --> 00:12:02,260
+المسافة كم؟ خمسة عشر يعني المسافة ال
+
+102
+00:12:02,260 --> 00:12:06,400
+الكلية 40 ناقص 15 = 25 ستكون
+
+103
+00:12:06,400 --> 00:12:11,400
+خمسة وعشرون W
+
+104
+00:12:11,400 --> 00:12:20,860
+يساوي T ثلاثة التي هي نصف M التي هي W على G V
+
+105
+00:12:20,860 --> 00:12:28,180
+ثلاثة تربيع يعني ستكون V ثلاثة تربيع
+
+106
+00:12:31,320 --> 00:12:36,040
+ستكون تساوي 2
+
+107
+00:12:36,040 --> 00:12:47,780
+في 25 = 50 G صحيح 50 G إذا عوضنا عن ال
+
+108
+00:12:47,780 --> 00:12:57,380
+V ثلاثة في رو ستكون عندنا 50 G على G يعني ال
+
+109
+00:12:57,380 --> 00:12:58,100
+رو كم
+
+110
+00:13:00,800 --> 00:13:06,680
+خمسون قدم يعني
+
+111
+00:13:06,680 --> 00:13:12,820
+إذا ال raw أقل من الخمسين يعني السيارة ستفقد
+
+112
+00:13:12,820 --> 00:13:20,820
+التلامس مع الأرض السيارة ستفقد التلامس مع الأرض في
+
+113
+00:13:20,820 --> 00:13:24,800
+أي سؤال؟ سنرى مثال آخر
+
+114
+00:13:51,310 --> 00:13:59,470
+عندي elevator مصعد و
+
+115
+00:13:59,470 --> 00:14:02,490
+its load have a combined weight of six hundred
+
+116
+00:14:02,490 --> 00:14:13,250
+pound يعني المصعد و حمولته ستمائة pound W الخاص ب
+
+117
+00:14:13,250 --> 00:14:18,830
+المصعد ستمائة pound
+
+118
+00:14:22,060 --> 00:14:26,240
+while counterweight C weighs eight hundred pound
+
+119
+00:14:26,240 --> 00:14:37,840
+هناك وزن معاكس C ثمانمائة pound و WC ثمانمائة
+
+120
+00:14:37,840 --> 00:14:38,400
+pound
+
+121
+00:14:48,450 --> 00:14:51,230
+Determine the power delivered by the electric
+
+122
+00:14:51,230 --> 00:14:57,410
+motor M عندما يكون المصعد احسب قيمة القدرة المحرك
+
+123
+00:14:57,410 --> 00:15:05,410
+M عندما يكون المصعد when the elevator has an
+
+124
+00:15:05,410 --> 00:15:12,010
+instantaneous velocity of 8 feet per second and an
+
+125
+00:15:12,010 --> 00:15:16,190
+acceleration of 2.5 feet per second both directed
+
+126
+00:15:16,190 --> 00:15:21,470
+upward يعني نجد power نجد power عندما كانت سرعة
+
+127
+00:15:21,470 --> 00:15:28,870
+الآنية للمصعد VD تساوي
+
+128
+00:15:31,730 --> 00:15:36,330
+ثمانية قدم لكل
+
+129
+00:15:36,330 --> 00:15:43,170
+ثانية لأعلى و ال acceleration كان التسارع
+
+130
+00:15:43,170 --> 00:15:49,310
+قيمته اثنين ونصف قدم
+
+131
+00:15:49,310 --> 0:15:58,350
+لكل ثانية تربيع أيضا لأعلى نحن
+
+132
+00:15:58,350 --> 00:16:00,170
+لنرسم هنا هذا المصعد
+
+133
+00:16:10,210 --> 00:16:25,230
+هناك بكرة وهناك
+
+134
+00:16:25,230 --> 00:16:26,970
+بكرة أخرى بجانبها
+
+135
+00:16:46,690 --> 00:16:51,310
+هناك هذا D وهناك
+
+136
+00:16:51,310 --> 00:16:56,810
+هنا counterweight هذا
+
+137
+00:16:56,810 --> 00:17:09,690
+بكرة أخرى C
+
+138
+00:17:09,690 --> 00:17:12,630
+وهناك هنا
+
+139
+00:17:18,400 --> 00:17:23,140
+الذي هو ال motor يعني انا كأنه ماسك بحبل
+
+140
+00:17:23,140 --> 00:17:30,080
+وأنا اسحبه هناك M إلى
+
+141
+00:17:30,080 --> 00:17:42,000
+دعوني اعرف frame of reference سأقول هذه XD وهذا
+
+142
+00:17:42,000 --> 00:17:43,360
+هذه XC
+
+143
+00:17:52,690 --> 00:18:01,690
+وهذه XM
+
+144
+00:18:01,690 --> 00:18:10,150
+لأن
+
+145
+00:18:10,150 --> 00:18:14,990
+هذه حركة مرتبطة يعني الاجسام مرتبطة مع بعضها بالحركة
+
+146
+00:18:14,990 --> 00:18:22,550
+من خلال الحبال والبكرات عندي حبلان هذا حبل وهذا حبل
+
+147
+00:18:22,550 --> 00:18:30,770
+يعني طول الحبل الاول هذا ثابت صح؟ سنقول هنا عندي
+
+148
+00:18:30,770 --> 00:18:41,770
+الواحد والاثنين والثلاثة والاربعة والخمسة صح؟ عندي
+
+149
+00:18:41,770 --> 00:18:48,910
+الواحد زائد الاثنين زائد الثلاثة ثابت constant
+
+150
+00:18:51,050 --> 00:18:56,270
+يعني ستكون XC زائد
+
+151
+00:18:56,270 --> 00:19:10,030
+XC زائد XC زائد XD ثابتة
+
+152
+00:19:10,030 --> 00:19:18,620
+constant معنى ذلك 2XC زائد XD يساوي constant
+
+153
+00:19:18,620 --> 00:19:28,060
+معناته باشتق 2VC زائد VD
+
+154
+00:19:28,060 --> 00:19:36,120
+يساوي صفر سأشتق
+
+155
+00:19:36,120 --> 00:19:42,100
+مرة أخرى أشتق مرة أخرى
+
+156
+00:19:42,100 --> 00:19:59,230
+2AC زائد AD أيضا يساوي صفر أنا
+
+157
+00:19:59,230 --> 00:20:05,850
+القيم عندي معروفة VD و AD معناته عرفنا VC
+
+158
+00:20:05,850 --> 00:20:09,290
+و AC معناته نعرف عندنا
+
+159
+00:20:16,700 --> 00:20:27,140
+VC يساوي ناقص نصف VD يعني ستكون قيمة سرعة C نصف VD
+
+160
+00:20:27,140 --> 00:20:37,500
+في الاتجاه المعاكس وAC يساوي نصف AD
+
+161
+00:20:46,910 --> 00:20:55,990
+طيب ناخذ الحبل الثاني L4 L4
+
+162
+00:20:55,990 --> 00:21:03,150
+زائد L5 أيضا هو ثابت هذا زائد هذا ثابت
+
+163
+00:21:03,150 --> 00:21:10,630
+الاربعة XD زائد XM صح؟
+
+164
+00:21:15,210 --> 00:21:26,230
+يساوي constant إذا اشتقينا سنحصل على VD زائد VM يساوي
+
+165
+00:21:26,230 --> 00:21:38,050
+صفر و AD زائد AM يساوي صفر معناته ال VD يساوي VM
+
+166
+00:21:44,300 --> 00:21:49,660
+سنكتبها هنا ال
+
+167
+00:21:49,660 --> 00:21:54,700
+VD يساوي
+
+168
+00:21:54,700 --> 00:22:01,640
+أو ال VM يساوي
+
+169
+00:22:01,640 --> 00:22:12,040
+ناقص VD و ال AM يساوي
+
+170
+00:22:12,040 --> 00:22:21,110
+ناقص ماذا؟ سرعة و تسارع الحبل
+
+171
+00:22:21,110 --> 00:22:27,070
+المربوط في الموتور نفس سرعة المصعد لكن في الاتجاه
+
+172
+00:22:27,070 --> 00:22:31,830
+المعاكس الحبل
+
+173
+00:22:31,830 --> 00:22:37,350
+الخاص بالدراسة هل يتغير طوله؟ لا لا
+
+174
+00:22:37,350 --> 00:22:41,730
+هو مربوط بالموتور تخيل اني قمت بقصه واصبحت
+
+175
+00:22:41,730 --> 00:22:46,920
+أسحب فيه هو ليس كما هو ليس كما هو متصور بل هو كأنه
+
+176
+00:22:46,920 --> 00:22:52,700
+مقطوع وأنا أسحب وتحت و عندي المسافة تتغير
+
+177
+00:22:52,700 --> 00:22:56,860
+الفكرة أنا ألفت حول ال أنا ألفت حول ماذا؟
+
+178
+00:22:56,860 --> 00:23:10,240
+حول ال البكرة تحت الموتور طيب
+
+179
+00:23:15,480 --> 00:23:17,920
+لحسابها من الآخر لحساب ال power الخاصة ب
+
+180
+00:23:17,920 --> 00:23:22,400
+الموتور نحتاج حساب الشد في الحبل ال power ماذا
+
+181
+00:23:22,400 --> 00:23:30,360
+يساوي ال power ال P الخاصة بالموتور ستكون ال V الخاصة ب
+
+182
+00:23:30,360 --> 00:23:36,560
+الموتور في الشد في الحبل أقول الشد في الحبل
+
+183
+00:23:36,560 --> 00:23:41,240
+هذا في الحبل الحبل T واحد في الحبل
+
+184
+00:23:41,240 --> 00:23:51,000
+الثاني T اثنين في T اثنين قلت اني عرفنا
+
+185
+00:23:51,000 --> 00:23:58,900
+Vm يساوي VD قيمة صحيحة؟ أحتاج ان أعرف T اثنين معناته
+
+186
+00:23:58,900 --> 0:24:03,500
+سنعمل free body diagram لهذا سنعمل free body
+
+187
+00:24:03,500 --> 00:24:10,240
+diagram لهذا ما هي القوى المؤثرة عليه؟
+
+188
+00:24:24,210 --> 00:24:35,070
+الوزن هذا و هذا و
+
+189
+00:24:35,070 --> 00:24:40,630
+T2 و
+
+190
+00:24:40,630 --> 00:24:41,250
+T1
+
+191
+00:24:46,500 --> 00:24:50,820
+ستساوي D
+
+192
+00:24:50,820 --> 00:24:57,540
+في ال
+
+193
+00:24:57,540 --> 00:25:04,760
+ال acceleration الاعلى صحيح؟ الذي هو M في D ال WD
+
+194
+00:25:04,760 --> 00:25:11,940
+على G في AD صحيح؟
+
+195
+00:25:17,990 --> 00:25:29,750
+سنقول هذا في الاتجاه الموجب إذا
+
+196
+00:25:29,75
+
+223
+00:29:29,440 --> 00:29:29,920
+بالساوية
+
+224
+00:29:32,750 --> 00:29:40,130
+مش سالب لأ، مش سالب لما نعوض، هي ما عوضناهاش سالب لأن
+
+225
+00:29:40,130 --> 00:29:43,990
+ورا هي أنا، هي أنا شايف، شايف حط اتجاه مابيعدين
+
+226
+00:29:43,990 --> 00:29:49,390
+للإشارة، الشوص مش زي اللي إنك تسبع، هيكون T واحد
+
+227
+00:29:49,390 --> 00:29:58,990
+بالساوية WC على اتنين × واحد minus الـ AC حكيه
+
+228
+00:29:58,990 --> 00:30:09,270
+ناقص نص الـ AD minus AD على اتنين G، أنا هعوض هنا
+
+229
+00:30:09,270 --> 00:30:14,350
+هحسب لأن T واحد صارت معروفة عندي، هحسب عندي T اتنين
+
+230
+00:30:14,350 --> 00:30:22,410
+بالساوي WD، أنا عملتها بالرموز عشان ده situation
+
+231
+00:30:22,410 --> 00:30:28,290
+معين AD و WD في واحد زائد AD
+
+232
+00:30:37,320 --> 00:30:43,820
+اللي هي WC على
+
+233
+00:30:43,820 --> 00:30:53,460
+اتنين × واحد minus AD على اتنين G
+
+234
+00:31:00,320 --> 00:31:10,400
+هدخل الترمات، هتكون ساوية WD minus
+
+235
+00:31:10,400 --> 00:31:13,500
+WC
+
+236
+00:31:13,500 --> 00:31:19,520
+على اتنين زائد
+
+237
+00:31:19,520 --> 00:31:23,920
+AD
+
+238
+00:31:23,920 --> 00:31:26,960
+على G
+
+239
+00:31:30,590 --> 00:31:35,810
+عام مشترك AD
+
+240
+00:31:35,810 --> 00:31:41,330
+على G عام مشترك، هيكون الـ WD
+
+241
+00:31:41,330 --> 00:31:48,410
+زائد
+
+242
+00:31:48,410 --> 00:31:51,950
+WC
+
+243
+00:31:51,950 --> 00:31:55,210
+على 4
+
+244
+00:32:02,280 --> 00:32:21,540
+هذا الـ T2 طبعاً
+
+245
+00:32:22,870 --> 00:32:28,050
+احنا حكينا الـ power بيستوي الـ VM في T اتنين، و الـ
+
+246
+00:32:28,050 --> 00:32:35,950
+VM تماماً بيستوي الـ VD صح؟ يعني الـ power هتكون
+
+247
+00:32:35,950 --> 00:32:45,890
+تستوي VD في T اتنين
+
+248
+00:32:53,410 --> 00:32:56,870
+الآن لاحظوا لو كان الـ .. الـ .. الـ elevator ماشي
+
+249
+00:32:56,870 --> 00:33:04,310
+بسرعة منتظمة، معناته الـ a دي إيش بتساوي؟ صفر، معناته
+
+250
+00:33:04,310 --> 00:33:12,390
+كل الـ term هذا zero، معناته أنا جزء من الطاقة
+
+251
+00:33:12,390 --> 00:33:19,770
+بتاعتي بستخدمها عشان أشيل الأحمال بتاعته، و عشان to
+
+252
+00:33:19,770 --> 00:33:23,870
+accelerate، معناته في البداية، أول ما أشغل كبسة
+
+253
+00:33:23,870 --> 00:33:29,530
+الأسانسير، بتحتاج power عالية لأنه أنا ببدأ من
+
+254
+00:33:29,530 --> 00:33:33,970
+الصفر، هو لحد ما يوصل لـ steady state، متى بوصل الـ steady
+
+255
+00:33:33,970 --> 00:33:37,650
+state، بتنزل الـ power تاني، يعني بنزل الأمبير على
+
+256
+00:33:37,650 --> 00:33:42,150
+الموتور، هي أول شغلة، شغلة تانية
+
+257
+00:33:46,130 --> 00:33:50,210
+وجود الـ counterweight، يعني أتخيل إنه .. أتخيل
+
+258
+00:33:50,210 --> 00:34:04,970
+خلينا نحسب .. خلينا نحسب التالي، نعمل زي جدول عندي
+
+259
+00:34:04,970 --> 00:34:12,510
+هاي الـ WD و
+
+260
+00:34:12,510 --> 00:34:24,390
+هاي WC، WD عندنا في البداية كام كانت؟ ستمية، و
+
+261
+00:34:24,390 --> 00:34:33,070
+WC تمانمية، وعندي
+
+262
+00:34:33,070 --> 00:34:39,510
+الـ AD
+
+263
+00:34:39,510 --> 00:34:40,390
+AD اتنين و نص
+
+264
+00:34:48,110 --> 00:34:56,090
+الـ AD و الـ VD تمانية
+
+265
+00:34:56,090 --> 00:35:07,190
+و
+
+266
+00:35:07,190 --> 00:35:16,790
+بده احسب الـ T2 و
+
+267
+00:35:16,790 --> 00:35:17,470
+بده احسب الـ power
+
+268
+00:35:23,780 --> 00:35:24,980
+هنعمل عكس الشيء
+
+269
+00:35:53,790 --> 00:36:03,430
+احنا عندنا WD مظبوط، then WC بعدين
+
+270
+00:36:03,430 --> 00:36:18,570
+VD، AD، AD، V، VD، نعم، T2
+
+271
+00:36:24,640 --> 00:36:25,740
+بعدين الـ power
+
+272
+00:36:52,410 --> 00:37:00,350
+أول trial عندي، الـ WD كام؟ ستمية، الـ WC تمانمية، الـ
+
+273
+00:37:00,350 --> 00:37:09,230
+AD اتنين و نص، الـ VD تمانية، الـ T اتنين، خلينا نحسب
+
+274
+00:37:09,230 --> 00:37:15,530
+كمان الـ T واحد، الـ
+
+275
+00:37:15,530 --> 00:37:19,730
+T واحد، خلينا نحسب الـ T واحد
+
+276
+00:37:23,090 --> 00:37:32,270
+WC على اتنين × واحد minus AD على اتنين G، يعني
+
+277
+00:37:32,270 --> 00:37:40,810
+بتساوي اللي هو WC
+
+278
+00:37:40,810 --> 00:37:50,090
+على اتنين × واحد
+
+279
+00:37:50,090 --> 00:37:59,260
+minus AD على اتنين على G اللي هي اتنين و
+
+280
+00:37:59,260 --> 00:38:06,880
+تلاتين point اتنين على
+
+281
+00:38:06,880 --> 00:38:10,140
+اتنين
+
+282
+00:38:10,140 --> 00:38:13,680
+ماشي
+
+283
+00:38:13,680 --> 00:38:16,820
+خليني
+
+284
+00:38:16,820 --> 00:38:17,700
+أسهل الأرقام
+
+285
+00:38:22,060 --> 00:38:36,680
+T2 بيستوي WD × 1 زائد AD على G، بيستوي WD ×
+
+286
+00:38:36,680 --> 00:38:49,040
+1 زائد AD على G 32.2 ناقص T1
+
+287
+00:38:56,980 --> 00:39:08,660
+الـ power شو ساوي؟ T2 × VD، صح؟ ساوي T2 × VD
+
+288
+00:39:08,660 --> 00:39:18,360
+الـ power، تطلع وحدتها pound force foot، هنعمل
+
+289
+00:39:18,360 --> 00:39:25,680
+trial تانية، نفس المصعد، وزن 600
+
+290
+00:39:28,910 --> 00:39:33,790
+بديش أحط counter weight، بدون counter weight، هاي
+
+291
+00:39:33,790 --> 00:39:40,410
+صفر، ونفس الـ acceleration اتنين و نص، ونفس السرعة
+
+292
+00:39:40,410 --> 00:39:49,210
+تمانية، الـ power كام ارتفعت؟ رقم كبير، أكتر من مضاعف
+
+293
+00:39:49,210 --> 00:39:56,890
+صح؟ طيب، هنشوف الـ trial تالتة، بدي أحكي على نفس
+
+294
+00:39:56,890 --> 00:40:05,530
+الأسانسير الـ 600، وفي counterweight 800، وفيش
+
+295
+00:40:05,530 --> 00:40:10,610
+acceleration صفر، وفيه سرعة، نفس السرعة، طالع يعني
+
+296
+00:40:10,610 --> 00:40:16,670
+بعد ما صار الـ 6 ستة تمانية، كام نزل الـ power؟ نزلت
+
+297
+00:40:16,670 --> 00:40:23,990
+من 2000 و 97 لـ 1600، يعني حوالي 400، حوالي 500 نزلت
+
+298
+00:40:23,990 --> 00:40:32,350
+الربع، طيب الحالة الرابعة، هي
+
+299
+00:40:32,350 --> 00:40:37,250
+الـ trick بيحطوا counter weight عشان يقلل الـ power
+
+300
+00:40:37,250 --> 00:40:41,310
+والوزن، خلاص وزن تحطه مرة واحدة، ووزن ثابت، وإحبال
+
+301
+00:40:41,310 --> 00:40:51,580
+عندك، هاي الوزن ستمية، ماشي، بتدخل counter weight صفر
+
+302
+00:40:51,580 --> 00:41:02,460
+والـ acceleration صفر، والسرعة تمانية طبعاً
+
+303
+00:41:02,460 --> 00:41:05,060
+اللي بده أقارن اتنين مع أربعة، نتيجة فيش
+
+304
+00:41:05,060 --> 00:41:09,780
+acceleration، نزل الـ power، بس نتيجة عدم في counter
+
+305
+00:41:09,780 --> 00:41:16,200
+weight، نزلنا الـ power، حاول الـ trial خمسة، هي خمسة
+
+306
+00:41:16,200 --> 00:41:22,650
+على نفس المسألة، الوزن ستمية، ستمية، وخلنا نسبة الـ
+
+307
+00:41:22,650 --> 00:41:29,050
+accelerator اتنين و نص، والسرعة تمانية، ماشي، بده أحط
+
+308
+00:41:29,050 --> 00:41:38,070
+الـ counter weight، أشوف الف، طب
+
+309
+00:41:38,070 --> 00:41:45,370
+نجرب كمان الألف، نشوف إيش يصير معانا، لأ، مظبوطش معنا
+
+310
+00:41:45,370 --> 00:41:46,950
+نجرب الألف وخمسمية
+
+311
+00:41:50,860 --> 00:41:58,640
+نجرب ألف وميتين، نجرب ألف وتلاتمية،
+
+312
+00:41:58,640 --> 00:42:07,600
+نجرب ألف وأربعمية، نجرب ألف وتلاتمية وخمسين،
+
+313
+00:42:07,600 --> 00:42:13,700
+نجرب ألف وتلاتمية وأربعين، نجرب ألف وتلاتمية و
+
+314
+00:42:13,700 --> 00:42:20,110
+خمسة وأربعين،وصلت لموضوع إيش فيه عادية الـ
+
+315
+00:42:20,110 --> 00:42:23,850
+counterweight، أنا في الـ counterweight بلعب بلعب الـ
+
+316
+00:42:23,850 --> 00:42:31,250
+power، فالـ counterweight كتير مهم في المصاعد، فأنا
+
+317
+00:42:31,250 --> 00:42:35,370
+ممكن أخلي اللي أحط counterweight بس الأحبال تشيل
+
+318
+00:42:35,370 --> 00:42:41,050
+طبعاً
+
+319
+00:42:41,050 --> 00:42:47,770
+الشيء بيكون، يعني compromise، حل وسط بين أكتر من شغلة
+
+320
+00:42:47,770 --> 00:42:56,990
+أنا أختار أحبال وبكرات وbearings والـ friction
+
+321
+00:42:56,990 --> 00:43:00,470
+بين البكرات، يعني في بدك توازن بين كذا شغلة، بس لو
+
+322
+00:43:00,470 --> 00:43:03,810
+أنا بس ركزت بس في الـ counter weight، شوف إيش بسوي
+
+323
+00:43:03,810 --> 00:43:09,980
+في الـ power، يعني هو كنت أخلي motor، موتور، يعني موتور
+
+324
+00:43:09,980 --> 00:43:14,460
+.. موتور صغير، وموتور .. أشيل الـ .. أشيل في الـ .. الـ
+
+325
+00:43:14,460 --> 00:43:30,780
+.. الـ 600 pound يعني حوالي 300 كيلو، طيب
+
+326
+00:43:30,780 --> 00:43:31,680
+هتلاقي تعمل file
+
+327
+00:43:54,390 --> 00:44:00,250
+فهو ارتأى إنه أحط counterweight، إذا بدي آخذ كل
+
+328
+00:44:00,250 --> 00:44:06,950
+التفاصيل، كل التفاصيل، غير
+
+329
+00:44:06,950 --> 00:44:11,230
+هيك فيه تفاصيل فنية، حتى لو بنفع، حتى لو بنفع أنتَ
+
+330
+00:44:11,230 --> 00:44:14,130
+في الآخر بدك تكون الـ motor متناسب مع الـ .. الـ
+
+331
+00:44:14,130 --> 00:44:16,470
+gearbox، مع الـ .. يعني في عندك gearbox
+
+332
+00:44:19,870 --> 00:44:22,790
+مظبوط؟ بدها الـ chefs تتركب مع بعض، يعني في تفاصيل
+
+333
+00:44:22,790 --> 00:44:27,350
+بتخليك تعمل، مش لحالة الـ counterweight هو العنصر
+
+334
+00:44:27,350 --> 00:44:30,430
+اللي هو مش غير في الدنيا، لأ، في حاجات تانية لازم
+
+335
+00:44:30,430 --> 00:44:38,890
+أفكر فيها، في
+
+336
+00:44:38,890 --> 00:44:39,590
+أي سؤال؟
+
+337
+00:44:43,430 --> 00:44:48,390
+فاحنا أخذنا الحالتين، لما كانت الـ acceleration اتنين
+
+338
+00:44:48,390 --> 00:44:57,410
+و نص، كانت الـ power 2097، لما
+
+339
+00:44:57,410 --> 00:45:10,490
+كانت الـ acceleration zero، 1600، إيه؟
+
+340
+00:45:10,490 --> 00:45:19,850
+في آخر حالة، أيوة، وين؟ مافيش حبل، مافيش C، نعم؟ هو
+
+341
+00:45:19,850 --> 00:45:26,910
+مش صفر، قلت لما تروح، أقوله قيمة، يعني قُلُّص، مش فيه
+
+342
+00:45:26,910 --> 00:45:30,630
+شد، يعني الـ power معظمها جاية من السرعة
+
+343
+00:45:41,750 --> 00:45:46,190
+ماشي، هيك ما خلصت المحاضرة، تبتدي كل حاجة
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/nBLgRMQauhk_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/nBLgRMQauhk_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..6dacc2a4facd8df3fb78ac6814eb4cc105f78d75
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/nBLgRMQauhk_postprocess.srt
@@ -0,0 +1,1372 @@
+1
+00:00:05,040 --> 00:00:08,020
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,020 --> 00:00:12,000
+وبركاته هنكمل في مادة الديناميكا حاليا في ال
+
+3
+00:00:12,000 --> 00:00:16,720
+chapter التالت ال energy and momentum methods
+
+4
+00:00:16,720 --> 00:00:21,880
+المرة فترحنا ال energy method اللي هي T1 زادي 1 ل
+
+5
+00:00:21,880 --> 00:00:30,100
+2 بيستوى T2 حلنا تلت examples هنحل كمان examples و
+
+6
+00:00:30,100 --> 00:00:32,680
+نكمل هنشوف example حاليا
+
+7
+00:00:37,020 --> 00:00:41,080
+عندي a two thousand pound car starts from rest at
+
+8
+00:00:41,080 --> 00:00:43,580
+point one and moves without freshen down the
+
+9
+00:00:43,580 --> 00:00:56,300
+traction في هذه السيارة وزنها الفين pound بدت
+
+10
+00:00:56,300 --> 00:01:05,000
+من السكون النقطة واحد يعني V واحد سوى
+
+11
+00:01:05,000 --> 00:01:05,420
+السفر
+
+12
+00:01:08,800 --> 00:01:11,980
+و بتمشي على مصار بدون احتكاك يعني مافيش عندى
+
+13
+00:01:11,980 --> 00:01:18,560
+احتكاك no friction
+
+14
+00:01:18,560 --> 00:01:23,300
+determine force exerted by the track on the car at
+
+15
+00:01:23,300 --> 00:01:26,980
+point two اجد القوة المؤثرة على السيارة عند نقطة
+
+16
+00:01:26,980 --> 00:01:35,760
+اتنين انا عند هاي ال track هاي
+
+17
+00:01:35,760 --> 00:01:37,240
+واحد
+
+18
+00:01:40,540 --> 00:01:44,620
+و هذه اتنين وهذه
+
+19
+00:01:44,620 --> 00:01:48,020
+ثلاثة
+
+20
+00:01:48,020 --> 00:01:52,100
+الان
+
+21
+00:01:52,100 --> 00:01:58,760
+هعتبر هذا هو ال reference
+
+22
+00:01:58,760 --> 00:02:05,600
+حاجة
+
+23
+00:02:05,600 --> 00:02:08,640
+باستخدام ال energy method هدرس الحركة من واحد
+
+24
+00:02:08,640 --> 00:02:25,520
+لاتنينأكون عندى T1 زي U1 ل 2 ساوي T2 طيب هو بحكي
+
+25
+00:02:25,520 --> 00:02:31,240
+اللي بدأ من السكون معناه T1 مش بالساوي T1 بالساوي
+
+26
+00:02:31,240 --> 00:02:36,380
+0 و T2 نص
+
+27
+00:02:39,870 --> 00:02:53,350
+mv2 تربيعه سواء و نص الام اللي هي w على ga ال
+
+28
+00:02:53,350 --> 00:02:59,250
+U واحد لاتنين الجسم بيكون تحت أثير وزنه صح؟ يعني
+
+29
+00:02:59,250 --> 00:03:04,950
+هتكون U واحد لاتنين هيكون الوزن W
+
+30
+00:03:08,370 --> 00:03:14,930
+في المسافة اللي هي اكتر من اربعين قدم صح؟
+
+31
+00:03:14,930 --> 00:03:18,210
+هنا
+
+32
+00:03:18,210 --> 00:03:27,010
+هتكون اربعين في W العوض
+
+33
+00:03:27,010 --> 00:03:36,590
+هنا T واحد السفر زاد يواحد لاتنين اربعين W سوى T
+
+34
+00:03:36,590 --> 00:03:37,750
+اتنين اللي هي نص
+
+35
+00:03:40,990 --> 00:03:57,070
+w على g v2 تربيع هتروح w مع w بالصفة v2 تربيع
+
+36
+00:03:57,070 --> 00:04:03,870
+هتكون تمانين في
+
+37
+00:04:03,870 --> 00:04:12,680
+g اللي هي اتنين و تلاتينو اتنين من عشرة يعني V2
+
+38
+00:04:12,680 --> 00:04:17,320
+هتكون جدًا ترفيه على تمانين في اتنين و تلاتين و
+
+39
+00:04:17,320 --> 00:04:23,080
+اتنين من عشرة سويياها خمسين
+
+40
+00:04:23,080 --> 00:04:29,380
+قدم
+
+41
+00:04:29,380 --> 00:04:32,240
+لكل ثانية
+
+42
+00:04:35,300 --> 00:04:40,420
+هو بده ال force اللى بتأثر ال force من اللى تراك
+
+43
+00:04:40,420 --> 00:04:43,520
+على السيارة عند اتنين فانت حارسه on three body
+
+44
+00:04:43,520 --> 00:04:54,220
+diagrams صح؟ هاى السيارة عند اتنين بيأثر
+
+45
+00:04:54,220 --> 00:04:59,120
+وزنها اللى تحت و
+
+46
+00:04:59,120 --> 00:05:04,820
+فى رد الفعل العمودي and صح؟
+
+47
+00:05:07,440 --> 00:05:25,200
+في acceleration الوزن
+
+48
+00:05:25,200 --> 00:05:27,440
+بسم الله مش سالف جي
+
+49
+00:05:32,320 --> 00:05:35,620
+هو في مصار هكون ال component normal component هكون
+
+50
+00:05:35,620 --> 00:05:41,280
+m a normal صح هتكون تساوي m
+
+51
+00:05:41,280 --> 00:05:48,860
+a normal مظبوط ال
+
+52
+00:05:48,860 --> 00:05:57,340
+summation فانا احكي هاي ال x و هاي ال y summation
+
+53
+00:05:57,340 --> 00:05:59,540
+ال fy
+
+54
+00:06:02,440 --> 00:06:10,340
+هالاتجاه الموجب هتساوي الحلقة دي M A Normal هتكمل
+
+55
+00:06:10,340 --> 00:06:18,500
+معناته N minus W بساوي M A Normal M اللي هي W على
+
+56
+00:06:18,500 --> 00:06:26,460
+G ال A Normal إيش بيساوي V
+
+57
+00:06:26,460 --> 00:06:28,900
+تنين تربيع على رو
+
+58
+00:06:32,020 --> 00:06:39,360
+هم عطيني نصف كتر ال raw عندهين اللي
+
+59
+00:06:39,360 --> 00:06:45,840
+هي عشرين قدم ال
+
+60
+00:06:45,840 --> 00:06:55,460
+a نور اللي هي V تنين تربيع على raw يعني ال N ال
+
+61
+00:06:55,460 --> 00:06:59,360
+force هتكون ساوي W
+
+62
+00:07:02,090 --> 00:07:14,530
+في واحد زاد V تنين تربيع على رو في G يعني نعوض
+
+63
+00:07:14,530 --> 00:07:18,790
+عندي ألفين في
+
+64
+00:07:18,790 --> 00:07:25,510
+واحد V تنين تربيع اللي هي التمانين في اتنين و
+
+65
+00:07:25,510 --> 00:07:32,380
+تلاتين و اتنين من عشرة على رو اللي هي عشرينوال G
+
+66
+00:07:32,380 --> 00:07:40,700
+أكم 32 و 2 من 10 28
+
+67
+00:07:40,700 --> 00:07:53,780
+على 20 أكم 4 زاد 1 خمسة يعني
+
+68
+00:07:53,780 --> 00:07:56,800
+هتكون عشر تلاف pound
+
+69
+00:08:02,290 --> 00:08:06,870
+هذا المطلوب الأول المطلوب
+
+70
+00:08:06,870 --> 00:08:16,710
+التاني find the minimum safe value of the radius
+
+71
+00:08:16,710 --> 00:08:24,010
+of curvature at point three ايش
+
+72
+00:08:24,010 --> 00:08:26,530
+يعني minimum safe value عند النقطة ده ايش معناه
+
+73
+00:08:26,530 --> 00:08:33,090
+minimum safe value يعني بتكونإذا السرعة زادت عن حد
+
+74
+00:08:33,090 --> 00:08:37,930
+معين نفقد التلامس يعني ال critical اللي هو فقدان
+
+75
+00:08:37,930 --> 00:08:47,110
+التلامس يعني مافي normal force مافي اللي هو ال
+
+76
+00:08:47,110 --> 00:08:51,150
+minimum safe value
+
+77
+00:08:58,850 --> 00:09:06,310
+at point three بتصير
+
+78
+00:09:06,310 --> 00:09:11,170
+لما occurs at
+
+79
+00:09:11,170 --> 00:09:17,870
+the instant when
+
+80
+00:09:17,870 --> 00:09:24,570
+the car is
+
+81
+00:09:24,570 --> 00:09:27,430
+just touching
+
+82
+00:09:33,040 --> 00:09:39,880
+the track يعني لو أرسم في ريبا دياجرام عندي three
+
+83
+00:09:39,880 --> 00:09:49,180
+هيكون في عنده الوزن ال W وفيه ال normal force اللي
+
+84
+00:09:49,180 --> 00:09:55,260
+هي بتكون عشان الساوية zero صح؟
+
+85
+00:09:55,260 --> 00:09:58,340
+بتكون
+
+86
+00:09:58,340 --> 00:10:03,700
+الساويةطبعا ال radius جاي لتحت فانتوا هتكون ال a
+
+87
+00:10:03,700 --> 00:10:14,960
+normal لتحت مستوى m a normal هاي ال x و هاي ايش ال
+
+88
+00:10:14,960 --> 00:10:19,460
+y احنا
+
+89
+00:10:19,460 --> 00:10:24,340
+ماخدت summation of forces باتجاه
+
+90
+00:10:24,340 --> 00:10:30,160
+ال y و اعتبرت الموجة لتحت مثلا في الحالة هذههتكون
+
+91
+00:10:30,160 --> 00:10:37,660
+تستوى M A Normal يعني هتكون W ناقص N في الحالة دي
+
+92
+00:10:37,660 --> 00:10:48,960
+تستوى سفر W بتستوى M A Normal M اللي هي W على G في
+
+93
+00:10:48,960 --> 00:10:57,040
+M A Normal اللي هي V تلاتة تربيع على روبت صح؟
+
+94
+00:11:00,650 --> 00:11:04,230
+يعني نختصر ال رو يعني هتكون عند ال رو نختصر ال W
+
+95
+00:11:04,230 --> 00:11:08,270
+رو
+
+96
+00:11:08,270 --> 00:11:16,070
+بالساوية V تلاتة تربيع على
+
+97
+00:11:16,070 --> 00:11:24,950
+G معناته
+
+98
+00:11:24,950 --> 00:11:37,930
+محتاج اعمل احسب V تلاتةممكن احكي T واحد زاد U واحد
+
+99
+00:11:37,930 --> 00:11:46,670
+لتلاته ايش الساوي؟ T تلاته صح؟ T واحد بدأ من
+
+100
+00:11:46,670 --> 00:11:55,170
+السكون صفر زاد U واحد لتلاته عند هنا عشرين قدم و
+
+101
+00:11:55,170 --> 00:12:02,260
+هذه المسافة كام؟ خمس أستاشريعني المسافة ال نت
+
+102
+00:12:02,260 --> 00:12:06,400
+المشاهد مشاهد اربعين نقص خمس عشر خمس عشرين هتكون
+
+103
+00:12:06,400 --> 00:12:11,400
+خمس عشرين W
+
+104
+00:12:11,400 --> 00:12:20,860
+بساوية T تلاتة اللي هي نص M اللي هي W على G V
+
+105
+00:12:20,860 --> 00:12:28,180
+تلاتة تربيع يعني هتكون V تلاتة تربيع
+
+106
+00:12:31,320 --> 00:12:36,040
+هتكون تساوي اتنين
+
+107
+00:12:36,040 --> 00:12:47,780
+في خمس و عشرين خمسين جي صح خمسين جي اذا بقود عن ال
+
+108
+00:12:47,780 --> 00:12:57,380
+V تلاتر في رو هتكون عندهين خمسين جي على جي يعني ال
+
+109
+00:12:57,380 --> 00:12:58,100
+رو تطلع كام
+
+110
+00:13:00,800 --> 00:13:06,680
+خمسين قدم يعني
+
+111
+00:13:06,680 --> 00:13:12,820
+إذا ال raw قلت عن الخمسين يعني السيارة هتفقد
+
+112
+00:13:12,820 --> 00:13:20,820
+التلامس مع الأرض السيارة هتفقد التلامس مع الأرض في
+
+113
+00:13:20,820 --> 00:13:24,800
+أي سؤال؟ شوف مثال تاني
+
+114
+00:13:51,310 --> 00:13:59,470
+فاندي elevator دي مصعد and
+
+115
+00:13:59,470 --> 00:14:02,490
+its load have a combined weight of six hundred
+
+116
+00:14:02,490 --> 00:14:13,250
+pound يعني المصعد و الحمل بتاعه ستمية pound W بتاع
+
+117
+00:14:13,250 --> 00:14:18,830
+المصعد دي ستمية pound
+
+118
+00:14:22,060 --> 00:14:26,240
+while counterweight C weighs eight hundred pound
+
+119
+00:14:26,240 --> 00:14:37,840
+في عند الوزن المعاكس C تمانمية pound و WC تمانمية
+
+120
+00:14:37,840 --> 00:14:38,400
+pound
+
+121
+00:14:48,450 --> 00:14:51,230
+Determine the power delivered by the electric
+
+122
+00:14:51,230 --> 00:14:57,410
+motor M when the elevator احسب قيمة القدرة المحرك
+
+123
+00:14:57,410 --> 00:15:05,410
+Mأولش لما ال elevator when the elevator has an
+
+124
+00:15:05,410 --> 00:15:12,010
+instantaneous velocity of 8 feet per second and an
+
+125
+00:15:12,010 --> 00:15:16,190
+acceleration of 2.5 feet per second both directed
+
+126
+00:15:16,190 --> 00:15:21,470
+upward يعني نحصل power نحصل power لما كان سرعة
+
+127
+00:15:21,470 --> 00:15:28,870
+التدائية للمصعد VD بتساوي
+
+128
+00:15:31,730 --> 00:15:36,330
+تمانية قدم لكل
+
+129
+00:15:36,330 --> 00:15:43,170
+ثانية لأعلى و ال acceleration كان طالب التسارع
+
+130
+00:15:43,170 --> 00:15:49,310
+قيمته اتنين و نص قدم
+
+131
+00:15:49,310 --> 00:15:58,350
+على ثانية تربيع برضه لأعلى احنا
+
+132
+00:15:58,350 --> 00:16:00,170
+خلينا نرسم هنا ان هذه المصعد
+
+133
+00:16:10,210 --> 00:16:25,230
+عندي هنا بكرة وعندي
+
+134
+00:16:25,230 --> 00:16:26,970
+كمان بكرة جانبها
+
+135
+00:16:46,690 --> 00:16:51,310
+عندي هذا D وعندي
+
+136
+00:16:51,310 --> 00:16:56,810
+هنا counterweight هاي
+
+137
+00:16:56,810 --> 00:17:09,690
+بكره تانية C
+
+138
+00:17:09,690 --> 00:17:12,630
+وعندي هنا
+
+139
+00:17:18,400 --> 00:17:23,140
+اللي هي ال motor يعني انا بس ه .. كأنه ماسكه بحبل
+
+140
+00:17:23,140 --> 00:17:30,080
+و بقى أشده عندي M لأ
+
+141
+00:17:30,080 --> 00:17:42,000
+خليني أعرف ال frame of reference هحكي ها دي XD وهو
+
+142
+00:17:42,000 --> 00:17:43,360
+ها دي XC
+
+143
+00:17:52,690 --> 00:18:01,690
+و هذه XM
+
+144
+00:18:01,690 --> 00:18:10,150
+لأن
+
+145
+00:18:10,150 --> 00:18:14,990
+هذه حركة مرتبطة يعني الأجسام مربطة مع بعض الحركة
+
+146
+00:18:14,990 --> 00:18:22,550
+من خلال الإحبال والبكرات عندي حبلين هي حبلو هي حبل
+
+147
+00:18:22,550 --> 00:18:30,770
+يعني طول الحبل الأول هذا ثابت صح؟ هنحكي هنا عندي
+
+148
+00:18:30,770 --> 00:18:41,770
+الواحد الاتنين التلاتة الاربعة و الخمسة صح؟ عندي
+
+149
+00:18:41,770 --> 00:18:48,910
+الواحد زاد الاتنين زاد التلاتة بالسواش constant
+
+150
+00:18:51,050 --> 00:18:56,270
+يعني هتكون XC الواحد
+
+151
+00:18:56,270 --> 00:19:10,030
+XC والاتنين زائد XC والتلاتة XD بالساعة
+
+152
+00:19:10,030 --> 00:19:18,620
+constant المعنى هو اتنين XC زائد XDبساوي constant
+
+153
+00:19:18,620 --> 00:19:28,060
+معناته زي بشتق بيسيان اتنين VC اتنين VC زاد VD
+
+154
+00:19:28,060 --> 00:19:36,120
+بساوي صفر هد
+
+155
+00:19:36,120 --> 00:19:42,100
+حاجة بالحاجة يعني عليه الحاجة الأول بشتق كمان مرة
+
+156
+00:19:42,100 --> 00:19:59,230
+اتنينAC زائد AD برضه بالساوية سفر انا
+
+157
+00:19:59,230 --> 00:20:05,850
+الموقعات عند معروفها ال VD و ال AD معناه تعرفت VC
+
+158
+00:20:05,850 --> 00:20:09,290
+و AC معناه تحسير عندهين
+
+159
+00:20:16,700 --> 00:20:27,140
+VC بساوة ناقص نص VD يعني هتكون قيمة صورة C نص VD
+
+160
+00:20:27,140 --> 00:20:37,500
+باتجاه المعاكس وAC صورة نص AD
+
+161
+00:20:46,910 --> 00:20:55,990
+طيب ناخد الحبل التاني L4 L4
+
+162
+00:20:55,990 --> 00:21:03,150
+زاد L5 برضه بس هو constant هذا زاد هذا تابع
+
+163
+00:21:03,150 --> 00:21:10,630
+الاربعاش هي XD زاد XM صح؟
+
+164
+00:21:15,210 --> 00:21:26,230
+بساوة constant اذا بشطق حكوا عندك VD زائد VM بساوة
+
+165
+00:21:26,230 --> 00:21:38,050
+صفر و AD زائد AM بساوة صفر معناته ال VD بساوة VM
+
+166
+00:21:44,300 --> 00:21:49,660
+تكتبها هنا ال
+
+167
+00:21:49,660 --> 00:21:54,700
+VD بالسواء
+
+168
+00:21:54,700 --> 00:22:01,640
+او ال VM بالسواء
+
+169
+00:22:01,640 --> 00:22:12,040
+minus VD و ال AM بالسواء
+
+170
+00:22:12,040 --> 00:22:21,110
+minusإيه دي؟ بنيته السرعة وال acceleration للحبل
+
+171
+00:22:21,110 --> 00:22:27,070
+المربوط في الموتور نفس سرعة المصعد لكن باتجاه
+
+172
+00:22:27,070 --> 00:22:31,830
+المعاكس الحبل
+
+173
+00:22:31,830 --> 00:22:37,350
+تبع الشهوزان الدراسة مانا عمرا ماتغير طول؟ لأ لأ
+
+174
+00:22:37,350 --> 00:22:41,730
+هو مبسوط بالموتور أنت تخيل أن أنا عملتله قطع وصرت
+
+175
+00:22:41,730 --> 00:22:46,920
+شد فيههو .. مش .. مش زي ما هو مصطلح لا هو كأنه
+
+176
+00:22:46,920 --> 00:22:52,700
+مقطوع و انا بشدله تحته و عندي البسافة بفتوحة هي
+
+177
+00:22:52,700 --> 00:22:56,860
+الفكرة انا بلف على ال .. انا فلاخر بلف على ايش؟
+
+178
+00:22:56,860 --> 00:23:10,240
+على ال .. على البكرة تحت المطور طيب
+
+179
+00:23:15,480 --> 00:23:17,920
+عشان نجيبها من الآخر عشان نحسب ال power بتاعة
+
+180
+00:23:17,920 --> 00:23:22,400
+الموتور نحتاج نحسب الشد في الحبل ال power ايش
+
+181
+00:23:22,400 --> 00:23:30,360
+يستوي ال power ال P بتاعة الموتور هتكون ال V بتاعة
+
+182
+00:23:30,360 --> 00:23:36,560
+الموتور في الشد في الحبل خلاص احكي الشد في الحبل
+
+183
+00:23:36,560 --> 00:23:41,240
+هدا في الحبل .. الحبل اولا ال T واحد في الحبل
+
+184
+00:23:41,240 --> 00:23:51,000
+التاني ايش T اتنينفي T اتنين انا حاكي ان انا عرفنا
+
+185
+00:23:51,000 --> 00:23:58,900
+Vm بيستوى VD كقيمة مظبوط؟ اضل اعرف T اتنين معناه
+
+186
+00:23:58,900 --> 00:24:03,500
+انت بتعمل free path diagram لدي هعمل free path
+
+187
+00:24:03,500 --> 00:24:10,240
+diagram لدي دي ايش ال forces بتأثر على دي؟
+
+188
+00:24:24,210 --> 00:24:35,070
+الوزن هاي و دي و
+
+189
+00:24:35,070 --> 00:24:40,630
+T2 عندك و
+
+190
+00:24:40,630 --> 00:24:41,250
+T1
+
+191
+00:24:46,500 --> 00:24:50,820
+هتكون تساوي D
+
+192
+00:24:50,820 --> 00:24:57,540
+طالب
+
+193
+00:24:57,540 --> 00:25:04,760
+ال acceleration الاعلى صح؟ اللي هي M في D ال WD
+
+194
+00:25:04,760 --> 00:25:11,940
+على G في AD صح؟
+
+195
+00:25:17,990 --> 00:25:29,750
+نحكي هذه لتجاه الموجب لو
+
+196
+00:25:29,750 --> 00:25:37,370
+حكيت summation of forces باتجاه ال y direction هذه
+
+197
+00:25:37,370 --> 00:25:41,530
+لتجاه الموجب هتكون
+
+198
+00:25:41,530 --> 00:25:45,990
+دلوقتي تساوية T1 زائد T2
+
+199
+00:25:48,330 --> 00:25:53,730
+ناقص WD بتساوي
+
+200
+00:25:53,730 --> 00:26:08,830
+WD على G في AD صح؟ معناته T2 هتكون
+
+201
+00:26:08,830 --> 00:26:15,970
+تساوي WD
+
+202
+00:26:20,850 --> 00:26:31,470
+في واحد زد a d على g minus
+
+203
+00:26:31,470 --> 00:26:39,610
+T واحد طيب
+
+204
+00:26:39,610 --> 00:26:43,790
+T واحد احنا عارفينه من G ومن C
+
+205
+00:26:56,250 --> 00:27:02,170
+لو أخدت ال freebie diagram لل C هاي
+
+206
+00:27:02,170 --> 00:27:12,670
+ال C ال C إيش ال force بتأثر عليه وزنه لتحت صح؟
+
+207
+00:27:12,670 --> 00:27:21,230
+وفي الشد في الحب متساوى T1 اتنين T1 صح؟ اتنين
+
+208
+00:27:29,090 --> 00:27:36,350
+T1 بالساوية هكون
+
+209
+00:27:36,350 --> 00:27:40,550
+نازلة تحت اذا دي احنا حكينا الطالع هو هكون بالعكس
+
+210
+00:27:40,550 --> 00:27:46,670
+هكون WC
+
+211
+00:27:46,670 --> 00:27:51,610
+على G في ال AC
+
+212
+00:28:01,140 --> 00:28:05,540
+هنحكي هاي ال ..
+
+213
+00:28:05,540 --> 00:28:13,820
+هاي مثلا ال X هاي ال Y هنحكي
+
+214
+00:28:13,820 --> 00:28:24,060
+summation of forces لل FY اتجاه الموجب هتساوي ال
+
+215
+00:28:24,060 --> 00:28:28,500
+WC minus اتنين T واحد
+
+216
+00:28:31,640 --> 00:28:41,900
+بتساوي WC على G في ال AC يلا
+
+217
+00:28:41,900 --> 00:28:48,300
+ضربت الطرفين ب minus بصير انتي minus WC plus اتنين
+
+218
+00:28:48,300 --> 00:28:54,200
+T واحد بتساوي minus WC على G يعني هتكون اتنين T
+
+219
+00:28:54,200 --> 00:28:55,780
+واحد أو T واحد
+
+220
+00:29:00,920 --> 00:29:17,580
+بالساوية نص او WC على اتنين في واحد minus AC على G
+
+221
+00:29:17,580 --> 00:29:25,720
+مظبوط T
+
+222
+00:29:25,720 --> 00:29:29,440
+واحد بالساوية WC على اتنين لان AC ايش قيمته
+
+223
+00:29:29,440 --> 00:29:29,920
+بالساوية
+
+224
+00:29:32,750 --> 00:29:40,130
+مش سالب لأ مش سالب لما نعوض هي ماعوضهاش سالب لأن
+
+225
+00:29:40,130 --> 00:29:43,990
+ورا هي انا هي انا شايف شايف حط اتجاه مابيعدين
+
+226
+00:29:43,990 --> 00:29:49,390
+للإشارة الشوص مش زي اللي انك تسبع هكون T واحد
+
+227
+00:29:49,390 --> 00:29:58,990
+بالساوية WC على اتنين في واحد minus ال AC حكيه
+
+228
+00:29:58,990 --> 00:30:09,270
+ناشية نص ال ADminus AD على اتنين G انا هعوض هنا
+
+229
+00:30:09,270 --> 00:30:14,350
+هحسب لان T واحد صارت معروف عندي حسيب عندي T اتنين
+
+230
+00:30:14,350 --> 00:30:22,410
+بالساوي WD انا عملتها بالرموز عشان ده situation
+
+231
+00:30:22,410 --> 00:30:28,290
+معين AD و WD في واحد زاد AD
+
+232
+00:30:37,320 --> 00:30:43,820
+اللي هي WC على
+
+233
+00:30:43,820 --> 00:30:53,460
+اتنين في واحد minus AD على اتنين G
+
+234
+00:31:00,320 --> 00:31:10,400
+هدخل الترمات هتكون ساوية WD minus
+
+235
+00:31:10,400 --> 00:31:13,500
+WC
+
+236
+00:31:13,500 --> 00:31:19,520
+على اتنين زائد
+
+237
+00:31:19,520 --> 00:31:23,920
+AD
+
+238
+00:31:23,920 --> 00:31:26,960
+على G
+
+239
+00:31:30,590 --> 00:31:35,810
+عام مشترك AD
+
+240
+00:31:35,810 --> 00:31:41,330
+على G عام مشترك هيكون ال WD
+
+241
+00:31:41,330 --> 00:31:48,410
+زائد
+
+242
+00:31:48,410 --> 00:31:51,950
+WC
+
+243
+00:31:51,950 --> 00:31:55,210
+على 4
+
+244
+00:32:02,280 --> 00:32:21,540
+هذا ال T2 طبعا
+
+245
+00:32:22,870 --> 00:32:28,050
+احنا حكينا ال power بيستوى ال VM في T اتنين و ال
+
+246
+00:32:28,050 --> 00:32:35,950
+VM تماما بيستوى ال VD صح؟ يعني ال power هتكون
+
+247
+00:32:35,950 --> 00:32:45,890
+تستوى VD في T اتنين
+
+248
+00:32:53,410 --> 00:32:56,870
+الان لاحظوا لو كان ال .. ال .. ال elevator ماشي
+
+249
+00:32:56,870 --> 00:33:04,310
+بسرعة منتظرة معناته ال a دي ايش بتساوي؟ صفر معناته
+
+250
+00:33:04,310 --> 00:33:12,390
+كل ال term هذا zero معناته انا جزء من الطاقة
+
+251
+00:33:12,390 --> 00:33:19,770
+بتاعتى بستهلكها عشان أشيل أحمال تبعته و عشان to
+
+252
+00:33:19,770 --> 00:33:23,870
+accelerateمعناته في البداية أول ما أشغل كبسة
+
+253
+00:33:23,870 --> 00:33:29,530
+الأسانسيل بتحتاج power عالية لأنه أنا ببدأ من
+
+254
+00:33:29,530 --> 00:33:33,970
+الصفر هو لحد ما يصل ل city state متى بوصل ال city
+
+255
+00:33:33,970 --> 00:33:37,650
+state بتنزل ال power تاني يعني بنزل الأمبير على
+
+256
+00:33:37,650 --> 00:33:42,150
+الموتور هي أول شغلة شغلة تانية
+
+257
+00:33:46,130 --> 00:33:50,210
+وجود ال counterweight يعني اتخيل انه .. اتخيل
+
+258
+00:33:50,210 --> 00:34:04,970
+خلينا نحسب .. خلينا نحسب التالي نعمل زي جدول عندي
+
+259
+00:34:04,970 --> 00:34:12,510
+هاي ال WD و
+
+260
+00:34:12,510 --> 00:34:24,390
+هايWC WD عندنا في البداية كم كانت ستمية و
+
+261
+00:34:24,390 --> 00:34:33,070
+WC تمانمية وعندي
+
+262
+00:34:33,070 --> 00:34:39,510
+AD الـ
+
+263
+00:34:39,510 --> 00:34:40,390
+AD اتنين و نص
+
+264
+00:34:48,110 --> 00:34:56,090
+ال A D و ال V D تمانية
+
+265
+00:34:56,090 --> 00:35:07,190
+و
+
+266
+00:35:07,190 --> 00:35:16,790
+بده احسب ال T2 و
+
+267
+00:35:16,790 --> 00:35:17,470
+بده احسب ال power
+
+268
+00:35:23,780 --> 00:35:24,980
+هنعمل عكس الشيط
+
+269
+00:35:53,790 --> 00:36:03,430
+احنا عندنا W D مظبوط then W C بعدين
+
+270
+00:36:03,430 --> 00:36:18,570
+V D A D A D V V D نعم T 2
+
+271
+00:36:24,640 --> 00:36:25,740
+بعدين ال power
+
+272
+00:36:52,410 --> 00:37:00,350
+أول trial عندي ال WD أكم؟ ستمية ال WC تمانمية ال
+
+273
+00:37:00,350 --> 00:37:09,230
+AD تمانين و نص الفي دي تمانية ال T اتنين خلنا نحسب
+
+274
+00:37:09,230 --> 00:37:15,530
+كمان ال T واحد ال
+
+275
+00:37:15,530 --> 00:37:19,730
+T واحد خلنا نحسب ال T واحد
+
+276
+00:37:23,090 --> 00:37:32,270
+WC على اتنين في واحد minus AD على اتنين G يعني
+
+277
+00:37:32,270 --> 00:37:40,810
+بتساوي اللي هو WC
+
+278
+00:37:40,810 --> 00:37:50,090
+على اتنين في باشي
+
+279
+00:37:50,090 --> 00:37:59,260
+في واحدminus AD على اتنين على G اللي هي اتنين و
+
+280
+00:37:59,260 --> 00:38:06,880
+تلاتين point اتنين على
+
+281
+00:38:06,880 --> 00:38:10,140
+اتنين
+
+282
+00:38:10,140 --> 00:38:13,680
+ماشي
+
+283
+00:38:13,680 --> 00:38:16,820
+خليني
+
+284
+00:38:16,820 --> 00:38:17,700
+أسهل الأرقام
+
+285
+00:38:22,060 --> 00:38:36,680
+T2 بيستوي WD في 1 زاد AD على G بيستوي WD في
+
+286
+00:38:36,680 --> 00:38:49,040
+1 زاد AD على G 32.2 ناقص T1
+
+287
+00:38:56,980 --> 00:39:08,660
+الـ power شو ساوي T2 في VD صح ساوي T2 في VD
+
+288
+00:39:08,660 --> 00:39:18,360
+ال power تطلع واحدتها pound force foot هنعمل
+
+289
+00:39:18,360 --> 00:39:25,680
+trial تانية نفس المصعد وزر 600
+
+290
+00:39:28,910 --> 00:39:33,790
+بديش احط counter weight بدون counter weight هاي
+
+291
+00:39:33,790 --> 00:39:40,410
+سفر و نفس ال acceleration اتنين و نص و نفس السرعة
+
+292
+00:39:40,410 --> 00:39:49,210
+تمانية ال power اكم ارتفعت رقم كبير اكتر من مضاعف
+
+293
+00:39:49,210 --> 00:39:56,890
+صح طيب هنشوف ال trial تالتةبدي احكي على نفس
+
+294
+00:39:56,890 --> 00:40:05,530
+الأسنسية ال 600 وفي counterweight 800 وفيش
+
+295
+00:40:05,530 --> 00:40:10,610
+acceleration صفر وفيه سرعة نفس السرعة طالع يعني
+
+296
+00:40:10,610 --> 00:40:16,670
+بعد ما صار ال 6 ستة تمانية اكم نزل ال power نزلت
+
+297
+00:40:16,670 --> 00:40:23,990
+من 2000 و 97 ل 1600 يعني حوالي 400 حوالي 500 نزلت
+
+298
+00:40:23,990 --> 00:40:32,350
+الربعطيب الحالة الرابعة مهي
+
+299
+00:40:32,350 --> 00:40:37,250
+ال trick بيحطوا counter weight عشان يقلل ال power
+
+300
+00:40:37,250 --> 00:40:41,310
+و الوزن خلاص وزن تحط مرة واحدة و وزن ثابت و إحبال
+
+301
+00:40:41,310 --> 00:40:51,580
+عندك هاي الوزن ستمية ماشي بتدخل counter weightzero
+
+302
+00:40:51,580 --> 00:41:02,460
+و ال acceleration zero و الصراعية تمانية طبعا
+
+303
+00:41:02,460 --> 00:41:05,060
+اللي بده اقارن اتنين مع اربعة نتيجة فيش
+
+304
+00:41:05,060 --> 00:41:09,780
+acceleration نزل ال power بس نتيجة عدم في counter
+
+305
+00:41:09,780 --> 00:41:16,200
+weight نزلنا ال power حاول ال trial خمسة هي خمسة
+
+306
+00:41:16,200 --> 00:41:22,650
+على نفس المسألة الوزن ستميةست مية و خلنا نسبت ال
+
+307
+00:41:22,650 --> 00:41:29,050
+accelerator اتنين و نص والسرعة تمانية ماشي بده احط
+
+308
+00:41:29,050 --> 00:41:38,070
+ال counter weight اشوف الف طب
+
+309
+00:41:38,070 --> 00:41:45,370
+نجرب كمان الفين نشوف اشصير معانا لأ مظبوطش معنا
+
+310
+00:41:45,370 --> 00:41:46,950
+نجرب الف و خمسمية
+
+311
+00:41:50,860 --> 00:41:58,640
+نجرب ألف و متين، نجرب ألف و تلاتمية،
+
+312
+00:41:58,640 --> 00:42:07,600
+نجرب ألف و أربعمية، نجرب ألف و تلاتمية و خمسين،
+
+313
+00:42:07,600 --> 00:42:13,700
+نجرب ألف و تلاتمية و أربعين، نجرب ألف و تلاتمية و
+
+314
+00:42:13,700 --> 00:42:20,110
+خمس و أربعينوصلت موضوع ايش في عادية ال
+
+315
+00:42:20,110 --> 00:42:23,850
+counterweight انا في ال counterweight بلعب بلز ال
+
+316
+00:42:23,850 --> 00:42:31,250
+power ف ال counterweight كتير مهم في المصاعد فانا
+
+317
+00:42:31,250 --> 00:42:35,370
+ممكن اخلي اللي احط counterweight بس الإحبال تشيل
+
+318
+00:42:35,370 --> 00:42:41,050
+طبعا
+
+319
+00:42:41,050 --> 00:42:47,770
+الاشي بيكونيعني compromise حل وسط بين أكتر من شغلة
+
+320
+00:42:47,770 --> 00:42:56,990
+أنا أختار إحبال و بكرات و bearings و ال friction
+
+321
+00:42:56,990 --> 00:43:00,470
+بين البكرات يعني في بدك توازن بين كذا شغلة بس لو
+
+322
+00:43:00,470 --> 00:43:03,810
+أنا بس ركزت بس في ال counter weight شوف إيش بسوي
+
+323
+00:43:03,810 --> 00:43:09,980
+في ال power يعني هو كنت أخلي motorمطور يعني مطور
+
+324
+00:43:09,980 --> 00:43:14,460
+.. مطور صغير و مطور .. اشيل ال .. اشيل في ال .. ال
+
+325
+00:43:14,460 --> 00:43:30,780
+.. ال 600 pound يعني حوالي 300 كيلو طيب
+
+326
+00:43:30,780 --> 00:43:31,680
+هتلاعمل file
+
+327
+00:43:54,390 --> 00:44:00,250
+فهو ارتأ انه احط counterweight اذا بدى اخد كل
+
+328
+00:44:00,250 --> 00:44:06,950
+التفاصيل .. كل التفاصيل غير
+
+329
+00:44:06,950 --> 00:44:11,230
+هيك فيه تفاصيل فنية حتى لو بنفع .. حتى لو بنفع انت
+
+330
+00:44:11,230 --> 00:44:14,130
+في الآخر بدك تكون ال motor متناسب مع ال .. ال
+
+331
+00:44:14,130 --> 00:44:16,470
+gearbox مع ال .. يعني في عندك gearbox
+
+332
+00:44:19,870 --> 00:44:22,790
+مظبوط؟ بدوا ال chefs تركب مع بعض، يعني في تفاصيل
+
+333
+00:44:22,790 --> 00:44:27,350
+بتخليك تعمل مش لحالة ال counterweight هو الانصر
+
+334
+00:44:27,350 --> 00:44:30,430
+اللي هو مش غير في الدنيا لأ في حاجات تانية لازم
+
+335
+00:44:30,430 --> 00:44:38,890
+افكر فيها في
+
+336
+00:44:38,890 --> 00:44:39,590
+اي سؤال؟
+
+337
+00:44:43,430 --> 00:44:48,390
+فاحنا أخدنا الحالتين لما كانت ال acceleration اين
+
+338
+00:44:48,390 --> 00:44:57,410
+و نص كانت ال power الفين و سبعة وتسعين لما
+
+339
+00:44:57,410 --> 00:45:10,490
+كانت ال acceleration zero الف و ستمية و اين؟
+
+340
+00:45:10,490 --> 00:45:19,850
+في أخر حالةأيوة، وين؟ مافيش حبل، مافيش C، نعم؟ هو
+
+341
+00:45:19,850 --> 00:45:26,910
+مش سفر، قلت لما تروح، اقوله قيمة، يعني قلوص مش فيه
+
+342
+00:45:26,910 --> 00:45:30,630
+شد، يعني ال power معظمها جاية من السرعة
+
+343
+00:45:41,750 --> 00:45:46,190
+ماشي هيك ما خلصت المحاضرة تبتدي كل حاجة
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/nBLgRMQauhk_raw.json b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/nBLgRMQauhk_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..106ed938f00ec80cae1bb62dfbaf22a5744b141b
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/nBLgRMQauhk_raw.json
@@ -0,0 +1 @@
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{"start": 22.72, "end": 23.68, "word": " T2", "probability": 0.8466796875}, {"start": 23.68, "end": 25.04, "word": " حلنا", "probability": 0.7884114583333334}, {"start": 25.04, "end": 26.52, "word": " تلت", "probability": 0.92919921875}, {"start": 26.52, "end": 27.2, "word": " examples", "probability": 0.78759765625}, {"start": 27.2, "end": 28.24, "word": " هنحل", "probability": 0.944091796875}, {"start": 28.24, "end": 29.2, "word": " كمان", "probability": 0.7841796875}, {"start": 29.2, "end": 29.8, "word": " examples", "probability": 0.86279296875}, {"start": 29.8, "end": 30.1, "word": " و", "probability": 0.984375}, {"start": 30.1, "end": 30.56, "word": " نكمل", "probability": 0.8190104166666666}, {"start": 30.56, "end": 31.6, "word": " هنشوف", "probability": 0.950927734375}, {"start": 31.6, "end": 32.06, "word": " example", "probability": 0.69287109375}, {"start": 32.06, "end": 32.68, "word": " حاليا", "probability": 0.9755859375}], "temperature": 1.0}, {"id": 2, "seek": 6542, 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{"start": 208.89, "end": 211.23, "word": " زاد", "probability": 0.6051025390625}, {"start": 211.23, "end": 211.59, "word": " يواحد", "probability": 0.7646484375}, {"start": 211.59, "end": 211.99, "word": " لاتنين", "probability": 0.8388671875}, {"start": 211.99, "end": 212.57, "word": " اربعين", "probability": 0.9512939453125}, {"start": 212.57, "end": 214.57, "word": " W", "probability": 0.83984375}, {"start": 214.57, "end": 216.47, "word": " سوى", "probability": 0.5711263020833334}, {"start": 216.47, "end": 216.59, "word": " T", "probability": 0.93115234375}, {"start": 216.59, "end": 217.03, "word": " اتنين", "probability": 0.891357421875}, {"start": 217.03, "end": 217.31, "word": " اللي", "probability": 0.95166015625}, {"start": 217.31, "end": 217.45, "word": " هي", "probability": 0.70166015625}, {"start": 217.45, "end": 217.75, "word": " نص", "probability": 0.9912109375}], "temperature": 1.0}, {"id": 8, "seek": 24749, "start": 220.99, "end": 247.49, "text": "w على g v2 تربيع هتروح w مع w بالصفة v2 تربيع هتكون تمانين في g اللي هي اتنين و تلاتين", "tokens": [86, 15844, 290, 371, 17, 6055, 2288, 21292, 3615, 8032, 2655, 32887, 5016, 261, 20449, 261, 20666, 9381, 5172, 3660, 371, 17, 6055, 2288, 21292, 3615, 8032, 2655, 30544, 46811, 7649, 9957, 8978, 290, 13672, 1829, 39896, 1975, 2655, 1863, 9957, 4032, 6055, 1211, 9307, 9957], "avg_logprob": -0.1986369617441867, "compression_ratio": 1.4019607843137254, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 220.99, "end": 221.61, "word": "w", "probability": 0.228759765625}, {"start": 221.61, "end": 223.37, "word": " على", "probability": 0.402099609375}, {"start": 223.37, "end": 223.71, "word": " g", "probability": 0.8564453125}, {"start": 223.71, "end": 225.83, "word": " v2", "probability": 0.740234375}, {"start": 225.83, "end": 226.45, "word": " تربيع", "probability": 0.8084716796875}, {"start": 226.45, "end": 228.31, "word": " هتروح", "probability": 0.940673828125}, {"start": 228.31, "end": 228.73, "word": 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صح؟ معناته T2 هتكون تساوي WD", "tokens": [1863, 995, 4587, 9381, 343, 35, 39894, 3794, 995, 45865, 343, 35, 15844, 460, 8978, 9135, 20328, 5016, 22807, 20449, 8315, 47395, 314, 17, 8032, 2655, 30544, 6055, 3794, 995, 45865, 343, 35], "avg_logprob": -0.203814339111833, "compression_ratio": 1.1358024691358024, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 1548.33, "end": 1549.11, "word": "ناقص", "probability": 0.831298828125}, {"start": 1549.11, "end": 1549.91, "word": " WD", "probability": 0.6748046875}, {"start": 1549.91, "end": 1553.73, "word": " بتساوي", "probability": 0.83587646484375}, {"start": 1553.73, "end": 1555.73, "word": " WD", "probability": 0.9443359375}, {"start": 1555.73, "end": 1558.19, "word": " على", "probability": 0.736328125}, {"start": 1558.19, "end": 1558.57, "word": " G", "probability": 0.9462890625}, {"start": 1558.57, "end": 1560.51, "word": " في", "probability": 0.83203125}, {"start": 1560.51, "end": 1560.91, "word": " AD", "probability": 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1.7881393432617188e-07, "words": [{"start": 1580.85, "end": 1581.57, "word": "في", "probability": 0.372314453125}, {"start": 1581.57, "end": 1582.29, "word": " واحد", "probability": 0.945068359375}, {"start": 1582.29, "end": 1584.57, "word": " زد", "probability": 0.66162109375}, {"start": 1584.57, "end": 1584.87, "word": " a", "probability": 0.3916015625}, {"start": 1584.87, "end": 1585.23, "word": " d", "probability": 0.677734375}, {"start": 1585.23, "end": 1587.49, "word": " على", "probability": 0.7275390625}, {"start": 1587.49, "end": 1587.85, "word": " g", "probability": 0.91064453125}, {"start": 1587.85, "end": 1591.47, "word": " minus", "probability": 0.8798828125}, {"start": 1591.47, "end": 1593.67, "word": " T", "probability": 0.62548828125}, {"start": 1593.67, "end": 1594.17, "word": " واحد", "probability": 0.9560546875}, {"start": 1594.17, "end": 1599.61, "word": " طيب", "probability": 0.9664713541666666}, {"start": 1599.61, "end": 1599.79, "word": " T", "probability": 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minus بصير انتي minus WC plus اتنين T واحد بتساوي minus WC على G يعني هتكون اتنين T واحد أو T واحد", "tokens": [3555, 2655, 3794, 995, 45865, 343, 34, 15844, 460, 8978, 2423, 8157, 7251, 15040, 48812, 25513, 2655, 41950, 28480, 9957, 4724, 3175, 4724, 9381, 13546, 16472, 31371, 3175, 343, 34, 1804, 1975, 2655, 1863, 9957, 314, 36764, 24401, 39894, 3794, 995, 45865, 3175, 343, 34, 15844, 460, 37495, 22653, 8032, 2655, 30544, 1975, 2655, 1863, 9957, 314, 36764, 24401, 34051, 314, 36764, 24401], "avg_logprob": -0.30908202566206455, "compression_ratio": 1.5827338129496402, "no_speech_prob": 1.1920928955078125e-07, "words": [{"start": 1711.6399999999999, "end": 1712.6, "word": "بتساوي", "probability": 0.81474609375}, {"start": 1712.6, "end": 1713.56, "word": " WC", "probability": 0.6312255859375}, {"start": 1713.56, "end": 1715.56, "word": " على", "probability": 0.499755859375}, {"start": 1715.56, "end": 1716.08, "word": " G", "probability": 0.953125}, {"start": 1716.08, "end": 1717.78, 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0.767822265625}, {"start": 2690.89, "end": 2691.01, "word": " و", "probability": 0.92529296875}, {"start": 2691.01, "end": 2691.35, "word": " سبعة", "probability": 0.9256184895833334}, {"start": 2691.35, "end": 2692.01, "word": " وتسعين", "probability": 0.9208984375}, {"start": 2692.01, "end": 2697.41, "word": " لما", "probability": 0.9306640625}, {"start": 2697.41, "end": 2697.95, "word": " كانت", "probability": 0.99072265625}, {"start": 2697.95, "end": 2698.29, "word": " ال", "probability": 0.9921875}, {"start": 2698.29, "end": 2699.05, "word": " acceleration", "probability": 0.88671875}, {"start": 2699.05, "end": 2702.03, "word": " zero", "probability": 0.41796875}, {"start": 2702.03, "end": 2704.99, "word": " الف", "probability": 0.875}, {"start": 2704.99, "end": 2705.49, "word": " و", "probability": 0.87646484375}, {"start": 2705.49, "end": 2706.13, "word": " ستمية", "probability": 0.8699544270833334}, {"start": 2706.13, "end": 2707.03, "word": " و", "probability": 0.2181396484375}, {"start": 2707.03, "end": 2710.49, "word": " اين؟", "probability": 0.7018229166666666}, {"start": 2710.49, "end": 2710.67, "word": " في", "probability": 0.7509765625}, {"start": 2710.67, "end": 2710.87, "word": " أخر", "probability": 0.7159423828125}, {"start": 2710.87, "end": 2711.25, "word": " حالة", "probability": 0.94287109375}], "temperature": 1.0}, {"id": 91, "seek": 273063, "start": 2712.67, "end": 2730.63, "text": "أيوة، وين؟ مافيش حبل، مافيش C، نعم؟ هو مش سفر، قلت لما تروح، اقوله قيمة، يعني قلوص مش فيه شد، يعني ال power معظمها جاية من السرعة", "tokens": [10721, 1829, 2407, 3660, 12399, 4032, 9957, 22807, 19446, 41185, 8592, 11331, 36150, 12399, 19446, 41185, 8592, 383, 12399, 8717, 25957, 22807, 31439, 37893, 8608, 5172, 2288, 12399, 12174, 1211, 2655, 5296, 15042, 6055, 32887, 5016, 12399, 1975, 39648, 3224, 12174, 32640, 3660, 12399, 37495, 22653, 12174, 1211, 2407, 9381, 37893, 8978, 3224, 13412, 3215, 12399, 37495, 22653, 2423, 1347, 20449, 19913, 2304, 11296, 10874, 995, 10632, 9154, 21136, 2288, 27884], "avg_logprob": -0.2502170213394695, "compression_ratio": 1.5066666666666666, "no_speech_prob": 5.960464477539063e-08, "words": [{"start": 2712.6699999999996, "end": 2713.47, "word": "أيوة،", "probability": 0.73203125}, {"start": 2713.47, "end": 2714.27, "word": " وين؟", "probability": 0.8885091145833334}, {"start": 2714.27, "end": 2714.77, "word": " مافيش", "probability": 0.8499348958333334}, {"start": 2714.77, "end": 2715.19, "word": " حبل،", "probability": 0.9612630208333334}, {"start": 2715.19, "end": 2715.53, "word": " مافيش", "probability": 0.9658203125}, {"start": 2715.53, "end": 2717.23, "word": " C،", "probability": 0.58544921875}, {"start": 2717.23, "end": 2718.21, "word": " نعم؟", "probability": 0.612548828125}, {"start": 2718.21, "end": 2719.85, "word": " هو", "probability": 0.8603515625}, {"start": 2719.85, "end": 2720.05, "word": " مش", "probability": 0.98583984375}, {"start": 2720.05, "end": 2720.53, "word": " سفر،", "probability": 0.747802734375}, {"start": 2720.53, "end": 2720.71, "word": " قلت", "probability": 0.9130859375}, {"start": 2720.71, "end": 2720.91, "word": " لما", "probability": 0.864990234375}, {"start": 2720.91, "end": 2723.17, "word": " تروح،", "probability": 0.8892822265625}, {"start": 2723.17, "end": 2723.43, "word": " اقوله", "probability": 0.652587890625}, {"start": 2723.43, "end": 2724.41, "word": " قيمة،", "probability": 0.77374267578125}, {"start": 2724.41, "end": 2726.17, "word": " يعني", "probability": 0.986572265625}, {"start": 2726.17, "end": 2726.47, "word": " قلوص", "probability": 0.42822265625}, {"start": 2726.47, "end": 2726.65, "word": " مش", "probability": 0.759765625}, {"start": 2726.65, "end": 2726.91, "word": " فيه", "probability": 0.859130859375}, {"start": 2726.91, "end": 2728.51, "word": " شد،", "probability": 0.9658203125}, {"start": 2728.51, "end": 2728.81, "word": " يعني", "probability": 0.98974609375}, {"start": 2728.81, "end": 2729.01, "word": " ال", "probability": 0.9814453125}, {"start": 2729.01, "end": 2729.33, "word": " power", "probability": 0.91748046875}, {"start": 2729.33, "end": 2729.73, "word": " معظمها", "probability": 0.9869384765625}, {"start": 2729.73, "end": 2729.99, "word": " جاية", "probability": 0.74169921875}, {"start": 2729.99, "end": 2730.15, "word": " من", "probability": 0.99365234375}, {"start": 2730.15, "end": 2730.63, "word": " السرعة", "probability": 0.84765625}], "temperature": 1.0}, {"id": 92, "seek": 274619, "start": 2741.75, "end": 2746.19, "text": "ماشي هيك ما خلصت المحاضرة تبتدي كل حاجة", "tokens": [2304, 33599, 1829, 39896, 4117, 19446, 16490, 1211, 9381, 2655, 9673, 5016, 46958, 25720, 6055, 3555, 2655, 16254, 28242, 11331, 26108, 3660], "avg_logprob": -0.3750000129575315, "compression_ratio": 1.0441176470588236, "no_speech_prob": 0.0, "words": [{"start": 2741.75, "end": 2742.69, "word": "ماشي", "probability": 0.95751953125}, {"start": 2742.69, "end": 2743.63, "word": " هيك", "probability": 0.57421875}, {"start": 2743.63, "end": 2743.79, "word": " ما", "probability": 0.421142578125}, {"start": 2743.79, "end": 2744.13, "word": " خلصت", "probability": 0.9210205078125}, {"start": 2744.13, "end": 2744.95, "word": " المحاضرة", "probability": 0.9754638671875}, {"start": 2744.95, "end": 2745.85, "word": " تبتدي", "probability": 0.361480712890625}, {"start": 2745.85, "end": 2745.95, "word": " كل", "probability": 0.66162109375}, {"start": 2745.95, "end": 2746.19, "word": " حاجة", "probability": 0.7267252604166666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2747.03675, "duration_after_vad": 2328.2668749999925}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/okphaBqrxak_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/okphaBqrxak_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..e6132cb11e8dd8da69ce2f9b06b6c85c58f4e8d9
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/okphaBqrxak_postprocess.srt
@@ -0,0 +1,1740 @@
+1
+00:00:05,150 --> 00:00:08,130
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,130 --> 00:00:13,290
+وبركاته هنكمل في مادة الديناميكا الشبطر التاني
+
+3
+00:00:13,290 --> 00:00:17,430
+kinetics of particles المحاضرة الفاتحة حكينا ان ال
+
+4
+00:00:17,430 --> 00:00:21,990
+kinetics بتربط هندسة الحركة بالمؤثر اللي هو المسبب
+
+5
+00:00:21,990 --> 00:00:27,070
+للحركة اللي هو قانون نيوتن التاني حكينا محصرة
+
+6
+00:00:27,070 --> 00:00:32,550
+القوة المؤثرة على جسم بالسوء ال F بالسوء M في A
+
+7
+00:00:36,180 --> 00:00:39,560
+إذا كانت محصة القوة المأثرة على جسم بالساوة zero
+
+8
+00:00:39,560 --> 00:00:45,240
+معناته ال particle مش هكون له عجلة، معناته ياما هو
+
+9
+00:00:45,240 --> 00:00:52,220
+بيكون ساكن غير متحرك أو بيمشي بسرعة منتظرة على خط
+
+10
+00:00:52,220 --> 00:00:52,820
+مستقيم
+
+11
+00:00:56,430 --> 00:01:00,630
+صيغة أخرى لـ Newton's second law مجموعة ال force
+
+12
+00:01:00,630 --> 00:01:04,910
+المأثرة على جسم تساوي التغير في كمية الحركة أو
+
+13
+00:01:04,910 --> 00:01:11,430
+التغير في الزخم إذا
+
+14
+00:01:11,430 --> 00:01:16,990
+كانت المحصة القوة المؤثرة على جسم مجموعة صفر
+
+15
+00:01:16,990 --> 00:01:21,290
+معناته بيكون في under conservation of linear
+
+16
+00:01:21,290 --> 00:01:22,110
+momentum
+
+17
+00:01:25,540 --> 00:01:28,320
+حكينا على ال system units واحدة لنيوتن واحدة ل
+
+18
+00:01:28,320 --> 00:01:29,280
+pound force
+
+19
+00:01:34,900 --> 00:01:37,820
+وصلنا لحد ال slide هذه حكي ان ال summation of
+
+20
+00:01:37,820 --> 00:01:42,120
+force بتجاه m في a ممكن اخد summation of force
+
+21
+00:01:42,120 --> 00:01:46,900
+بتجاه ال x بتجاه ال y بتجاه ال z
+
+22
+00:02:05,230 --> 00:02:09,970
+ممكن نستخدم tangential او normal chord system يعني
+
+23
+00:02:09,970 --> 00:02:13,390
+صميش لل F tangential بسوة MA tangential صميشها لل
+
+24
+00:02:13,390 --> 00:02:19,390
+F normal بسوة MA normal ممكن
+
+25
+00:02:19,390 --> 00:02:22,510
+في طريقة تانية للتعبير على ال Newton's second law
+
+26
+00:02:22,510 --> 00:02:27,250
+انه باخد inertia vector اللي هي minus MA و بحطها
+
+27
+00:02:27,250 --> 00:02:32,480
+على ال forces يعني عندي F1 و F2 و minus MAis a
+
+28
+00:02:32,480 --> 00:02:35,340
+force وهو حقيقة is a force inertia force هي قوة
+
+29
+00:02:35,340 --> 00:02:39,040
+القصور الذاتية هو بحكي summation of force بيستوي
+
+30
+00:02:39,040 --> 00:02:45,240
+ايه؟ Zero فوحد زاد اف اتنين زاد minus MA بيستوي
+
+31
+00:02:45,240 --> 00:02:50,780
+Zero الحلم
+
+32
+00:02:50,780 --> 00:02:54,440
+الثاني هو الحلم الثالث هو كيف نطبق Newton's second
+
+33
+00:02:54,440 --> 00:02:55,260
+law
+
+34
+00:02:58,160 --> 00:03:01,760
+a two hundred pound block rest on a horizontal
+
+35
+00:03:01,760 --> 00:03:08,700
+plane بينا block وزنه متين pound مستقر على المستوى
+
+36
+00:03:08,700 --> 00:03:14,200
+الأفقى بتأثر على ال force P بتعمل زوايا تلاتين
+
+37
+00:03:14,200 --> 00:03:18,500
+درجة مع الأفقى find the magnitude of the force P
+
+38
+00:03:18,500 --> 00:03:21,500
+وجد قيمة ال force P required to give the block an
+
+39
+00:03:21,500 --> 00:03:25,020
+acceleration of ten feet per second square يعني دي
+
+40
+00:03:25,020 --> 00:03:35,170
+ال accelerationواش الوزن بتاعه أكام؟ اتين pound ال
+
+41
+00:03:35,170 --> 00:03:43,410
+acceleration بتاعته عشرة قدم على second تربيع
+
+42
+00:03:43,410 --> 00:03:47,910
+المطلوب لو نحصل القوة في اللازمة عشان نتحرك الجسم
+
+43
+00:03:47,910 --> 00:03:53,190
+بعجلة قيمتها عشرة foot per second بجهة اليمين
+
+44
+00:03:54,120 --> 00:03:56,860
+معطيني the coefficient of kinetic friction معامل
+
+45
+00:03:56,860 --> 00:04:05,060
+احتكاك الديناميكي اللي
+
+46
+00:04:05,060 --> 00:04:12,540
+هي point نين خمسة نحسب
+
+47
+00:04:12,540 --> 00:04:15,640
+P
+
+48
+00:04:15,640 --> 00:04:21,440
+عشان نحسب P بدي اعمل ما يسمى free body diagram
+
+49
+00:04:21,440 --> 00:04:22,500
+يعني هي الجسم
+
+50
+00:04:28,260 --> 00:04:31,320
+في ال figure bodygram بحط ال forces بياخد الجسم
+
+51
+00:04:31,320 --> 00:04:39,340
+بعزله بحط ال force بتأثر عليه فعندي force اللي
+
+52
+00:04:39,340 --> 00:04:46,460
+هي P تعمل زاوية تلاتين
+
+53
+00:04:46,460 --> 00:04:52,100
+درجة فعندي الوزن W
+
+54
+00:04:52,100 --> 00:04:58,560
+في رد الفعل العمودي من الأرضعلى ال block ال normal
+
+55
+00:04:58,560 --> 00:05:02,300
+إذا الحركة بيهدى الاتجاه مانعته هيكون فيه friction
+
+56
+00:05:02,300 --> 00:05:14,780
+إيش معاكس F اللي بيستوى ميو ك في N هذا محصة القوة
+
+57
+00:05:14,780 --> 00:05:21,520
+هذه هتخلي الجسم يتحرك هذا نتيجة الحركة نتيجة ال
+
+58
+00:05:21,520 --> 00:05:24,040
+forces هتعمله acceleration
+
+59
+00:05:29,470 --> 00:05:38,690
+م في ايه صح هيك
+
+60
+00:05:38,690 --> 00:05:42,910
+في ال free بده يجرم عشانك ملازم أحط محاول إحداثيات
+
+61
+00:05:42,910 --> 00:05:47,510
+هاي ال X و
+
+62
+00:05:47,510 --> 00:05:50,230
+هاي ال Y
+
+63
+00:05:58,370 --> 00:06:01,750
+لأن في اتجاه ال Y فيه acceleration بتحرك في اتجاه
+
+64
+00:06:01,750 --> 00:06:06,550
+ال Y لأ مانعك تستخدمش ال force باتجاه ال Y ايش
+
+65
+00:06:06,550 --> 00:06:15,490
+هتساوي سفر of forces باتجاه ال Y بتساوي Zero بحط
+
+66
+00:06:15,490 --> 00:06:23,630
+هنا لاتجاه الموجب بتساوي So
+
+67
+00:06:23,630 --> 00:06:24,450
+minus W
+
+68
+00:06:29,340 --> 00:06:38,660
+minus P sin 30 زائد
+
+69
+00:06:38,660 --> 00:06:45,080
+N صح؟
+
+70
+00:06:45,080 --> 00:06:48,400
+معناته
+
+71
+00:06:48,400 --> 00:06:57,680
+ال N مش هتساوي مستوى W زائد P sin 30 sin 30 أيش؟
+
+72
+00:06:57,680 --> 00:07:07,130
+نصزاد P على اتنين انا
+
+73
+00:07:07,130 --> 00:07:11,810
+هاخد summation of forces بتجاه ال X summation لل
+
+74
+00:07:11,810 --> 00:07:22,190
+forces بتجاه ال X هذه لتجاه الموجة هتساوي M في A
+
+75
+00:07:22,190 --> 00:07:26,190
+هتساوي
+
+76
+00:07:26,190 --> 00:07:28,390
+عند P
+
+77
+00:07:32,240 --> 00:07:38,140
+قصين التلاتين ناقص
+
+78
+00:07:38,140 --> 00:07:50,380
+ميو كي في ام الام
+
+79
+00:07:50,380 --> 00:08:00,430
+عبارة عن W على G صح يعني هكون دي W على Gفي A
+
+80
+00:08:00,430 --> 00:08:12,290
+هتساوي ال P كوصين التلاتين minus
+
+81
+00:08:12,290 --> 00:08:16,770
+Mu K في
+
+82
+00:08:16,770 --> 00:08:21,690
+W زاد
+
+83
+00:08:21,690 --> 00:08:22,610
+P على اتنين
+
+84
+00:08:34,300 --> 00:08:39,980
+يعنى هدا هتكون هتكون عندها ال W أكثر من دين اللى
+
+85
+00:08:39,980 --> 00:08:44,360
+هى 200 على
+
+86
+00:08:44,360 --> 00:08:55,640
+جيل هى 32 و 2 من عشرة so اللى هى عندها P فيه هدا
+
+87
+00:08:55,640 --> 00:08:58,680
+بقى 8 6 6
+
+88
+00:09:04,270 --> 00:09:16,850
+زائد point واحد اتنين خمسة زائد ولا ناقص ناقص
+
+89
+00:09:16,850 --> 00:09:25,250
+صح دخلت هذه ربع في نص تمون صح ناقص point واحد
+
+90
+00:09:25,250 --> 00:09:32,090
+اتنين خمسة minus ربع
+
+91
+00:09:34,510 --> 00:09:40,610
+فى 200 و
+
+92
+00:09:40,610 --> 00:09:48,330
+ربع فى 200 يعنى كم؟ خمسين يعنى P حسبوا ال P كم
+
+93
+00:09:48,330 --> 00:09:54,010
+تطلع هتكون
+
+94
+00:09:54,010 --> 00:10:02,610
+خمسين زاد 200 عال 32.2 على هذا نفس المعنى في الأقل
+
+95
+00:10:02,610 --> 00:10:09,570
+الحاسوبةفي اكسراشن في عشرة صح ال اكسراشن أيوة هي
+
+96
+00:10:09,570 --> 00:10:16,670
+هعوض في عشرة
+
+97
+00:10:16,670 --> 00:10:20,050
+بت
+
+98
+00:10:20,050 --> 00:10:20,470
+سبع
+
+99
+00:10:47,040 --> 00:10:55,680
+سبعمية تمانية و خمسين pound سبعة
+
+100
+00:10:55,680 --> 00:11:00,000
+خمس و تمانية صح؟ يعني
+
+101
+00:11:00,000 --> 00:11:05,890
+ال P بتطلع اللي سبعة خمس تمانيةهذه ال force هتجعل
+
+102
+00:11:05,890 --> 00:11:10,870
+الجسم يتحرك ب acceleration قيمتها عشر قدم على
+
+103
+00:11:10,870 --> 00:11:15,330
+ثانية تربيعتي تطلع مية واحدة وخمسين
+
+104
+00:11:36,730 --> 00:11:42,070
+هذا رقم منطقي طيب في
+
+105
+00:11:42,070 --> 00:11:47,170
+اي سؤال يعني انا مش هين ارسم اعمل نمذج للمثل صح
+
+106
+00:11:47,170 --> 00:11:51,350
+اعمل ال free pedagram صح الاتجاهات صح انا كنت حاطط
+
+107
+00:11:51,350 --> 00:11:54,970
+كل البيانات حاطط ال coordinate system ال X موجب و
+
+108
+00:11:54,970 --> 00:12:00,450
+ال Y موجب تشوف
+
+109
+00:12:00,450 --> 00:12:01,210
+مثال تاني
+
+110
+00:12:20,900 --> 00:12:32,520
+عندى ال two blocks A and B ال mass ل A مائة
+
+111
+00:12:32,520 --> 00:12:38,080
+kilogram و ال
+
+112
+00:12:38,080 --> 00:12:40,320
+mass ل B تلت مائة
+
+113
+00:12:46,580 --> 00:12:49,360
+موصلين بنظام البكارات اللى احنا شايفينه فى بكرة
+
+114
+00:12:49,360 --> 00:12:56,320
+and c بكرة and d ال system بدأ من السكون بدأ
+
+115
+00:12:56,320 --> 00:13:01,120
+الحركة من السكون the
+
+116
+00:13:01,120 --> 00:13:04,160
+horizontal plane and the poly are frictionless فىش
+
+117
+00:13:04,160 --> 00:13:09,300
+احتكاك هنا و فىش احتكاك عند البكارات هذه الفرضية
+
+118
+00:13:09,300 --> 00:13:09,780
+بتاعتنا
+
+119
+00:13:13,780 --> 00:13:16,440
+and the poly is assumed to be of negligible mass
+
+120
+00:13:16,440 --> 00:13:25,220
+كتلة ال polys مهملة او قيمتها صغيرة determine
+
+121
+00:13:25,220 --> 00:13:29,300
+the acceleration of each block and the tension in
+
+122
+00:13:29,300 --> 00:13:38,860
+the chord بده ال acceleration بتاعة a وال a بتاع b
+
+123
+00:13:41,410 --> 00:13:52,310
+و الشد في الحبل في الحبل اول
+
+124
+00:13:52,310 --> 00:13:55,330
+شي هعمل ال free blood diagram ل ايه ايه ال free
+
+125
+00:13:55,330 --> 00:14:02,230
+blood diagram ل ايه ايه
+
+126
+00:14:02,230 --> 00:14:06,550
+ايش ال force بتأثر عليه بيحاول
+
+127
+00:14:06,550 --> 00:14:08,010
+يشد الحبل هذا الاتجاه هاي ال tension
+
+128
+00:14:11,630 --> 00:14:15,930
+في دولار فورس يعني من
+
+129
+00:14:15,930 --> 00:14:26,710
+الأرض وفي الوزن اللي هو MG صح؟ فيش تاني؟ مافيش هو
+
+130
+00:14:26,710 --> 00:14:39,190
+بيحكيلي فيش احتكاك ركش في ال list حيث ساوي هيتحرك
+
+131
+00:14:39,190 --> 00:14:39,990
+هذا A
+
+132
+00:14:49,860 --> 00:15:00,160
+هيتحرك اكسليراشن م اي اي اي اي اي اي اي اي
+
+133
+00:15:00,160 --> 00:15:00,720
+اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي
+
+134
+00:15:00,720 --> 00:15:01,200
+اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي
+
+135
+00:15:01,200 --> 00:15:03,940
+اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي اي
+
+136
+00:15:03,940 --> 00:15:07,640
+اي اي اي اي اي اي اي اي اي اي اي
+
+137
+00:15:07,640 --> 00:15:10,960
+اي
+
+138
+00:15:17,340 --> 00:15:20,680
+الان فى بس acceleration بتجاه ال X فى مش
+
+139
+00:15:20,680 --> 00:15:23,240
+acceleration بتجاه ال Y معناه أسهل الأبدى من ال Y
+
+140
+00:15:23,240 --> 00:15:30,740
+direction summation لل forces بتجاه ال Y بالساوية
+
+141
+00:15:30,740 --> 00:15:39,740
+Zero فى الحالة هذه حاطط لتجاه الموجب بتساوية minus
+
+142
+00:15:39,740 --> 00:15:52,510
+MG زائد N يعني ال N MA طبعايعني الان هتستوى
+
+143
+00:15:52,510 --> 00:16:02,790
+mag اللي هي مية في تسعة بون تمانية سفر ستة يعني
+
+144
+00:16:02,790 --> 00:16:13,990
+تسعة مية و تمانين بون ستة نيوتن في
+
+145
+00:16:13,990 --> 00:16:23,870
+اتجاه ال X صممش يعنيلل force بتجاه ال X بتساوي
+
+146
+00:16:23,870 --> 00:16:27,070
+اللي
+
+147
+00:16:27,070 --> 00:16:34,370
+هي T بتساوي MA AA
+
+148
+00:16:34,370 --> 00:16:39,230
+يعني
+
+149
+00:16:39,230 --> 00:16:43,790
+ال T هتكون تساوي MA اللي هي 100
+
+150
+00:16:47,120 --> 00:16:54,780
+ا ا هاي المعادلة ايش واحد
+
+151
+00:16:54,780 --> 00:17:00,960
+هعمل
+
+152
+00:17:00,960 --> 00:17:06,560
+free pedagram ل بيه free pedagram ل بيه
+
+153
+00:17:17,420 --> 00:17:21,820
+فى وزنه م
+
+154
+00:17:21,820 --> 00:17:29,320
+بي جي شده
+
+155
+00:17:29,320 --> 00:17:38,260
+بدي أسميه يعنى لأ
+
+156
+00:17:38,260 --> 00:17:43,440
+مش نفسه لأ هسميها تي واحد
+
+157
+00:17:46,500 --> 00:17:54,840
+T واحد حيث
+
+158
+00:17:54,840 --> 00:18:03,260
+ساوى M
+
+159
+00:18:03,260 --> 00:18:09,580
+م بي في A بي
+
+160
+00:18:15,690 --> 00:18:19,890
+و هاي ال X و
+
+161
+00:18:19,890 --> 00:18:26,230
+هاي ال Y طيب
+
+162
+00:18:26,230 --> 00:18:28,590
+معناه هتاخد summation لل forces باتجاه ال Y
+
+163
+00:18:28,590 --> 00:18:42,090
+summation لل forces باتجاه ال Y هتساوي
+
+164
+00:18:47,880 --> 00:18:59,220
+T1-MBG-MBAB
+
+165
+00:18:59,220 --> 00:19:10,100
+يعني
+
+166
+00:19:10,100 --> 00:19:10,860
+عند T1
+
+167
+00:19:13,630 --> 00:19:22,130
+T1 ستكون ساوية او minus Mb اللي هي تلت مية في
+
+168
+00:19:22,130 --> 00:19:33,210
+تسعة عابون تمانية سفر ستة بالساوية ناقص تلت مية في
+
+169
+00:19:33,210 --> 00:19:37,650
+AB يعني
+
+170
+00:19:37,650 --> 00:19:50,690
+T1 ستكون ساويةتلاتة و ستة بطمنتاش تلاتة
+
+171
+00:19:50,690 --> 00:19:56,570
+و تمانية باربع و عشرين تلاتة و تسعة تسعة و عشرين
+
+172
+00:19:56,570 --> 00:20:01,690
+تلاتة و تمانية باربع و عشرين تلاتة و تمانية باربع
+
+173
+00:20:01,690 --> 00:20:03,510
+و عشرين تلاتة و تمانية باربع و عشرين تلاتة و
+
+174
+00:20:03,510 --> 00:20:03,950
+تمانية باربع و عشرين تلاتة و تمانية باربع و عشرين
+
+175
+00:20:03,950 --> 00:20:05,950
+تلاتة و تمانية باربع و عشرين تلاتة و تمانية باربع
+
+176
+00:20:05,950 --> 00:20:06,570
+و عشرين تلاتة و تمانية باربع و عشرين تلاتة و
+
+177
+00:20:06,570 --> 00:20:06,670
+تمانية باربع و عشرين تلاتة و تمانية باربع و عشرين
+
+178
+00:20:06,670 --> 00:20:09,890
+تلاتة
+
+179
+00:20:09,890 --> 00:20:24,320
+و تمانية باربع و عشرين تلاتةالتانية هاخد
+
+180
+00:20:24,320 --> 00:20:33,800
+ال free pedagram للبكرة هذه البكرة
+
+181
+00:20:33,800 --> 00:20:34,040
+C
+
+182
+00:20:43,670 --> 00:20:51,510
+هكوين دي هين T و T صح واندي
+
+183
+00:20:51,510 --> 00:20:57,410
+T واحد و
+
+184
+00:20:57,410 --> 00:21:04,770
+الوزن اللي احنا عايشه مهمل هذا C هتساوي
+
+185
+00:21:04,770 --> 00:21:12,650
+MC
+
+186
+00:21:14,970 --> 00:21:24,570
+في AC هاي
+
+187
+00:21:24,570 --> 00:21:32,890
+ال Y هاي ال X ال MC ال assumption بتاعنا ال MC
+
+188
+00:21:32,890 --> 00:21:42,110
+بالساوية Zero صح؟ المعنى اللي أخدت ال summation لل
+
+189
+00:21:42,110 --> 00:21:42,510
+forces
+
+190
+00:21:48,330 --> 00:22:08,870
+تجاه ال Y بيستوى M C A C هكون ان ده هكون
+
+191
+00:22:08,870 --> 00:22:13,270
+اتنين T minus
+
+192
+00:22:13,270 --> 00:22:22,330
+T واحدبتساوي Zero في AC صح يعني هتساوي ايش Zero
+
+193
+00:22:22,330 --> 00:22:28,710
+بنيته T واحد بتساوي Ninety
+
+194
+00:22:44,060 --> 00:22:54,940
+عوّض تلاتة في اتنين يعني انا هكون عند اتنين T يعني
+
+195
+00:22:54,940 --> 00:23:00,680
+خلّيني ارتب معدلات عند هاي T بالساوية
+
+196
+00:23:00,680 --> 00:23:11,980
+ميت AA المعدلة التانية اتنين T صح اتنين T
+
+197
+00:23:17,420 --> 00:23:26,460
+بالساوية ألفين وتسعة مية واحد و أربعين point
+
+198
+00:23:26,460 --> 00:23:31,580
+تمانية ناقص
+
+199
+00:23:31,580 --> 00:23:39,020
+تلت مية AB
+
+200
+00:23:39,020 --> 00:23:42,160
+يالا
+
+201
+00:23:42,160 --> 00:23:44,440
+قصفني على اتنين بصير عندي T
+
+202
+00:23:51,620 --> 00:24:04,960
+بالساوية واحد اربعة سبعة سفر point تسعة ناقص مية و
+
+203
+00:24:04,960 --> 00:24:08,580
+خمسين AB
+
+204
+00:24:08,580 --> 00:24:14,840
+هاي
+
+205
+00:24:14,840 --> 00:24:21,040
+اربعةاللي انا عندي هاي معادلة واحد واربعة بمجاهيل
+
+206
+00:24:21,040 --> 00:24:26,840
+اللي هي T و AA و AB يعني عندي تلت مجاهيل ومعادلتين
+
+207
+00:24:26,840 --> 00:24:33,760
+هل كفين المعادلات للحل؟ لأ محتاج معادلة تالتة لما
+
+208
+00:24:33,760 --> 00:24:42,040
+انا اجيب معادلة تالتة هذا حركة مرتبطة صح؟ حركة
+
+209
+00:24:42,040 --> 00:24:45,540
+مرتبطة يعني انا روحت هنا عرفت
+
+210
+00:24:53,270 --> 00:25:04,930
+أكيد هاي ال X و هاي ال Y هاد
+
+211
+00:25:04,930 --> 00:25:11,230
+هتكون إيش XA
+
+212
+00:25:11,230 --> 00:25:14,350
+و
+
+213
+00:25:14,350 --> 00:25:17,030
+هاد هتكون YB
+
+214
+00:25:30,410 --> 00:25:38,970
+اللي هو نحكي relate اللي هي motion motion
+
+215
+00:25:38,970 --> 00:25:42,630
+of
+
+216
+00:25:42,630 --> 00:25:53,610
+a and d is related مرتبطة
+
+217
+00:25:53,610 --> 00:25:59,150
+via خلال اللي هو ال rope
+
+218
+00:26:01,860 --> 00:26:14,240
+Poly system معناته
+
+219
+00:26:14,240 --> 00:26:20,260
+هكون دي XA زائد
+
+220
+00:26:20,260 --> 00:26:29,360
+اتنين YB معناته
+
+221
+00:26:29,360 --> 00:26:29,920
+AA
+
+222
+00:26:32,960 --> 00:26:46,680
+زاد اتنين a b بالساوية صفر معناته
+
+223
+00:26:46,680 --> 00:26:51,080
+a a بالساوية
+
+224
+00:26:51,080 --> 00:26:59,480
+سالو اتنين a b معناته اذا كان a تسار
+
+225
+00:26:59,480 --> 00:27:04,910
+على التجاه لكن انا بيهمي القيمةبهمن القيمة، معناته
+
+226
+00:27:04,910 --> 00:27:13,470
+قيمة AA اتنين AB اللي انا هحوض هنا هنا substitute
+
+227
+00:27:13,470 --> 00:27:18,650
+ليش
+
+228
+00:27:18,650 --> 00:27:24,190
+بهمن القيمة؟ انا هنا ماعملت هذه طلعت على هذه كويس،
+
+229
+00:27:24,190 --> 00:27:28,570
+هيك شغلنا صح، لكن ماعوض هنا هذه جاي من هذه وهذه
+
+230
+00:27:28,570 --> 00:27:34,390
+جاي من هذهصح هاي ال reference بتاعي و انا لما حطيت
+
+231
+00:27:34,390 --> 00:27:39,870
+الكتابة في المعادلة كنت اطلع انا شايف شوف مش زي
+
+232
+00:27:39,870 --> 00:27:43,150
+اشسمع صح انا شايف يعني فاهم بعود على القيم
+
+233
+00:27:43,150 --> 00:27:47,390
+substitute about
+
+234
+00:27:47,390 --> 00:27:57,850
+a a اللي هي ده كتابة نقصة يعني ال value in
+
+235
+00:27:57,850 --> 00:28:00,010
+one
+
+236
+00:28:05,600 --> 00:28:16,880
+T بساوة متين AB المعادلة
+
+237
+00:28:16,880 --> 00:28:22,960
+التانية T بساوة
+
+238
+00:28:22,960 --> 00:28:28,460
+الف اربعمية وسبعين
+
+239
+00:28:29,400 --> 00:28:38,120
+point nine ناقص مية و خمسين ايه بيه اعوض اترى حد
+
+240
+00:28:38,120 --> 00:28:44,700
+من هذه يعني
+
+241
+00:28:44,700 --> 00:28:49,360
+متين لأ
+
+242
+00:28:49,360 --> 00:28:55,420
+مابحطش السالب واضح
+
+243
+00:28:55,420 --> 00:29:00,410
+لأن هذه المعادلاتانت مش دايما ده تفكر رياضياته بس
+
+244
+00:29:00,410 --> 00:29:04,610
+هاد المعادلات هاد و هاد و هاد مشتقن free ده لإن
+
+245
+00:29:04,610 --> 00:29:06,830
+انا حاطب تجاهتي لإن انا حاطب تجاهتي انا ماتطلع على
+
+246
+00:29:06,830 --> 00:29:10,470
+هاد فهمت
+
+247
+00:29:10,470 --> 00:29:15,950
+عليك؟ و هاطلع على هاد خلاص إذا طلعت على figure انا
+
+248
+00:29:15,950 --> 00:29:20,130
+ماخد مشتقن يعني معادلة صح 100% وبالتالي بيهمني قيم
+
+249
+00:29:20,130 --> 00:29:28,530
+ال a b علاقة قيمة a b مع قيمة a aهذا سيكون دي
+
+250
+00:29:28,530 --> 00:29:34,110
+مائتين ا بي
+
+251
+00:29:34,110 --> 00:29:49,450
+هتساوي الف اربعمية نعم ناقص
+
+252
+00:29:49,450 --> 00:29:56,850
+مائة و خمسين ا بيبالظبط عشان زى ما حاكمه اللي لازم
+
+253
+00:29:56,850 --> 00:30:00,490
+تكون ده مشدوده عشان هيك اللي مارجعاش تفريق ال
+
+254
+00:30:00,490 --> 00:30:14,290
+diagram يعني هكون بنحسب منها ال a,b اربعة
+
+255
+00:30:14,290 --> 00:30:22,710
+point اتنين اعطيني كم هالرقمأربعة صفر اتنين متر
+
+256
+00:30:22,710 --> 00:30:32,790
+per second square لتحت خط السهم ال a a هتكون ضعفة
+
+257
+00:30:32,790 --> 00:30:42,930
+هتكون تمانية اربعة صفر اربعة متر per second square
+
+258
+00:30:42,930 --> 00:30:46,130
+هتكون
+
+259
+00:30:46,130 --> 00:30:51,760
+لهكمايفش friction ال brush كل system بيه بالجاذبية
+
+260
+00:30:51,760 --> 00:31:02,640
+هتكون لليامين a
+
+261
+00:31:02,640 --> 00:31:05,480
+bit of tension عوض في واحدة فيهم tension هيكون
+
+262
+00:31:05,480 --> 00:31:09,060
+tension
+
+263
+00:31:09,060 --> 00:31:20,580
+اللي هي مية في a a اللي هي تمانيةpoint 404 يعني
+
+264
+00:31:20,580 --> 00:31:33,860
+هتكون تمامية و أربعين point four في نيوتن في
+
+265
+00:31:33,860 --> 00:31:39,940
+أي سؤال في
+
+266
+00:31:39,940 --> 00:31:43,980
+دكتور اسمه شد T1 يعني ال T1 انت عمله من مقر
+
+267
+00:31:43,980 --> 00:31:52,030
+الاتحادفي ال B لفوق بالنسبة
+
+268
+00:31:52,030 --> 00:31:57,410
+ل B لما نقعد cut هنا الحبل طبعا بيحاول يشد الوزن
+
+269
+00:31:57,410 --> 00:32:03,370
+لتحت بيحاول يشده حيث انا عملت cut هنا عملت cut هنا
+
+270
+00:32:03,370 --> 00:32:06,890
+يعني اذا أخدت هدف في الوديجرام انا تهدي لأعلى اذا
+
+271
+00:32:06,890 --> 00:32:09,710
+مهدد .. لما اجمعهم مع بعض ال two internal force
+
+272
+00:32:09,710 --> 00:32:17,680
+بيصفبلغوا بعض بعض فلازم يكون عكس بعضالحبل مشدود صح
+
+273
+00:32:17,680 --> 00:32:23,340
+لما انت لما تلتب ال cut بيبين القيمة بتاعتها واحدة
+
+274
+00:32:23,340 --> 00:32:30,960
+بتكون على واحدة الأسفل هو
+
+275
+00:32:30,960 --> 00:32:36,160
+لو مشدود بيصيرش الحركة صح اللي
+
+276
+00:32:36,160 --> 00:32:38,700
+جيتها الدكتور محط هدف من البكرات اللي هي تزويد
+
+277
+00:32:38,700 --> 00:32:39,240
+القوة
+
+278
+00:32:46,090 --> 00:32:53,810
+انت مين بياخد acceleration تمام ايه؟ اه اه لان هذا
+
+279
+00:32:53,810 --> 00:32:59,130
+في example هنجيله على
+
+280
+00:32:59,130 --> 00:33:05,230
+المصاد بتشوف انت كيف انت من خلال التحكم
+
+281
+00:33:07,200 --> 00:33:12,940
+في نظام البكرات شكل تصميم نظام البكرات بتنزل ال
+
+282
+00:33:12,940 --> 00:33:17,860
+power بتاعة الموتور كتير بتحط نظام بكرات مع ما
+
+283
+00:33:17,860 --> 00:33:23,220
+يسمى counter weight الوزن الإضافي أو الوزن المعاكز
+
+284
+00:33:23,220 --> 00:33:27,630
+يسموهمن خلال .. هتحلل من خلال المثال هتشوف كيف ان
+
+285
+00:33:27,630 --> 00:33:30,090
+انا بتحكم في ال power بنزل ال power بتاعة ال motor
+
+286
+00:33:30,090 --> 00:33:33,550
+كتير ل .. لتلت بنزلها تقريبا انا راح أصل من عكسة
+
+287
+00:33:33,550 --> 00:33:37,370
+الآية يا عزيزي ايوة ال T واحد سوى نم T نم T عديد
+
+288
+00:33:37,370 --> 00:33:40,490
+لعديد ال T واحد .. اه طبعا ال T واحد اللي هي هادد
+
+289
+00:33:40,490 --> 00:33:44,350
+ايوة هو في عندك ال T واحد انتجة ال acceleration
+
+290
+00:33:44,350 --> 00:33:53,760
+بتزود الشد اللي انا نازل انا نازلمتوقع انت عندك
+
+291
+00:33:53,760 --> 00:33:59,320
+وين ال T واحد هاي ال T واحد انا
+
+292
+00:33:59,320 --> 00:34:03,360
+بتزيد ال acceleration لتحت معناته هتخفف ال tension
+
+293
+00:34:03,360 --> 00:34:12,440
+ولا هتزود ال tension بتخفف بتساعد لكن
+
+294
+00:34:12,440 --> 00:34:17,820
+لا انا هطالع اطلوع لأعلى بدي اقوم ال inertia force
+
+295
+00:34:17,820 --> 00:34:20,680
+بتاعة ال acceleration بدي اقوم فبتزيد ال tension
+
+296
+00:34:21,750 --> 00:34:29,310
+يعني تخيلي تماسك و وزن و طلعت ساعة أعلى من العمارة
+
+297
+00:34:29,310 --> 00:34:36,030
+و نطيت معاك و الوزن تحسه خفيف كتير اتخيل انك تنط
+
+298
+00:34:36,030 --> 00:34:43,590
+لأعلى و انتحار الوزن مظبوط؟ لأن انا في اتجاهة
+
+299
+00:34:43,590 --> 00:34:48,470
+بتخفف علي اذا عكسي بتزوق لان هذه force في الآخر
+
+300
+00:34:48,470 --> 00:34:49,910
+force إضافية
+
+301
+00:34:54,410 --> 00:35:05,270
+شوف مثال تاني the
+
+302
+00:35:05,270 --> 00:35:19,490
+twelve
+
+303
+00:35:19,490 --> 00:35:25,000
+pound block بيstarts from rest and slides on the
+
+304
+00:35:25,000 --> 00:35:31,560
+thirty pounds وجه A يعني الميزة بتاعة A الوزن
+
+305
+00:35:31,560 --> 00:35:40,820
+بتاع A بساوة تلاتين pound و
+
+306
+00:35:40,820 --> 00:35:46,280
+الوزن بتاع block B اتناشر
+
+307
+00:35:46,280 --> 00:35:46,600
+pound
+
+308
+00:35:52,290 --> 00:35:54,950
+which is supported by a horizontal surface يعني
+
+309
+00:35:54,950 --> 00:36:02,610
+هين ال a دي على سطح أفقه والاحتكاك هي الفرضية اللي
+
+310
+00:36:02,610 --> 00:36:05,650
+بنهمله determine the acceleration of the wedge
+
+311
+00:36:05,650 --> 00:36:10,310
+يعني وجه ال acceleration ل a و ال acceleration of
+
+312
+00:36:10,310 --> 00:36:14,890
+b relative to a يعني بده
+
+313
+00:36:19,670 --> 00:36:38,370
+و بده A B بالنسبة ل A خلنا نضيف كمان بدنا A B حبدة
+
+314
+00:36:38,370 --> 00:36:39,450
+من A
+
+315
+00:36:48,350 --> 00:36:54,970
+هعمل فري بدي أجرب لإيه ال force بتأثر على إيه نبدأ
+
+316
+00:36:54,970 --> 00:36:58,870
+ورش وزنه وا
+
+317
+00:36:58,870 --> 00:37:02,770
+وفي
+
+318
+00:37:02,770 --> 00:37:10,090
+إن عندي normal force تسميها n n
+
+319
+00:37:10,090 --> 00:37:12,210
+واحد هسميها إيش n واحد
+
+320
+00:37:19,060 --> 00:37:30,200
+و في رد فعل من b على a هكونش زي هيك خليني أسميه n
+
+321
+00:37:30,200 --> 00:37:36,580
+اتنين هو بيحكي neglect friction neglect friction
+
+322
+00:37:36,580 --> 00:37:45,720
+في شي تانه مافيش friction عندى يساوي هذا كله هساوي
+
+323
+00:37:45,720 --> 00:37:46,300
+اعمل ليه
+
+324
+00:37:51,860 --> 00:38:02,920
+الـ A هيتحرك بيه ده الاتجاه W A على G في A A صح؟
+
+325
+00:38:02,920 --> 00:38:08,460
+حد الزاوية كم؟ تلاتين
+
+326
+00:38:08,460 --> 00:38:15,000
+درجة وهي عند ال X وهي
+
+327
+00:38:15,000 --> 00:38:15,320
+ال Y
+
+328
+00:38:23,710 --> 00:38:36,230
+ناخد sum of forces بالاتجاه ال Y ناخد
+
+329
+00:38:36,230 --> 00:38:37,650
+sum of forces بالاتجاه ال Y ناخد sum of forces
+
+330
+00:38:37,650 --> 00:38:41,390
+بالاتجاه ال Y ناخد sum of forces بالاتجاه ال Y
+
+331
+00:38:41,390 --> 00:38:45,090
+ناخد sum of forces بالاتجاه ال Y ناخد sum of
+
+332
+00:38:45,090 --> 00:38:47,610
+forces بالاتجاه ال Y ناخد sum of forces بالاتجاه
+
+333
+00:38:47,610 --> 00:38:49,830
+ال Y ناخد sum of forces بالاتجاه ال Y ناخد sum of
+
+334
+00:38:49,830 --> 00:38:51,550
+forces بالاتجاه ال Y ناخد sum of forces بالات
+
+335
+00:38:56,380 --> 00:39:11,040
+ن واحد ماينس ن اتنين كسين التلاتين صح ماينس
+
+336
+00:39:11,040 --> 00:39:17,280
+وا معناه
+
+337
+00:39:17,280 --> 00:39:22,060
+انت هكون عند ن واحد ن
+
+338
+00:39:22,060 --> 00:39:35,160
+واحد ماينس ن اتنينcos 30 ستساوي wa التي هي yaş
+
+339
+00:39:35,160 --> 00:39:39,020
+تلاتين صح؟
+
+340
+00:39:39,020 --> 00:39:45,440
+هذه معادلة واحدة ثم
+
+341
+00:39:45,440 --> 00:39:46,580
+ناخد باتجاه ال X
+
+342
+00:40:00,020 --> 00:40:12,140
+بالساوية هكون عندي n اتنين سان التلاتين حتى
+
+343
+00:40:12,140 --> 00:40:16,420
+لو اتفرضت غلط طلع
+
+344
+00:40:16,420 --> 00:40:21,400
+المطال على free diagram لو المنطق زي هيك هيك صح
+
+345
+00:40:25,670 --> 00:40:28,410
+لأ انا بتعامل مع ال number of force بتعامل مع
+
+346
+00:40:28,410 --> 00:40:32,570
+number of force انتبه هتعامل مع number of force
+
+347
+00:40:32,570 --> 00:40:38,370
+هتعرف بعد شوية مش مع وزن ال .. ال .. ال number of
+
+348
+00:40:38,370 --> 00:40:43,470
+force جاية نتيجة الوزن بتاعة block B و ال
+
+349
+00:40:43,470 --> 00:40:51,410
+acceleration ل B نسبة ل A هي هدا .. هتسمي A هدا A
+
+350
+00:40:52,490 --> 00:41:03,330
+هيكون عندي N2 SIN 30 هتساوي WA على
+
+351
+00:41:03,330 --> 00:41:16,770
+G في AA يعني
+
+352
+00:41:16,770 --> 00:41:20,030
+هنكون عندي N2
+
+353
+00:41:22,760 --> 00:41:32,860
+SIN التلاتين بالساوية WA التي هي تلاتين على اتنين
+
+354
+00:41:32,860 --> 00:41:46,360
+و تلاتين دي من عشرة في ال AA هي معدلة اتنين لان
+
+355
+00:41:46,360 --> 00:41:47,220
+هاخد بي
+
+356
+00:41:58,100 --> 00:42:06,300
+B في وزنه لتحت الـ WB
+
+357
+00:42:06,300 --> 00:42:14,420
+و في كمان H N2
+
+358
+00:42:14,420 --> 00:42:19,860
+اللي هو جاء من B من A على B اللي هو عكس هذا
+
+359
+00:42:23,380 --> 00:42:30,540
+و مافي احتكاك اشي تاني مافي اشي تاني بالساوية حد
+
+360
+00:42:30,540 --> 00:42:34,880
+الزاغية تلاتين
+
+361
+00:42:34,880 --> 00:42:39,480
+درجة
+
+362
+00:42:39,480 --> 00:42:49,900
+ايش
+
+363
+00:42:49,900 --> 00:42:52,360
+تسجل ال explanation لبيه
+
+364
+00:42:56,830 --> 00:43:02,090
+لأ هو بنزل لتحت و بدفع للأمام معناته في علاقة بين
+
+365
+00:43:02,090 --> 00:43:07,050
+ال expression ل ال b و ال a اللي أنا بدي أجهزك على
+
+366
+00:43:07,050 --> 00:43:19,390
+جانب ال a b ك vector ايش مستوي ال a a ك vector
+
+367
+00:43:19,390 --> 00:43:25,410
+زائد a b بالنسبة ل a ك vector
+
+368
+00:43:30,180 --> 00:43:37,320
+صح يعني ال A B لها two components ال A B هاي A A
+
+369
+00:43:37,320 --> 00:43:45,040
+هاي دزئية هادي A A و A B بالنسبة ل A B بالنسبة ل A
+
+370
+00:43:45,040 --> 00:43:49,620
+A تخيل ان انت جالس عليه تتفرج و هينزل من زول هكون
+
+371
+00:43:49,620 --> 00:43:54,540
+دهان A
+
+372
+00:43:54,540 --> 00:44:07,900
+Bبالنسبة ل A طبعا فى F مضروبة هتكون
+
+373
+00:44:07,900 --> 00:44:19,620
+هذه WB على G فى AB يعني كأنه ضربت هذه في ال mass
+
+374
+00:44:19,620 --> 00:44:23,860
+بتاعة ال B وهذه
+
+375
+00:44:23,860 --> 00:44:24,360
+هتكون
+
+376
+00:44:29,590 --> 00:44:39,190
+WB على G فى الـ AA اللى هم هدى هدى المكونات بتاعة
+
+377
+00:44:39,190 --> 00:44:44,170
+الـ AB اللى هى AA اه ده حطبه طبعا انا بحكي sum
+
+378
+00:44:44,170 --> 00:44:47,790
+partial force بس هو M فى A صح؟ بضربه فى ال mass
+
+379
+00:44:47,790 --> 00:44:53,610
+يعنى مرة M هتدخل على ال AA و مرة M تدخل على ال ABA
+
+380
+00:44:53,610 --> 00:44:56,730
+هي هيك القوات اللى هى المراكبتين
+
+381
+00:45:00,340 --> 00:45:11,860
+طيب حد الزوايا كم هتكون هتكون تلاتين درجة لو
+
+382
+00:45:11,860 --> 00:45:19,320
+اعتبرت انا اعتبرت
+
+383
+00:45:19,320 --> 00:45:24,060
+هاي ال X وهاي
+
+384
+00:45:24,060 --> 00:45:27,460
+ال Y ايه كان ده اعتبرها
+
+385
+00:45:39,160 --> 00:45:42,820
+او بصير اعمل off كمان خلّيني زي ما سويت انا
+
+386
+00:45:42,820 --> 00:45:55,300
+summation لل forces باتجاه ال Y بتساوي
+
+387
+00:46:06,320 --> 00:46:16,600
+او خليني اعمل المحاور هاي X وهي
+
+388
+00:46:16,600 --> 00:46:21,500
+Y هكون
+
+389
+00:46:21,500 --> 00:46:25,920
+summation لل forces باتجاه X
+
+390
+00:46:30,580 --> 00:46:41,460
+بساوة M في AX يعني انا حاول اقول اندي minus
+
+391
+00:46:41,460 --> 00:46:48,760
+N sin
+
+392
+00:46:48,760 --> 00:46:56,740
+13 minus N اتنين sin التلاتين
+
+393
+00:47:06,600 --> 00:47:12,680
+بتساوى WB على
+
+394
+00:47:12,680 --> 00:47:29,220
+G AA مانوس WB على G AB بالنسبة ل A Cos التلاتين
+
+395
+00:47:37,840 --> 00:47:50,000
+-N2Sin 30 WB12
+
+396
+00:47:50,000 --> 00:47:53,880
+32
+
+397
+00:47:53,880 --> 00:48:00,420
+و 2 من 10 AA-12
+
+398
+00:48:01,940 --> 00:48:08,600
+على اتنين و تلاتين و اتنين من عشرة ABA كسين
+
+399
+00:48:08,600 --> 00:48:12,400
+التلاتين هندي
+
+400
+00:48:12,400 --> 00:48:21,640
+معادلة تلاتة بداخل
+
+401
+00:48:21,640 --> 00:48:23,400
+summation of forces باتجاه ال Y
+
+402
+00:48:30,500 --> 00:48:37,820
+بتساوي M AY تجاه
+
+403
+00:48:37,820 --> 00:48:47,540
+ال Y يعني ال N2 كوسين التلاتين minus
+
+404
+00:48:47,540 --> 00:48:54,220
+WB بتساوي
+
+405
+00:48:54,220 --> 00:48:59,180
+minus WB
+
+406
+00:49:02,000 --> 00:49:08,880
+على G ABA SIN
+
+407
+00:49:08,880 --> 00:49:21,660
+التلاتين باتجاه
+
+408
+00:49:21,660 --> 00:49:27,380
+ال X هى ال X هى
+
+409
+00:49:27,380 --> 00:49:29,200
+minus N 2 SIN التلاتين
+
+410
+00:49:31,940 --> 00:49:44,240
+هذه؟ لأ بس كتبت هنا عوضت عنها دي بس لحظة
+
+411
+00:49:44,240 --> 00:49:49,540
+شوية عندكوا هنا بتجاه ال X minus N two sine تلاتين
+
+412
+00:49:49,540 --> 00:49:56,000
+بتساوي بتساوي اللي هي WB على G في AA صح minus WB
+
+413
+00:49:56,000 --> 00:49:58,980
+على G في ABA كساين تلاتين هيك صح المعادلة
+
+414
+00:50:07,740 --> 00:50:13,620
+هذه عموديه ما هي ناحية في ال X عموديه مابتبينش
+
+415
+00:50:13,620 --> 00:50:22,500
+هيكون ان ده انتوا
+
+416
+00:50:22,500 --> 00:50:33,430
+انتوا cosine التلاتين minus اتناشبستوي minus 12
+
+417
+00:50:33,430 --> 00:50:53,190
+على 32 و 2 من 10 في ABA sin 30 هذا
+
+418
+00:50:53,190 --> 00:51:01,160
+المعادلة ايش الرابع خلنا نحط المعادلات جانب بعضهذه
+
+419
+00:51:01,160 --> 00:51:06,860
+المعادلة الأولى n واحد minus n اتنين cosine
+
+420
+00:51:06,860 --> 00:51:14,260
+التلاتين بالساوية تلاتين المعادلة التانية n اتنين
+
+421
+00:51:14,260 --> 00:51:17,440
+sine
+
+422
+00:51:17,440 --> 00:51:23,580
+التلاتين بالساوية تلاتين على اتنين و تلاتين و
+
+423
+00:51:23,580 --> 00:51:27,320
+اتنين و عشرة a ل a المعادلة التالتة
+
+424
+00:51:29,800 --> 00:51:39,180
+-N2 SIN التلاتين بالساوت بالساوت اتناش على اتنين و
+
+425
+00:51:39,180 --> 00:51:48,000
+تلاتين و اتنين من عشرة AA minus اتناشعلى اتنين و
+
+426
+00:51:48,000 --> 00:51:53,140
+تلاتين و اتنين و عشرة ABA كوساين التلاتين
+
+427
+00:51:53,140 --> 00:52:02,240
+والمعادلة الرابع N2 كوساين التلاتين ناقص اتناش سوى
+
+428
+00:52:02,240 --> 00:52:06,520
+ناقص اتناش على اتنين و تلاتين و اتنين و عشرة في
+
+429
+00:52:06,520 --> 00:52:15,080
+ABA sin التلاتين عندى معادلة واحد هى اتنين هى
+
+430
+00:52:15,080 --> 00:52:22,410
+تلاتةهي اربعة عند ال variables ال unknowns اللي
+
+431
+00:52:22,410 --> 00:52:33,030
+هم ايش N واحد و N اتنين و AA و ABA اربعة معدلات
+
+432
+00:52:33,030 --> 00:52:35,570
+برمجهيل solve
+
+433
+00:52:46,120 --> 00:52:50,840
+يعني في أكتر من طريقة للحل هيك و نخلصنا حل السؤال
+
+434
+00:52:50,840 --> 00:52:54,620
+حلوا المعادلات و اجيبوا ان واحد ان اتنين و AA و
+
+435
+00:52:54,620 --> 00:53:00,260
+ABA فيها سؤال اعطيكم العافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/pRBRe9mL1TU.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/pRBRe9mL1TU.srt
new file mode 100644
index 0000000000000000000000000000000000000000..ede856bb8e1e6258cd356e41ceabe7e8ccf3a3cf
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/pRBRe9mL1TU.srt
@@ -0,0 +1,766 @@
+1
+00:00:05,150 --> 00:00:07,870
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,870 --> 00:00:11,590
+وبركاته. هنرجع لمادة الديناميكا (الكنيتكس) of
+
+3
+00:00:11,590 --> 00:00:14,870
+rigid bodies. المحاضرة الفاتحة حكينا عن ال
+
+4
+00:00:14,870 --> 00:00:21,330
+constraint plane motion. حلينا example، اليوم هنكمل
+
+5
+00:00:21,330 --> 00:00:24,190
+في ال constraint motion، هنحكي عن non-centroidal
+
+6
+00:00:24,190 --> 00:00:27,870
+rotation. Non-centroidal rotation يعني الدوران
+
+7
+00:00:27,870 --> 00:00:32,310
+بيكون حول نقطة ليست مركز ثقل. هذا يعني non-
+
+8
+00:00:32,310 --> 00:00:35,230
+centroidal rotation، زي ما احنا شايفين في الحالة
+
+9
+00:00:35,230 --> 00:00:41,590
+هذه. في عندي rigid body، هذا مركز ثقل (G) ويدور
+
+10
+00:00:41,590 --> 00:00:48,810
+حول نقطة O. لأن نتيجة دورانه حول نقطة O بيكون
+
+11
+00:00:48,810 --> 00:00:52,790
+ لمركز الثقل فيه component of acceleration اللي
+
+12
+00:00:52,790 --> 00:00:59,050
+هي R في Omega Square، وفي عندي tangential component
+
+13
+00:00:59,050 --> 00:01:09,270
+اللي هي R في Alpha. هذه أساسية. النقطة G فبكون
+
+14
+00:01:09,270 --> 00:01:16,110
+في علاقة بين ال... يعني لما يكون pure rotation بقدر
+
+15
+00:01:16,110 --> 00:01:20,210
+أوجد ال acceleration لمركز الثقل، اللي حتكون لها two
+
+16
+00:01:20,210 --> 00:01:25,370
+components، واحدة normal component، وواحدة tangential
+
+17
+00:01:25,370 --> 00:01:33,370
+component. الآن
+
+18
+00:01:33,370 --> 00:01:38,730
+لو بدي أعمل free body diagram، والجسم هذا عليه
+
+19
+00:01:38,730 --> 00:01:43,050
+مجموعة من ال forces بتأثر: F1, F2, F3، وفيه طبعاً
+
+20
+00:01:43,050 --> 00:01:49,570
+نقطة الدوران، وفيه رد الفعل RX وRY.
+
+21
+00:01:49,570 --> 00:01:56,160
+ نتيجة ال forces هذه، بتطلع عندي ال motion اللي هو
+
+22
+00:01:56,160 --> 00:02:02,860
+عندي M a tangential و M a normal، وفي I alpha
+
+23
+00:02:02,860 --> 00:02:09,880
+حول… حول المركز. الآن لو أخذنا ال moment حول
+
+24
+00:02:09,880 --> 00:02:16,420
+O، هتروح ال Rx و ال Ry، و ال F1 و ال F2 و ال F3 بتعمل
+
+25
+00:02:16,420 --> 00:02:20,880
+moment حول من ال O. مظبوط. لما تجي تعمل moment
+
+26
+00:02:20,880 --> 00:02:27,440
+حول O على الجهة الثانية، هتكون عندي I Alpha. ال M
+
+27
+00:02:27,440 --> 00:02:33,380
+إيش اللي بتعمل moment؟ لأ، يعني هتكون عندي I Alpha
+
+28
+00:02:33,380 --> 00:02:42,200
+زائد M Atangential. طيب ال Atangential طبعاً هيكون I α
+
+29
+00:02:42,200 --> 00:02:47,680
+× R. طيب تذكروا ال A tangential
+
+30
+00:02:47,680 --> 00:02:52,540
+إيش شو يساوي؟ Alpha × R. احنا عندنا M A tangential
+
+31
+00:02:52,540 --> 00:02:59,700
+× R، يعني هيكون Alpha R تربيع × M، يعني هيكون ال
+
+32
+00:02:59,700 --> 00:03:06,320
+moment هيكون حول O. moment حول O.
+
+33
+00:03:10,470 --> 00:03:18,310
+هي ممكن، للفرصة اللي هي F1 F2 F3، هتكون I Alpha زائد
+
+34
+00:03:18,310 --> 00:03:29,430
+M A Tangential × R. هتكون I Alpha زائد M A
+
+35
+00:03:29,430 --> 00:03:37,080
+Tangential × R × R، يعني هاخد Alpha عام مشترك،
+
+36
+00:03:37,080 --> 00:03:46,620
+هيكون عندي I Alpha زائد MR تربيع. هذه ال parallel axis
+
+37
+00:03:46,620 --> 00:03:54,340
+theorem. هذه يعني I زائد MR square، هي Alpha × I حول
+
+38
+00:03:54,340 --> 00:03:59,100
+O. الـ moment
+
+39
+00:03:59,100 --> 00:04:02,480
+في النقطة حول O بتساوي ال moment في النقطة حول مركز
+
+40
+00:04:02,480 --> 00:04:08,640
+الثقل زائد الكتلة بتاعة الجسم × المسافة بين النقطة O
+
+41
+00:04:08,640 --> 00:04:13,440
+ومركز الثقل. معناته مباشرة ممكن أحكي على طول
+
+42
+00:04:13,440 --> 00:04:19,360
+summation of moments حول ال O بيساوي Alpha × I O
+
+43
+00:04:19,360 --> 00:04:25,460
+وال I O اللي هي بيساوي ال I حول مركز الثقل
+
+44
+00:04:25,460 --> 00:04:28,620
+اللي هي I زائد MR square.
+
+45
+00:04:38,420 --> 00:04:44,300
+نشوف مثال. portion
+
+46
+00:04:44,300 --> 00:04:53,060
+A or B of the mechanism is actuated by gear D. عندي
+
+47
+00:04:53,060 --> 00:05:03,000
+اللي هو الذراع ملحوم مع الترس، هذا يدور معه. الـ
+
+48
+00:05:03,000 --> 00:05:10,900
+input جاي من عندي. لما يدور D، يدور الترس E معه.
+
+49
+00:05:10,900 --> 00:05:14,220
+and the institution has a clockwise angular
+
+50
+00:05:14,220 --> 00:05:20,500
+velocity of eight radian per second. يعني
+
+51
+00:05:20,500 --> 00:05:26,140
+ نلخص المثال عندي
+
+52
+00:05:26,140 --> 00:05:31,500
+اللي
+
+53
+00:05:31,500 --> 00:05:35,620
+هي omega لـ D. omega D
+
+54
+00:05:40,060 --> 00:05:46,000
+بتساوي ثمانية radian per second clockwise. ثمانية
+
+55
+00:05:46,000 --> 00:05:54,300
+radian per second clockwise and
+
+56
+00:05:54,300 --> 00:05:58,340
+a counter-clockwise angular acceleration. و alpha D
+
+57
+00:05:58,340 --> 00:06:08,660
+بتساوي أربعين radian per second square، بعكس عقارب
+
+58
+00:06:08,660 --> 00:06:09,040
+الساعة.
+
+59
+00:06:12,160 --> 00:06:23,020
+ومعطيني ال mass للـ … لل gear E، اللي
+
+60
+00:06:23,020 --> 00:06:29,580
+هي أربعة كيلو جرام. ومعطيني
+
+61
+00:06:29,580 --> 00:06:36,340
+ال radius of gyration لل gear E، KE بتساوي 0.085 متر.
+
+62
+00:06:40,480 --> 00:06:46,820
+ومعطيني ال mass للرد OB، اللي
+
+63
+00:06:46,820 --> 00:06:56,220
+هي ثلاثة كيلو جرام. بده
+
+64
+00:06:56,220 --> 00:07:01,500
+قيمة ال tangential force exerted by gear D on gear
+
+65
+00:07:01,500 --> 00:07:01,920
+E.
+
+66
+00:07:10,950 --> 00:07:17,030
+طيب، الآن هو ال gear D عندي جاية
+
+67
+00:07:17,030 --> 00:07:21,790
+يعني ال gear D، صح؟
+
+68
+00:07:21,790 --> 00:07:31,210
+ال gear D بتدور باتجاه عقارب الساعة، معناته
+
+69
+00:07:31,210 --> 00:07:37,990
+ده… ده حد… ده حد، وما فيه… بعكس عقارب الساعة، معناته
+
+70
+00:07:37,990 --> 00:07:44,600
+ال gear D هيعمل لي force هو المدور، فبتأثر عليه زي
+
+71
+00:07:44,600 --> 00:07:55,420
+هيك. فتكون عندي force عندي
+
+72
+00:07:55,420 --> 00:08:00,260
+tangential أو في… خلينا نحكي F normal.
+
+73
+00:08:09,470 --> 00:08:15,390
+هذه. إيش ال forces اللي جاية من الترس D على الترس
+
+74
+00:08:15,390 --> 00:08:15,830
+E؟
+
+75
+00:08:54,130 --> 00:09:09,190
+على الترس… على
+
+76
+00:09:09,190 --> 00:09:21,590
+الترس
+
+77
+00:09:21,590 --> 00:09:32,210
+E؟ هذه النقطة O، هذه النقطة B. فيه بيؤثر كمان وزن
+
+78
+00:09:32,210 --> 00:09:36,050
+اللي
+
+79
+00:09:36,050 --> 00:09:47,930
+هي M OB × G، وزن الرد. فيه كمان اللي
+
+80
+00:09:47,930 --> 00:10:03,410
+هو وزن الترس ME × G، في reaction، في
+
+81
+00:10:03,410 --> 00:10:10,270
+reaction من هنا. بدي
+
+82
+00:10:10,270 --> 00:10:14,690
+أحكي Rx، وعندي
+
+83
+00:10:14,690 --> 00:10:18,610
+Ry. وعندي
+
+84
+00:10:21,280 --> 00:10:25,880
+Rx وRy. هذه
+
+85
+00:10:25,880 --> 00:10:27,000
+كل ال forces اللي بتأثر
+
+86
+00:11:36,450 --> 00:11:44,510
+هنا تيجي ال forces. هيكون في عندي للترس قاعدة طبعاً.
+
+87
+00:11:44,510 --> 00:11:47,750
+الترس مركز ثقل ثابت، مافيش acceleration
+
+88
+00:11:47,750 --> 00:11:53,630
+ لمركز الثقل، بس فيه I Alpha طبعاً.
+
+89
+00:11:53,630 --> 00:12:00,710
+الـ … ال alpha بتاعة الـ … الترس D عكس عقارب
+
+90
+00:12:00,710 --> 00:12:04,050
+الساعة، معناته هي… إيش باتجاه عقارب الساعة؟
+
+91
+00:12:04,050 --> 00:12:05,150
+معناته عندي هنا I
+
+92
+00:12:07,830 --> 00:12:21,070
+IE ألفا. ألفا. مظبوط. N عندي
+
+93
+00:12:21,070 --> 00:12:26,290
+هيكون عندي M
+
+94
+00:12:26,290 --> 00:12:27,990
+OB
+
+95
+00:12:33,670 --> 00:12:41,830
+AOB tangential، وإليه
+
+96
+00:12:41,830 --> 00:12:59,050
+M O B AOB normal. لمركز
+
+97
+00:12:59,050 --> 00:13:03,210
+الثقل للرد. طيب
+
+98
+00:13:14,690 --> 00:13:20,830
+يعني لحظة، ترسين E و D متساوين في القطر، معناته
+
+99
+00:13:20,830 --> 00:13:25,150
+ما هيكون في تغير في السرعة أو ال extraction، بس
+
+100
+00:13:25,150 --> 00:13:29,470
+هيكون تغير في الاتجاه بس، معناته ال omega D و ال
+
+101
+00:13:29,470 --> 00:13:35,760
+alpha D، اللي… يعني هيكون عندي ال omegaE هتكون
+
+102
+00:13:35,760 --> 00:13:43,220
+ثمانية radian per second عكس عقارب الساعة، و omega
+
+103
+00:13:43,220 --> 00:13:55,520
+أو Alpha E أربعين radian per second square مع
+
+104
+00:13:55,520 --> 00:13:56,260
+عقارب الساعة.
+
+105
+00:13:59,820 --> 00:14:05,620
+لو أخذ ال summation للمoment حول O. summation
+
+106
+00:14:05,620 --> 00:14:10,420
+للمoment
+
+107
+00:14:10,420 --> 00:14:17,180
+حول O، هتكون
+
+108
+00:14:17,180 --> 00:14:27,500
+الـ moment effective. طبعاً
+
+109
+00:14:30,240 --> 00:14:37,520
+عندي ال RX و ال RY بيعملوش moment، و ال MEG ما بتعمل moment، و
+
+110
+00:14:37,520 --> 00:14:41,900
+ال M OBG ما بتعمل moment. الوحيد اللي بيعمل moment هي FT، هتكون
+
+111
+00:14:41,900 --> 00:14:49,640
+R FT بتساوي
+
+112
+00:14:49,640 --> 00:14:53,700
+I
+
+113
+00:15:00,650 --> 00:15:11,030
+بس خلينا نتأكد من الاتجاهات. اه،
+
+114
+00:15:11,030 --> 00:15:18,530
+الاتجاهات غلطانة. دي… هنا هذه… هتكون العكس. إذا ال force
+
+115
+00:15:18,530 --> 00:15:26,430
+بتعمل زي هيك، هتعكس
+
+116
+00:15:26,430 --> 00:15:30,630
+الاتجاه. على حال، إذا حطينا سالب، تطلع الإشارة صح.
+
+117
+00:15:30,630 --> 00:15:42,070
+ال RFT. ال moment effective هيكون minus IE
+
+118
+00:15:42,070 --> 00:15:54,590
+Alpha. ال M… اه، طبعاً في عندي هنا كمان M OBG، عندي
+
+119
+00:15:54,590 --> 00:16:07,140
+كمان عندي IOB Alpha، minus
+
+120
+00:16:07,140 --> 00:16:20,580
+IOB Alpha. ال M OB… AOB Normal بتعمل إيش؟ شوي…
+
+121
+00:16:20,580 --> 00:16:22,480
+minus
+
+122
+00:16:26,450 --> 00:16:36,510
+MOB a
+
+123
+00:16:36,510 --> 00:16:39,570
+OB
+
+124
+00:16:39,570 --> 00:16:51,730
+tangential. نعم. فيه ثنين من عشرة. طيب،
+
+125
+00:16:53,870 --> 00:17:03,510
+ال a OB tangential قيمتها بيساوي اللي هي ثنين من
+
+126
+00:17:03,510 --> 00:17:14,810
+عشرة × ألف، صح؟ الـ
+
+127
+00:17:14,810 --> 00:17:20,930
+R عندي اللي هي مئة وعشرين، صح؟ يعني عندي point 1.2
+
+128
+00:17:20,930 --> 00:17:21,350
+.2
+
+129
+00:17:25,570 --> 00:17:34,390
+FT بتساوي… لأن نيجي نحسب ال I بتاعة الترس ال IE، إيش
+
+130
+00:17:34,390 --> 00:17:39,010
+بتساوي ME
+
+131
+00:17:39,010 --> 00:17:47,050
+× radius of gyration تربيعه، صح؟ هتساوي الـ
+
+132
+00:17:47,050 --> 00:17:49,710
+mass بتاعة الترس أربعة
+
+133
+00:17:53,420 --> 00:18:06,140
+× 0.085 تربيع. صفر
+
+134
+00:18:06,140 --> 00:18:12,660
+كيلو
+
+135
+00:18:12,660 --> 00:18:22,260
+جرام متر مربع. هتكون
+
+136
+00:18:22,260 --> 00:18:22,900
+سالب
+
+137
+00:18:29,360 --> 00:18:34,900
+أنا اللي بهمني القيمة. في الآخر، هتكون عندي ال IE
+
+138
+00:18:34,900 --> 00:18:45,760
+اللي هي 0.0289 × ألفا. زيادة ال IOB هتبقى
+
+139
+00:18:45,760 --> 00:18:51,500
+واحد على اثنا عشر
+
+140
+00:18:51,500 --> 00:18:52,900
+. واحد على اثنا عشر M OB × L Square. يعني هيكون واحد
+
+141
+00:18:56,110 --> 00:19:05,950
+على اثنا عشر × M OB ثلاثة × طولها 0.4 تربيع،
+
+142
+00:19:05,950 --> 00:19:17,370
+يعني هيكون واحد على اثنا عشر × M OB ثلاثة × طولها 0.4 تربيع،
+
+143
+00:19:17,370 --> 00:19:21,810
+يعني
+
+144
+00:19:21,810 --> 00:19:24,470
+هيكون 0.4
+
+145
+00:19:26,470 --> 00:19:31,410
+. 0.4
+
+146
+00:19:31,410 --> 00:19:38,870
+kilogram متر مربع زائد
+
+147
+00:19:38,870 --> 00:19:47,710
+0.4 × ألفا زائد
+
+148
+00:19:47,710 --> 00:19:53,450
+ثلاثة ×
+
+149
+00:19:53,450 --> 00:20:05,200
+ثنين من عشرة × ألف × اثنين من العشرة. مظبوط. والالفا
+
+150
+00:20:05,200 --> 00:20:14,860
+احنا عارفينها، اللي هي أربعين. يعني هتكون ال FT، يعني
+
+151
+00:20:14,860 --> 00:20:22,360
+هقسم على… هتكون 0.0289 زائد
+
+152
+00:20:22,360 --> 00:20:24,800
+0.4
+
+153
+00:20:26,370 --> 00:20:30,910
+زائد 0.
+
+154
+00:20:30,910 --> 00:20:40,430
+12. مظبوط. صح؟
+
+155
+00:20:40,430 --> 00:20:47,030
+× ألفا اللي هي أربعين، على
+
+156
+00:21:01,390 --> 00:21:09,450
+الكم هذا طلع؟ صفر؟
+
+157
+00:21:09,450 --> 00:21:22,610
+نيوتن؟
+
+158
+00:21:28,810 --> 00:21:34,770
+طيب، الأربعين ضربت الأربعين، 62.
+
+159
+00:21:34,770 --> 00:21:44,610
+96 نيوتن.
+
+160
+00:21:44,610 --> 00:21:53,430
+middle
+
+161
+00:21:53,430 --> 00:21:57,470
+components of reaction at O.
+
+162
+00:21:59,720 --> 00:22:09,880
+يعني أخذ summation of forces باتجاه ال Y. summation
+
+163
+00:22:09,880 --> 00:22:16,580
+لل forces باتجاه ال Y بيساوي
+
+164
+00:22:16,580 --> 00:22:17,580
+M AY
+
+165
+00:22:24,240 --> 00:22:34,080
+هيكون عندي minus MEG زائد
+
+166
+00:22:34,080 --> 00:22:39,700
+Ry minus
+
+167
+00:22:39,700 --> 00:22:45,960
+OBG
+
+168
+00:22:45,960 --> 00:22:46,880
+minus FT
+
+169
+00:22:57,320 --> 00:23:17,720
+بتساوي M AOB… AOB Normal. و ال A… الـ
+
+170
+00:23:17,720 --> 00:23:30,780
+AOB Normal = Omega Square × ثنين من عشرة. صح؟ الـ
+
+171
+00:23:30,780 --> 00:23:47,960
+omega كم؟ ثمانية تربيع × ثنين من عشرة، يعني
+
+172
+00:23:47,960 --> 00:23:50,760
+هيكون عندي ال RY
+
+173
+00:23:53,560 --> 00:24:01,000
+بتساوي ال ME، اللي هي أربعة × 12.8
+
+174
+00:24:01,000 --> 00:24:04,720
+ستة زائد ثلاثة
+
+175
+00:24:07,300 --> 00:24:15,380
+× 9.806 زائد ال FT × اثنين
+
+176
+00:24:15,380 --> 00:24:25,120
+ستين. 9.96 زائد ثلاثة × 12.8
+
+177
+00:24:25,120 --> 00:24:25,760
+ثمانية.
+
+178
+00:24:30,420 --> 00:24:36,220
+طبعاً، راجعوا الاتجاهات. تأكدوا الاتجاهات صح؟ إذا في
+
+179
+00:24:36,220 --> 00:24:49,180
+خطأ، عدّلوه. نيوتن.
+
+180
+00:24:49,180 --> 00:24:57,080
+الـ
+
+181
+00:24:57,080 --> 00:24:58,120
+RY. طبعاً ال RX
+
+182
+00:25:01,720 --> 00:25:06,120
+المفروض تكونوا عارفين ال F normal، وإن في علاقة بين
+
+183
+00:25:06,120 --> 00:25:11,220
+ال FT و ال F normal. بتكونوا عارفين يعني في ما يسمى
+
+184
+00:25:11,220 --> 00:25:18,540
+ال pressure angle. تخص
+
+185
+00:25:18,540 --> 00:25:25,500
+ماشية باتجاه ال X، وأنت بتحس بال RX، وفي علاقة بين
+
+186
+00:25:25,500 --> 00:25:31,540
+ال F normal و ال F tangential، من اللي هي الـ
+
+187
+00:25:31,540 --> 00:25:36,580
+geometric characteristic بتاعة ال gear. يعني بربط
+
+188
+00:25:36,580 --> 00:25:39,860
+ال FT و ال F normal. ال pressure angle بتاعة الـ
+
+189
+00:25:39,860 --> 00:25:47,660
+gear. هتكون ال F normal = F tangential × tan
+
+190
+00:25:47,660 --> 00:25:53,260
+(pressure angle). يستخدم ال pressure angle هذا
+
+191
+00:25:53,260 --> 00:25:56,320
+عادة بتكون عشرين درجة.
+
+192
+00:26:04
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/pRBRe9mL1TU_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/pRBRe9mL1TU_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..09dbc5ea607ffafc9fb5004aded706b940a6f69b
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/pRBRe9mL1TU_postprocess.srt
@@ -0,0 +1,768 @@
+1
+00:00:05,150 --> 00:00:07,870
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,870 --> 00:00:11,590
+وبركاته هنرجع لمادته الديناميكا ال كيناتيكس of
+
+3
+00:00:11,590 --> 00:00:14,870
+rigid bodies المحاضرة الفاتحة حكينا عن ال
+
+4
+00:00:14,870 --> 00:00:21,330
+constraint plan motion حلينا example اليوم هنكمل
+
+5
+00:00:21,330 --> 00:00:24,190
+في ال constraint motion هنحكي عن non centroidal
+
+6
+00:00:24,190 --> 00:00:27,870
+rotation non centroidal rotation يعني الدوران
+
+7
+00:00:27,870 --> 00:00:32,310
+بيكون حوالي النقطةليس مركز استقل هذا بيعنى non
+
+8
+00:00:32,310 --> 00:00:35,230
+centroidal rotation زي ما احنا شايفين في الحالة
+
+9
+00:00:35,230 --> 00:00:41,590
+هذه في عندي rigid body هاي مركز استقل و G بدور
+
+10
+00:00:41,590 --> 00:00:48,810
+حوالي نقطة O لان نتيجة دورنا حوالي نقطة O بيكون
+
+11
+00:00:48,810 --> 00:00:52,790
+لمركز استقل في دور component of acceleration اللي
+
+12
+00:00:52,790 --> 00:00:59,050
+هي R في Omega Square وفي عندي تنجين shellcomponent
+
+13
+00:00:59,050 --> 00:01:09,270
+الى R R في Alpha هذه أساسي النقطة G فبكون
+
+14
+00:01:09,270 --> 00:01:16,110
+في علاقة بين ال .. يعني لما أنه pure rotation بقدر
+
+15
+00:01:16,110 --> 00:01:20,210
+أجي ال acceleration لمركز ثقل اللى هتكون لها two
+
+16
+00:01:20,210 --> 00:01:25,370
+components واحدة normal componentوحدة اياش
+
+17
+00:01:25,370 --> 00:01:33,370
+tangential component الان
+
+18
+00:01:33,370 --> 00:01:38,730
+لو بدى اعمل free body diagram والجسم هذا عليه
+
+19
+00:01:38,730 --> 00:01:43,050
+مجموعة من ال forces بتأثر F1, F2, F3 وفيه طبعا
+
+20
+00:01:43,050 --> 00:01:49,570
+نقطة الدوران وفيه رد الفعل RX وRY
+
+21
+00:01:49,570 --> 00:01:56,160
+نتيجة ال forces هذهبتطلع عندى ال motion اللى هو
+
+22
+00:01:56,160 --> 00:02:02,860
+عندى M a tangential و M a normal و في I alpha
+
+23
+00:02:02,860 --> 00:02:09,880
+حوالين ايهاش المركز الان لو أخدنا ال moment حوالين
+
+24
+00:02:09,880 --> 00:02:16,420
+Oهتروح ال Rx و ال Ry و ال F1 و ال F2 و ال F3 بتعمل
+
+25
+00:02:16,420 --> 00:02:20,880
+moment حوالين من ال O مظبوط لما تجي تعمل moment
+
+26
+00:02:20,880 --> 00:02:27,440
+حوالين O على الجهة التانية هتكون عند I Alpha ال M
+
+27
+00:02:27,440 --> 00:02:33,380
+إيه اللي بتعمل moment؟ لأ يعني هتكون عند I Alpha
+
+28
+00:02:33,380 --> 00:02:42,200
+زاد M Atangential طيب ال Atangentialطبعا هكون I α
+
+29
+00:02:42,200 --> 00:02:47,680
+ز م A tangential في R طيب تذكروا ال A tangential
+
+30
+00:02:47,680 --> 00:02:52,540
+ايه شو ساوي Alpha في R احنا عندنا M A tangential
+
+31
+00:02:52,540 --> 00:02:59,700
+في R يعني هكون Alpha R تربيع في M يعني هكون ال
+
+32
+00:02:59,700 --> 00:03:06,320
+moment هيكون حوالين O moment حوالين O
+
+33
+00:03:10,470 --> 00:03:18,310
+هي ممكن للفرصة اللي هي F1 F2 F3 هتكون I Alpha زاد
+
+34
+00:03:18,310 --> 00:03:29,430
+M A Tangential في R هتكون I Alpha زاد M A
+
+35
+00:03:29,430 --> 00:03:37,080
+Tangential الفة R في Rيعني هاخد ألفة عام مشتره
+
+36
+00:03:37,080 --> 00:03:46,620
+هكون عندي I ألفة في I زمر تربيع هذه ال parallax
+
+37
+00:03:46,620 --> 00:03:54,340
+theorem هذه يعني I زمر square هي ألفة في I حوالين
+
+38
+00:03:54,340 --> 00:03:59,100
+O الموت
+
+39
+00:03:59,100 --> 00:04:02,480
+في النرش حوالين O بتسوي الموت في النرش حوالين مركز
+
+40
+00:04:02,480 --> 00:04:08,640
+ثقلزائد الكتلة بتاعة الجسم في المسافة بين النقطة O
+
+41
+00:04:08,640 --> 00:04:13,440
+ومركز استقل معناته مباشرة ممكن احكي على طول
+
+42
+00:04:13,440 --> 00:04:19,360
+summation of حوالين ال O بالساوية الفة في ال I O
+
+43
+00:04:19,360 --> 00:04:25,460
+وال I O اللي هي بالساوية ال I حوالي مركز استقل
+
+44
+00:04:25,460 --> 00:04:28,620
+اللي هي زائد MR square
+
+45
+00:04:38,420 --> 00:04:44,300
+نشوف مثال portion
+
+46
+00:04:44,300 --> 00:04:53,060
+A or B of the mechanism is actuated by gear D عندي
+
+47
+00:04:53,060 --> 00:05:03,000
+اللي هو الادراع ملحوم مع الترس هذا بدور معاه ال
+
+48
+00:05:03,000 --> 00:05:10,900
+input جاي من عنديلما بدور دي بدور الترث يا دا معاه
+
+49
+00:05:10,900 --> 00:05:14,220
+and the institution has a clockwise angular
+
+50
+00:05:14,220 --> 00:05:20,500
+velocity of eight eight radian per second يعني
+
+51
+00:05:20,500 --> 00:05:26,140
+خلّخص المثال عند
+
+52
+00:05:26,140 --> 00:05:31,500
+اللي
+
+53
+00:05:31,500 --> 00:05:35,620
+هي omega لدي omega دي
+
+54
+00:05:40,060 --> 00:05:46,000
+بتساوي تمانية radian per second clockwise تمانية
+
+55
+00:05:46,000 --> 00:05:54,300
+radian per second clockwise and
+
+56
+00:05:54,300 --> 00:05:58,340
+a counter clockwise angle acceleration و alpha دي
+
+57
+00:05:58,340 --> 00:06:08,660
+بتساوي اربعين radian per second square بعكس عقارب
+
+58
+00:06:08,660 --> 00:06:09,040
+الساعة
+
+59
+00:06:12,160 --> 00:06:23,020
+ومعطيني ال mass لل .. لل gear E اللي
+
+60
+00:06:23,020 --> 00:06:29,580
+هي أربعة كيلو جرام ومعطيني
+
+61
+00:06:29,580 --> 00:06:36,340
+ال resgiration لل gear KE بتساوي خمس تونين ميلي
+
+62
+00:06:40,480 --> 00:06:46,820
+ومعطيني الماس للرد OB اللي
+
+63
+00:06:46,820 --> 00:06:56,220
+هي تلاتة كيلو جرام بدو
+
+64
+00:06:56,220 --> 00:07:01,500
+قيمة ال tangential force exerted by gear D on gear
+
+65
+00:07:01,500 --> 00:07:01,920
+E
+
+66
+00:07:10,950 --> 00:07:17,030
+طيب الان هو ال gear دي انا عندي جايه
+
+67
+00:07:17,030 --> 00:07:21,790
+يعني ال gear دي صح؟
+
+68
+00:07:21,790 --> 00:07:31,210
+ال gear دي بدور باتجاه عقار بالسيعة معناته
+
+69
+00:07:31,210 --> 00:07:37,990
+ده حد .. ده حد و مافيهاش؟ بعكس عقار بالسيعة معناته
+
+70
+00:07:37,990 --> 00:07:44,600
+ال gear ديهيعمل لي force هو المدور فبتغطي عليه زي
+
+71
+00:07:44,600 --> 00:07:55,420
+هيك فتكون لدي force عند ف
+
+72
+00:07:55,420 --> 00:08:00,260
+tangential او في خلينا نحكي f normal
+
+73
+00:08:09,470 --> 00:08:15,390
+هذه ايش ال forces اللي جاء من الترس دي على الترس
+
+74
+00:08:15,390 --> 00:08:15,830
+ايه؟
+
+75
+00:08:54,130 --> 00:09:09,190
+على الترس على
+
+76
+00:09:09,190 --> 00:09:21,590
+الترس
+
+77
+00:09:21,590 --> 00:09:32,210
+ايه؟هذا النقطة O هذا النقطة B فيه بؤثر كمان وزن
+
+78
+00:09:32,210 --> 00:09:36,050
+اللي
+
+79
+00:09:36,050 --> 00:09:47,930
+هي M OB في G وزن الرد فيه كمان اللي
+
+80
+00:09:47,930 --> 00:10:03,410
+هووزن الترس مي في جي في reaction في
+
+81
+00:10:03,410 --> 00:10:10,270
+reaction من هنا بدي
+
+82
+00:10:10,270 --> 00:10:14,690
+احكي ري وعندي
+
+83
+00:10:14,690 --> 00:10:18,610
+ركز
+
+84
+00:10:21,280 --> 00:10:25,880
+Ry وRx هذه
+
+85
+00:10:25,880 --> 00:10:27,000
+كل ال force اللي بتأثر
+
+86
+00:11:36,450 --> 00:11:44,510
+هنا تيجي ال forces هيكون في عندي لترس قاعدة طبعا
+
+87
+00:11:44,510 --> 00:11:47,750
+الترس مركز ثقل جاهز في المصر مافيش acceleration
+
+88
+00:11:47,750 --> 00:11:53,630
+لمركز ثقل بس فيه لواش I Alpha طبعا
+
+89
+00:11:53,630 --> 00:12:00,710
+ال .. ال alpha بتاعة ال .. الترس دي عكس عقار
+
+90
+00:12:00,710 --> 00:12:04,050
+السيارة معناه تو هي ده إيش باتجاه عقار السيارة
+
+91
+00:12:04,050 --> 00:12:05,150
+معناه تو عندي هنا I
+
+92
+00:12:07,830 --> 00:12:21,070
+I E ألفة ألفة مظبوط N عنده
+
+93
+00:12:21,070 --> 00:12:26,290
+هيكون عند M
+
+94
+00:12:26,290 --> 00:12:27,990
+O B
+
+95
+00:12:33,670 --> 00:12:41,830
+A O B tangential وإلهين
+
+96
+00:12:41,830 --> 00:12:59,050
+M O B A O B normal لمركز
+
+97
+00:12:59,050 --> 00:13:03,210
+ثقة للرد طيب
+
+98
+00:13:14,690 --> 00:13:20,830
+يعني لحظة ترسين ايه و دي متساوين في القطر معناته
+
+99
+00:13:20,830 --> 00:13:25,150
+هكون مش هكون تغير في السرعة أو ال extraction بس
+
+100
+00:13:25,150 --> 00:13:29,470
+هكون تغير في الاتجاه بس معناته ال omega دي و ال
+
+101
+00:13:29,470 --> 00:13:35,760
+alpha دي اللي يعني هكون عندى ال omegaE هتكون
+
+102
+00:13:35,760 --> 00:13:43,220
+تمانية radian per second عكس عقارب الساعة و Omega
+
+103
+00:13:43,220 --> 00:13:55,520
+او Alpha E اربعين radian per second square مع
+
+104
+00:13:55,520 --> 00:13:56,260
+عقارب الساعة
+
+105
+00:13:59,820 --> 00:14:05,620
+لو أخد ال summation للمoment حوالين O summation
+
+106
+00:14:05,620 --> 00:14:10,420
+للمoment
+
+107
+00:14:10,420 --> 00:14:17,180
+حوالين O هتكون
+
+108
+00:14:17,180 --> 00:14:27,500
+السوء MO effective طبعا
+
+109
+00:14:30,240 --> 00:14:37,520
+عنا ال R X و ال R Y بيعملوش و ال M E G مابتعمل و
+
+110
+00:14:37,520 --> 00:14:41,900
+ال M O B G مابتعمل الوحيد اللي بيعمل هي F T هتكون
+
+111
+00:14:41,900 --> 00:14:49,640
+R F T بتساوي
+
+112
+00:14:49,640 --> 00:14:53,700
+I
+
+113
+00:15:00,650 --> 00:15:11,030
+بس خلينا نتأكد من الاتجاهات اه
+
+114
+00:15:11,030 --> 00:15:18,530
+الاتجاهات غلطان دي هين هذا هتكون العكس إذا الفرصة
+
+115
+00:15:18,530 --> 00:15:26,430
+تعمل زي هيك هتعكس
+
+116
+00:15:26,430 --> 00:15:30,630
+الاتجاهعلى حال اذا حطينا سالب تطلع لحالة الاشي صح
+
+117
+00:15:30,630 --> 00:15:42,070
+ال RFT ال M effective هيكون minus IE
+
+118
+00:15:42,070 --> 00:15:54,590
+Alpha ال M .. اه طبعا في هندي هنا كمان AFJ هندي
+
+119
+00:15:54,590 --> 00:16:07,140
+كمان هندي IO B Alpha minus
+
+120
+00:16:07,140 --> 00:16:20,580
+I O B Alpha ال M O B O A B Normal تعمل إيه شوشيه
+
+121
+00:16:20,580 --> 00:16:22,480
+minus
+
+122
+00:16:26,450 --> 00:16:36,510
+م mob a
+
+123
+00:16:36,510 --> 00:16:39,570
+ob
+
+124
+00:16:39,570 --> 00:16:51,730
+tangential نعم فيه متين اتنين من عشرة طيب
+
+125
+00:16:53,870 --> 00:17:03,510
+ال a ob tangential قيمتها بالساوي اللي هي اتنين من
+
+126
+00:17:03,510 --> 00:17:14,810
+عشرة في الف صح ال
+
+127
+00:17:14,810 --> 00:17:20,930
+R عندي اللي هي مية و عشرين صح يعني اندي point واحد
+
+128
+00:17:20,930 --> 00:17:21,350
+اتنين
+
+129
+00:17:25,570 --> 00:17:34,390
+FT بتساوي لأن نيجي نحسب ال I بتاعة الترس ال IE ايش
+
+130
+00:17:34,390 --> 00:17:39,010
+بتساوي ME
+
+131
+00:17:39,010 --> 00:17:47,050
+في ال ratio of generation تربيعه صح؟ هتساوي ال
+
+132
+00:17:47,050 --> 00:17:49,710
+mass بتاعة الترس اربعة
+
+133
+00:17:53,420 --> 00:18:06,140
+في point zero تمانية خمسة تربيع سفر
+
+134
+00:18:06,140 --> 00:18:12,660
+كيلو
+
+135
+00:18:12,660 --> 00:18:22,260
+جرام متر منطبع هتكون
+
+136
+00:18:22,260 --> 00:18:22,900
+سالب
+
+137
+00:18:29,360 --> 00:18:34,900
+انا اللى بيهبنى القيمة في الآخر هتكون عندى ال IE
+
+138
+00:18:34,900 --> 00:18:45,760
+اللى هى سفر و هون سفر اتنين تمانية تسعة في ألفة
+
+139
+00:18:45,760 --> 00:18:51,500
+زيادة ال IOV هتبساوى
+
+140
+00:18:51,500 --> 00:18:52,900
+واحد على اتناش
+
+141
+00:18:56,110 --> 00:19:05,950
+سو احد على اتناش M O B في L Square يعني هكون واحد
+
+142
+00:19:05,950 --> 00:19:17,370
+على اتناش في ال M O B تلاتة طوله point اربعة تربيع
+
+143
+00:19:17,370 --> 00:19:21,810
+يعني
+
+144
+00:19:21,810 --> 00:19:24,470
+هيكون اربعمية
+
+145
+00:19:26,470 --> 00:19:31,410
+point O أربعة
+
+146
+00:19:31,410 --> 00:19:38,870
+kilogram متر مربع زائد
+
+147
+00:19:38,870 --> 00:19:47,710
+point O أربعة في ألفة زائد
+
+148
+00:19:47,710 --> 00:19:53,450
+تلاتة في
+
+149
+00:19:53,450 --> 00:20:05,200
+اتنين من عشرةالفة في اتنين من العشرة مظبوط والالفة
+
+150
+00:20:05,200 --> 00:20:14,860
+احنا عارفينها اللي هي اربعين يعني هتكون ال FT يعني
+
+151
+00:20:14,860 --> 00:20:22,360
+هقسم على هتكون point zero اتنين تمانية تسعة زائد
+
+152
+00:20:22,360 --> 00:20:24,800
+point O اربع
+
+153
+00:20:26,370 --> 00:20:30,910
+زائد point
+
+154
+00:20:30,910 --> 00:20:40,430
+واحد اتنين مظبوط صح
+
+155
+00:20:40,430 --> 00:20:47,030
+في alpha اللي هي اربعين على
+
+156
+00:21:01,390 --> 00:21:09,450
+الكام ده طلع؟ سفر؟
+
+157
+00:21:09,450 --> 00:21:22,610
+النيوتن؟
+
+158
+00:21:28,810 --> 00:21:34,770
+طيب الاربيض ضربت الاربيين 62
+
+159
+00:21:34,770 --> 00:21:44,610
+.96 نيوتن
+
+160
+00:21:44,610 --> 00:21:53,430
+middle
+
+161
+00:21:53,430 --> 00:21:57,470
+components of reaction at O
+
+162
+00:21:59,720 --> 00:22:09,880
+يعني أخد summation of forces باتجاه ال Y summation
+
+163
+00:22:09,880 --> 00:22:16,580
+لل forces باتجاه ال Y بسوء
+
+164
+00:22:16,580 --> 00:22:17,580
+M A Y
+
+165
+00:22:24,240 --> 00:22:34,080
+هيكون عندى minus meg زائد
+
+166
+00:22:34,080 --> 00:22:39,700
+ry minus
+
+167
+00:22:39,700 --> 00:22:45,960
+obg
+
+168
+00:22:45,960 --> 00:22:46,880
+minus ft
+
+169
+00:22:57,320 --> 00:23:17,720
+بتساوي M A B A A A B Normal و ال A ال
+
+170
+00:23:17,720 --> 00:23:30,780
+A A B Normal So Omega Squareفي اتنين من عشرة صح ال
+
+171
+00:23:30,780 --> 00:23:47,960
+omega كم تمانية تربيع في اتنين من عشرة يعني
+
+172
+00:23:47,960 --> 00:23:50,760
+هكون عندى ال RY
+
+173
+00:23:53,560 --> 00:24:01,000
+بتساوي ال م ايه اللي هي اربعة في تسعة bond تمانية
+
+174
+00:24:01,000 --> 00:24:04,720
+ستة زائد تلاتة
+
+175
+00:24:07,300 --> 00:24:15,380
+فى تسعة point تمانية سفر ستة زائد ال Ft فى اتنين
+
+176
+00:24:15,380 --> 00:24:25,120
+ستين point تسعة ستة زائد تلاتة فى اتناش point
+
+177
+00:24:25,120 --> 00:24:25,760
+تمانية
+
+178
+00:24:30,420 --> 00:24:36,220
+طبعا راجعوا الاتجاهات اتاكدوا الاتجاهات صح؟ اذا في
+
+179
+00:24:36,220 --> 00:24:49,180
+خطأ عدله نيوتن
+
+180
+00:24:49,180 --> 00:24:57,080
+ال
+
+181
+00:24:57,080 --> 00:24:58,120
+RY طبعا ال RX
+
+182
+00:25:01,720 --> 00:25:06,120
+المفروض تكون عارفين ال F normal وان في علاقة بين
+
+183
+00:25:06,120 --> 00:25:11,220
+ال F T و ال F normal بتكون عارفين يعني في ما يسمى
+
+184
+00:25:11,220 --> 00:25:18,540
+ال pressure angle تخص
+
+185
+00:25:18,540 --> 00:25:25,500
+ماشية اتجاه ال X و انت بتحس بال R X و في علاقة بين
+
+186
+00:25:25,500 --> 00:25:31,540
+ال F normal و ال F tangential من اللي هيالـ
+
+187
+00:25:31,540 --> 00:25:36,580
+geometric characteristic بتاعة ال gear يعني بربط
+
+188
+00:25:36,580 --> 00:25:39,860
+ال F دي و ال F normal ال pressure angle بتاعة ال
+
+189
+00:25:39,860 --> 00:25:47,660
+gear هتكون ال F normal ف
+
+190
+00:25:47,660 --> 00:25:53,260
+F tangential tan و يستخدم ال pressure angle هاد
+
+191
+00:25:53,260 --> 00:25:56,320
+عادة بتكون عشرين درجة
+
+192
+00:26:04,010 --> 00:26:08,970
+طب في اي سؤال؟ هيك و نخلص اليوم، تاكلوا العافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/pRBRe9mL1TU_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/pRBRe9mL1TU_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..09dbc5ea607ffafc9fb5004aded706b940a6f69b
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/pRBRe9mL1TU_raw.srt
@@ -0,0 +1,768 @@
+1
+00:00:05,150 --> 00:00:07,870
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,870 --> 00:00:11,590
+وبركاته هنرجع لمادته الديناميكا ال كيناتيكس of
+
+3
+00:00:11,590 --> 00:00:14,870
+rigid bodies المحاضرة الفاتحة حكينا عن ال
+
+4
+00:00:14,870 --> 00:00:21,330
+constraint plan motion حلينا example اليوم هنكمل
+
+5
+00:00:21,330 --> 00:00:24,190
+في ال constraint motion هنحكي عن non centroidal
+
+6
+00:00:24,190 --> 00:00:27,870
+rotation non centroidal rotation يعني الدوران
+
+7
+00:00:27,870 --> 00:00:32,310
+بيكون حوالي النقطةليس مركز استقل هذا بيعنى non
+
+8
+00:00:32,310 --> 00:00:35,230
+centroidal rotation زي ما احنا شايفين في الحالة
+
+9
+00:00:35,230 --> 00:00:41,590
+هذه في عندي rigid body هاي مركز استقل و G بدور
+
+10
+00:00:41,590 --> 00:00:48,810
+حوالي نقطة O لان نتيجة دورنا حوالي نقطة O بيكون
+
+11
+00:00:48,810 --> 00:00:52,790
+لمركز استقل في دور component of acceleration اللي
+
+12
+00:00:52,790 --> 00:00:59,050
+هي R في Omega Square وفي عندي تنجين shellcomponent
+
+13
+00:00:59,050 --> 00:01:09,270
+الى R R في Alpha هذه أساسي النقطة G فبكون
+
+14
+00:01:09,270 --> 00:01:16,110
+في علاقة بين ال .. يعني لما أنه pure rotation بقدر
+
+15
+00:01:16,110 --> 00:01:20,210
+أجي ال acceleration لمركز ثقل اللى هتكون لها two
+
+16
+00:01:20,210 --> 00:01:25,370
+components واحدة normal componentوحدة اياش
+
+17
+00:01:25,370 --> 00:01:33,370
+tangential component الان
+
+18
+00:01:33,370 --> 00:01:38,730
+لو بدى اعمل free body diagram والجسم هذا عليه
+
+19
+00:01:38,730 --> 00:01:43,050
+مجموعة من ال forces بتأثر F1, F2, F3 وفيه طبعا
+
+20
+00:01:43,050 --> 00:01:49,570
+نقطة الدوران وفيه رد الفعل RX وRY
+
+21
+00:01:49,570 --> 00:01:56,160
+نتيجة ال forces هذهبتطلع عندى ال motion اللى هو
+
+22
+00:01:56,160 --> 00:02:02,860
+عندى M a tangential و M a normal و في I alpha
+
+23
+00:02:02,860 --> 00:02:09,880
+حوالين ايهاش المركز الان لو أخدنا ال moment حوالين
+
+24
+00:02:09,880 --> 00:02:16,420
+Oهتروح ال Rx و ال Ry و ال F1 و ال F2 و ال F3 بتعمل
+
+25
+00:02:16,420 --> 00:02:20,880
+moment حوالين من ال O مظبوط لما تجي تعمل moment
+
+26
+00:02:20,880 --> 00:02:27,440
+حوالين O على الجهة التانية هتكون عند I Alpha ال M
+
+27
+00:02:27,440 --> 00:02:33,380
+إيه اللي بتعمل moment؟ لأ يعني هتكون عند I Alpha
+
+28
+00:02:33,380 --> 00:02:42,200
+زاد M Atangential طيب ال Atangentialطبعا هكون I α
+
+29
+00:02:42,200 --> 00:02:47,680
+ز م A tangential في R طيب تذكروا ال A tangential
+
+30
+00:02:47,680 --> 00:02:52,540
+ايه شو ساوي Alpha في R احنا عندنا M A tangential
+
+31
+00:02:52,540 --> 00:02:59,700
+في R يعني هكون Alpha R تربيع في M يعني هكون ال
+
+32
+00:02:59,700 --> 00:03:06,320
+moment هيكون حوالين O moment حوالين O
+
+33
+00:03:10,470 --> 00:03:18,310
+هي ممكن للفرصة اللي هي F1 F2 F3 هتكون I Alpha زاد
+
+34
+00:03:18,310 --> 00:03:29,430
+M A Tangential في R هتكون I Alpha زاد M A
+
+35
+00:03:29,430 --> 00:03:37,080
+Tangential الفة R في Rيعني هاخد ألفة عام مشتره
+
+36
+00:03:37,080 --> 00:03:46,620
+هكون عندي I ألفة في I زمر تربيع هذه ال parallax
+
+37
+00:03:46,620 --> 00:03:54,340
+theorem هذه يعني I زمر square هي ألفة في I حوالين
+
+38
+00:03:54,340 --> 00:03:59,100
+O الموت
+
+39
+00:03:59,100 --> 00:04:02,480
+في النرش حوالين O بتسوي الموت في النرش حوالين مركز
+
+40
+00:04:02,480 --> 00:04:08,640
+ثقلزائد الكتلة بتاعة الجسم في المسافة بين النقطة O
+
+41
+00:04:08,640 --> 00:04:13,440
+ومركز استقل معناته مباشرة ممكن احكي على طول
+
+42
+00:04:13,440 --> 00:04:19,360
+summation of حوالين ال O بالساوية الفة في ال I O
+
+43
+00:04:19,360 --> 00:04:25,460
+وال I O اللي هي بالساوية ال I حوالي مركز استقل
+
+44
+00:04:25,460 --> 00:04:28,620
+اللي هي زائد MR square
+
+45
+00:04:38,420 --> 00:04:44,300
+نشوف مثال portion
+
+46
+00:04:44,300 --> 00:04:53,060
+A or B of the mechanism is actuated by gear D عندي
+
+47
+00:04:53,060 --> 00:05:03,000
+اللي هو الادراع ملحوم مع الترس هذا بدور معاه ال
+
+48
+00:05:03,000 --> 00:05:10,900
+input جاي من عنديلما بدور دي بدور الترث يا دا معاه
+
+49
+00:05:10,900 --> 00:05:14,220
+and the institution has a clockwise angular
+
+50
+00:05:14,220 --> 00:05:20,500
+velocity of eight eight radian per second يعني
+
+51
+00:05:20,500 --> 00:05:26,140
+خلّخص المثال عند
+
+52
+00:05:26,140 --> 00:05:31,500
+اللي
+
+53
+00:05:31,500 --> 00:05:35,620
+هي omega لدي omega دي
+
+54
+00:05:40,060 --> 00:05:46,000
+بتساوي تمانية radian per second clockwise تمانية
+
+55
+00:05:46,000 --> 00:05:54,300
+radian per second clockwise and
+
+56
+00:05:54,300 --> 00:05:58,340
+a counter clockwise angle acceleration و alpha دي
+
+57
+00:05:58,340 --> 00:06:08,660
+بتساوي اربعين radian per second square بعكس عقارب
+
+58
+00:06:08,660 --> 00:06:09,040
+الساعة
+
+59
+00:06:12,160 --> 00:06:23,020
+ومعطيني ال mass لل .. لل gear E اللي
+
+60
+00:06:23,020 --> 00:06:29,580
+هي أربعة كيلو جرام ومعطيني
+
+61
+00:06:29,580 --> 00:06:36,340
+ال resgiration لل gear KE بتساوي خمس تونين ميلي
+
+62
+00:06:40,480 --> 00:06:46,820
+ومعطيني الماس للرد OB اللي
+
+63
+00:06:46,820 --> 00:06:56,220
+هي تلاتة كيلو جرام بدو
+
+64
+00:06:56,220 --> 00:07:01,500
+قيمة ال tangential force exerted by gear D on gear
+
+65
+00:07:01,500 --> 00:07:01,920
+E
+
+66
+00:07:10,950 --> 00:07:17,030
+طيب الان هو ال gear دي انا عندي جايه
+
+67
+00:07:17,030 --> 00:07:21,790
+يعني ال gear دي صح؟
+
+68
+00:07:21,790 --> 00:07:31,210
+ال gear دي بدور باتجاه عقار بالسيعة معناته
+
+69
+00:07:31,210 --> 00:07:37,990
+ده حد .. ده حد و مافيهاش؟ بعكس عقار بالسيعة معناته
+
+70
+00:07:37,990 --> 00:07:44,600
+ال gear ديهيعمل لي force هو المدور فبتغطي عليه زي
+
+71
+00:07:44,600 --> 00:07:55,420
+هيك فتكون لدي force عند ف
+
+72
+00:07:55,420 --> 00:08:00,260
+tangential او في خلينا نحكي f normal
+
+73
+00:08:09,470 --> 00:08:15,390
+هذه ايش ال forces اللي جاء من الترس دي على الترس
+
+74
+00:08:15,390 --> 00:08:15,830
+ايه؟
+
+75
+00:08:54,130 --> 00:09:09,190
+على الترس على
+
+76
+00:09:09,190 --> 00:09:21,590
+الترس
+
+77
+00:09:21,590 --> 00:09:32,210
+ايه؟هذا النقطة O هذا النقطة B فيه بؤثر كمان وزن
+
+78
+00:09:32,210 --> 00:09:36,050
+اللي
+
+79
+00:09:36,050 --> 00:09:47,930
+هي M OB في G وزن الرد فيه كمان اللي
+
+80
+00:09:47,930 --> 00:10:03,410
+هووزن الترس مي في جي في reaction في
+
+81
+00:10:03,410 --> 00:10:10,270
+reaction من هنا بدي
+
+82
+00:10:10,270 --> 00:10:14,690
+احكي ري وعندي
+
+83
+00:10:14,690 --> 00:10:18,610
+ركز
+
+84
+00:10:21,280 --> 00:10:25,880
+Ry وRx هذه
+
+85
+00:10:25,880 --> 00:10:27,000
+كل ال force اللي بتأثر
+
+86
+00:11:36,450 --> 00:11:44,510
+هنا تيجي ال forces هيكون في عندي لترس قاعدة طبعا
+
+87
+00:11:44,510 --> 00:11:47,750
+الترس مركز ثقل جاهز في المصر مافيش acceleration
+
+88
+00:11:47,750 --> 00:11:53,630
+لمركز ثقل بس فيه لواش I Alpha طبعا
+
+89
+00:11:53,630 --> 00:12:00,710
+ال .. ال alpha بتاعة ال .. الترس دي عكس عقار
+
+90
+00:12:00,710 --> 00:12:04,050
+السيارة معناه تو هي ده إيش باتجاه عقار السيارة
+
+91
+00:12:04,050 --> 00:12:05,150
+معناه تو عندي هنا I
+
+92
+00:12:07,830 --> 00:12:21,070
+I E ألفة ألفة مظبوط N عنده
+
+93
+00:12:21,070 --> 00:12:26,290
+هيكون عند M
+
+94
+00:12:26,290 --> 00:12:27,990
+O B
+
+95
+00:12:33,670 --> 00:12:41,830
+A O B tangential وإلهين
+
+96
+00:12:41,830 --> 00:12:59,050
+M O B A O B normal لمركز
+
+97
+00:12:59,050 --> 00:13:03,210
+ثقة للرد طيب
+
+98
+00:13:14,690 --> 00:13:20,830
+يعني لحظة ترسين ايه و دي متساوين في القطر معناته
+
+99
+00:13:20,830 --> 00:13:25,150
+هكون مش هكون تغير في السرعة أو ال extraction بس
+
+100
+00:13:25,150 --> 00:13:29,470
+هكون تغير في الاتجاه بس معناته ال omega دي و ال
+
+101
+00:13:29,470 --> 00:13:35,760
+alpha دي اللي يعني هكون عندى ال omegaE هتكون
+
+102
+00:13:35,760 --> 00:13:43,220
+تمانية radian per second عكس عقارب الساعة و Omega
+
+103
+00:13:43,220 --> 00:13:55,520
+او Alpha E اربعين radian per second square مع
+
+104
+00:13:55,520 --> 00:13:56,260
+عقارب الساعة
+
+105
+00:13:59,820 --> 00:14:05,620
+لو أخد ال summation للمoment حوالين O summation
+
+106
+00:14:05,620 --> 00:14:10,420
+للمoment
+
+107
+00:14:10,420 --> 00:14:17,180
+حوالين O هتكون
+
+108
+00:14:17,180 --> 00:14:27,500
+السوء MO effective طبعا
+
+109
+00:14:30,240 --> 00:14:37,520
+عنا ال R X و ال R Y بيعملوش و ال M E G مابتعمل و
+
+110
+00:14:37,520 --> 00:14:41,900
+ال M O B G مابتعمل الوحيد اللي بيعمل هي F T هتكون
+
+111
+00:14:41,900 --> 00:14:49,640
+R F T بتساوي
+
+112
+00:14:49,640 --> 00:14:53,700
+I
+
+113
+00:15:00,650 --> 00:15:11,030
+بس خلينا نتأكد من الاتجاهات اه
+
+114
+00:15:11,030 --> 00:15:18,530
+الاتجاهات غلطان دي هين هذا هتكون العكس إذا الفرصة
+
+115
+00:15:18,530 --> 00:15:26,430
+تعمل زي هيك هتعكس
+
+116
+00:15:26,430 --> 00:15:30,630
+الاتجاهعلى حال اذا حطينا سالب تطلع لحالة الاشي صح
+
+117
+00:15:30,630 --> 00:15:42,070
+ال RFT ال M effective هيكون minus IE
+
+118
+00:15:42,070 --> 00:15:54,590
+Alpha ال M .. اه طبعا في هندي هنا كمان AFJ هندي
+
+119
+00:15:54,590 --> 00:16:07,140
+كمان هندي IO B Alpha minus
+
+120
+00:16:07,140 --> 00:16:20,580
+I O B Alpha ال M O B O A B Normal تعمل إيه شوشيه
+
+121
+00:16:20,580 --> 00:16:22,480
+minus
+
+122
+00:16:26,450 --> 00:16:36,510
+م mob a
+
+123
+00:16:36,510 --> 00:16:39,570
+ob
+
+124
+00:16:39,570 --> 00:16:51,730
+tangential نعم فيه متين اتنين من عشرة طيب
+
+125
+00:16:53,870 --> 00:17:03,510
+ال a ob tangential قيمتها بالساوي اللي هي اتنين من
+
+126
+00:17:03,510 --> 00:17:14,810
+عشرة في الف صح ال
+
+127
+00:17:14,810 --> 00:17:20,930
+R عندي اللي هي مية و عشرين صح يعني اندي point واحد
+
+128
+00:17:20,930 --> 00:17:21,350
+اتنين
+
+129
+00:17:25,570 --> 00:17:34,390
+FT بتساوي لأن نيجي نحسب ال I بتاعة الترس ال IE ايش
+
+130
+00:17:34,390 --> 00:17:39,010
+بتساوي ME
+
+131
+00:17:39,010 --> 00:17:47,050
+في ال ratio of generation تربيعه صح؟ هتساوي ال
+
+132
+00:17:47,050 --> 00:17:49,710
+mass بتاعة الترس اربعة
+
+133
+00:17:53,420 --> 00:18:06,140
+في point zero تمانية خمسة تربيع سفر
+
+134
+00:18:06,140 --> 00:18:12,660
+كيلو
+
+135
+00:18:12,660 --> 00:18:22,260
+جرام متر منطبع هتكون
+
+136
+00:18:22,260 --> 00:18:22,900
+سالب
+
+137
+00:18:29,360 --> 00:18:34,900
+انا اللى بيهبنى القيمة في الآخر هتكون عندى ال IE
+
+138
+00:18:34,900 --> 00:18:45,760
+اللى هى سفر و هون سفر اتنين تمانية تسعة في ألفة
+
+139
+00:18:45,760 --> 00:18:51,500
+زيادة ال IOV هتبساوى
+
+140
+00:18:51,500 --> 00:18:52,900
+واحد على اتناش
+
+141
+00:18:56,110 --> 00:19:05,950
+سو احد على اتناش M O B في L Square يعني هكون واحد
+
+142
+00:19:05,950 --> 00:19:17,370
+على اتناش في ال M O B تلاتة طوله point اربعة تربيع
+
+143
+00:19:17,370 --> 00:19:21,810
+يعني
+
+144
+00:19:21,810 --> 00:19:24,470
+هيكون اربعمية
+
+145
+00:19:26,470 --> 00:19:31,410
+point O أربعة
+
+146
+00:19:31,410 --> 00:19:38,870
+kilogram متر مربع زائد
+
+147
+00:19:38,870 --> 00:19:47,710
+point O أربعة في ألفة زائد
+
+148
+00:19:47,710 --> 00:19:53,450
+تلاتة في
+
+149
+00:19:53,450 --> 00:20:05,200
+اتنين من عشرةالفة في اتنين من العشرة مظبوط والالفة
+
+150
+00:20:05,200 --> 00:20:14,860
+احنا عارفينها اللي هي اربعين يعني هتكون ال FT يعني
+
+151
+00:20:14,860 --> 00:20:22,360
+هقسم على هتكون point zero اتنين تمانية تسعة زائد
+
+152
+00:20:22,360 --> 00:20:24,800
+point O اربع
+
+153
+00:20:26,370 --> 00:20:30,910
+زائد point
+
+154
+00:20:30,910 --> 00:20:40,430
+واحد اتنين مظبوط صح
+
+155
+00:20:40,430 --> 00:20:47,030
+في alpha اللي هي اربعين على
+
+156
+00:21:01,390 --> 00:21:09,450
+الكام ده طلع؟ سفر؟
+
+157
+00:21:09,450 --> 00:21:22,610
+النيوتن؟
+
+158
+00:21:28,810 --> 00:21:34,770
+طيب الاربيض ضربت الاربيين 62
+
+159
+00:21:34,770 --> 00:21:44,610
+.96 نيوتن
+
+160
+00:21:44,610 --> 00:21:53,430
+middle
+
+161
+00:21:53,430 --> 00:21:57,470
+components of reaction at O
+
+162
+00:21:59,720 --> 00:22:09,880
+يعني أخد summation of forces باتجاه ال Y summation
+
+163
+00:22:09,880 --> 00:22:16,580
+لل forces باتجاه ال Y بسوء
+
+164
+00:22:16,580 --> 00:22:17,580
+M A Y
+
+165
+00:22:24,240 --> 00:22:34,080
+هيكون عندى minus meg زائد
+
+166
+00:22:34,080 --> 00:22:39,700
+ry minus
+
+167
+00:22:39,700 --> 00:22:45,960
+obg
+
+168
+00:22:45,960 --> 00:22:46,880
+minus ft
+
+169
+00:22:57,320 --> 00:23:17,720
+بتساوي M A B A A A B Normal و ال A ال
+
+170
+00:23:17,720 --> 00:23:30,780
+A A B Normal So Omega Squareفي اتنين من عشرة صح ال
+
+171
+00:23:30,780 --> 00:23:47,960
+omega كم تمانية تربيع في اتنين من عشرة يعني
+
+172
+00:23:47,960 --> 00:23:50,760
+هكون عندى ال RY
+
+173
+00:23:53,560 --> 00:24:01,000
+بتساوي ال م ايه اللي هي اربعة في تسعة bond تمانية
+
+174
+00:24:01,000 --> 00:24:04,720
+ستة زائد تلاتة
+
+175
+00:24:07,300 --> 00:24:15,380
+فى تسعة point تمانية سفر ستة زائد ال Ft فى اتنين
+
+176
+00:24:15,380 --> 00:24:25,120
+ستين point تسعة ستة زائد تلاتة فى اتناش point
+
+177
+00:24:25,120 --> 00:24:25,760
+تمانية
+
+178
+00:24:30,420 --> 00:24:36,220
+طبعا راجعوا الاتجاهات اتاكدوا الاتجاهات صح؟ اذا في
+
+179
+00:24:36,220 --> 00:24:49,180
+خطأ عدله نيوتن
+
+180
+00:24:49,180 --> 00:24:57,080
+ال
+
+181
+00:24:57,080 --> 00:24:58,120
+RY طبعا ال RX
+
+182
+00:25:01,720 --> 00:25:06,120
+المفروض تكون عارفين ال F normal وان في علاقة بين
+
+183
+00:25:06,120 --> 00:25:11,220
+ال F T و ال F normal بتكون عارفين يعني في ما يسمى
+
+184
+00:25:11,220 --> 00:25:18,540
+ال pressure angle تخص
+
+185
+00:25:18,540 --> 00:25:25,500
+ماشية اتجاه ال X و انت بتحس بال R X و في علاقة بين
+
+186
+00:25:25,500 --> 00:25:31,540
+ال F normal و ال F tangential من اللي هيالـ
+
+187
+00:25:31,540 --> 00:25:36,580
+geometric characteristic بتاعة ال gear يعني بربط
+
+188
+00:25:36,580 --> 00:25:39,860
+ال F دي و ال F normal ال pressure angle بتاعة ال
+
+189
+00:25:39,860 --> 00:25:47,660
+gear هتكون ال F normal ف
+
+190
+00:25:47,660 --> 00:25:53,260
+F tangential tan و يستخدم ال pressure angle هاد
+
+191
+00:25:53,260 --> 00:25:56,320
+عادة بتكون عشرين درجة
+
+192
+00:26:04,010 --> 00:26:08,970
+طب في اي سؤال؟ هيك و نخلص اليوم، تاكلوا العافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/tCVjw9J18b4_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/tCVjw9J18b4_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..7afbdf465ddf3c4d162976591ec5c5ab05a54750
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/tCVjw9J18b4_raw.srt
@@ -0,0 +1,1084 @@
+1
+00:00:05,480 --> 00:00:08,780
+بسم الله الرحمن الرحيم السلام عليكم و رحمة الله و
+
+2
+00:00:08,780 --> 00:00:14,060
+بركاته هنكمل في مادة ال dynamica المحاضرة الفاتتة
+
+3
+00:00:14,060 --> 00:00:19,140
+حكينا عن ال kinematics of rigid bodies حكينا عن
+
+4
+00:00:19,140 --> 00:00:24,480
+الحركة الانتقالية للأجسام الجاسية و حكينا عن
+
+5
+00:00:24,480 --> 00:00:29,860
+الحركة الدورانية حوالين محور ثابت اليوم هنحكي عن
+
+6
+00:00:29,860 --> 00:00:34,680
+ال general plan motionال general plan motion يعني
+
+7
+00:00:34,680 --> 00:00:39,660
+بيكون في عنده اوش الحركة في المستوى واحد اتنين
+
+8
+00:00:39,660 --> 00:00:46,080
+بيكون في عنده انتقال لمركز ثقة لجسم وفي rotation
+
+9
+00:00:46,080 --> 00:00:53,340
+يعني التنين وجدين في عنده انتقال ودوران عندها ال
+
+10
+00:00:53,340 --> 00:01:00,320
+sphere او سيلندر تتدهرج على الأرضإذا اتبعت two
+
+11
+00:01:00,320 --> 00:01:09,060
+particles A1 في مركز السيلندر وB1 على المحيط إذا
+
+12
+00:01:09,060 --> 00:01:15,580
+السيلندر بتتدهرج بعد شوية هصير مركز استقل هيتغير
+
+13
+00:01:15,580 --> 00:01:22,180
+الموقع هصير عند A2 وB2 لأنه بلف هتكون B2 هنا واضح
+
+14
+00:01:22,180 --> 00:01:31,580
+أنه A1 B1 لايوازي A2 B2هذه أول ملاحظة، الملاحظة
+
+15
+00:01:31,580 --> 00:01:40,520
+التانية أن موقع A1 اتغير ل A2 معناته في انتقال و
+
+16
+00:01:40,520 --> 00:01:45,720
+لإن A1 ب A1 موازيش A2 بA2 معناته في rotation، في
+
+17
+00:01:45,720 --> 00:01:47,480
+عنده إياش rotation
+
+18
+00:01:49,920 --> 00:01:55,340
+اللي انا الحركة دو كان اجزئها لجزئين جزء انتقالي
+
+19
+00:01:55,340 --> 00:02:01,440
+زي جزء دوراني الجزء الانتقالي كان انه العملية
+
+20
+00:02:01,440 --> 00:02:08,200
+اعملها مرحلتين انه امسك السيلندر و اعملها sliding
+
+21
+00:02:08,200 --> 00:02:14,630
+slidingلل position الجديد sliding ل position جديد
+
+22
+00:02:14,630 --> 00:02:22,870
+فعندي a1 b1 بيصير عند a2 b1 prime بعدين اعمل كأنه
+
+23
+00:02:22,870 --> 00:02:29,970
+fixed pin عند a2 و rotation حوالين اياش a2 عشان
+
+24
+00:02:29,970 --> 00:02:34,170
+اصل ال final position b2 معناته انجزت فعلا الحركة
+
+25
+00:02:34,170 --> 00:02:40,510
+لجزء ال translation with aزاد rotation حوالين A
+
+26
+00:02:40,510 --> 00:02:45,410
+معناته ال general plural motion مكونة من جزء اي
+
+27
+00:02:45,410 --> 00:02:48,450
+تان طبعا هي بتصير العملية مع بعض بصير بس أنا
+
+28
+00:02:48,450 --> 00:02:52,290
+العملية التسيير عملية النمدة جا حكيت والله في
+
+29
+00:02:52,290 --> 00:02:58,020
+translation جزء translation و جزء عشر rotationطبعا
+
+30
+00:02:58,020 --> 00:03:00,060
+في translation و rotation معناته هي لا هي
+
+31
+00:03:00,060 --> 00:03:04,040
+translation pure ولا هي rotation pure عشان كنت
+
+32
+00:03:04,040 --> 00:03:07,960
+بستخدم ال general plan motion في عندى الحركتين
+
+33
+00:03:07,960 --> 00:03:13,660
+دوران و انتقال عندى
+
+34
+00:03:13,660 --> 00:03:22,340
+الشكل المبين شكل ل rigid body في المستوى صار في
+
+35
+00:03:22,340 --> 00:03:29,170
+وضعية هنالو خدت عندى particle A1 B1 نفس ال
+
+36
+00:03:29,170 --> 00:03:37,330
+particle A2 B2 واضح انه A1 B1 بيوازيش A2 B2 وواضح
+
+37
+00:03:37,330 --> 00:03:41,570
+انه ال A1 انتقلت ل A2 و ال B1 انتقلت ل B2 معناه
+
+38
+00:03:41,570 --> 00:03:46,490
+تفيه عندى صار Translation وفيه H Rotation العملية
+
+39
+00:03:46,490 --> 00:03:53,810
+ممكن برضه انا اجزئها لمرحل تانى انه احرك ال ..
+
+40
+00:03:54,310 --> 00:03:59,350
+الجسم من هذا ال position لل .. للوضع المتقطع هذا
+
+41
+00:03:59,350 --> 00:04:04,460
+لقيته ب واحد primary أنا عملت ashtranslation و
+
+42
+00:04:04,460 --> 00:04:08,740
+الدليل أن a1 b1 بوازي a2 b1 prime بعدين fixed
+
+43
+00:04:08,740 --> 00:04:12,840
+النقطة هذه كأنها محمر دوران و rotation حوال ال a2
+
+44
+00:04:12,840 --> 00:04:16,900
+لحد ما وصلت ال position النهائية ففي عندي
+
+45
+00:04:16,900 --> 00:04:24,900
+translation to a2 و rotation of b1 prime حوال ال
+
+46
+00:04:24,900 --> 00:04:27,560
+a2 to reach b2
+
+47
+00:04:32,720 --> 00:04:35,980
+لأ هنجي نعمل absolute and relativistic in plan
+
+48
+00:04:35,980 --> 00:04:43,420
+motion انا في عندى جسم in general plan motion احنا
+
+49
+00:04:43,420 --> 00:04:46,860
+حكينا اذا كان pure translation بتكون كل النقاط
+
+50
+00:04:46,860 --> 00:04:50,750
+اللي هي نفس السرعةلأن حيث انه في general plan
+
+51
+00:04:50,750 --> 00:04:53,530
+motion معناته اذا خدت two particle particle A و
+
+52
+00:04:53,530 --> 00:05:01,330
+particle B VA لا تستوى VB لا تستوى من ناحية القيمة
+
+53
+00:05:01,330 --> 00:05:06,150
+و من ناحية اتجاهات يعني مش نفس الاتجاه و مش نفس
+
+54
+00:05:06,150 --> 00:05:10,610
+القيمة بس ممكن احكي ان انا ال .. ال .. ال general
+
+55
+00:05:10,610 --> 00:05:15,450
+plan motion جزءين جزء انتقالي وجزء دوراني ان احكي
+
+56
+00:05:15,450 --> 00:05:15,910
+اول شي
+
+57
+00:05:18,800 --> 00:05:25,580
+لو كان الجسم in pure translation هتكون سرعة B نفس
+
+58
+00:05:25,580 --> 00:05:32,170
+سرعة A يعني عندي هاي VA وهنا عند بي VAو لو كان
+
+59
+00:05:32,170 --> 00:05:39,650
+under في ال rotation حوالين A هيكون فيه سرعة B
+
+60
+00:05:39,650 --> 00:05:45,870
+بالنسبة ل A VBA فبناته في جزين translation with A
+
+61
+00:05:45,870 --> 00:05:53,510
+و في rotation about A الآن موقع B بالنسبة ل A اللي
+
+62
+00:05:53,510 --> 00:06:02,970
+هي RBA هيكون طبعا فيه سرعة زاويةللجسم omega سرعة
+
+63
+00:06:02,970 --> 00:06:10,470
+الزاوية omega فهتكون سرعة النقطة B VB في جزء منها
+
+64
+00:06:10,470 --> 00:06:17,610
+انتقالي VA وفي جزء rotation of B بالنسبة ل A
+
+65
+00:06:17,610 --> 00:06:23,290
+rotation of B بالنسبة ل VBA لما نعمل vector
+
+66
+00:06:23,290 --> 00:06:33,210
+diagram هي ال VAو هي ال VB هي ال VB بستوى VA زائد
+
+67
+00:06:33,210 --> 00:06:41,670
+VBA ال VBA هتكون بستوى omega cross RBA كما لو ان
+
+68
+00:06:41,670 --> 00:06:54,230
+الجسم بدور حوالين A الحالة
+
+69
+00:06:54,230 --> 00:06:56,630
+شايفين ان انا شوف الحالة كمثال
+
+70
+00:07:01,490 --> 00:07:08,690
+في عندى رد موصول ب بلوكين بلوك بتحرك فى أفقى و
+
+71
+00:07:08,690 --> 00:07:15,470
+بلوك عندى بيتحرك رأسى يعنى ال particle ال pin عند
+
+72
+00:07:15,470 --> 00:07:19,710
+A اتجاهها بهذا الاتجاه هاي VA و ال particle عند B
+
+73
+00:07:19,710 --> 00:07:29,810
+هاي اتجاهه VB الله واضح انه VAلاتساوى VB at least
+
+74
+00:07:29,810 --> 00:07:34,830
+من ناحية اتجاه اكيد اتجاه A مختلف عن اتجاه B وممكن
+
+75
+00:07:34,830 --> 00:07:38,730
+برضه يكونوا مختلفين في القيمة يعني لا هم متساويين
+
+76
+00:07:38,730 --> 00:07:42,370
+في القيمة ولا متساويين في الاتجاه بمعناته انا عنده
+
+77
+00:07:42,370 --> 00:07:45,470
+general plan motion يعني في عنده translation and
+
+78
+00:07:45,470 --> 00:07:50,050
+rotation فممكن اعتبر انه الجسم اللي هو الرد AB
+
+79
+00:07:53,310 --> 00:08:01,030
+جزء منه translation VA نفسها VB و جزء منه rotation
+
+80
+00:08:01,030 --> 00:08:08,660
+حوالينA يعني هتكون عندي VBA يعني B ال .. ال رد
+
+81
+00:08:08,660 --> 00:08:11,260
+بدور حوالين A فبتكون سرعة B بالنسبة ل A اللي هي
+
+82
+00:08:11,260 --> 00:08:19,520
+VBA بتكون اللي هي R او .. او هتكون Omega cross R B
+
+83
+00:08:19,520 --> 00:08:28,180
+فلو نرسم ال .. ال .. المثلث المتجهات هي VBو هاي VA
+
+84
+00:08:28,180 --> 00:08:32,380
+يعني انا احكي ان ال VB ك vector سوى ال VA زاد ال
+
+85
+00:08:32,380 --> 00:08:37,260
+VBA و ال VBA بتكون عمودي على الخط الواصل بين B و A
+
+86
+00:08:37,260 --> 00:08:40,480
+نشوف
+
+87
+00:08:40,480 --> 00:08:48,380
+مثال عندي
+
+88
+00:08:48,380 --> 00:08:53,580
+the double gear rolls on the stationary lower rack
+
+89
+00:08:55,240 --> 00:08:58,020
+the width of each center is one point two meters
+
+90
+00:08:58,020 --> 00:09:02,660
+per second عندي double gear يعني الترس هذا الترس
+
+91
+00:09:02,660 --> 00:09:08,400
+هتترسين ثبتين مع بعض ان
+
+92
+00:09:08,400 --> 00:09:13,960
+مش مع الراك الترسي الأفق الصفلي يعني النقطة C ومش
+
+93
+00:09:13,960 --> 00:09:20,500
+عنده في الراك العلوي الراك الصفلي متحركش ثابت راك
+
+94
+00:09:20,500 --> 00:09:22,600
+صفلي ثابت
+
+95
+00:09:27,270 --> 00:09:38,170
+stationary ومركز الـ gear تحرك بصرحة VA بساوي واحد
+
+96
+00:09:38,170 --> 00:09:51,590
+واتنين من عشرة متر لكل ثانية هذه
+
+97
+00:09:51,590 --> 00:10:08,960
+R2بالساوية مية ملي و R واحد بالساوية
+
+98
+00:10:08,960 --> 00:10:19,280
+مية و خمسين ملي هذه
+
+99
+00:10:19,280 --> 00:10:32,740
+النقطة A هذه Dهذه C وهذه B determine
+
+100
+00:10:32,740 --> 00:10:38,960
+the angular velocity of the gear عشان اوجد ال
+
+101
+00:10:38,960 --> 00:10:42,500
+angular velocity للجير بده اخد two particles ع
+
+102
+00:10:42,500 --> 00:10:48,820
+الجير بده اخد C وA انا هاي الجير عنده
+
+103
+00:11:25,310 --> 00:11:29,970
+هي الترس هى
+
+104
+00:11:29,970 --> 00:11:40,330
+مركزه A وهى C هى VA لأن
+
+105
+00:11:40,330 --> 00:11:46,830
+C صرعية عيش الساعة الـ C النقطة C نقطة مشتركة بين
+
+106
+00:11:46,830 --> 00:11:53,580
+الترس المدور مع الترس المستقيمسورة .. و ال stress
+
+107
+00:11:53,580 --> 00:11:58,420
+اللي تسافر ليه اشمعله ثابت فانتوا VC ايش بتساوي؟
+
+108
+00:11:58,420 --> 00:12:06,580
+صفر فانتوا VC بتساوي
+
+109
+00:12:06,580 --> 00:12:10,760
+صفر هحكي
+
+110
+00:12:10,760 --> 00:12:17,780
+ان انا VA هتكون
+
+111
+00:12:17,780 --> 00:12:33,070
+سواء VC هذه VAزائد VA بالنسبة ل C لأن
+
+112
+00:12:33,070 --> 00:12:39,570
+VC بالساوية صفر معناته
+
+113
+00:12:39,570 --> 00:12:43,750
+ال VA اللي هي واحد point اتنين meter per second
+
+114
+00:12:43,750 --> 00:12:47,350
+بهذا الاتجاه بالساوية VAC
+
+115
+00:12:51,340 --> 00:13:04,820
+هتكون تساوي omega cross r a بالنسبة ل c يعني
+
+116
+00:13:04,820 --> 00:13:11,000
+واحد point اتنين هتكون تساوي omega r a c اللي هي
+
+117
+00:13:11,000 --> 00:13:18,460
+مية و خمسين في point واحد خمسة يعني omega
+
+118
+00:13:21,530 --> 00:13:27,370
+هتكون تساوي واحد point اتنين على point واحد خمسة
+
+119
+00:13:27,370 --> 00:13:36,210
+يعني هتكون مية و عشرين على خمستاش تمانية
+
+120
+00:13:36,210 --> 00:13:48,210
+تطلع تمانية radian per second clockwise هذا
+
+121
+00:13:48,210 --> 00:13:53,330
+المطلوب الأولالمطلوب التاني is the velocity of the
+
+122
+00:13:53,330 --> 00:14:00,490
+upper rack R ال
+
+123
+00:14:00,490 --> 00:14:06,670
+velocity للأعلى الراك V ال هي VR ايش بتساوي؟
+
+124
+00:14:06,670 --> 00:14:13,290
+بتساوي سرعة النقطة B ساوي VVB
+
+125
+00:14:13,290 --> 00:14:16,550
+و
+
+126
+00:14:16,550 --> 00:14:17,010
+VB
+
+127
+00:14:19,730 --> 00:14:33,330
+هتكون تستاوي VC زائد V بالنسبة ل C و
+
+128
+00:14:33,330 --> 00:14:38,890
+VC احنا حاكيه مش تستاوي صفر زائد V ب C اللي هتكون
+
+129
+00:14:38,890 --> 00:14:51,180
+Omega في R B بالنسبة ل C وهي اتجاههاعمودية بتكون
+
+130
+00:14:51,180 --> 00:14:56,660
+عمودية على خط الواصل بين B وC يعني هتكون Omega
+
+131
+00:14:56,660 --> 00:15:04,100
+اللي هي تمانية RBC هتكون مية و خمسين زائد مية متون
+
+132
+00:15:04,100 --> 00:15:05,920
+و خمسين في point اتنين خمسة
+
+133
+00:15:09,850 --> 00:15:17,970
+يعني هتكون اتنين متر لكل second هذا بالنسبة ل B
+
+134
+00:15:17,970 --> 00:15:26,670
+طيب D VD هتكون
+
+135
+00:15:26,670 --> 00:15:32,610
+تستوى VC زاد
+
+136
+00:15:32,610 --> 00:15:36,610
+VD بالنسبة ل C
+
+137
+00:15:51,900 --> 00:15:55,700
+الان يعني هذا بالسواء و هذا بالسواء خمسة عربى VDC
+
+138
+00:15:55,700 --> 00:16:06,380
+بالنسبة لها هتكون ايش VDC هذا VDC هتكون عمودية على
+
+139
+00:16:06,380 --> 00:16:17,390
+الخط الواصل بين C و Dال Vdc اللي هي omega في Rdc و
+
+140
+00:16:17,390 --> 00:16:24,310
+بتعمل زاوية خمس و أربعين مع الأفكي يعني هتكون
+
+141
+00:16:24,310 --> 00:16:32,750
+تمانية طبعا Rdc إيش تساوي Rdc
+
+142
+00:16:32,750 --> 00:16:34,130
+بتساوي جزر التربيعي
+
+143
+00:16:36,910 --> 00:16:43,850
+للمية و خمسين تربيع زاد مية و خمسين تربيع يعني مية
+
+144
+00:16:43,850 --> 00:16:50,810
+و خمسين جدر اتنين سيبليها
+
+145
+00:17:04,500 --> 00:17:12,820
+يعني هتكون ال V دي في مية و خمسين جدر اتنين و تعمل
+
+146
+00:17:12,820 --> 00:17:20,020
+زاوية خمسة و اربعين هاد
+
+147
+00:17:20,020 --> 00:17:24,800
+ميتين و اتناش يعني
+
+148
+00:17:24,800 --> 00:17:31,960
+هتكون تمانية يعني ال V دي هتكون ساوة تمانية
+
+149
+00:17:34,800 --> 00:17:39,360
+في متين و اتناش بتساوي
+
+150
+00:17:39,360 --> 00:17:45,020
+تان اتنين ستة
+
+151
+00:17:45,020 --> 00:17:55,620
+تسعة ستاش تكون واحد بين ستة تسعة ستة متر per
+
+152
+00:17:55,620 --> 00:17:59,340
+second بتعمل زاوية خمسة واربعين
+
+153
+00:18:15,690 --> 00:18:43,770
+الحل كمان مثال في
+
+154
+00:18:43,770 --> 00:18:45,390
+دي Slider crank ميكانزم
+
+155
+00:18:48,600 --> 00:18:57,560
+الكوارنمنت الكرانك كرانك a,b و ال connecting rod b
+
+156
+00:18:57,560 --> 00:19:03,720
+,d و البسوند b الكرانك
+
+157
+00:19:03,720 --> 00:19:10,120
+a,b has a constant clockwise angular velocity of
+
+158
+00:19:10,120 --> 00:19:12,500
+2000 rpm
+
+159
+00:19:15,530 --> 00:19:19,150
+for the crank position indicated يعني لما كانت
+
+160
+00:19:19,150 --> 00:19:23,410
+الكرانك عاملة او اربعين درجة مع الافوكة determine
+
+161
+00:19:23,410 --> 00:19:32,750
+the angle of rest of the connecting rod BD انا
+
+162
+00:19:32,750 --> 00:19:33,730
+هاي الكرانك عندى
+
+163
+00:19:54,480 --> 00:20:01,480
+هذه A B D
+
+164
+00:20:01,480 --> 00:20:08,120
+هذه
+
+165
+00:20:08,120 --> 00:20:16,120
+الزاوية أربعين درجة بد
+
+166
+00:20:16,120 --> 00:20:21,660
+الصورة على الزاوية ل
+
+167
+00:20:21,660 --> 00:20:24,000
+connect group B D
+
+168
+00:20:28,520 --> 00:20:36,300
+طيب ال crank BA crank AB
+
+169
+00:20:36,300 --> 00:20:39,620
+نوع
+
+170
+00:20:39,620 --> 00:20:47,660
+حركتها is in pure rotation
+
+171
+00:20:47,660 --> 00:20:51,900
+about
+
+172
+00:20:51,900 --> 00:20:57,840
+A معناته VB
+
+173
+00:21:00,590 --> 00:21:05,530
+هتكون تستوى Omega AB في
+
+174
+00:21:05,530 --> 00:21:10,030
+RAB مظبوط؟
+
+175
+00:21:10,030 --> 00:21:17,990
+يعني هتكون ال Omega AB مُعطَع إنها ألفين
+
+176
+00:21:17,990 --> 00:21:31,080
+RPM صح؟ اللي هي ألفين في اتنين باي ع ستينعشان احول
+
+177
+00:21:31,080 --> 00:21:51,500
+ال radians per second ها كم تطلع سوق
+
+178
+00:21:51,500 --> 00:21:52,840
+النط في ال LCD
+
+179
+00:22:00,150 --> 00:22:08,730
+متين وتسعة فاصل اربع راديان per second يعني VB
+
+180
+00:22:08,730 --> 00:22:14,610
+هتكون قيمتها اللي هي متين وتسعة فاصل اربع في RAB
+
+181
+00:22:14,610 --> 00:22:19,810
+اللي هي تلت انش هتكون تساوي
+
+182
+00:22:28,330 --> 00:22:34,730
+طبعا ال VB هتتحرك
+
+183
+00:22:34,730 --> 00:22:44,330
+Clockwise هتكون عمودية على
+
+184
+00:22:44,330 --> 00:22:44,670
+ال AB
+
+185
+00:22:57,560 --> 00:23:00,720
+ستمية تلاتة و اربع و اتناء ستمية و تمانية و عشرين
+
+186
+00:23:00,720 --> 00:23:05,700
+فاصلة تلاتة و اتنين فاصلة تلاتة و اتنين فاصلة
+
+187
+00:23:05,700 --> 00:23:08,160
+تلاتة و اتنين فاصلة تلاتة و اتنين فاصلة تلاتة و
+
+188
+00:23:08,160 --> 00:23:09,900
+اتنين فاصلة تلاتة و اتنين فاصلة تلاتة و اتنين
+
+189
+00:23:09,900 --> 00:23:09,960
+فاصلة تلاتة و اتنين فاصلة تلاتة و اتنين فاصلة
+
+190
+00:23:09,960 --> 00:23:10,760
+تلاتة و اتنين فاصلة تلاتة و اتنين فاصلة تلاتة و
+
+191
+00:23:10,760 --> 00:23:13,660
+اتنين فاصلة تلاتة و اتنين فاصلة تلاتة و اتنين
+
+192
+00:23:13,660 --> 00:23:26,060
+فاصلة تلاتة و اتنين فاصلة تلاتة و اتنين فاصلة
+
+193
+00:23:26,060 --> 00:23:33,740
+تلو هاي اتجاه ال VD ممكن
+
+194
+00:23:33,740 --> 00:23:47,420
+ناخد ال link هذه اللي هو VD هاي VB و
+
+195
+00:23:47,420 --> 00:24:02,170
+هاد ايش VD هاي VB و هاد Dهذه هتكون تعمل
+
+196
+00:24:02,170 --> 00:24:23,290
+مع الرأس اربعين درجة هذه
+
+197
+00:24:23,290 --> 00:24:34,680
+ممكن احكيواضح انه VB بيتوازيش VD وقيمة VB مش .. مش
+
+198
+00:24:34,680 --> 00:24:38,620
+هتساوى على ال .. يعني بشكل عام مش هتساوى VD معناته
+
+199
+00:24:38,620 --> 00:24:44,160
+انا الحركة انها general plan motion ممكن احكي هذه
+
+200
+00:24:44,160 --> 00:24:48,480
+عبارة عن translation
+
+201
+00:24:48,480 --> 00:24:52,540
+with V translation with V
+
+202
+00:24:58,970 --> 00:25:10,650
+و هي VB زائد rotation rotation
+
+203
+00:25:10,650 --> 00:25:22,890
+about B هيكون معناته هذه VD بالنسبة ل B هيكون
+
+204
+00:25:22,890 --> 00:25:27,130
+عمودي على BD
+
+205
+00:25:29,940 --> 00:25:35,360
+طب انا محتاج اعرف .. بدي اعرف الزاوية هذه محتاج
+
+206
+00:25:35,360 --> 00:25:41,080
+اعرف الزاوية هذه بسميها
+
+207
+00:25:41,080 --> 00:25:49,540
+beta ممكن
+
+208
+00:25:49,540 --> 00:25:55,660
+اخد المثلث هذا في
+
+209
+00:25:55,660 --> 00:25:56,400
+المثلث
+
+210
+00:26:06,700 --> 00:26:17,240
+AAB بيكون BE بيكون
+
+211
+00:26:17,240 --> 00:26:22,780
+بيساوي اللي هو AB sin
+
+212
+00:26:22,780 --> 00:26:31,700
+40 صح؟ لو أخدت المثلث BED
+
+213
+00:26:37,470 --> 00:26:42,150
+برضه BA بيكون
+
+214
+00:26:42,150 --> 00:26:54,070
+بالساوية PD sin beta يعني هذه بتساوي هذه يعني هكون
+
+215
+00:26:54,070 --> 00:26:58,470
+عندي AB sin
+
+216
+00:26:58,470 --> 00:27:12,200
+40 بيساوية PD sin betaAB معطنية تلاتة في
+
+217
+00:27:12,200 --> 00:27:21,440
+صين الاربعين بالساوية PD معطنية تمانية في صين
+
+218
+00:27:21,440 --> 00:27:27,220
+البيتا معناته البيتا هتكون ساوية sign inverse
+
+219
+00:27:27,220 --> 00:27:30,800
+لتلاتة
+
+220
+00:27:30,800 --> 00:27:35,820
+في صين الاربعين على تمانية
+
+221
+00:27:58,470 --> 00:28:11,050
+اربعتاش point something أكام point اتنين degrees
+
+222
+00:28:11,050 --> 00:28:21,110
+معناته هذه هتكون تعمل مع الرأس زاوية اربعتاش
+
+223
+00:28:21,110 --> 00:28:24,990
+point تلاتة
+
+224
+00:28:27,560 --> 00:28:35,840
+يعني اه حاجة اللي هحكيه VD هيها هي اتجاهها
+
+225
+00:28:35,840 --> 00:28:38,900
+بالساوية
+
+226
+00:28:38,900 --> 00:28:44,760
+VB هي اتجاهها
+
+227
+00:29:00,230 --> 00:29:09,510
+زائد VD بالنسبة ل B و
+
+228
+00:29:09,510 --> 00:29:18,230
+بتعمل زاوية مع الرأس 14
+
+229
+00:29:18,230 --> 00:29:19,930
+.38 degrees
+
+230
+00:29:28,900 --> 00:29:31,380
+معنى تبقى انا اخد ال .. ال .. ال vertical
+
+231
+00:29:31,380 --> 00:29:48,140
+component ال vertical component هي
+
+232
+00:29:48,140 --> 00:29:53,180
+الموجب هكويندي
+
+233
+00:29:53,180 --> 00:29:56,900
+.. هد فيه لها vertical component؟ لأ صفر
+
+234
+00:29:59,730 --> 00:30:11,670
+هتكون تساوي minus vb cosine الاربعين زاد
+
+235
+00:30:11,670 --> 00:30:17,670
+vdb cosine
+
+236
+00:30:17,670 --> 00:30:23,270
+الاربعتاش bond تلاتة معناته ال vdb
+
+237
+00:30:26,720 --> 00:30:32,060
+هتكون تساوي اللى هى ال VB احنا ال VB اللى هى ستمية
+
+238
+00:30:32,060 --> 00:30:35,100
+و تمانية و عشرين هتكون تساوي ستمية و تمانية و
+
+239
+00:30:35,100 --> 00:30:43,320
+عشرين point اتنين في cosine الاربعين على cosine
+
+240
+00:30:43,320 --> 00:30:46,700
+الاربعتاش
+
+241
+00:30:46,700 --> 00:30:52,060
+point تلتة هدى VDB القيمة بتاعتها
+
+242
+00:31:00,100 --> 00:31:06,200
+طيب و VDP بتساوي
+
+243
+00:31:06,200 --> 00:31:16,020
+Omega لل connecting rod PD في المسافة اللي هي RPD
+
+244
+00:31:16,020 --> 00:31:27,100
+يعني حتى تكون تساوي اكم طلعت يا عزيزي ال
+
+245
+00:31:27,100 --> 00:31:28,020
+Omega PD
+
+246
+00:31:31,940 --> 00:31:45,420
+الار بي دي اللي هي تمانية و منها بطلع الامجا بي دي
+
+247
+00:31:45,420 --> 00:31:53,520
+هذه
+
+248
+00:31:53,520 --> 00:31:55,940
+اربعمية
+
+249
+00:31:58,080 --> 00:32:05,220
+وستة و تسعين و نص انش per second هنا هتكون omega
+
+250
+00:32:05,220 --> 00:32:11,200
+PD اربعمية وستة و تسعين و نص على
+
+251
+00:32:11,200 --> 00:32:18,020
+تمانية اكم
+
+252
+00:32:18,020 --> 00:32:23,180
+رديان
+
+253
+00:32:23,180 --> 00:32:26,820
+per second clockwise ولا counter clockwise
+
+254
+00:32:29,450 --> 00:32:36,570
+هي counter clockwise counter clockwise
+
+255
+00:32:36,570 --> 00:32:45,510
+لان عشان نحسب vd سرعة البسطون باخد ال horizontal
+
+256
+00:32:45,510 --> 00:32:49,230
+component ال horizontal
+
+257
+00:32:49,230 --> 00:32:55,710
+component
+
+258
+00:32:55,710 --> 00:33:13,880
+هتكون vdبتساوي VB SIN 40 زاد
+
+259
+00:33:13,880 --> 00:33:20,080
+VDB SIN
+
+260
+00:33:20,080 --> 00:33:26,640
+14 3 يعني هتكون ال VB عنده
+
+261
+00:33:30,760 --> 00:33:35,880
+ال VB 622.2 SIN
+
+262
+00:33:35,880 --> 00:33:40,000
+40 VDB
+
+263
+00:33:40,000 --> 00:33:45,680
+406.5 SIN
+
+264
+00:33:45,680 --> 00:33:49,240
+14.3
+
+265
+00:34:34,530 --> 00:34:38,730
+طيب هيك هنا جبنا السرعة الزاوية ال connecting rod
+
+266
+00:34:38,730 --> 00:34:42,130
+722
+
+267
+00:34:42,130 --> 00:34:45,970
+انش
+
+268
+00:34:45,970 --> 00:34:53,250
+لكل second و جبنا سرعة البستون اللي هي ال Vp هي
+
+269
+00:34:53,250 --> 00:34:58,670
+نفسها ال Vd باستخدام
+
+270
+00:34:58,670 --> 00:35:00,130
+هي relative velocity method
+
+271
+00:35:03,030 --> 00:35:07,110
+في اي سؤال؟ هذا للجاي بنكمل، أعطيكوا العفو
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uJB1bY1W5qM.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uJB1bY1W5qM.srt
new file mode 100644
index 0000000000000000000000000000000000000000..cbdf48886252e082776f14c580ff4d35843ef9fe
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uJB1bY1W5qM.srt
@@ -0,0 +1,922 @@
+1
+00:00:05,090 --> 00:00:07,910
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله و
+
+2
+00:00:07,910 --> 00:00:12,630
+بركاته هنكمل chapter 17، المحاضرة الفاتتة، وبعدين
+
+3
+00:00:12,630 --> 00:00:17,570
+نحل مسألة على الـ eccentric impact. حلنا مسألتين
+
+4
+00:00:17,570 --> 00:00:20,950
+هنكمل اليوم، نحلّ المسألة الثالثة، وبعدين نكون أنهينا
+
+5
+00:00:20,950 --> 00:00:23,790
+الـ chapter. شوف المثال
+
+6
+00:00:31,170 --> 00:00:39,530
+A square package of mass M. عندي صندوق كتلة M
+
+7
+00:00:39,530 --> 00:00:46,410
+square
+
+8
+00:00:46,410 --> 00:00:56,990
+package الـ
+
+9
+00:00:56,990 --> 00:00:57,930
+mass بتاعته M
+
+10
+00:01:01,420 --> 00:01:07,960
+moves down a conveyor belt A with a constant
+
+11
+00:01:07,960 --> 00:01:13,160
+velocity. بتتحرك على بيلت مائلة بزاوية 15 درجة
+
+12
+00:01:13,160 --> 00:01:25,180
+بسرعة منتظمة. At the end of the conveyor, the corner
+
+13
+00:01:25,180 --> 00:01:32,320
+of the packagestrikes the rigid support at B. في
+
+14
+00:01:32,320 --> 00:01:39,380
+نهاية الـ... الـ conveyor، في عندي اللي هو الحافة هذه
+
+15
+00:01:39,380 --> 00:01:46,560
+تخبط فيها، بيصيبها، ومتحولها، بيلف معانا، ماشي الـ
+
+16
+00:01:46,560 --> 00:01:51,620
+impact is perfectly plastic. يعني بيظل الـ package
+
+17
+00:01:51,620 --> 00:01:59,190
+ملامس لنقطة إيش اتصادمها الـ... الـ perfectly الـ
+
+18
+00:01:59,190 --> 00:02:05,450
+impact is
+
+19
+00:02:05,450 --> 00:02:11,390
+perfectly plastic.
+
+20
+00:02:11,390 --> 00:02:15,310
+آه
+
+21
+00:02:15,310 --> 00:02:23,360
+يعني بيظل ملامس، بيظلوا in contact معاها. Derive an
+
+22
+00:02:23,360 --> 00:02:25,800
+expression for the minimum velocity of the
+
+23
+00:02:25,800 --> 00:02:31,360
+conveyor belt A for which the package will rotate
+
+24
+00:02:31,360 --> 00:02:39,320
+about B. جيب لي قيمة أقل سرعة للـ... للـ conveyor،
+
+25
+00:02:39,320 --> 00:02:44,820
+الـ conveyor مهم حتى تسرّع ليه؟ لـ... للـ box for
+
+26
+00:02:44,820 --> 00:02:49,540
+which the package will rotate about B and reach
+
+27
+00:02:49,540 --> 00:02:54,100
+conveyor belt C. لأن بدك تدور، وتبقى لافة، تكشف
+
+28
+00:02:54,100 --> 00:02:58,720
+الدور شوية، وترجع تاني. فبده الـ minimum speed، لأن
+
+29
+00:02:58,720 --> 00:03:03,140
+كل ما زودت السرعة، كل ما احتاج أن أدور أكثر، تكون
+
+30
+00:03:03,140 --> 00:03:08,080
+أسهل. طيب
+
+31
+00:03:08,080 --> 00:03:12,560
+أنا
+
+32
+00:03:12,560 --> 00:03:13,380
+عندي هاي الـ package
+
+33
+00:03:22,260 --> 00:03:27,840
+ماشي بسرعة V1. نحسب V1 بحيث أنّه تصير rotation
+
+34
+00:03:27,840 --> 00:03:31,040
+وتنتقل على الـ belt الثاني، تنتقل للـ belt الثاني
+
+35
+00:03:31,040 --> 00:03:37,940
+الـ package مربعة، عشان تنتقل للـ belt الثاني الـ
+
+36
+00:03:37,940 --> 00:03:44,020
+minimum، لازم أعطيها energy بحيث أنّه at least تكون
+
+37
+00:03:44,020 --> 00:03:51,280
+vertical. تصير القطر بتاعها vertical، يعني القطر
+
+38
+00:03:51,280 --> 00:03:51,760
+بتاعها
+
+39
+00:03:57,560 --> 00:04:03,600
+يكون vertical. طبعاً vertical هو شوية بشوية، طبعاً آه
+
+40
+00:04:03,600 --> 00:04:08,280
+بشوية، طبعاً آه. بس هو الـ minimum، الـ critical، أن يكون
+
+41
+00:04:08,280 --> 00:04:16,380
+القطر بتاع الـ package رأسيًا. هذا هو الـ solution
+
+42
+00:04:16,380 --> 00:04:24,960
+معناته حاجة
+
+43
+00:04:24,960 --> 00:04:40,050
+أنا أدرس ما قبل التصادم. الـ package قبل
+
+44
+00:04:40,050 --> 00:04:50,870
+التصادم، الزاوية
+
+45
+00:04:50,870 --> 00:04:54,510
+خمسة عشر درجة، كان لها
+
+46
+00:05:02,990 --> 00:05:18,230
+في V واحد، صح؟ الزخم بتاع M في V واحد، خلال التصادم
+
+47
+00:05:18,230 --> 00:05:24,530
+في
+
+48
+00:05:24,530 --> 00:05:26,010
+عندي هنا نقطة تصادم
+
+49
+00:05:30,580 --> 00:05:36,800
+في الوزن، طبعاً M
+
+50
+00:05:36,800 --> 00:05:50,040
+جي دلتا تي، وممكن أحكي هنا والله عندي R اكس دلتا تي
+
+51
+00:05:50,040 --> 00:05:58,860
+وري دلتا تي ده خلال التصادم، مش ثاني، مش ثاني، وفي
+
+52
+00:05:58,860 --> 00:05:59,160
+normal
+
+53
+00:06:10,700 --> 00:06:16,220
+Normal Delta T. في الـ friction هو اللي محرّكه، فهي الـ
+
+54
+00:06:16,220 --> 00:06:20,480
+friction F
+
+55
+00:06:20,480 --> 00:06:23,820
+Delta
+
+56
+00:06:23,820 --> 00:06:28,840
+T، و
+
+57
+00:06:28,840 --> 00:06:32,640
+هاد الزاوية 15
+
+58
+00:06:32,640 --> 00:06:38,700
+درجة، حيث
+
+59
+00:06:38,700 --> 00:06:39,020
+ساوي
+
+60
+00:06:42,750 --> 00:06:52,330
+بعد التصادم مباشرةً لـ
+
+61
+00:06:52,330 --> 00:06:59,030
+مباشرةً، لسه بدأت الدور، أنا بدرس فترة التصادم
+
+62
+00:06:59,030 --> 00:07:09,470
+المفروض
+
+63
+00:07:09,470 --> 00:07:10,630
+الدوران حول هذه النقطة
+
+64
+00:07:14,210 --> 00:07:22,070
+هتكون، معناته الصورة بتاعتها اللي
+
+65
+00:07:22,070 --> 00:07:29,750
+هي M. M
+
+66
+00:07:29,750 --> 00:07:39,310
+V Prime، صح؟ وهذه هتكون اللي هي I
+
+67
+00:07:39,310 --> 00:07:42,510
+Omega
+
+68
+00:07:44,770 --> 00:07:52,450
+الـ prime. طيب
+
+69
+00:07:52,450 --> 00:07:58,330
+نعتبر
+
+70
+00:07:58,330 --> 00:08:02,830
+هاي الـ X، هاي
+
+71
+00:08:02,830 --> 00:08:09,770
+الـ Y. ها
+
+72
+00:08:09,770 --> 00:08:12,930
+طبعاً خمسة عشر درجة
+
+73
+00:08:16,820 --> 00:08:25,400
+فأنا الـ momentum system، momentum واحد
+
+74
+00:08:25,400 --> 00:08:34,160
+زاد الـ impulse من واحد لاثنين، بيستوي الـ system
+
+75
+00:08:34,160 --> 00:08:39,960
+momentum اثنين
+
+76
+00:08:49,370 --> 00:08:52,410
+فهم يعطينا الله تعالى آيه؟ في آيه؟ هو مربع
+
+77
+00:09:19,350 --> 00:09:26,750
+ده اللي هاخد الـ moment حواليه. هذه نقطة
+
+78
+00:09:26,750 --> 00:09:34,910
+هذه اسمها إيه؟ هذه إيه؟ هذه إيه؟ هاخد الـ moment of
+
+79
+00:09:34,910 --> 00:09:41,710
+moment حواليه إيه؟ moment of
+
+80
+00:09:41,710 --> 00:09:43,090
+moment about
+
+81
+00:10:01,000 --> 00:10:08,860
+A. هتكون هذه
+
+82
+00:10:08,860 --> 00:10:14,140
+V واحد M
+
+83
+00:10:14,140 --> 00:10:18,740
+A على اثنين M
+
+84
+00:10:20,260 --> 00:10:36,900
+الـ V1، صح؟ هتساوي
+
+85
+00:10:36,900 --> 00:10:43,000
+لأن طبعاً هذه مش هتبين، وهو مش هتبين، الـ friction مش
+
+86
+00:10:43,000 --> 00:10:47,140
+هيبين، هيكون عنده
+
+87
+00:10:52,540 --> 00:10:58,240
+خلال عملية التصادم تقريباً
+
+88
+00:10:58,240 --> 00:11:02,400
+الـ... الـ normal force والـ MG بيساوي بعض، بالـ
+
+89
+00:11:02,400 --> 00:11:06,660
+بعض، صح؟
+
+90
+00:11:06,660 --> 00:11:14,340
+هيكون بيساوي
+
+91
+00:11:14,340 --> 00:11:18,460
+M
+
+92
+00:11:21,170 --> 00:11:30,790
+v prime. طبعاً هذه كلها طولها على بعضها كم؟ الجذر
+
+93
+00:11:30,790 --> 00:11:38,550
+اثنين A، صح؟ هتكون الجذر
+
+94
+00:11:38,550 --> 00:11:45,310
+اثنين A على
+
+95
+00:11:45,310 --> 00:11:55,410
+اثنين. بعد نصف v prime
+
+96
+00:11:55,410 --> 00:11:59,150
+أو
+
+97
+00:11:59,150 --> 00:12:03,870
+خلينا نسميها اثنين
+
+98
+00:12:03,870 --> 00:12:16,990
+اثنين
+
+99
+00:12:16,990 --> 00:12:17,930
+زائد
+
+100
+00:12:20,240 --> 00:12:29,820
+I أوميغا اثنين. الـ
+
+101
+00:12:29,820 --> 00:12:35,100
+I للصندوق كم هتكون تساوي؟
+
+102
+00:12:35,100 --> 00:12:43,540
+سدس M A تربيع. يعني
+
+103
+00:12:43,540 --> 00:12:59,840
+هيكون ده A على اثنين M V واحد يساوي جذر اثنين على
+
+104
+00:12:59,840 --> 00:13:11,080
+اثنين A في M. طبعاً في علاقة بين V2 وأوميغا 2، صح؟ V2
+
+105
+00:13:13,310 --> 00:13:22,790
+بالسبب اللي هو جذر اثنين على اثنين A أوميغا اثنين
+
+106
+00:13:22,790 --> 00:13:26,630
+خلينا
+
+107
+00:13:26,630 --> 00:13:37,610
+نعوض عن V اثنين في جذر اثنين على اثنين A
+
+108
+00:13:37,610 --> 00:13:41,890
+أوميغا اثنين
+
+109
+00:13:43,360 --> 00:13:51,960
+زيد I اللي هي واحد على ستة M A تربيع في أوميغا اثنين
+
+110
+00:13:51,960 --> 00:13:58,760
+يعني أنا حالياً عندي M و
+
+111
+00:13:58,760 --> 00:14:06,680
+M و A و A
+
+112
+00:14:09,890 --> 00:14:18,490
+وعندي هذه، وهذه مع هذه، صح؟ والمجهول هستخدم، اضرب الطرفين
+
+113
+00:14:18,490 --> 00:14:28,550
+في اثنين. هيكون عندي V واحد بيساوي
+
+114
+00:14:28,550 --> 00:14:32,390
+A
+
+115
+00:14:32,390 --> 00:14:39,510
+على اثنين، أو نحكي أمر اثنين، نطلعها برا، صح؟
+
+116
+00:14:44,590 --> 00:14:57,290
+عندي هنا A على اثنين، هيكون A أوميغا
+
+117
+00:14:57,290 --> 00:15:01,470
+اثنين في A هيكون
+
+118
+00:15:01,470 --> 00:15:14,110
+عندي هنا واحد زائد ثلث، صح؟ يعني هتكون أوميغا اثنين
+
+119
+00:15:19,010 --> 00:15:28,350
+هذه أربعة على ثلاثة، هيكون ثلاثة، ثلاثة V واحد على
+
+120
+00:15:28,350 --> 00:15:32,730
+أربعة A
+
+121
+00:15:32,730 --> 00:15:44,670
+هذه أوميغا اثنين، هذا
+
+122
+00:15:44,670 --> 00:15:45,310
+أول برحلة
+
+123
+00:15:48,470 --> 00:15:56,210
+من بعد التصادم لحد ما يصير vertical، يعني الوضعية
+
+124
+00:15:56,210 --> 00:15:56,670
+الأولى
+
+125
+00:16:16,300 --> 00:16:21,180
+هذا لأن الـ position واحد، الـ position الثاني
+
+126
+00:16:59,070 --> 00:17:17,510
+هذا المستوى، أنا
+
+127
+00:17:17,510 --> 00:17:27,130
+بدي أحكي من اثنين لثلاثة. هذا اثنين، و
+
+128
+00:17:27,130 --> 00:17:27,730
+هذا إيش
+
+129
+00:17:40,940 --> 00:17:49,220
+ثلاثة. هفترض أن دا فرضية أن الـ force is
+
+130
+00:17:49,220 --> 00:17:53,860
+conservative، عشان أحكي أن T2
+
+131
+00:17:56,240 --> 00:18:04,140
+زائد V2 بيساوي T3 زائد
+
+132
+00:18:04,140 --> 00:18:07,420
+V3
+
+133
+00:18:07,420 --> 00:18:20,800
+هذه
+
+134
+00:18:20,800 --> 00:18:33,030
+زوايا 45 وهذه 15، فالحجز كلها كم؟ ستين. فأنا
+
+135
+00:18:33,030 --> 00:18:45,830
+في هذه المسافة، هتكون هذا كله كم؟ هتكون هتكون هذه A
+
+136
+00:18:45,830 --> 00:18:53,510
+جذر اثنين على اثنين ساين ستين
+
+137
+00:19:00,010 --> 00:19:16,610
+وهادي هتكون A جذر اثنين على اثنين ساين
+
+138
+00:19:16,610 --> 00:19:27,370
+كان عندي V2 أوميغا 2، وهنا V3
+
+139
+00:19:29,570 --> 00:19:36,790
+وأوميغا ثري. إيش قيمة الـ V3 والـ أوميغا ثري؟ هيكون يصل
+
+140
+00:19:36,790 --> 00:19:41,890
+لحالة سكون لحظة، هيكون يعني V ثلاثة هتكون صفر
+
+141
+00:19:41,890 --> 00:19:57,130
+Zero. نجي نعوض، يعني T2 هتكون نص M V2 تربيع
+
+142
+00:19:58,610 --> 00:20:16,130
+زائد نص I أوميغا اثنين تربيع. هيكون نص M في
+
+143
+00:20:16,130 --> 00:20:19,430
+اثنين. احنا احنا احنا احنا احنا احنا احنا احنا احنا
+
+144
+00:20:19,430 --> 00:20:20,030
+احنا احنا احنا احنا احنا احنا احنا احنا احنا احنا
+
+145
+00:20:20,030 --> 00:20:20,750
+احنا احنا احنا احنا احنا احنا احنا احنا احنا احنا
+
+146
+00:20:20,750 --> 00:20:20,770
+احنا احنا احنا احنا احنا احنا احنا احنا احنا احنا
+
+147
+00:20:20,770 --> 00:20:25,750
+احنا احنا احنا احنا احنا احنا أح
+
+148
+00:20:29,900 --> 00:20:46,020
+A تربيع أوميغا اثنين تربيع زائد نص في سدس M A
+
+149
+00:20:46,020 --> 00:20:56,000
+تربيع أوميغا اثنين تربيع. يعني هتكون T اثنين نص في
+
+150
+00:20:56,000 --> 00:21:04,500
+نص، ربعو، نصف سدس، واحد على اثنا عشر. يعني اضرب في ثلاثة
+
+151
+00:21:04,500 --> 00:21:10,120
+اضربها بثلاثة على اثنا عشر، ثلاثة زائد واحد، أربعة على
+
+152
+00:21:10,120 --> 00:21:17,620
+اثنا عشر، ثلث، هتكون تطلع الثلث M
+
+153
+00:21:17,620 --> 00:21:20,920
+A
+
+154
+00:21:20,920 --> 00:21:25,900
+تربيع أوميغا اثنين تربيع
+
+155
+00:21:29,650 --> 00:21:35,230
+و V2 هتكون
+
+156
+00:21:35,230 --> 00:21:41,570
+تساوي M G
+
+157
+00:21:41,570 --> 00:21:51,370
+في المسافة هذه، صح؟ اللي هي A جذر اثنين على اثنين
+
+158
+00:21:51,370 --> 00:21:56,270
+ساين ستين. هذا V2
+
+159
+00:21:59,070 --> 00:22:03,570
+T ثلاثة شو يساوي؟
+
+160
+00:22:03,570 --> 00:22:07,710
+صفر، و
+
+161
+00:22:07,710 --> 00:22:19,510
+V ثلاثة هتكون M G A جذر
+
+162
+00:22:19,510 --> 00:22:24,070
+اثنين على اثنين. نعوض هنا عند الـ quantity اثنين
+
+163
+00:22:24,070 --> 00:22:25,850
+اللي هي ثلث
+
+164
+00:22:28,020 --> 00:22:40,140
+M A تربيع أوميغا اثنين تربيع زائد A جذر اثنين على
+
+165
+00:22:40,140 --> 00:22:54,580
+اثنين في جذر ثلاثة على اثنين اللي هي ساين ستين زائد
+
+166
+00:22:54,580 --> 00:22:55,680
+بيساوي اثنين اللي هي M G
+
+167
+00:22:59,830 --> 00:23:09,490
+في A جذر اثنين على اثنين جذر ثلاثة على اثنين
+
+168
+00:23:09,490 --> 00:23:18,770
+بتساوي V ثلاثة اللي هي M G A
+
+169
+00:23:18,770 --> 00:23:25,010
+جذر اثنين على
+
+170
+00:23:25,010 --> 00:23:28,090
+اثنين زائد صفر، صح؟
+
+171
+00:23:33,600 --> 00:23:39,260
+يعني خليني اختصر عند الـ M بتروح، والـ
+
+172
+00:23:39,260 --> 00:23:44,220
+A بتروح
+
+173
+00:23:44,220 --> 00:23:56,920
+عند الـ A هنا والـ A، يعني
+
+174
+00:23:56,920 --> 00:24:00,600
+هيكون عندي A ثلث
+
+175
+00:24:05,220 --> 00:24:16,020
+A أوميغا اثنين تربيع بتساوي
+
+176
+00:24:16,020 --> 00:24:19,840
+G
+
+177
+00:24:19,840 --> 00:24:23,700
+جذر
+
+178
+00:24:23,700 --> 00:24:33,000
+اثنين على اثنين في واحد
+
+179
+00:24:35,680 --> 00:24:51,760
+ناقص جذر ثلاثة على اثنين. يعني
+
+180
+00:24:51,760 --> 00:25:00,280
+أنا عرفت أوميغا اثنين، صح؟ يعني هقسم على إيه؟ حضر في
+
+181
+00:25:00,280 --> 00:25:00,840
+ثلاثة
+
+182
+00:25:07,000 --> 00:25:13,000
+وأقسم على إيه، صح؟
+
+183
+00:25:13,000 --> 00:25:20,740
+هاد أوميغا اثنين تربيع، خليني أحسبها، أحسب
+
+184
+00:25:20,740 --> 00:25:25,720
+للرقم هذا اللي هو G في جذر اثنين على اثنين في واحد
+
+185
+00:25:25,720 --> 00:25:28,120
+ناقص جذر ثلاثة على اثنين في إيش؟ في ثلاثة
+
+186
+00:25:49,450 --> 00:25:59,810
+بغت أخد تحت الجذر، بغت
+
+187
+00:25:59,810 --> 00:26:08,330
+خمسة على إيه، صح؟ على جذر إيه؟ بغت خمسة ثلاثة
+
+188
+00:26:08,330 --> 00:26:17,830
+ثلاثة على جذر الـ A. هو طبعاً... هاي أوميغا اثنين مش
+
+189
+00:26:17,830 --> 00:26:32,660
+بالساوي، نعم؟ طيب احسبيها كمان مرة. ايدها تسعة
+
+190
+00:26:32,660 --> 00:26:36,720
+بون ثمانية صفر
+
+191
+00:26:36,720 --> 00:26:37,180
+ستة
+
+192
+00:26:54,110 --> 00:27:07,610
+اثنين فاصلة سبعة ثمانية ثمانية على جذر الـ A، صح؟ هذا
+
+193
+00:27:07,610 --> 00:27:15,7
+
+223
+00:31:00,420 --> 00:31:07,140
+طيب هعطيكوا تاملوا على Adams نفس
+
+224
+00:31:07,140 --> 00:31:26,080
+المسألة تماما نفسها تماما بس هتكون هتكون
+
+225
+00:31:26,080 --> 00:31:29,840
+القطعة جاي زي هيك
+
+226
+00:31:38,170 --> 00:31:46,970
+اعتبروا هذه مثلا أربعة صنطة هذه
+
+227
+00:31:46,970 --> 00:31:55,170
+مثلا عشرين صنطة
+
+228
+00:31:55,170 --> 00:32:03,230
+و أنا عندي هنا الحافة هذه الزاوية theta
+
+229
+00:32:10,670 --> 00:32:16,090
+و هاد السرعة V1
+
+230
+00:32:16,090 --> 00:32:20,070
+اللي
+
+231
+00:32:20,070 --> 00:32:35,930
+لو فيه اسمه يعني ايه نحكي play with تنين theta and
+
+232
+00:32:35,930 --> 00:32:38,710
+V1
+
+233
+00:32:45,920 --> 00:32:55,540
+طب كل ما كبرت زوج كل مكان أسهل آه هاد ايه؟
+
+234
+00:32:55,540 --> 00:33:09,660
+اعملهم ايه
+
+235
+00:33:09,660 --> 00:33:10,920
+كام تخدمي معاك و اجيت يعني؟
+
+236
+00:33:17,860 --> 00:33:25,480
+ده نص يعني ساعة اعتبر ساعتين يعني الديوت
+
+237
+00:33:25,480 --> 00:33:32,900
+بيبعتوليها يوم التاشر تلاتة
+
+238
+00:33:32,900 --> 00:33:39,640
+الاربع اللي هو واحد تلاتة خمسة
+
+239
+00:33:39,640 --> 00:33:44,060
+عشرين تلاتة وعشرين
+
+240
+00:34:15,510 --> 00:34:26,340
+طبعا في تصادمين هيكون as a function of
+
+241
+00:34:26,340 --> 00:34:29,380
+theta
+
+242
+00:34:29,380 --> 00:34:34,260
+و
+
+243
+00:34:34,260 --> 00:34:42,160
+V واحد هو هيبدأ يدور يعني
+
+244
+00:34:42,160 --> 00:34:46,460
+عشان يكون يدور لازم القطر تبعه
+
+245
+00:34:49,760 --> 00:34:59,220
+فنحكي هذه القطار؟
+
+246
+00:34:59,220 --> 00:35:03,240
+نعم
+
+247
+00:35:03,240 --> 00:35:13,880
+مش
+
+248
+00:35:13,880 --> 00:35:17,060
+منتظر هيكون طبعا، هتلف هذه، هذه هتصير عمودية
+
+249
+00:35:30,580 --> 00:35:39,540
+يعني اشي زي هيك خلّي
+
+250
+00:35:39,540 --> 00:35:47,800
+البعد الثالث تبعه أربعين
+
+251
+00:35:47,800 --> 00:35:48,200
+صمت
+
+252
+00:36:01,690 --> 00:36:06,110
+انت برضه شوف ليه ما زال صارت ال theta ال V واحد
+
+253
+00:36:06,110 --> 00:36:17,010
+input هتصير هذه ال V و ال Omega V تلاتة و ال Omega
+
+254
+00:36:17,010 --> 00:36:18,690
+تلاتة اللي هو output
+
+255
+00:36:34,490 --> 00:36:46,770
+أطول عليها هيكون الدرجات خمسة
+
+256
+00:36:46,770 --> 00:36:56,870
+سنوات في المليون في
+
+257
+00:36:56,870 --> 00:37:05,020
+أي سؤال؟ طيب نحكي هادي طبعا نهاية المساق بنكمل فيه
+
+258
+00:37:05,020 --> 00:37:09,180
+شغلات إضافية في ال dynamics هنكملها في مادة نظرية
+
+259
+00:37:09,180 --> 00:37:13,820
+الألات بس احنا بشكل أساسي خلصنا ال course طبقا
+
+260
+00:37:13,820 --> 00:37:17,100
+للمعايير العالمية، أعطيكوا العفو
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uJB1bY1W5qM_raw.json b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uJB1bY1W5qM_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..f5bfea8679065b1bda8dd3f0883bdae29ec6c138
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uJB1bY1W5qM_raw.json
@@ -0,0 +1 @@
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"probability": 0.890380859375}, {"start": 2147.8, "end": 2148.2, "word": " صمت", "probability": 0.6867268880208334}], "temperature": 1.0}, {"id": 70, "seek": 217869, "start": 2161.69, "end": 2178.69, "text": "انت برضه شوف ليه ما زال صارت ال theta ال V واحد input هتصير هذه ال V و ال Omega V تلاتة و ال Omega تلاتة اللي هو output", "tokens": [7649, 2655, 4724, 43042, 3224, 13412, 38688, 32239, 3224, 19446, 30767, 6027, 20328, 9640, 2655, 2423, 9725, 2423, 691, 36764, 24401, 4846, 8032, 2655, 9381, 13546, 29538, 2423, 691, 4032, 2423, 27645, 691, 6055, 1211, 9307, 3660, 4032, 2423, 27645, 6055, 1211, 9307, 3660, 13672, 1829, 31439, 5598], "avg_logprob": -0.23469387268533512, "compression_ratio": 1.4031007751937985, "no_speech_prob": 0.0, "words": [{"start": 2161.69, "end": 2162.05, "word": "انت", "probability": 0.865966796875}, {"start": 2162.05, "end": 2162.43, "word": " برضه", "probability": 0.9763997395833334}, {"start": 2162.43, "end": 2162.79, "word": " شوف", "probability": 0.9619140625}, {"start": 2162.79, "end": 2163.61, "word": " ليه", "probability": 0.971435546875}, {"start": 2163.61, "end": 2164.25, "word": " ما", "probability": 0.4248046875}, {"start": 2164.25, "end": 2164.47, "word": " زال", "probability": 0.97021484375}, {"start": 2164.47, "end": 2164.85, "word": " صارت", "probability": 0.7374674479166666}, {"start": 2164.85, "end": 2165.49, "word": " ال", "probability": 0.93798828125}, {"start": 2165.49, "end": 2165.73, "word": " theta", "probability": 0.6123046875}, {"start": 2165.73, "end": 2165.89, "word": " ال", "probability": 0.327392578125}, {"start": 2165.89, "end": 2165.95, "word": " V", "probability": 0.71728515625}, {"start": 2165.95, "end": 2166.11, "word": " واحد", "probability": 0.7003173828125}, {"start": 2166.11, "end": 2166.59, "word": " input", "probability": 0.978515625}, {"start": 2166.59, "end": 2168.21, "word": " هتصير", "probability": 0.7713623046875}, {"start": 2168.21, "end": 2168.59, "word": " هذه", "probability": 0.486328125}, {"start": 2168.59, "end": 2171.27, "word": " ال", "probability": 0.8642578125}, {"start": 2171.27, "end": 2171.53, "word": " V", "probability": 0.9775390625}, {"start": 2171.53, "end": 2172.67, "word": " و", "probability": 0.8447265625}, {"start": 2172.67, "end": 2172.79, "word": " ال", "probability": 0.783203125}, {"start": 2172.79, "end": 2173.09, "word": " Omega", "probability": 0.4853515625}, {"start": 2173.09, "end": 2175.19, "word": " V", "probability": 0.94677734375}, {"start": 2175.19, "end": 2175.83, "word": " تلاتة", "probability": 0.8875732421875}, {"start": 2175.83, "end": 2176.69, "word": " و", "probability": 0.939453125}, {"start": 2176.69, "end": 2176.77, "word": " ال", "probability": 0.71240234375}, {"start": 2176.77, "end": 2177.01, "word": " Omega", "probability": 0.89013671875}, {"start": 2177.01, "end": 2177.77, "word": " تلاتة", "probability": 0.9775390625}, {"start": 2177.77, "end": 2178.13, "word": " اللي", "probability": 0.96142578125}, {"start": 2178.13, "end": 2178.25, "word": " هو", "probability": 0.94970703125}, {"start": 2178.25, "end": 2178.69, "word": " output", "probability": 0.95361328125}], "temperature": 1.0}, {"id": 71, "seek": 221759, "start": 2194.49, "end": 2217.59, "text": "أطول عليها هيكون الدرجات خمس سنوات في الميليون في أي سؤال؟", "tokens": [10721, 9566, 12610, 25894, 11296, 39896, 30544, 32748, 47341, 9307, 16490, 2304, 3794, 8608, 1863, 2407, 9307, 8978, 9673, 1829, 20292, 11536, 8978, 36632, 8608, 33604, 6027, 22807], "avg_logprob": -0.3644935468147541, "compression_ratio": 1.2325581395348837, "no_speech_prob": 0.0, "words": [{"start": 2194.49, "end": 2194.89, "word": "أطول", "probability": 0.9376627604166666}, {"start": 2194.89, "end": 2195.13, "word": " عليها", "probability": 0.56658935546875}, {"start": 2195.13, "end": 2195.31, "word": " هيكون", "probability": 0.580810546875}, {"start": 2195.31, "end": 2196.01, "word": " الدرجات", "probability": 0.98095703125}, {"start": 2196.01, "end": 2206.77, "word": " خمس", "probability": 0.8214518229166666}, {"start": 2206.77, "end": 2207.15, "word": " سنوات", "probability": 0.80108642578125}, {"start": 2207.15, "end": 2208.81, "word": " في", "probability": 0.394775390625}, {"start": 2208.81, "end": 2210.33, "word": " الميليون", "probability": 0.487548828125}, {"start": 2210.33, "end": 2216.87, "word": " في", "probability": 0.7177734375}, {"start": 2216.87, "end": 2217.03, "word": " أي", "probability": 0.390869140625}, {"start": 2217.03, "end": 2217.59, "word": " سؤال؟", "probability": 0.9688720703125}], "temperature": 1.0}, {"id": 72, "seek": 223710, "start": 2219.62, "end": 2237.1, "text": "طيب نحكي هادي طبعا نهاية المساق بنكمل فيه شغلات إضافية في ال dynamics هنكملها في مادة نظرية الألات بس احنا بشكل أساسي خلصنا ال course طبقا للمعايير العالمية، أعطيكوا العفو", "tokens": [9566, 1829, 3555, 8717, 5016, 4117, 1829, 8032, 995, 16254, 23032, 3555, 3615, 995, 8717, 11296, 10632, 9673, 3794, 995, 4587, 44945, 24793, 1211, 8978, 3224, 13412, 17082, 1211, 9307, 11933, 11242, 31845, 10632, 8978, 2423, 15679, 8032, 1863, 24793, 1211, 11296, 8978, 3714, 18513, 3660, 8717, 19913, 2288, 10632, 16247, 1211, 9307, 4724, 3794, 1975, 5016, 8315, 4724, 8592, 28820, 5551, 3794, 32277, 1829, 16490, 1211, 9381, 8315, 2423, 1164, 23032, 3555, 4587, 995, 5296, 19528, 3615, 47302, 13546, 18863, 45340, 10632, 12399, 5551, 3615, 9566, 1829, 4117, 14407, 18863, 5172, 2407], "avg_logprob": -0.15516955468882906, "compression_ratio": 1.5654450261780104, "no_speech_prob": 4.76837158203125e-07, "words": [{"start": 2219.62, "end": 2220.02, "word": "طيب", "probability": 0.98828125}, {"start": 2220.02, "end": 2220.38, "word": " نحكي", "probability": 0.79119873046875}, {"start": 2220.38, "end": 2220.6, "word": " هادي", "probability": 0.7333984375}, {"start": 2220.6, "end": 2220.9, "word": " طبعا", "probability": 0.9556884765625}, {"start": 2220.9, "end": 2221.42, "word": " نهاية", "probability": 0.9280598958333334}, {"start": 2221.42, "end": 2222.72, "word": " المساق", "probability": 0.79010009765625}, {"start": 2222.72, "end": 2224.78, "word": " بنكمل", "probability": 0.9293619791666666}, {"start": 2224.78, "end": 2225.02, "word": " فيه", "probability": 0.773681640625}, {"start": 2225.02, "end": 2225.54, "word": " شغلات", "probability": 0.977294921875}, {"start": 2225.54, "end": 2226.16, "word": " إضافية", "probability": 0.970458984375}, {"start": 2226.16, "end": 2226.32, "word": " في", "probability": 0.97998046875}, {"start": 2226.32, "end": 2226.38, "word": " ال", "probability": 0.97021484375}, {"start": 2226.38, "end": 2226.7, "word": " dynamics", "probability": 0.873046875}, {"start": 2226.7, "end": 2227.76, "word": " هنكملها", "probability": 0.918359375}, {"start": 2227.76, "end": 2227.92, "word": " في", "probability": 0.9501953125}, {"start": 2227.92, "end": 2228.38, "word": " مادة", "probability": 0.9651692708333334}, {"start": 2228.38, "end": 2229.18, "word": " نظرية", "probability": 0.97216796875}, {"start": 2229.18, "end": 2230.04, "word": " الألات", "probability": 0.7332356770833334}, {"start": 2230.04, "end": 2230.26, "word": " بس", "probability": 0.946533203125}, {"start": 2230.26, "end": 2230.44, "word": " احنا", "probability": 0.8893229166666666}, {"start": 2230.44, "end": 2230.8, "word": " بشكل", "probability": 0.98779296875}, {"start": 2230.8, "end": 2231.58, "word": " أساسي", "probability": 0.9705810546875}, {"start": 2231.58, "end": 2232.5, "word": " خلصنا", "probability": 0.9918212890625}, {"start": 2232.5, "end": 2232.74, "word": " ال", "probability": 0.97412109375}, {"start": 2232.74, "end": 2233.2, "word": " course", "probability": 0.98193359375}, {"start": 2233.2, "end": 2233.82, "word": " طبقا", "probability": 0.9737548828125}, {"start": 2233.82, "end": 2234.72, "word": " للمعايير", "probability": 0.8388671875}, {"start": 2234.72, "end": 2235.88, "word": " العالمية،", "probability": 0.8173828125}, {"start": 2235.88, "end": 2236.84, "word": " أعطيكوا", "probability": 0.6767781575520834}, {"start": 2236.84, "end": 2237.1, "word": " العفو", "probability": 0.8815104166666666}], "temperature": 1.0}], "language": "ar", "language_probability": 1.0, "duration": 2238.032, "duration_after_vad": 1862.7693749999949}
\ No newline at end of file
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uJgh7_2bOUY_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uJgh7_2bOUY_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..4eb4fc163725f48dd6836d7f8bb79a7c7dac1ca0
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uJgh7_2bOUY_postprocess.srt
@@ -0,0 +1,1416 @@
+1
+00:00:05,040 --> 00:00:07,780
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,780 --> 00:00:12,380
+وبركاته اليوم هنكمل في مادة ال dynamics المحاضرات
+
+3
+00:00:12,380 --> 00:00:15,480
+الفاترة بدأنا نحكي عن kinematics of rigid bodies
+
+4
+00:00:15,480 --> 00:00:19,920
+حكينا عن أنواع الحركة الحركة الانتقالية الحركة حول
+
+5
+00:00:19,920 --> 00:00:25,600
+المحور ثابت ال general plan motion عملنا velocity
+
+6
+00:00:25,600 --> 00:00:28,340
+analysis أخدنا نقطتين على rigid body حكينا مثلا
+
+7
+00:00:28,340 --> 00:00:33,340
+VBA بساوية او VB بساوية VA زي VBA يعني قسمنا
+
+8
+00:00:33,340 --> 00:00:38,360
+الحركة لجزينةجزء انتقال وجزء دوراني بعدين عملنا
+
+9
+00:00:38,360 --> 00:00:41,880
+acceleration analysis حكينا .. خدنا نقطتين على
+
+10
+00:00:41,880 --> 00:00:48,900
+الجسم rigid body حكينا a b بيساوة a a زاد a b a ال
+
+11
+00:00:48,900 --> 00:00:52,880
+a b a هيكون جزء اللي هي normal component a b a
+
+12
+00:00:52,880 --> 00:00:57,620
+normal وفيه اندي a b a tangential حلينا examples
+
+13
+00:00:57,620 --> 00:01:01,280
+اليوم هنكمل ال example بعدين نخش على section جديد
+
+14
+00:01:01,280 --> 00:01:05,170
+محطرة فات حلينا example تاع ال slotted crankالـ
+
+15
+00:01:05,170 --> 00:01:13,610
+acceleration اليوم هنكمل و نحل مثال تاني في عندي
+
+16
+00:01:13,610 --> 00:01:18,630
+four bar linkage متكونة من الأرض اللي هو ثابت عندي
+
+17
+00:01:18,630 --> 00:01:23,870
+link AB و link BD و link DA في الوضع اللي احنا
+
+18
+00:01:23,870 --> 00:01:28,930
+شايفينه كانت ال crank AB تدور بسرعة زاوية عشرين
+
+19
+00:01:28,930 --> 00:01:35,250
+radians لكل second بعكس عقارب الساعةDetermine the
+
+20
+00:01:35,250 --> 00:01:38,130
+angular velocities and angular accelerations of
+
+21
+00:01:38,130 --> 00:01:44,370
+the connecting rod PD والدي إيه؟ تبتد أنه مش هتحسس
+
+22
+00:01:44,370 --> 00:01:49,690
+السرعة الزاوية والعجلة الزاوية لل link PD وال link
+
+23
+00:01:49,690 --> 00:01:57,410
+DE طيب زي ما أنتوا شايفيني الميكانزم متكون من أربع
+
+24
+00:01:57,410 --> 00:02:01,930
+linkات الأرض link fixed and link AB link PD و link
+
+25
+00:02:02,610 --> 00:02:09,710
+DE ال link AB بتدور بسرعة الزاوية Omega AB
+
+26
+00:02:09,710 --> 00:02:19,690
+بتساوي عشرين radians per second مظبوط عشرين
+
+27
+00:02:19,690 --> 00:02:29,650
+radians per second بعكس عقارب الساعة أولش هنعمل
+
+28
+00:02:29,650 --> 00:02:30,730
+ballistic analysis
+
+29
+00:02:34,730 --> 00:02:39,990
+الان نقطة بي واقع على ال link a بمعنى انها ستكون
+
+30
+00:02:39,990 --> 00:02:46,330
+صارعة هذا
+
+31
+00:02:46,330 --> 00:02:53,930
+دي ايش VB الان
+
+32
+00:02:53,930 --> 00:03:00,670
+خليني احسن الزوايا أولا نحكي هذا دي ايش ثيتا ثيتا
+
+33
+00:03:00,670 --> 00:03:01,370
+ايش الصعب؟
+
+34
+00:03:06,300 --> 00:03:11,980
+تان انفرس اربعتاش على تمانية مظبوط تان انفرس
+
+35
+00:03:11,980 --> 00:03:15,420
+اربعتاش
+
+36
+00:03:15,420 --> 00:03:21,480
+على تمانية اكم
+
+37
+00:03:21,480 --> 00:03:25,300
+تطلع
+
+38
+00:03:25,300 --> 00:03:31,780
+اكم
+
+39
+00:03:31,780 --> 00:03:39,020
+تطلع الزاوية بديها degreesطبعا في مية و تمانية على
+
+40
+00:03:39,020 --> 00:03:45,760
+باى ستين
+
+41
+00:03:45,760 --> 00:03:50,140
+و أربعة ستين
+
+42
+00:03:50,140 --> 00:03:58,020
+و خمس و عشر و ست و عشر طيب الزاوية بيه تاشو
+
+43
+00:03:58,020 --> 00:04:02,040
+الساوية تان
+
+44
+00:04:02,040 --> 00:04:02,560
+انفرس
+
+45
+00:04:07,080 --> 00:04:17,440
+اللي هي تلاتة عال اتناش صح؟ اربعة
+
+46
+00:04:17,440 --> 00:04:23,960
+بالظبط فاصلة سفر ثلاثة ستة و فاصلة سفر؟ اه ثلاثة
+
+47
+00:04:23,960 --> 00:04:29,160
+ستة ماشي الزاوية
+
+48
+00:04:29,160 --> 00:04:32,640
+هذه خمسة
+
+49
+00:04:32,640 --> 00:04:36,340
+و خمسة و أربعين five خمسة و خمسة و أربعين صح؟
+
+50
+00:04:46,420 --> 00:04:51,560
+معناته VB إيش وساوة قيمتها VB
+
+51
+00:04:51,560 --> 00:05:02,060
+بالساوية Omega AB في A B صح مظبوط Omega AB اللي هي
+
+52
+00:05:02,060 --> 00:05:06,380
+عشرين فيه
+
+53
+00:05:06,380 --> 00:05:13,640
+A B إيش قيمته الساوية يعني
+
+54
+00:05:13,640 --> 00:05:18,390
+ده حكاية عن ال A B2 جزر التربيعي بالسواء جزر
+
+55
+00:05:18,390 --> 00:05:34,750
+التربيعي ل 8 تربيع زيد 14 تربيعي 16.125 انش
+
+56
+00:05:34,750 --> 00:05:40,230
+وما تلاحظوا في 16.125
+
+57
+00:05:40,230 --> 00:05:43,490
+هنا هتكون
+
+58
+00:05:46,150 --> 00:05:56,830
+صفر خمسة اتنين اتنين تلاتة فيه
+
+59
+00:05:56,830 --> 00:06:01,010
+كمان اياش تلات مية و اتنين و اتنين و اتنين و نص
+
+60
+00:06:01,010 --> 00:06:05,710
+تلات مية و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+61
+00:06:05,710 --> 00:06:09,210
+نص انش per second
+
+62
+00:06:14,050 --> 00:06:21,470
+ال Vb معناته ك vector هتكون تلت مية و اتنين و
+
+63
+00:06:21,470 --> 00:06:29,470
+عشرين و نص انش per second و
+
+64
+00:06:29,470 --> 00:06:37,930
+بتعمل زاوية مع الرأس اللي
+
+65
+00:06:37,930 --> 00:06:41,130
+هي ستين
+
+66
+00:06:44,530 --> 00:06:54,130
+لأن VB عمودي على AB طيب
+
+67
+00:06:54,130 --> 00:07:03,250
+VD عارفين قيمتها لحد
+
+68
+00:07:03,250 --> 00:07:11,950
+تلان لأ لكن عارفين اتجاهها نبدأ نعرف اتجاهها VD
+
+69
+00:07:15,150 --> 00:07:23,450
+هتكون عمودي على دي ايه صح ا
+
+70
+00:07:23,450 --> 00:07:27,570
+دي VD
+
+71
+00:07:27,570 --> 00:07:36,550
+لان VD انا عارف اتجاهها لحد تلان بس مش عارف مش
+
+72
+00:07:36,550 --> 00:07:44,520
+عارف قيمتها صح؟معناته VDك vector بقيمتها V دي
+
+73
+00:07:44,520 --> 00:07:53,280
+whatever وبتعمل زاوية 45
+
+74
+00:07:53,280 --> 00:07:57,480
+مع الأفوقة اللي
+
+75
+00:07:57,480 --> 00:07:57,920
+هي 45
+
+76
+00:08:17,460 --> 00:08:27,300
+معناة ممكن اخد ال link BD لاحظوا VB بتسويش VD لا
+
+77
+00:08:27,300 --> 00:08:32,320
+بالاتجاه ولا بالقيمة معناة فهي ال general plan
+
+78
+00:08:32,320 --> 00:08:36,820
+motion general plan motion حاجة احكي ان هاي ال
+
+79
+00:08:36,820 --> 00:08:45,360
+link في
+
+80
+00:08:45,360 --> 00:08:45,700
+عندي
+
+81
+00:08:51,190 --> 00:09:04,770
+هي VD و بتعمل زاوية 45 بتساوي هعمل جزء rotation و
+
+82
+00:09:04,770 --> 00:09:14,090
+جزء translation هتكون تساوي VB
+
+83
+00:09:22,160 --> 00:09:34,720
+يعني translation with ب زاد طبعا هذه ب هذه دي هذه
+
+84
+00:09:34,720 --> 00:09:42,120
+ب هذه دي زاد rotation
+
+85
+00:09:42,120 --> 00:09:45,320
+about ب
+
+86
+00:09:58,110 --> 00:10:07,490
+هتكون عمودية هاي B هاي D VD
+
+87
+00:10:07,490 --> 00:10:13,390
+بالنسبة ل B عمودية
+
+88
+00:10:13,390 --> 00:10:22,170
+على BD معناته بتعمل زوايا مع الرأس اللي
+
+89
+00:10:22,170 --> 00:10:22,510
+هي
+
+90
+00:10:33,830 --> 00:10:41,410
+اربعتاش يعني ممكن احكي VD اللي
+
+91
+00:10:41,410 --> 00:10:51,150
+بتعمل زاوية خمس واربعين بالساوية
+
+92
+00:10:51,150 --> 00:10:53,350
+VB
+
+93
+00:10:56,890 --> 00:11:05,730
+اللي بتعمل زاوية ستين مع
+
+94
+00:11:05,730 --> 00:11:14,770
+الرأس زائد VdV اللي
+
+95
+00:11:14,770 --> 00:11:23,750
+بتعمل زاوية اربعتاش
+
+96
+00:11:23,750 --> 00:11:24,330
+مع الرأس
+
+97
+00:11:31,180 --> 00:11:39,160
+VDP ايش تساوي بس
+
+98
+00:11:39,160 --> 00:11:45,880
+اميجا PD في
+
+99
+00:11:45,880 --> 00:11:56,580
+اللي هي PD صح بتساوي اه PD احنا مش عارفين قيمتها
+
+100
+00:12:00,360 --> 00:12:02,980
+PD بيساوي جزر التربيع لتلات تربيع زي اتناش تربيع
+
+101
+00:12:02,980 --> 00:12:08,600
+صح PD بيساوي
+
+102
+00:12:08,600 --> 00:12:17,160
+جزر التربيع لتلات تربيع زي اتناش تربيع بتساوي
+
+103
+00:12:17,160 --> 00:12:20,820
+اتناش
+
+104
+00:12:20,820 --> 00:12:29,760
+فاصلة تلات سبعة كم هو الرقم انش
+
+105
+00:12:32,620 --> 00:12:39,140
+معنى ان انا هضرب في ايش بيصير اتناش فاصلة تلاتة
+
+106
+00:12:39,140 --> 00:12:54,720
+سبعة Omega BD يعني
+
+107
+00:12:54,720 --> 00:12:57,340
+احنا VD هذه بتستخدم
+
+108
+00:13:02,800 --> 00:13:05,280
+Vb احنا عارفين قيمته هي تلاتينية و اتنين و عشرين و
+
+109
+00:13:05,280 --> 00:13:10,740
+نص انش
+
+110
+00:13:10,740 --> 00:13:17,960
+per second بتعمل زاوية ستين
+
+111
+00:13:17,960 --> 00:13:21,400
+زائد
+
+112
+00:13:21,400 --> 00:13:30,940
+Vdb هي اتناش point تلاتة سبعة omega Vd
+
+113
+00:13:34,440 --> 00:13:44,640
+وبتعمل زاوية اربعتاش
+
+114
+00:13:44,640 --> 00:13:52,120
+مع الرأس يعني
+
+115
+00:13:52,120 --> 00:14:01,280
+هنا عندي VD بتعمل زاوية خمس
+
+116
+00:14:01,280 --> 00:14:01,740
+واربع يعني
+
+117
+00:14:20,750 --> 00:14:26,890
+طيب انا بستخدم المثلثات او بستخدم x component او y
+
+118
+00:14:26,890 --> 00:14:30,950
+component بستخدم مثلث حاجة احكي هي
+
+119
+00:14:40,960 --> 00:14:52,700
+هذه خمسة واربعين درجة هذه هتكون VD VD
+
+120
+00:14:52,700 --> 00:14:55,420
+بالسواء VB هتكون
+
+121
+00:15:05,540 --> 00:15:08,880
+V تعمل مع الرأس ستين معناه معروف في الكلش تعمل
+
+122
+00:15:08,880 --> 00:15:14,820
+تلاتين يعني هتكون تلاتين
+
+123
+00:15:14,820 --> 00:15:21,400
+و
+
+124
+00:15:21,400 --> 00:15:32,620
+VDP مع الرأس تعمل
+
+125
+00:15:32,620 --> 00:15:33,060
+زاوية
+
+126
+00:15:35,760 --> 00:15:50,040
+اربعتاش صح؟ هذه هي VD سوى VB هي VB وهذه
+
+127
+00:15:50,040 --> 00:15:55,360
+VDB هذه VDB
+
+128
+00:16:15,390 --> 00:16:25,190
+طيب هذه الزاوية هذه خمس واربعين صح؟ مظبوط و هذه
+
+129
+00:16:25,190 --> 00:16:34,210
+أكم؟ أربعة عشر صح؟ معنى الزاوية هذه أكم؟ مية و
+
+130
+00:16:34,210 --> 00:16:40,950
+تمانين ناقص خمس واربعين ناقص تلاتين ناقص خمس
+
+131
+00:16:40,950 --> 00:16:43,770
+واربعين ناقص أربعة عشر صح؟يعني مية و تمانية ناقص
+
+132
+00:16:43,770 --> 00:16:50,470
+تسعين تسعين تسعين ناقص تلاتين ستين ناقص اربع اتاش
+
+133
+00:16:50,470 --> 00:16:55,450
+ست و اربعين ست و اربعين يعني هذا هتكون ست و اربعين
+
+134
+00:16:55,450 --> 00:17:04,150
+درجة هحكي
+
+135
+00:17:04,150 --> 00:17:07,030
+VDP V هستخدم ال sign low
+
+136
+00:17:12,010 --> 00:17:16,470
+كانت VDP على
+
+137
+00:17:16,470 --> 00:17:21,070
+sign خمس
+
+138
+00:17:21,070 --> 00:17:27,090
+سبعين زائد تلاتين خمس سبعين صح؟
+
+139
+00:17:27,090 --> 00:17:34,310
+بالساوي VB على
+
+140
+00:17:34,310 --> 00:17:38,330
+sign خمساش
+
+141
+00:17:38,330 --> 00:17:40,070
+زائد اربعتاش تسعة و خمسين
+
+142
+00:17:43,300 --> 00:17:49,240
+بتساوي VD على
+
+143
+00:17:49,240 --> 00:18:00,400
+sign 46 معناته
+
+144
+00:18:00,400 --> 00:18:06,940
+VDB هتكون
+
+145
+00:18:06,940 --> 00:18:07,460
+تساوي
+
+146
+00:18:10,500 --> 00:18:15,300
+onvb اللي هي تلتنية و اتنين و عشرين و نص صح تلتنية
+
+147
+00:18:15,300 --> 00:18:23,620
+و اتنين و عشرين و نص في sign الخمسة سبعين على sign
+
+148
+00:18:23,620 --> 00:18:34,500
+التسعة و خمسين اكتبت
+
+149
+00:18:34,500 --> 00:18:35,140
+طلاقة متها
+
+150
+00:18:51,230 --> 00:18:59,390
+هذا ستساوي 12
+
+151
+00:18:59,390 --> 00:19:02,730
+.37
+
+152
+00:19:02,730 --> 00:19:15,890
+Omega BD ومن هنا أخرج Omega BD سواء 334 على 12.37
+
+153
+00:19:21,880 --> 00:19:27,740
+تسع عشرين فاصلة تلات
+
+154
+00:19:27,740 --> 00:19:35,000
+تمانية radian per second الاتجاه بتاعها هكون ايش
+
+155
+00:19:35,000 --> 00:19:43,900
+clockwise هاي كأنه بدور حوالين بيه هتكون clockwise
+
+156
+00:19:48,660 --> 00:19:56,340
+و VD هتساوي
+
+157
+00:19:56,340 --> 00:20:03,380
+VB في صين 46 على صين 95 بالساوية
+
+158
+00:20:03,380 --> 00:20:11,340
+VB اللي هو تلتانية و اتنين و عشرين و نص صين الستة
+
+159
+00:20:11,340 --> 00:20:16,680
+و اربعين على صين
+
+160
+00:20:18,610 --> 00:20:25,690
+التسعة و خمسين اتنين
+
+161
+00:20:25,690 --> 00:20:36,530
+و سبعين point six انش لكل ثانية طب
+
+162
+00:20:36,530 --> 00:20:42,010
+عشان نحسب الانجدر بوليستي لل link دي ايه ممكن
+
+163
+00:20:42,010 --> 00:20:42,530
+نحسبها
+
+164
+00:20:47,580 --> 00:20:57,600
+ما هي ال VDE شو الساوية كمان الساوية omega DE في
+
+165
+00:20:57,600 --> 00:21:01,460
+DE صح طيب
+
+166
+00:21:01,460 --> 00:21:05,820
+نجي نحسب دي اي دي اي هتكون سبعتاش جزر اتنين مظبوط
+
+167
+00:21:05,820 --> 00:21:16,240
+دي اي هتكون الساوية سبعتاش جزر الاتنين اكم تطلع
+
+168
+00:21:23,270 --> 00:21:31,970
+اربع و عشرين بالظبط point 04 اربع و عشرين انش
+
+169
+00:21:31,970 --> 00:21:38,730
+معناته point 04
+
+170
+00:21:38,730 --> 00:21:45,110
+معناته
+
+171
+00:21:45,110 --> 00:21:47,950
+omega دي ايه؟
+
+172
+00:21:53,890 --> 00:22:03,830
+وميجا دي إيه هتكون تساوي اللي هو متين و سبعين
+
+173
+00:22:03,830 --> 00:22:09,230
+point ستة على اربع اشي point اربعة احداش
+
+174
+00:22:09,230 --> 00:22:15,810
+point اتنين ستة radian per second clockwise ولا
+
+175
+00:22:15,810 --> 00:22:20,370
+counter clockwise عكس
+
+176
+00:22:20,370 --> 00:22:21,110
+عقارس يعني
+
+177
+00:22:25,680 --> 00:22:33,080
+هك احنا عملنا velocity analysis طيب
+
+178
+00:22:33,080 --> 00:22:39,060
+نعمل
+
+179
+00:22:39,060 --> 00:22:44,240
+acceleration analysis بس خلينا نحط الشغلات الحسب
+
+180
+00:22:44,240 --> 00:22:48,480
+ده يعني
+
+181
+00:22:48,480 --> 00:22:54,000
+ألخصها هنا ال
+
+182
+00:22:54,000 --> 00:23:03,730
+..ال VB عندي تلاتمية و اتنين و عشرين و نص انش per
+
+183
+00:23:03,730 --> 00:23:14,190
+second و تماما مع الرأس ستين
+
+184
+00:23:14,190 --> 00:23:14,610
+درجة
+
+185
+00:23:25,500 --> 00:23:30,400
+و VD بتساوي
+
+186
+00:23:30,400 --> 00:23:33,420
+متين
+
+187
+00:23:33,420 --> 00:23:46,840
+و سبعين point six inch per second بتعمل زاوية خمسة
+
+188
+00:23:46,840 --> 00:23:47,260
+و أربعين
+
+189
+00:23:56,180 --> 00:24:01,720
+عندي AB و BD هين بحط الأطوال عندي اتناش point
+
+190
+00:24:01,720 --> 00:24:11,400
+تلاتة سبعة انش و
+
+191
+00:24:11,400 --> 00:24:17,340
+Omega BD بتساوي
+
+192
+00:24:17,340 --> 00:24:24,840
+تسعة عشرين point تلاتة تمانية radian per second
+
+193
+00:24:27,520 --> 00:24:40,220
+باتجاه عقارب الساعة و omega DE بتساوي 11.26 radian
+
+194
+00:24:40,220 --> 00:24:49,560
+per second بعكس عقارب الساعة و
+
+195
+00:24:49,560 --> 00:24:53,440
+DE بتساوي
+
+196
+00:24:53,440 --> 00:24:56,320
+24.04
+
+197
+00:24:58,180 --> 00:24:58,640
+inch
+
+198
+00:25:28,540 --> 00:25:41,360
+لان انا هنعمل acceleration analysis لان
+
+199
+00:25:41,360 --> 00:25:48,340
+ال link AB ال link AB بدول سرعة زاوية منتظمة
+
+200
+00:25:48,340 --> 00:25:53,200
+قيمتها اللي هي عشرين radian per second يعني ال
+
+201
+00:25:53,200 --> 00:25:56,400
+alpha بتاعتها ايش بالساوية صفر يعني اذا كان ال
+
+202
+00:25:56,400 --> 00:25:57,320
+alpha AB
+
+203
+00:26:01,220 --> 00:26:09,140
+الألفة AB بيساوي صفر المعنى هو ال acceleration عند
+
+204
+00:26:09,140 --> 00:26:13,740
+B المفروض يكون عندي AB normal أو AB tangential صح؟
+
+205
+00:26:13,740 --> 00:26:19,600
+ال AB tangential سواء ألفة في ال R والألفة بتاعة
+
+206
+00:26:19,600 --> 00:26:22,720
+AB صفر المعنى هو ال AB
+
+207
+00:26:28,140 --> 00:26:33,080
+الالف ال ال a,b ك
+
+208
+00:26:33,080 --> 00:26:45,840
+vector سواء a,b normal زاد a,b tangential واحنا
+
+209
+00:26:45,840 --> 00:26:51,680
+حاكينا a,b tangential بالسواء صفر لأن ال alpha
+
+210
+00:26:51,680 --> 00:26:53,200
+بالسواء صفر
+
+211
+00:26:57,150 --> 00:27:00,590
+هتكون تستوى AB Normal AB Normal هي هتكون في اتجاه
+
+212
+00:27:00,590 --> 00:27:08,290
+من B ل A في اتجاه من B ل A و قيمتها بالستوى Omega
+
+213
+00:27:08,290 --> 00:27:19,850
+تربيع AB في AB و اتجاهها الزاوية
+
+214
+00:27:19,850 --> 00:27:23,410
+اكم ستين
+
+215
+00:27:23,410 --> 00:27:34,800
+point تلاتةستين point تلاتة degrees هتساوي omega
+
+216
+00:27:34,800 --> 00:27:42,100
+AB اللي هي عشرين تربية في
+
+217
+00:27:42,100 --> 00:27:46,640
+ال AB ستاش
+
+218
+00:27:46,640 --> 00:27:55,890
+point واحد اتنين خمسةيعني تلات مائة و اتنين و
+
+219
+00:27:55,890 --> 00:27:59,490
+اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+220
+00:27:59,490 --> 00:28:04,730
+اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+221
+00:28:04,730 --> 00:28:05,910
+اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+222
+00:28:05,910 --> 00:28:10,310
+اتنين و اتنين و اتنين و اتنين
+
+223
+00:28:10,310 --> 00:28:12,110
+و اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+224
+00:28:12,110 --> 00:28:14,130
+اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+225
+00:28:14,130 --> 00:28:15,530
+اتنين و اتنين و
+
+226
+00:28:23,070 --> 00:28:29,830
+ستين و تلاتة من عشرة ديجريز ها
+
+227
+00:28:29,830 --> 00:28:38,770
+دياش ال A,B لان
+
+228
+00:28:38,770 --> 00:28:46,770
+حدرس ال rigid body بي دي بي دي لان لا يعني ان ال A
+
+229
+00:28:46,770 --> 00:28:50,900
+,B بتحرك بسرعة زي ما هو منتظمإن بي دي بتحرك بسرعة
+
+230
+00:28:50,900 --> 00:28:54,440
+زي المنظمة يعني هكون له alpha و دي ايه هكون له
+
+231
+00:28:54,440 --> 00:29:02,360
+alpha الان النقطة دي الها two components انا حكيت
+
+232
+00:29:02,360 --> 00:29:08,460
+ال a,b هاي ال a,b
+
+233
+00:29:08,460 --> 00:29:14,860
+هاي
+
+234
+00:29:14,860 --> 00:29:19,630
+ال a,bال دي هكون two components واحدة normal
+
+235
+00:29:19,630 --> 00:29:25,830
+component هد ا دي normal ا
+
+236
+00:29:25,830 --> 00:29:31,910
+دي normal او ا دي tangential حسب اتجاه الف انا مش
+
+237
+00:29:31,910 --> 00:29:35,690
+عارف يمكن تكون بهذا الاتجاه او بهذا الاتجاه هتكون
+
+238
+00:29:35,690 --> 00:29:39,430
+عمودية هعندي
+
+239
+00:29:39,430 --> 00:29:42,490
+ا دي tangential
+
+240
+00:29:49,000 --> 00:29:59,520
+معناته هتكون عنده ال a دي ك vector او ال a دي
+
+241
+00:29:59,520 --> 00:30:09,760
+normal اللي فيه تجاه من d ل a تعمل زاوية خمس
+
+242
+00:30:09,760 --> 00:30:15,520
+و أربعين زائد a d tangential
+
+243
+00:30:19,700 --> 00:30:25,580
+عمودي عليها هتعمل زاوية خمسة واربعية برضه انا فرحت
+
+244
+00:30:25,580 --> 00:30:40,440
+لتجامكوا ممكن نكون مش صحيحة الفرضية ال
+
+245
+00:30:40,440 --> 00:30:55,920
+a d normal او omega d aتربيع في دي إيه ال
+
+246
+00:30:55,920 --> 00:31:00,320
+Omega دي إيه احنا حسبناها اللي يحداش point اتنين
+
+247
+00:31:00,320 --> 00:31:14,400
+ستة تربيع ال دي إيه هذه دي إيه صح اربع و عشرين
+
+248
+00:31:18,140 --> 00:31:30,680
+مونت او اربعة اكه تطلع تلت تلاف انش
+
+249
+00:31:30,680 --> 00:31:39,080
+per second square وال
+
+250
+00:31:39,080 --> 00:31:49,550
+ا دي tangential بسوء الف د في ديعني هتكون اربعة و
+
+251
+00:31:49,550 --> 00:32:08,590
+عشرين point O اربعة الف دي ايه لان
+
+252
+00:32:08,590 --> 00:32:09,270
+هدرس BD
+
+253
+00:32:22,130 --> 00:32:30,850
+هذه AB والـ
+
+254
+00:32:30,850 --> 00:32:40,470
+AD لها two components هذه AD normal هذه
+
+255
+00:32:40,470 --> 00:32:50,130
+AD tangential هذه خمس واربعينوها دي ايش خمس و
+
+256
+00:32:50,130 --> 00:32:57,790
+أربعين بتساوي في جزء translation with بيه هايكون
+
+257
+00:32:57,790 --> 00:33:02,830
+هاي
+
+258
+00:33:02,830 --> 00:33:12,070
+اي بيه و هاي اي بيه translation with بيه زي ال
+
+259
+00:33:12,070 --> 00:33:13,370
+rotation about بيه
+
+260
+00:33:22,090 --> 00:33:34,530
+هكون هاي a d بالنسبة ل b normal وفي
+
+261
+00:33:34,530 --> 00:33:44,010
+a d بالنسبة ل b tangential هاي a d بالنسبة
+
+262
+00:33:44,010 --> 00:33:54,680
+ل b tangentialهذه بتعمل في الزاوية اربعتاش صح؟
+
+263
+00:33:54,680 --> 00:33:59,020
+وهذه برضه
+
+264
+00:33:59,020 --> 00:34:07,820
+ايش؟ اربعتاش مع الرأس هذه
+
+265
+00:34:07,820 --> 00:34:12,340
+rotation about B
+
+266
+00:34:18,830 --> 00:34:27,290
+طيب حاجة احكي ان اي دي اي اي دي اللي هيبارة عن اي
+
+267
+00:34:27,290 --> 00:34:31,010
+دي اي دي normal زي اي دي tangential يعني اي دي
+
+268
+00:34:31,010 --> 00:34:40,110
+normal و بتعمل زاوية خمسة و أربعين زي
+
+269
+00:34:40,110 --> 00:34:48,170
+اي دي tangential و بتعمل زاوية خمسة و أربعين
+
+270
+00:34:50,220 --> 00:34:58,080
+بالساوية AB اللى
+
+271
+00:34:58,080 --> 00:35:02,280
+بتعمل زاوية ستين
+
+272
+00:35:02,280 --> 00:35:06,600
+و تلاتة زائد
+
+273
+00:35:06,600 --> 00:35:14,660
+AD بالنسبة ل B Normal هاي اتجاهة
+
+274
+00:35:20,970 --> 00:35:28,590
+اربعتاش زائد a d بالنسبة ل b tangential اللى بتعمل
+
+275
+00:35:28,590 --> 00:35:36,590
+مع الرأس اربعتاش
+
+276
+00:35:36,590 --> 00:35:41,990
+خلنا
+
+277
+00:35:41,990 --> 00:35:45,690
+نعود عن a d normal اللى هى تلت تلاف و اتبان و
+
+278
+00:35:45,690 --> 00:35:54,380
+اربعين صح تلت تلافو 48 inch per second square تعمل
+
+279
+00:35:54,380 --> 00:36:00,000
+زاوية خمس و اربعين زائد
+
+280
+00:36:00,000 --> 00:36:05,740
+AD tangential اللي هي اربع و عشرين point oh four
+
+281
+00:36:05,740 --> 00:36:17,080
+alpha DE تعمل زاوية خمس و اربعين زائد
+
+282
+00:36:17,080 --> 00:36:18,240
+بتساوي
+
+283
+00:36:20,670 --> 00:36:27,310
+AB حسبنا AB اللي 6450 6450
+
+284
+00:36:27,310 --> 00:36:36,970
+inch per second square بتعمل زاوية ستين
+
+285
+00:36:36,970 --> 00:36:45,570
+point تلاتة زائد ADP normal اللي
+
+286
+00:36:45,570 --> 00:36:46,250
+هي عبارة عن
+
+287
+00:36:50,560 --> 00:36:54,620
+وميجا سكوير هنعملها
+
+288
+00:36:54,620 --> 00:37:04,840
+هنا ع جنب بدي احكي a d b normal بالسواء
+
+289
+00:37:04,840 --> 00:37:12,840
+اميجا بي دي تربيع في بي دي يعني هتكون اميجا بي دي
+
+290
+00:37:12,840 --> 00:37:17,710
+اللي هي تسعة عشرين point تلات تمانيةتسعة و عشرين
+
+291
+00:37:17,710 --> 00:37:24,410
+point تلت تمانية تربية في BD BD
+
+292
+00:37:24,410 --> 00:37:41,450
+اتناش تلت سبعة و من هنا بحسب ADP normal عشر
+
+293
+00:37:41,450 --> 00:37:44,190
+تلاف ايوة
+
+294
+00:37:47,680 --> 00:37:58,020
+inch per second squared هو ال A دي B tangential
+
+295
+00:37:58,020 --> 00:38:03,140
+بيستوى Alpha BD
+
+296
+00:38:03,140 --> 00:38:12,500
+في BD يعني هتكون تسعة اتناش point تلت سبعة
+
+297
+00:38:15,840 --> 00:38:21,420
+الفا بي دي يعني لما انا اعوض عن ا دي بي normal
+
+298
+00:38:21,420 --> 00:38:26,660
+هتزاد ا دي بي normal اللي هي عشر تلاف و ستمية و
+
+299
+00:38:26,660 --> 00:38:32,880
+سبعة و سبعين تعمل زاوية اربعتاش
+
+300
+00:38:32,880 --> 00:38:40,340
+زاد ا دي بي tangential اللي هي عبارة عن اتناشpoint
+
+301
+00:38:40,340 --> 00:38:49,760
+تلاتة سبعة Alpha BD تعمل مع الرأس اربعتاش
+
+302
+00:38:49,760 --> 00:38:53,300
+هاخد
+
+303
+00:38:53,300 --> 00:38:58,720
+ال X components انا
+
+304
+00:38:58,720 --> 00:39:04,560
+المجهل عندي ايش Alpha DE و Alpha BD هاخد ال X
+
+305
+00:39:04,560 --> 00:39:06,780
+component
+
+306
+00:39:08,900 --> 00:39:18,940
+هك موجب هكون عندى تلت تلاف تمانية و اربعين كوصين
+
+307
+00:39:18,940 --> 00:39:24,820
+الخمس و اربعين زاد
+
+308
+00:39:24,820 --> 00:39:33,480
+اربع و عشرين point O اربعة الف دي اي كوصين الخمس و
+
+309
+00:39:33,480 --> 00:39:37,920
+اربعين بتساوي
+
+310
+00:39:39,930 --> 00:39:47,590
+ناقص ست تلاف و أربعمية و خمسين cosine الستين point
+
+311
+00:39:47,590 --> 00:39:57,950
+تلتة ناقص عشر تلاف و ستمية و سبعة و سبعين cosine
+
+312
+00:39:57,950 --> 00:40:03,110
+الاربعتاش ناقص
+
+313
+00:40:05,120 --> 00:40:15,840
+12.37 Alpha BD Sine 14 هذه المعادلة التانية التي
+
+314
+00:40:15,840 --> 00:40:22,040
+هي ال Y component هعتبر
+
+315
+00:40:22,040 --> 00:40:31,240
+هذا موجب هكون سالب 3048 Sine 45
+
+316
+00:40:35,520 --> 00:40:45,160
+زائد اربع و عشرين point oh four alpha D E sine
+
+317
+00:40:45,160 --> 00:40:54,520
+الخمسة و أربعين بتساوي الناقص ست الف و أربع مية و
+
+318
+00:40:54,520 --> 00:40:55,140
+خمسين
+
+319
+00:40:57,550 --> 00:41:05,130
+Sin ستين minus عشر
+
+320
+00:41:05,130 --> 00:41:16,470
+تلاف ستمية أو سبعة و سبعين Sin أربع تاش زائد اتناش
+
+321
+00:41:16,470 --> 00:41:25,430
+من تلاتة سبعة Alpha BD Cos أربع تاش
+
+322
+00:41:28,520 --> 00:41:39,240
+هذه واحد هذه اتنين solve
+
+323
+00:41:39,240 --> 00:41:46,600
+for
+
+324
+00:41:46,600 --> 00:41:49,760
+alpha
+
+325
+00:41:54,070 --> 00:42:00,130
+و alpha PD هى اللى هو براحتكوا بتضرب واحدة cosine
+
+326
+00:42:00,130 --> 00:42:05,590
+واحدة sine تجمع و تطرح بروح variable طرحناها ان فى
+
+327
+00:42:05,590 --> 00:42:08,810
+cosine 45 و sine 45 تطرح لا لا أنا مابهمنيش هدول
+
+328
+00:42:08,810 --> 00:42:11,790
+بيهمني اللى فيها ال variables هو ال BDE حقها اه
+
+329
+00:42:11,790 --> 00:42:15,290
+يعني هندك هذه ال sine 45 minus 45 خلاص automatic
+
+330
+00:42:15,290 --> 00:42:24,150
+يعني اطرح هذه من هذه بتروح هذه مع هذهأه يعني ممكن
+
+331
+00:42:24,150 --> 00:42:33,510
+احكي subtract two
+
+332
+00:42:33,510 --> 00:42:42,370
+او نحكي واحد ناقص اتنين هي معادلة واحد ناقص اتنين
+
+333
+00:42:42,370 --> 00:42:47,810
+هيعطينا هذا
+
+334
+00:42:47,810 --> 00:42:51,650
+هتكون هد ما هي ال cosine نفس ال sine هتكون تلت تلف
+
+335
+00:42:51,650 --> 00:42:52,450
+و تمانية و اربعين
+
+336
+00:42:56,360 --> 00:43:02,880
+فى اتنين تمنى واربعين ستة وتسعين سفر
+
+337
+00:43:02,880 --> 00:43:11,820
+ستة كوصين الخمس واربعين هذا
+
+338
+00:43:11,820 --> 00:43:15,720
+هتروح مع هذه بتساوي
+
+339
+00:43:25,620 --> 00:43:30,740
+ست الف اربع مية و خمسين في
+
+340
+00:43:30,740 --> 00:43:41,580
+minus cosine الستين و تلاتة زائد sine الستين و
+
+341
+00:43:41,580 --> 00:43:48,300
+تلاتة زائد
+
+342
+00:43:49,920 --> 00:43:56,040
+عشر تلاف و ستمية و سبعة و سبعين في minus cosine
+
+343
+00:43:56,040 --> 00:44:10,660
+الاربعتاش زائد sine الاربعتاش minus
+
+344
+00:44:10,660 --> 00:44:22,760
+اتناش point تلاتة سبعة alpha BDفي sin الاربعتاش
+
+345
+00:44:22,760 --> 00:44:26,060
+زائد
+
+346
+00:44:26,060 --> 00:44:36,260
+cosine الاربعتاش ومنها بتحسب ايش الف بي دي تحسب
+
+347
+00:44:36,260 --> 00:44:43,160
+بعدين
+
+348
+00:44:43,160 --> 00:44:44,640
+بتعود
+
+349
+00:44:51,950 --> 00:44:58,410
+about Alpha BD
+
+350
+00:44:58,410 --> 00:45:06,690
+in واحد او اتنين بتحصل
+
+351
+00:45:06,690 --> 00:45:10,590
+علياش Alpha DE
+
+352
+00:45:14,650 --> 00:45:17,790
+إذا طلعت ال alpha ز موجة بقى حسب ما فرضناها
+
+353
+00:45:17,790 --> 00:45:21,110
+اتجاهات فرضناها بيكون اتجاهها الصح إذا طلعت
+
+354
+00:45:21,110 --> 00:45:24,970
+السيربانات ده بتعكس الاتجاه take one عافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uJgh7_2bOUY_raw.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uJgh7_2bOUY_raw.srt
new file mode 100644
index 0000000000000000000000000000000000000000..3cec587461f2ecb17f3dd3362ae0890df89d7718
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uJgh7_2bOUY_raw.srt
@@ -0,0 +1,1420 @@
+1
+00:00:05,040 --> 00:00:07,780
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,780 --> 00:00:12,380
+وبركاته اليوم هنكمل في مادة ال dynamics المحاضرات
+
+3
+00:00:12,380 --> 00:00:15,480
+الفاترة بدأنا نحكي عن kinematics of rigid bodies
+
+4
+00:00:15,480 --> 00:00:19,920
+حكينا عن أنواع الحركة الحركة الانتقالية الحركة حول
+
+5
+00:00:19,920 --> 00:00:25,600
+المحور ثابت ال general plan motion عملنا velocity
+
+6
+00:00:25,600 --> 00:00:28,340
+analysis أخدنا نقطتين على rigid body حكينا مثلا
+
+7
+00:00:28,340 --> 00:00:33,340
+VBA بساوية او VB بساوية VA زي VBA يعني قسمنا
+
+8
+00:00:33,340 --> 00:00:38,360
+الحركة لجزينةجزء انتقال وجزء دوراني بعدين عملنا
+
+9
+00:00:38,360 --> 00:00:41,880
+acceleration analysis حكينا .. خدنا نقطتين على
+
+10
+00:00:41,880 --> 00:00:48,900
+الجسم rigid body حكينا a b بيساوة a a زاد a b a ال
+
+11
+00:00:48,900 --> 00:00:52,880
+a b a هيكون جزء اللي هي normal component a b a
+
+12
+00:00:52,880 --> 00:00:57,620
+normal وفيه اندي a b a tangential حلينا examples
+
+13
+00:00:57,620 --> 00:01:01,280
+اليوم هنكمل ال example بعدين نخش على section جديد
+
+14
+00:01:01,280 --> 00:01:05,170
+محطرة فات حلينا example تاع ال slotted crankالـ
+
+15
+00:01:05,170 --> 00:01:13,610
+acceleration اليوم هنكمل و نحل مثال تاني في عندي
+
+16
+00:01:13,610 --> 00:01:18,630
+four bar linkage متكونة من الأرض اللي هو ثابت عندي
+
+17
+00:01:18,630 --> 00:01:23,870
+link AB و link BD و link DA في الوضع اللي احنا
+
+18
+00:01:23,870 --> 00:01:28,930
+شايفينه كانت ال crank AB تدور بسرعة زاوية عشرين
+
+19
+00:01:28,930 --> 00:01:35,250
+radians لكل second بعكس عقارب الساعةDetermine the
+
+20
+00:01:35,250 --> 00:01:38,130
+angular velocities and angular accelerations of
+
+21
+00:01:38,130 --> 00:01:44,370
+the connecting rod PD والدي إيه؟ تبتد أنه مش هتحسس
+
+22
+00:01:44,370 --> 00:01:49,690
+السرعة الزاوية والعجلة الزاوية لل link PD وال link
+
+23
+00:01:49,690 --> 00:01:57,410
+DE طيب زي ما أنتوا شايفيني الميكانزم متكون من أربع
+
+24
+00:01:57,410 --> 00:02:01,930
+linkات الأرض link fixed and link AB link PD و link
+
+25
+00:02:02,610 --> 00:02:09,710
+DE ال link AB بتدور بسرعة الزاوية Omega AB
+
+26
+00:02:09,710 --> 00:02:19,690
+بتساوي عشرين radians per second مظبوط عشرين
+
+27
+00:02:19,690 --> 00:02:29,650
+radians per second بعكس عقارب الساعة أولش هنعمل
+
+28
+00:02:29,650 --> 00:02:30,730
+ballistic analysis
+
+29
+00:02:34,730 --> 00:02:39,990
+الان نقطة بي واقع على ال link a بمعنى انها ستكون
+
+30
+00:02:39,990 --> 00:02:46,330
+صارعة هذا
+
+31
+00:02:46,330 --> 00:02:53,930
+دي ايش VB الان
+
+32
+00:02:53,930 --> 00:03:00,670
+خليني احسن الزوايا أولا نحكي هذا دي ايش ثيتا ثيتا
+
+33
+00:03:00,670 --> 00:03:01,370
+ايش الصعب؟
+
+34
+00:03:06,300 --> 00:03:11,980
+تان انفرس اربعتاش على تمانية مظبوط تان انفرس
+
+35
+00:03:11,980 --> 00:03:15,420
+اربعتاش
+
+36
+00:03:15,420 --> 00:03:21,480
+على تمانية اكم
+
+37
+00:03:21,480 --> 00:03:25,300
+تطلع
+
+38
+00:03:25,300 --> 00:03:31,780
+اكم
+
+39
+00:03:31,780 --> 00:03:39,020
+تطلع الزاوية بديها degreesطبعا في مية و تمانية على
+
+40
+00:03:39,020 --> 00:03:45,760
+باى ستين
+
+41
+00:03:45,760 --> 00:03:50,140
+و أربعة ستين
+
+42
+00:03:50,140 --> 00:03:58,020
+و خمس و عشر و ست و عشر طيب الزاوية بيه تاشو
+
+43
+00:03:58,020 --> 00:04:02,040
+الساوية تان
+
+44
+00:04:02,040 --> 00:04:02,560
+انفرس
+
+45
+00:04:07,080 --> 00:04:17,440
+اللي هي تلاتة عال اتناش صح؟ اربعة
+
+46
+00:04:17,440 --> 00:04:23,960
+بالظبط فاصلة سفر ثلاثة ستة و فاصلة سفر؟ اه ثلاثة
+
+47
+00:04:23,960 --> 00:04:29,160
+ستة ماشي الزاوية
+
+48
+00:04:29,160 --> 00:04:32,640
+هذه خمسة
+
+49
+00:04:32,640 --> 00:04:36,340
+و خمسة و أربعين five خمسة و خمسة و أربعين صح؟
+
+50
+00:04:46,420 --> 00:04:51,560
+معناته VB إيش وساوة قيمتها VB
+
+51
+00:04:51,560 --> 00:05:02,060
+بالساوية Omega AB في A B صح مظبوط Omega AB اللي هي
+
+52
+00:05:02,060 --> 00:05:06,380
+عشرين فيه
+
+53
+00:05:06,380 --> 00:05:13,640
+A B إيش قيمته الساوية يعني
+
+54
+00:05:13,640 --> 00:05:18,390
+ده حكاية عن ال A B2 جزر التربيعي بالسواء جزر
+
+55
+00:05:18,390 --> 00:05:34,750
+التربيعي ل 8 تربيع زيد 14 تربيعي 16.125 انش
+
+56
+00:05:34,750 --> 00:05:40,230
+وما تلاحظوا في 16.125
+
+57
+00:05:40,230 --> 00:05:43,490
+هنا هتكون
+
+58
+00:05:46,150 --> 00:05:56,830
+صفر خمسة اتنين اتنين تلاتة فيه
+
+59
+00:05:56,830 --> 00:06:01,010
+كمان اياش تلات مية و اتنين و اتنين و اتنين و نص
+
+60
+00:06:01,010 --> 00:06:05,710
+تلات مية و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+61
+00:06:05,710 --> 00:06:09,210
+نص انش per second
+
+62
+00:06:14,050 --> 00:06:21,470
+ال Vb معناته ك vector هتكون تلت مية و اتنين و
+
+63
+00:06:21,470 --> 00:06:29,470
+عشرين و نص انش per second و
+
+64
+00:06:29,470 --> 00:06:37,930
+بتعمل زاوية مع الرأس اللي
+
+65
+00:06:37,930 --> 00:06:41,130
+هي ستين
+
+66
+00:06:44,530 --> 00:06:54,130
+لأن VB عمودي على AB طيب
+
+67
+00:06:54,130 --> 00:07:03,250
+VD عارفين قيمتها لحد
+
+68
+00:07:03,250 --> 00:07:11,950
+تلان لأ لكن عارفين اتجاهها نبدأ نعرف اتجاهها VD
+
+69
+00:07:15,150 --> 00:07:23,450
+هتكون عمودي على دي ايه صح ا
+
+70
+00:07:23,450 --> 00:07:27,570
+دي VD
+
+71
+00:07:27,570 --> 00:07:36,550
+لان VD انا عارف اتجاهها لحد تلان بس مش عارف مش
+
+72
+00:07:36,550 --> 00:07:44,520
+عارف قيمتها صح؟معناته VDك vector بقيمتها V دي
+
+73
+00:07:44,520 --> 00:07:53,280
+whatever وبتعمل زاوية 45
+
+74
+00:07:53,280 --> 00:07:57,480
+مع الأفوقة اللي
+
+75
+00:07:57,480 --> 00:07:57,920
+هي 45
+
+76
+00:08:17,460 --> 00:08:27,300
+معناة ممكن اخد ال link BD لاحظوا VB بتسويش VD لا
+
+77
+00:08:27,300 --> 00:08:32,320
+بالاتجاه ولا بالقيمة معناة فهي ال general plan
+
+78
+00:08:32,320 --> 00:08:36,820
+motion general plan motion حاجة احكي ان هاي ال
+
+79
+00:08:36,820 --> 00:08:45,360
+link في
+
+80
+00:08:45,360 --> 00:08:45,700
+عندي
+
+81
+00:08:51,190 --> 00:09:04,770
+هي VD و بتعمل زاوية 45 بتساوي هعمل جزء rotation و
+
+82
+00:09:04,770 --> 00:09:14,090
+جزء translation هتكون تساوي VB
+
+83
+00:09:22,160 --> 00:09:34,720
+يعني translation with ب زاد طبعا هذه ب هذه دي هذه
+
+84
+00:09:34,720 --> 00:09:42,120
+ب هذه دي زاد rotation
+
+85
+00:09:42,120 --> 00:09:45,320
+about ب
+
+86
+00:09:58,110 --> 00:10:07,490
+هتكون عمودية هاي B هاي D VD
+
+87
+00:10:07,490 --> 00:10:13,390
+بالنسبة ل B عمودية
+
+88
+00:10:13,390 --> 00:10:22,170
+على BD معناته بتعمل زوايا مع الرأس اللي
+
+89
+00:10:22,170 --> 00:10:22,510
+هي
+
+90
+00:10:33,830 --> 00:10:41,410
+اربعتاش يعني ممكن احكي VD اللي
+
+91
+00:10:41,410 --> 00:10:51,150
+بتعمل زاوية خمس واربعين بالساوية
+
+92
+00:10:51,150 --> 00:10:53,350
+VB
+
+93
+00:10:56,890 --> 00:11:05,730
+اللي بتعمل زاوية ستين مع
+
+94
+00:11:05,730 --> 00:11:14,770
+الرأس زائد VdV اللي
+
+95
+00:11:14,770 --> 00:11:23,750
+بتعمل زاوية اربعتاش
+
+96
+00:11:23,750 --> 00:11:24,330
+مع الرأس
+
+97
+00:11:31,180 --> 00:11:39,160
+VDP ايش تساوي بس
+
+98
+00:11:39,160 --> 00:11:45,880
+اميجا PD في
+
+99
+00:11:45,880 --> 00:11:56,580
+اللي هي PD صح بتساوي اه PD احنا مش عارفين قيمتها
+
+100
+00:12:00,360 --> 00:12:02,980
+PD بيساوي جزر التربيع لتلات تربيع زي اتناش تربيع
+
+101
+00:12:02,980 --> 00:12:08,600
+صح PD بيساوي
+
+102
+00:12:08,600 --> 00:12:17,160
+جزر التربيع لتلات تربيع زي اتناش تربيع بتساوي
+
+103
+00:12:17,160 --> 00:12:20,820
+اتناش
+
+104
+00:12:20,820 --> 00:12:29,760
+فاصلة تلات سبعة كم هو الرقم انش
+
+105
+00:12:32,620 --> 00:12:39,140
+معنى ان انا هضرب في ايش بيصير اتناش فاصلة تلاتة
+
+106
+00:12:39,140 --> 00:12:54,720
+سبعة Omega BD يعني
+
+107
+00:12:54,720 --> 00:12:57,340
+احنا VD هذه بتستخدم
+
+108
+00:13:02,800 --> 00:13:05,280
+Vb احنا عارفين قيمته هي تلاتينية و اتنين و عشرين و
+
+109
+00:13:05,280 --> 00:13:10,740
+نص انش
+
+110
+00:13:10,740 --> 00:13:17,960
+per second بتعمل زاوية ستين
+
+111
+00:13:17,960 --> 00:13:21,400
+زائد
+
+112
+00:13:21,400 --> 00:13:30,940
+Vdb هي اتناش point تلاتة سبعة omega Vd
+
+113
+00:13:34,440 --> 00:13:44,640
+وبتعمل زاوية اربعتاش
+
+114
+00:13:44,640 --> 00:13:52,120
+مع الرأس يعني
+
+115
+00:13:52,120 --> 00:14:01,280
+هنا عندي VD بتعمل زاوية خمس
+
+116
+00:14:01,280 --> 00:14:01,740
+واربع يعني
+
+117
+00:14:20,750 --> 00:14:26,890
+طيب انا بستخدم المثلثات او بستخدم x component او y
+
+118
+00:14:26,890 --> 00:14:30,950
+component بستخدم مثلث حاجة احكي هي
+
+119
+00:14:40,960 --> 00:14:52,700
+هذه خمسة واربعين درجة هذه هتكون VD VD
+
+120
+00:14:52,700 --> 00:14:55,420
+بالسواء VB هتكون
+
+121
+00:15:05,540 --> 00:15:08,880
+V تعمل مع الرأس ستين معناه معروف في الكلش تعمل
+
+122
+00:15:08,880 --> 00:15:14,820
+تلاتين يعني هتكون تلاتين
+
+123
+00:15:14,820 --> 00:15:21,400
+و
+
+124
+00:15:21,400 --> 00:15:32,620
+VDP مع الرأس تعمل
+
+125
+00:15:32,620 --> 00:15:33,060
+زاوية
+
+126
+00:15:35,760 --> 00:15:50,040
+اربعتاش صح؟ هذه هي VD سوى VB هي VB وهذه
+
+127
+00:15:50,040 --> 00:15:55,360
+VDB هذه VDB
+
+128
+00:16:15,390 --> 00:16:25,190
+طيب هذه الزاوية هذه خمس واربعين صح؟ مظبوط و هذه
+
+129
+00:16:25,190 --> 00:16:34,210
+أكم؟ أربعة عشر صح؟ معنى الزاوية هذه أكم؟ مية و
+
+130
+00:16:34,210 --> 00:16:40,950
+تمانين ناقص خمس واربعين ناقص تلاتين ناقص خمس
+
+131
+00:16:40,950 --> 00:16:43,770
+واربعين ناقص أربعة عشر صح؟يعني مية و تمانية ناقص
+
+132
+00:16:43,770 --> 00:16:50,470
+تسعين تسعين تسعين ناقص تلاتين ستين ناقص اربع اتاش
+
+133
+00:16:50,470 --> 00:16:55,450
+ست و اربعين ست و اربعين يعني هذا هتكون ست و اربعين
+
+134
+00:16:55,450 --> 00:17:04,150
+درجة هحكي
+
+135
+00:17:04,150 --> 00:17:07,030
+VDP V هستخدم ال sign low
+
+136
+00:17:12,010 --> 00:17:16,470
+كانت VDP على
+
+137
+00:17:16,470 --> 00:17:21,070
+sign خمس
+
+138
+00:17:21,070 --> 00:17:27,090
+سبعين زائد تلاتين خمس سبعين صح؟
+
+139
+00:17:27,090 --> 00:17:34,310
+بالساوي VB على
+
+140
+00:17:34,310 --> 00:17:38,330
+sign خمساش
+
+141
+00:17:38,330 --> 00:17:40,070
+زائد اربعتاش تسعة و خمسين
+
+142
+00:17:43,300 --> 00:17:49,240
+بتساوي VD على
+
+143
+00:17:49,240 --> 00:18:00,400
+sign 46 معناته
+
+144
+00:18:00,400 --> 00:18:06,940
+VDB هتكون
+
+145
+00:18:06,940 --> 00:18:07,460
+تساوي
+
+146
+00:18:10,500 --> 00:18:15,300
+onvb اللي هي تلتنية و اتنين و عشرين و نص صح تلتنية
+
+147
+00:18:15,300 --> 00:18:23,620
+و اتنين و عشرين و نص في sign الخمسة سبعين على sign
+
+148
+00:18:23,620 --> 00:18:34,500
+التسعة و خمسين اكتبت
+
+149
+00:18:34,500 --> 00:18:35,140
+طلاقة متها
+
+150
+00:18:51,230 --> 00:18:59,390
+هذا ستساوي 12
+
+151
+00:18:59,390 --> 00:19:02,730
+.37
+
+152
+00:19:02,730 --> 00:19:15,890
+Omega BD ومن هنا أخرج Omega BD سواء 334 على 12.37
+
+153
+00:19:21,880 --> 00:19:27,740
+تسع عشرين فاصلة تلات
+
+154
+00:19:27,740 --> 00:19:35,000
+تمانية radian per second الاتجاه بتاعها هكون ايش
+
+155
+00:19:35,000 --> 00:19:43,900
+clockwise هاي كأنه بدور حوالين بيه هتكون clockwise
+
+156
+00:19:48,660 --> 00:19:56,340
+و VD هتساوي
+
+157
+00:19:56,340 --> 00:20:03,380
+VB في صين 46 على صين 95 بالساوية
+
+158
+00:20:03,380 --> 00:20:11,340
+VB اللي هو تلتانية و اتنين و عشرين و نص صين الستة
+
+159
+00:20:11,340 --> 00:20:16,680
+و اربعين على صين
+
+160
+00:20:18,610 --> 00:20:25,690
+التسعة و خمسين اتنين
+
+161
+00:20:25,690 --> 00:20:36,530
+و سبعين point six انش لكل ثانية طب
+
+162
+00:20:36,530 --> 00:20:42,010
+عشان نحسب الانجدر بوليستي لل link دي ايه ممكن
+
+163
+00:20:42,010 --> 00:20:42,530
+نحسبها
+
+164
+00:20:47,580 --> 00:20:57,600
+ما هي ال VDE شو الساوية كمان الساوية omega DE في
+
+165
+00:20:57,600 --> 00:21:01,460
+DE صح طيب
+
+166
+00:21:01,460 --> 00:21:05,820
+نجي نحسب دي اي دي اي هتكون سبعتاش جزر اتنين مظبوط
+
+167
+00:21:05,820 --> 00:21:16,240
+دي اي هتكون الساوية سبعتاش جزر الاتنين اكم تطلع
+
+168
+00:21:23,270 --> 00:21:31,970
+اربع و عشرين بالظبط point 04 اربع و عشرين انش
+
+169
+00:21:31,970 --> 00:21:38,730
+معناته point 04
+
+170
+00:21:38,730 --> 00:21:45,110
+معناته
+
+171
+00:21:45,110 --> 00:21:47,950
+omega دي ايه؟
+
+172
+00:21:53,890 --> 00:22:03,830
+وميجا دي إيه هتكون تساوي اللي هو متين و سبعين
+
+173
+00:22:03,830 --> 00:22:09,230
+point ستة على اربع اشي point اربعة احداش
+
+174
+00:22:09,230 --> 00:22:15,810
+point اتنين ستة radian per second clockwise ولا
+
+175
+00:22:15,810 --> 00:22:20,370
+counter clockwise عكس
+
+176
+00:22:20,370 --> 00:22:21,110
+عقارس يعني
+
+177
+00:22:25,680 --> 00:22:33,080
+هك احنا عملنا velocity analysis طيب
+
+178
+00:22:33,080 --> 00:22:39,060
+نعمل
+
+179
+00:22:39,060 --> 00:22:44,240
+acceleration analysis بس خلينا نحط الشغلات الحسب
+
+180
+00:22:44,240 --> 00:22:48,480
+ده يعني
+
+181
+00:22:48,480 --> 00:22:54,000
+ألخصها هنا ال
+
+182
+00:22:54,000 --> 00:23:03,730
+..ال VB عندي تلاتمية و اتنين و عشرين و نص انش per
+
+183
+00:23:03,730 --> 00:23:14,190
+second و تماما مع الرأس ستين
+
+184
+00:23:14,190 --> 00:23:14,610
+درجة
+
+185
+00:23:25,500 --> 00:23:30,400
+و VD بتساوي
+
+186
+00:23:30,400 --> 00:23:33,420
+متين
+
+187
+00:23:33,420 --> 00:23:46,840
+و سبعين point six inch per second بتعمل زاوية خمسة
+
+188
+00:23:46,840 --> 00:23:47,260
+و أربعين
+
+189
+00:23:56,180 --> 00:24:01,720
+عندي AB و BD هين بحط الأطوال عندي اتناش point
+
+190
+00:24:01,720 --> 00:24:11,400
+تلاتة سبعة انش و
+
+191
+00:24:11,400 --> 00:24:17,340
+Omega BD بتساوي
+
+192
+00:24:17,340 --> 00:24:24,840
+تسعة عشرين point تلاتة تمانية radian per second
+
+193
+00:24:27,520 --> 00:24:40,220
+باتجاه عقارب الساعة و omega DE بتساوي 11.26 radian
+
+194
+00:24:40,220 --> 00:24:49,560
+per second بعكس عقارب الساعة و
+
+195
+00:24:49,560 --> 00:24:53,440
+DE بتساوي
+
+196
+00:24:53,440 --> 00:24:56,320
+24.04
+
+197
+00:24:58,180 --> 00:24:58,640
+inch
+
+198
+00:25:28,540 --> 00:25:41,360
+لان انا هنعمل acceleration analysis لان
+
+199
+00:25:41,360 --> 00:25:48,340
+ال link AB ال link AB بدول سرعة زاوية منتظمة
+
+200
+00:25:48,340 --> 00:25:53,200
+قيمتها اللي هي عشرين radian per second يعني ال
+
+201
+00:25:53,200 --> 00:25:56,400
+alpha بتاعتها ايش بالساوية صفر يعني اذا كان ال
+
+202
+00:25:56,400 --> 00:25:57,320
+alpha AB
+
+203
+00:26:01,220 --> 00:26:09,140
+الألفة AB بيساوي صفر المعنى هو ال acceleration عند
+
+204
+00:26:09,140 --> 00:26:13,740
+B المفروض يكون عندي AB normal أو AB tangential صح؟
+
+205
+00:26:13,740 --> 00:26:19,600
+ال AB tangential سواء ألفة في ال R والألفة بتاعة
+
+206
+00:26:19,600 --> 00:26:22,720
+AB صفر المعنى هو ال AB
+
+207
+00:26:28,140 --> 00:26:33,080
+الالف ال ال a,b ك
+
+208
+00:26:33,080 --> 00:26:45,840
+vector سواء a,b normal زاد a,b tangential واحنا
+
+209
+00:26:45,840 --> 00:26:51,680
+حاكينا a,b tangential بالسواء صفر لأن ال alpha
+
+210
+00:26:51,680 --> 00:26:53,200
+بالسواء صفر
+
+211
+00:26:57,150 --> 00:27:00,590
+هتكون تستوى AB Normal AB Normal هي هتكون في اتجاه
+
+212
+00:27:00,590 --> 00:27:08,290
+من B ل A في اتجاه من B ل A و قيمتها بالستوى Omega
+
+213
+00:27:08,290 --> 00:27:19,850
+تربيع AB في AB و اتجاهها الزاوية
+
+214
+00:27:19,850 --> 00:27:23,410
+اكم ستين
+
+215
+00:27:23,410 --> 00:27:34,800
+point تلاتةستين point تلاتة degrees هتساوي omega
+
+216
+00:27:34,800 --> 00:27:42,100
+AB اللي هي عشرين تربية في
+
+217
+00:27:42,100 --> 00:27:46,640
+ال AB ستاش
+
+218
+00:27:46,640 --> 00:27:55,890
+point واحد اتنين خمسةيعني تلات مائة و اتنين و
+
+219
+00:27:55,890 --> 00:27:59,490
+اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+220
+00:27:59,490 --> 00:28:04,730
+اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+221
+00:28:04,730 --> 00:28:05,910
+اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+222
+00:28:05,910 --> 00:28:10,310
+اتنين و اتنين و اتنين و اتنين
+
+223
+00:28:10,310 --> 00:28:12,110
+و اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+224
+00:28:12,110 --> 00:28:12,110
+اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+225
+00:28:12,110 --> 00:28:14,130
+اتنين و اتنين و اتنين و اتنين و اتنين و اتنين و
+
+226
+00:28:14,130 --> 00:28:15,530
+اتنين و اتنين و
+
+227
+00:28:23,070 --> 00:28:29,830
+ستين و تلاتة من عشرة ديجريز ها
+
+228
+00:28:29,830 --> 00:28:38,770
+دياش ال A,B لان
+
+229
+00:28:38,770 --> 00:28:46,770
+حدرس ال rigid body بي دي بي دي لان لا يعني ان ال A
+
+230
+00:28:46,770 --> 00:28:50,900
+,B بتحرك بسرعة زي ما هو منتظمإن بي دي بتحرك بسرعة
+
+231
+00:28:50,900 --> 00:28:54,440
+زي المنظمة يعني هكون له alpha و دي ايه هكون له
+
+232
+00:28:54,440 --> 00:29:02,360
+alpha الان النقطة دي الها two components انا حكيت
+
+233
+00:29:02,360 --> 00:29:08,460
+ال a,b هاي ال a,b
+
+234
+00:29:08,460 --> 00:29:14,860
+هاي
+
+235
+00:29:14,860 --> 00:29:19,630
+ال a,bال دي هكون two components واحدة normal
+
+236
+00:29:19,630 --> 00:29:25,830
+component هد ا دي normal ا
+
+237
+00:29:25,830 --> 00:29:31,910
+دي normal او ا دي tangential حسب اتجاه الف انا مش
+
+238
+00:29:31,910 --> 00:29:35,690
+عارف يمكن تكون بهذا الاتجاه او بهذا الاتجاه هتكون
+
+239
+00:29:35,690 --> 00:29:39,430
+عمودية هعندي
+
+240
+00:29:39,430 --> 00:29:42,490
+ا دي tangential
+
+241
+00:29:49,000 --> 00:29:59,520
+معناته هتكون عنده ال a دي ك vector او ال a دي
+
+242
+00:29:59,520 --> 00:30:09,760
+normal اللي فيه تجاه من d ل a تعمل زاوية خمس
+
+243
+00:30:09,760 --> 00:30:15,520
+و أربعين زائد a d tangential
+
+244
+00:30:19,700 --> 00:30:25,580
+عمودي عليها هتعمل زاوية خمسة واربعية برضه انا فرحت
+
+245
+00:30:25,580 --> 00:30:40,440
+لتجامكوا ممكن نكون مش صحيحة الفرضية ال
+
+246
+00:30:40,440 --> 00:30:55,920
+a d normal او omega d aتربيع في دي إيه ال
+
+247
+00:30:55,920 --> 00:31:00,320
+Omega دي إيه احنا حسبناها اللي يحداش point اتنين
+
+248
+00:31:00,320 --> 00:31:14,400
+ستة تربيع ال دي إيه هذه دي إيه صح اربع و عشرين
+
+249
+00:31:18,140 --> 00:31:30,680
+مونت او اربعة اكه تطلع تلت تلاف انش
+
+250
+00:31:30,680 --> 00:31:39,080
+per second square وال
+
+251
+00:31:39,080 --> 00:31:49,550
+ا دي tangential بسوء الف د في ديعني هتكون اربعة و
+
+252
+00:31:49,550 --> 00:32:08,590
+عشرين point O اربعة الف دي ايه لان
+
+253
+00:32:08,590 --> 00:32:09,270
+هدرس BD
+
+254
+00:32:22,130 --> 00:32:30,850
+هذه AB والـ
+
+255
+00:32:30,850 --> 00:32:40,470
+AD لها two components هذه AD normal هذه
+
+256
+00:32:40,470 --> 00:32:50,130
+AD tangential هذه خمس واربعينوها دي ايش خمس و
+
+257
+00:32:50,130 --> 00:32:57,790
+أربعين بتساوي في جزء translation with بيه هايكون
+
+258
+00:32:57,790 --> 00:33:02,830
+هاي
+
+259
+00:33:02,830 --> 00:33:12,070
+اي بيه و هاي اي بيه translation with بيه زي ال
+
+260
+00:33:12,070 --> 00:33:13,370
+rotation about بيه
+
+261
+00:33:22,090 --> 00:33:34,530
+هكون هاي a d بالنسبة ل b normal وفي
+
+262
+00:33:34,530 --> 00:33:44,010
+a d بالنسبة ل b tangential هاي a d بالنسبة
+
+263
+00:33:44,010 --> 00:33:54,680
+ل b tangentialهذه بتعمل في الزاوية اربعتاش صح؟
+
+264
+00:33:54,680 --> 00:33:59,020
+وهذه برضه
+
+265
+00:33:59,020 --> 00:34:07,820
+ايش؟ اربعتاش مع الرأس هذه
+
+266
+00:34:07,820 --> 00:34:12,340
+rotation about B
+
+267
+00:34:18,830 --> 00:34:27,290
+طيب حاجة احكي ان اي دي اي اي دي اللي هيبارة عن اي
+
+268
+00:34:27,290 --> 00:34:31,010
+دي اي دي normal زي اي دي tangential يعني اي دي
+
+269
+00:34:31,010 --> 00:34:40,110
+normal و بتعمل زاوية خمسة و أربعين زي
+
+270
+00:34:40,110 --> 00:34:48,170
+اي دي tangential و بتعمل زاوية خمسة و أربعين
+
+271
+00:34:50,220 --> 00:34:58,080
+بالساوية AB اللى
+
+272
+00:34:58,080 --> 00:35:02,280
+بتعمل زاوية ستين
+
+273
+00:35:02,280 --> 00:35:06,600
+و تلاتة زائد
+
+274
+00:35:06,600 --> 00:35:14,660
+AD بالنسبة ل B Normal هاي اتجاهة
+
+275
+00:35:20,970 --> 00:35:28,590
+اربعتاش زائد a d بالنسبة ل b tangential اللى بتعمل
+
+276
+00:35:28,590 --> 00:35:36,590
+مع الرأس اربعتاش
+
+277
+00:35:36,590 --> 00:35:41,990
+خلنا
+
+278
+00:35:41,990 --> 00:35:45,690
+نعود عن a d normal اللى هى تلت تلاف و اتبان و
+
+279
+00:35:45,690 --> 00:35:54,380
+اربعين صح تلت تلافو 48 inch per second square تعمل
+
+280
+00:35:54,380 --> 00:36:00,000
+زاوية خمس و اربعين زائد
+
+281
+00:36:00,000 --> 00:36:05,740
+AD tangential اللي هي اربع و عشرين point oh four
+
+282
+00:36:05,740 --> 00:36:17,080
+alpha DE تعمل زاوية خمس و اربعين زائد
+
+283
+00:36:17,080 --> 00:36:18,240
+بتساوي
+
+284
+00:36:20,670 --> 00:36:27,310
+AB حسبنا AB اللي 6450 6450
+
+285
+00:36:27,310 --> 00:36:36,970
+inch per second square بتعمل زاوية ستين
+
+286
+00:36:36,970 --> 00:36:45,570
+point تلاتة زائد ADP normal اللي
+
+287
+00:36:45,570 --> 00:36:46,250
+هي عبارة عن
+
+288
+00:36:50,560 --> 00:36:54,620
+وميجا سكوير هنعملها
+
+289
+00:36:54,620 --> 00:37:04,840
+هنا ع جنب بدي احكي a d b normal بالسواء
+
+290
+00:37:04,840 --> 00:37:12,840
+اميجا بي دي تربيع في بي دي يعني هتكون اميجا بي دي
+
+291
+00:37:12,840 --> 00:37:17,710
+اللي هي تسعة عشرين point تلات تمانيةتسعة و عشرين
+
+292
+00:37:17,710 --> 00:37:24,410
+point تلت تمانية تربية في BD BD
+
+293
+00:37:24,410 --> 00:37:41,450
+اتناش تلت سبعة و من هنا بحسب ADP normal عشر
+
+294
+00:37:41,450 --> 00:37:44,190
+تلاف ايوة
+
+295
+00:37:47,680 --> 00:37:58,020
+inch per second squared هو ال A دي B tangential
+
+296
+00:37:58,020 --> 00:38:03,140
+بيستوى Alpha BD
+
+297
+00:38:03,140 --> 00:38:12,500
+في BD يعني هتكون تسعة اتناش point تلت سبعة
+
+298
+00:38:15,840 --> 00:38:21,420
+الفا بي دي يعني لما انا اعوض عن ا دي بي normal
+
+299
+00:38:21,420 --> 00:38:26,660
+هتزاد ا دي بي normal اللي هي عشر تلاف و ستمية و
+
+300
+00:38:26,660 --> 00:38:32,880
+سبعة و سبعين تعمل زاوية اربعتاش
+
+301
+00:38:32,880 --> 00:38:40,340
+زاد ا دي بي tangential اللي هي عبارة عن اتناشpoint
+
+302
+00:38:40,340 --> 00:38:49,760
+تلاتة سبعة Alpha BD تعمل مع الرأس اربعتاش
+
+303
+00:38:49,760 --> 00:38:53,300
+هاخد
+
+304
+00:38:53,300 --> 00:38:58,720
+ال X components انا
+
+305
+00:38:58,720 --> 00:39:04,560
+المجهل عندي ايش Alpha DE و Alpha BD هاخد ال X
+
+306
+00:39:04,560 --> 00:39:06,780
+component
+
+307
+00:39:08,900 --> 00:39:18,940
+هك موجب هكون عندى تلت تلاف تمانية و اربعين كوصين
+
+308
+00:39:18,940 --> 00:39:24,820
+الخمس و اربعين زاد
+
+309
+00:39:24,820 --> 00:39:33,480
+اربع و عشرين point O اربعة الف دي اي كوصين الخمس و
+
+310
+00:39:33,480 --> 00:39:37,920
+اربعين بتساوي
+
+311
+00:39:39,930 --> 00:39:47,590
+ناقص ست تلاف و أربعمية و خمسين cosine الستين point
+
+312
+00:39:47,590 --> 00:39:57,950
+تلتة ناقص عشر تلاف و ستمية و سبعة و سبعين cosine
+
+313
+00:39:57,950 --> 00:40:03,110
+الاربعتاش ناقص
+
+314
+00:40:05,120 --> 00:40:15,840
+12.37 Alpha BD Sine 14 هذه المعادلة التانية التي
+
+315
+00:40:15,840 --> 00:40:22,040
+هي ال Y component هعتبر
+
+316
+00:40:22,040 --> 00:40:31,240
+هذا موجب هكون سالب 3048 Sine 45
+
+317
+00:40:35,520 --> 00:40:45,160
+زائد اربع و عشرين point oh four alpha D E sine
+
+318
+00:40:45,160 --> 00:40:54,520
+الخمسة و أربعين بتساوي الناقص ست الف و أربع مية و
+
+319
+00:40:54,520 --> 00:40:55,140
+خمسين
+
+320
+00:40:57,550 --> 00:41:05,130
+Sin ستين minus عشر
+
+321
+00:41:05,130 --> 00:41:16,470
+تلاف ستمية أو سبعة و سبعين Sin أربع تاش زائد اتناش
+
+322
+00:41:16,470 --> 00:41:25,430
+من تلاتة سبعة Alpha BD Cos أربع تاش
+
+323
+00:41:28,520 --> 00:41:39,240
+هذه واحد هذه اتنين solve
+
+324
+00:41:39,240 --> 00:41:46,600
+for
+
+325
+00:41:46,600 --> 00:41:49,760
+alpha
+
+326
+00:41:54,070 --> 00:42:00,130
+و alpha PD هى اللى هو براحتكوا بتضرب واحدة cosine
+
+327
+00:42:00,130 --> 00:42:05,590
+واحدة sine تجمع و تطرح بروح variable طرحناها ان فى
+
+328
+00:42:05,590 --> 00:42:08,810
+cosine 45 و sine 45 تطرح لا لا أنا مابهمنيش هدول
+
+329
+00:42:08,810 --> 00:42:11,790
+بيهمني اللى فيها ال variables هو ال BDE حقها اه
+
+330
+00:42:11,790 --> 00:42:15,290
+يعني هندك هذه ال sine 45 minus 45 خلاص automatic
+
+331
+00:42:15,290 --> 00:42:24,150
+يعني اطرح هذه من هذه بتروح هذه مع هذهأه يعني ممكن
+
+332
+00:42:24,150 --> 00:42:33,510
+احكي subtract two
+
+333
+00:42:33,510 --> 00:42:42,370
+او نحكي واحد ناقص اتنين هي معادلة واحد ناقص اتنين
+
+334
+00:42:42,370 --> 00:42:47,810
+هيعطينا هذا
+
+335
+00:42:47,810 --> 00:42:51,650
+هتكون هد ما هي ال cosine نفس ال sine هتكون تلت تلف
+
+336
+00:42:51,650 --> 00:42:52,450
+و تمانية و اربعين
+
+337
+00:42:56,360 --> 00:43:02,880
+فى اتنين تمنى واربعين ستة وتسعين سفر
+
+338
+00:43:02,880 --> 00:43:11,820
+ستة كوصين الخمس واربعين هذا
+
+339
+00:43:11,820 --> 00:43:15,720
+هتروح مع هذه بتساوي
+
+340
+00:43:25,620 --> 00:43:30,740
+ست الف اربع مية و خمسين في
+
+341
+00:43:30,740 --> 00:43:41,580
+minus cosine الستين و تلاتة زائد sine الستين و
+
+342
+00:43:41,580 --> 00:43:48,300
+تلاتة زائد
+
+343
+00:43:49,920 --> 00:43:56,040
+عشر تلاف و ستمية و سبعة و سبعين في minus cosine
+
+344
+00:43:56,040 --> 00:44:10,660
+الاربعتاش زائد sine الاربعتاش minus
+
+345
+00:44:10,660 --> 00:44:22,760
+اتناش point تلاتة سبعة alpha BDفي sin الاربعتاش
+
+346
+00:44:22,760 --> 00:44:26,060
+زائد
+
+347
+00:44:26,060 --> 00:44:36,260
+cosine الاربعتاش ومنها بتحسب ايش الف بي دي تحسب
+
+348
+00:44:36,260 --> 00:44:43,160
+بعدين
+
+349
+00:44:43,160 --> 00:44:44,640
+بتعود
+
+350
+00:44:51,950 --> 00:44:58,410
+about Alpha BD
+
+351
+00:44:58,410 --> 00:45:06,690
+in واحد او اتنين بتحصل
+
+352
+00:45:06,690 --> 00:45:10,590
+علياش Alpha DE
+
+353
+00:45:14,650 --> 00:45:17,790
+إذا طلعت ال alpha ز موجة بقى حسب ما فرضناها
+
+354
+00:45:17,790 --> 00:45:21,110
+اتجاهات فرضناها بيكون اتجاهها الصح إذا طلعت
+
+355
+00:45:21,110 --> 00:45:24,970
+السيربانات ده بتعكس الاتجاه take one عافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uX8OcKPJUaM.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uX8OcKPJUaM.srt
new file mode 100644
index 0000000000000000000000000000000000000000..6be3c820d1e2903e2d59d6b7d8f08f1ec48a7558
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uX8OcKPJUaM.srt
@@ -0,0 +1,1151 @@
+1
+00:00:05,250 --> 00:00:07,910
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,910 --> 00:00:12,070
+وبركاته هنكمل في chapter اتنين مادة الـ dynamical
+
+3
+00:00:12,070 --> 00:00:16,270
+kinetics of particles المحاضرة الفاترة حلينا تلاتة
+
+4
+00:00:16,270 --> 00:00:19,250
+examples هنكمل هالـ two examples وبعدها هنخش على
+
+5
+00:00:19,250 --> 00:00:25,460
+الـ section اللي بعده الـ example المبين And the pop
+
+6
+00:00:25,460 --> 00:00:29,620
+of a two-meter pendulum describes an arc of a
+
+7
+00:00:29,620 --> 00:00:35,140
+circle in a vertical plane عندي كورة بندول معلقة
+
+8
+00:00:35,140 --> 00:00:41,180
+بحبل طوله مترين طبعا البندول لما بيتحرك مسار
+
+9
+00:00:41,180 --> 00:00:46,780
+بتاع الكورة هيكون جزء من دائرة جزء من دائرة
+
+10
+00:00:46,780 --> 00:00:54,280
+مساره مترين if the tension in the rod is 2.5 times
+
+11
+00:00:54,280 --> 00:00:59,000
+the weight of the bob يعني كان عنده الـ tension في
+
+12
+00:00:59,000 --> 00:01:09,240
+الحبل بيساوي 2.5 mg for
+
+13
+00:01:09,240 --> 00:01:11,500
+the position shown يعني لما كانت بزاوية تلاتين درجة
+
+14
+00:01:11,500 --> 00:01:16,710
+كان الشد بيساوي 2.5 الوزن find the velocity and
+
+15
+00:01:16,710 --> 00:01:21,430
+acceleration of the ball in that position اوجد الـ
+
+16
+00:01:21,430 --> 00:01:27,450
+velocity و الـ acceleration في هذا الموقع هعمل free
+
+17
+00:01:27,450 --> 00:01:34,130
+body diagram للـ
+
+18
+00:01:34,130 --> 00:01:43,090
+الكورة فيه عندي شد بزاوية
+
+19
+00:01:47,490 --> 00:01:54,470
+تلاتين درجة فعندي الوزن M
+
+20
+00:01:54,470 --> 00:02:01,050
+G فالأحسن ليّا أشتغل tangential و normal
+
+21
+00:02:01,050 --> 00:02:08,590
+coordinates صح هقول عندي هذا
+
+22
+00:02:08,590 --> 00:02:13,730
+الـ tangential direction وهذا
+
+23
+00:02:13,730 --> 00:02:15,990
+normal direction
+
+24
+00:02:21,370 --> 00:02:30,330
+حيث ساوى هذا
+
+25
+00:02:30,330 --> 00:02:41,190
+الـ normal هذا الزاوية تلاتين هذا
+
+26
+00:02:41,190 --> 00:02:42,270
+tangential direction
+
+27
+00:02:49,630 --> 00:02:54,150
+طبعا هنا هحلل الوزن
+
+28
+00:02:54,150 --> 00:02:59,830
+في مركبة في اتجاه ثتا
+
+29
+00:02:59,830 --> 00:03:16,510
+ومركبة ثانية في اتجاه ثتا
+
+30
+00:03:16,510 --> 00:03:16,850
+ثتا
+
+31
+00:03:22,460 --> 00:03:28,600
+هنا دي ma
+
+32
+00:03:28,600 --> 00:03:35,320
+tangential وهنا
+
+33
+00:03:35,320 --> 00:03:48,240
+دي ma normal هاخد
+
+34
+00:03:48,240 --> 00:03:49,240
+summation of forces
+
+35
+00:03:53,970 --> 00:03:58,490
+باتجاه tangential و باتجاه normal directions
+
+36
+00:03:58,490 --> 00:04:04,490
+summation of forces باتجاه
+
+37
+00:04:04,490 --> 00:04:12,990
+tangential هقول هذا هو الموجب بيساوي ma
+
+38
+00:04:12,990 --> 00:04:18,810
+tangential باتجاه tangential عندي إيه mg sin
+
+39
+00:04:18,810 --> 00:04:21,550
+θ صح m
+
+40
+00:04:23,890 --> 00:04:29,010
+g sin θ بيساوي
+
+41
+00:04:29,010 --> 00:04:35,730
+ma tangential هتروح
+
+42
+00:04:35,730 --> 00:04:40,030
+إلى ma
+
+43
+00:04:40,030 --> 00:04:43,470
+tangential
+
+44
+00:04:43,470 --> 00:04:44,390
+tangential
+
+45
+00:04:49,130 --> 00:04:56,050
+يساوي g sin θ g sin θ يعني هتساوي g
+
+46
+00:04:56,050 --> 00:04:59,590
+اللي هي 9.86 sin 30 هو
+
+47
+00:04:59,590 --> 00:05:08,030
+إيه نص يعني 4.9 اللي
+
+48
+00:05:08,030 --> 00:05:16,080
+هي m/s² لأنها حمل نفس الشيء بس في
+
+49
+00:05:16,080 --> 00:05:23,320
+اتجاه الـ normal direction أما بالنسبة للـ F normal
+
+50
+00:05:23,320 --> 00:05:32,480
+و هذا اتجاه الـ normal direction بيساوي ma normal
+
+51
+00:05:32,480 --> 00:05:41,000
+فين ده هيكون الـ tension ناقص
+
+52
+00:05:41,000 --> 00:05:42,700
+mg
+
+53
+00:05:44,750 --> 00:05:52,850
+cos θ = ma normal الـ T هو معطيني T بيساوي
+
+54
+00:05:52,850 --> 00:05:59,870
+2.5 mg هنعوض بـ 2.5 mg
+
+55
+00:05:59,870 --> 00:06:10,230
+− mg cos θ = ma normal هختصر الـ m مع الـ m عندي
+
+56
+00:06:10,230 --> 00:06:22,070
+عندي a normal بيساوي 2.5g − g cos θ
+
+57
+00:06:22,070 --> 00:06:32,810
+يعني 2.5 هطلع g بره هتكون عندك 9.86 × 2.5 − cos 30
+
+58
+00:06:32,810 --> 00:06:43,110
+اللي هي 0.866 صح؟
+
+59
+00:06:43,110 --> 00:06:45,270
+اللي هي 0.866 صح؟
+
+60
+00:06:51,390 --> 00:07:01,210
+أنا بطلع الـ a normal حد يحسبه كام؟
+
+61
+00:07:01,210 --> 00:07:05,150
+m
+
+62
+00:07:05,150 --> 00:07:10,470
+/s² أنا
+
+63
+00:07:10,470 --> 00:07:18,870
+صار إن الـ a tangential معروفة و
+
+64
+00:07:18,870 --> 00:07:26,600
+a normal معروفة ده أنا عندي الكورة دي
+
+65
+00:07:26,600 --> 00:07:31,780
+الـ vertical دي
+
+66
+00:07:31,780 --> 00:07:45,040
+الزاوية 30 الـ
+
+67
+00:07:45,040 --> 00:07:46,360
+a normal دي الـ a normal
+
+68
+00:07:57,400 --> 00:08:12,480
+صح؟ وهذا الـ A tangential معناه
+
+69
+00:08:12,480 --> 00:08:17,500
+أن المحصلة دي هي الـ x الكلية صح؟ هذا A
+
+70
+00:08:24,710 --> 00:08:30,990
+خليني أسمي الزاوية دي β
+
+71
+00:08:30,990 --> 00:08:36,830
+β
+
+72
+00:08:36,830 --> 00:08:41,090
+شو بيساوي؟
+
+73
+00:08:41,090 --> 00:08:49,450
+بيساوي tan⁻¹ (At/An)
+
+74
+00:08:53,210 --> 00:08:58,690
+يعني هتكون tan⁻¹ 4.93 / 16.22
+
+75
+00:08:58,690 --> 00:09:05,390
+اللي هي 16.75 / 16.22 ايه كام تطلع الـ β
+
+76
+00:09:05,390 --> 00:09:11,470
+16.73
+
+77
+00:09:11,470 --> 00:09:16,890
+درجة 16.73
+
+78
+00:09:16,890 --> 00:09:22,510
+درجة 16.73
+
+79
+00:09:26,090 --> 00:09:33,290
+خلاص degrees 17 درجة هذا الـ β الآن قيمة الـ
+
+80
+00:09:33,290 --> 00:09:38,710
+acceleration الـ a الكلية إيه هتساوي √
+
+81
+00:09:38,710 --> 00:09:48,330
+(At)² + (An)² يعني هتكون √
+
+82
+00:09:48,330 --> 00:09:56,990
+(4.93)² + (16.22)²
+
+83
+00:09:56,990 --> 00:10:05,030
+16.73
+
+84
+00:10:05,030 --> 00:10:09,390
+m
+
+85
+00:10:09,390 --> 00:10:15,970
+/s² ما
+
+86
+00:10:15,970 --> 00:10:17,110
+نتوقع نقول إن a
+
+87
+00:10:19,780 --> 00:10:29,340
+هتكون قيمتها 16.75 m
+
+88
+00:10:29,340 --> 00:10:34,380
+/s² و بتعمل مع الرأس زاوية 30 زي
+
+89
+00:10:34,380 --> 00:10:37,800
+الـ β صح؟ هيكون هذا الرأس
+
+90
+00:10:45,790 --> 00:10:49,870
+الزاوية دي هتكون 30 + 17 = 47
+
+91
+00:10:49,870 --> 00:11:02,510
+درجة هذا الـ a طب بده الـ v في هذا الـ position الـ
+
+92
+00:11:02,510 --> 00:11:12,830
+a normal = v²/r يعني الـ v
+
+93
+00:11:15,270 --> 00:11:22,170
+قيمتها هتكون √ لأنها v هتكون √
+
+94
+00:11:22,170 --> 00:11:34,310
+(16.22 × 2) = √32.44
+
+95
+00:11:34,310 --> 00:11:40,050
+إيه كام؟
+
+96
+00:11:40,050 --> 00:11:43,770
+كام الرقم m
+
+97
+00:11:45,640 --> 00:12:01,560
+/s طب إيه اتجاهها؟ اتجاه الحركة هتكون
+
+98
+00:12:01,560 --> 00:12:10,780
+مماس يعني هتكون الـ v هتكون = 5.66
+
+99
+00:12:10,780 --> 00:12:13,880
+5.71 m/s
+
+100
+00:12:16,560 --> 00:12:23,800
+هتكون حركة الكورة على القوس و
+
+101
+00:12:23,800 --> 00:12:41,060
+الزاوية
+
+102
+00:12:41,060 --> 00:12:52,250
+هذه 30 درجة ليه ماكانش العكس؟ مش عشان أنا
+
+103
+00:12:52,250 --> 00:12:59,510
+افرضها كده لأن طلعت الـ a tangential هي اتجاه الـ
+
+104
+00:12:59,510 --> 00:13:02,890
+a tangential طلعت موجبة
+
+105
+00:13:12,550 --> 00:13:16,770
+لأ مش ضروري تكون اتجاه الـ acceleration نفس اتجاه
+
+106
+00:13:16,770 --> 00:13:23,590
+الـ a tangential فهو إذا كان نازل هتكون هذا اتجاه
+
+107
+00:13:23,590 --> 00:13:27,230
+الـ v إذا كان طالع هتكون العكس
+
+108
+00:13:42,110 --> 00:13:50,710
+حسب كان نازل أو طالع فيه أي سؤال؟
+
+109
+00:13:50,710 --> 00:13:54,210
+طيب نحل سؤال تاني
+
+110
+00:14:36,080 --> 00:14:42,220
+زي ما أنتم شايفين عندي سيارة بتلف على دوران
+
+111
+00:14:42,220 --> 00:14:49,200
+الشارع مائل وهي بتلف كده لما تدخل أي خط سريع بيكون
+
+112
+00:14:49,200 --> 00:14:54,520
+فيه ميل الشارع بيكون مائلاً فهي
+
+113
+00:14:54,520 --> 00:14:59,420
+الداخلة على دوران determine
+
+114
+00:14:59,420 --> 00:15:03,240
+the rated speed of a highway curve of radius ρ
+
+115
+00:15:04,360 --> 00:15:08,820
+equal 400 feet banked through an angle θ equal
+
+116
+00:15:08,820 --> 00:15:13,160
+18 درجة الشارع
+
+117
+00:15:13,160 --> 00:15:18,160
+مائل بزاوية 18 درجة و بيلف في arc معناته من الـ top
+
+118
+00:15:18,160 --> 00:15:26,520
+view من الـ top view هيكون شكله كده أنا زي ..
+
+119
+00:15:26,520 --> 00:15:29,140
+يعني هو كان ماشي في اللحظة دي و بيلف وأنا طلعت
+
+120
+00:15:29,140 --> 00:15:32,940
+عليه من ورا أنا طلعت عليه من الـ top view من الـ top
+
+121
+00:15:32,940 --> 00:15:33,660
+view هيكون
+
+122
+00:15:36,320 --> 00:15:41,740
+في arc والسيارة
+
+123
+00:15:41,740 --> 00:15:50,460
+كانت من الـ top view هتكون هذه السيارة من
+
+124
+00:15:50,460 --> 00:15:58,780
+الـ front view هشوف إيه السيارة كده هذا
+
+125
+00:15:58,780 --> 00:16:12,230
+front view هذا الـ top view بيدور في arc نصف قطر الـ
+
+126
+00:16:12,230 --> 00:16:15,690
+ρ أربعمائة
+
+127
+00:16:15,690 --> 00:16:26,630
+قدم تعريف
+
+128
+00:16:26,630 --> 00:16:30,800
+الـ rated speed of a banked highway curve هي الـ
+
+129
+00:16:30,800 --> 00:16:34,300
+speed at which a car should travel if no lateral
+
+130
+00:16:34,300 --> 00:16:39,360
+friction force is to be exerted on its wheels هي
+
+131
+00:16:39,360 --> 00:16:44,880
+السرعة اللي هتمشي فيها السيارة بحيث ما يكونش فيه
+
+132
+00:16:44,880 --> 00:16:48,160
+friction على العجلات friction جانبي يعني لأ مش
+
+133
+00:16:48,160 --> 00:16:51,980
+هتكون في محاولة إنها تطلع كده أو تنزل يعني
+
+134
+00:16:51,980 --> 00:16:55,820
+مافيش فيه friction هذا معناه هذا معناه الـ rated
+
+135
+00:16:55,820 --> 00:17:01,530
+speed هذا الـ rated speed للـ highway يعني هي أقصى
+
+136
+00:17:01,530 --> 00:17:06,810
+سرعة ممكن تمشيها بحيث إنه مايكونش فيه friction على
+
+137
+00:17:06,810 --> 00:17:11,830
+العجلات حاجة نرسم free body diagram طبعا هطلع من الـ
+
+138
+00:17:11,830 --> 00:17:16,350
+front view السيارة
+
+139
+00:17:16,350 --> 00:17:19,510
+دي
+
+140
+00:17:19,510 --> 00:17:28,790
+السيارة إيه الـ force اللي بتأثر عليها؟ الوزن
+
+141
+00:17:34,140 --> 00:17:40,280
+الوزن اللي هو mg ورد فعل
+
+142
+00:17:40,280 --> 00:17:47,600
+من الأرض الـ
+
+143
+00:17:47,600 --> 00:17:55,840
+R وأنا بحكي أنا بدي أحسب الـ rated speed يعني الـ
+
+144
+00:17:55,840 --> 00:17:58,140
+rated speed مايكونش فيه friction مافيش فيه
+
+145
+00:17:58,140 --> 00:18:02,480
+friction عندنا يعني مش هتكون في محاولة إن السيارة
+
+146
+00:18:02,480 --> 00:18:07,980
+تنزلق لأعلى أو تنزلق لأسفل هذه هي الـ rated speed
+
+147
+00:18:07,980 --> 00:18:17,520
+يعني سرعة معينة بيكون مافيش friction طبعا
+
+148
+00:18:17,520 --> 00:18:23,160
+السيارة من الـ front view مائلة كده وبتلف معناته في
+
+149
+00:18:23,160 --> 00:18:27,320
+مركز هنا بتحاول تدور حواليه في مركز حواليه معناته
+
+150
+00:18:27,320 --> 00:18:28,920
+هذا الـ normal direction
+
+151
+00:18:32,700 --> 00:18:37,260
+هذا الـ normal direction والـ tangential بيبان في
+
+152
+00:18:37,260 --> 00:18:41,260
+الـ top view عندي tangential أنا بتكلم من الـ front
+
+153
+00:18:41,260 --> 00:18:43,420
+هي بتكلم من الـ top view بشوف الـ tangential
+
+154
+00:18:43,420 --> 00:18:49,620
+direction بيبان عندي إيه الـ normal direction والـ
+
+155
+00:18:49,620 --> 00:18:54,360
+tangential عمودي على الصفحة هذا الـ tangential و
+
+156
+00:18:54,360 --> 00:18:59,940
+هذا كده يمثل الـ y مش الـ tangential هذا بيساوي
+
+157
+00:19:02,870 --> 00:19:06,790
+هذه الزاوية بدي
+
+158
+00:19:06,790 --> 00:19:10,850
+أسميها θ في
+
+159
+00:19:10,850 --> 00:19:17,630
+حالتنا الـ θ اللي هي 18 دي عندي السيارة
+
+160
+00:19:17,630 --> 00:19:22,550
+دي
+
+161
+00:19:22,550 --> 00:19:29,870
+الزاوية θ عندي هذا الـ normal direction وهذا
+
+162
+00:19:29,870 --> 00:19:33,740
+الـ y والـ tangential إحنا قلنا عمودي على الصفحة
+
+163
+00:19:33,740 --> 00:19:40,520
+هيكون
+
+164
+00:19:40,520 --> 00:19:47,000
+فيه عندي هنا
+
+165
+00:19:47,000 --> 00:19:55,400
+ma normal و ma tangential عمودي على الصفحة طيب
+
+166
+00:20:04,270 --> 00:20:07,290
+هاخد summation في اتجاه الـ y summation for اتجاه
+
+167
+00:20:07,290 --> 00:20:15,070
+الـ y هي
+
+168
+00:20:15,070 --> 00:20:20,330
+اتجاه الموجب بيساوي
+
+169
+00:20:20,330 --> 00:20:29,430
+ma y اللي هي بتساوي صفر صح اتجاه الـ y عندي اللي هو
+
+170
+00:20:29,430 --> 00:20:32,330
+−mg
+
+171
+00:20:40,510 --> 00:20:51,650
++ R cos θ = 0 يعني
+
+172
+00:20:51,650 --> 00:20:58,230
+R هتكون = mg / cos θ
+
+173
+00:21:07,450 --> 00:21:12,970
+نعم ماشي هخليها في θ أنا بشكل عام الآن هاخد
+
+174
+00:21:12,970 --> 00:21:20,710
+summation الـ forces summation
+
+175
+00:21:20,710 --> 00:21:30,370
+الـ forces باتجاه الـ normal بيساوي
+
+176
+00:21:30,370 --> 00:21:32,830
+ma normal
+
+177
+00:21:35,820 --> 00:21:47,620
+هيكون عندي هتكون اتجاه الـ force R sin θ صح؟
+
+178
+00:21:47,620 --> 00:21:53,820
+R sin
+
+179
+00:21:53,820 --> 00:21:58,100
+θ بالموجب
+
+180
+00:21:58,100 --> 00:22:00,500
+بالـ الموجب اللي على الشمال اتجاه القوة R sin
+
+181
+00:22:00,500 --> 00:22:03,800
+θ بيساوي m
+
+182
+00:22:06,240 --> 00:22:12,040
+a normal لأن أنا هعوض عن R اللي هي mg / cos θ mg
+
+183
+00:22:12,040 --> 00:22:15,520
+على
+
+184
+00:22:15,520 --> 00:22:23,580
+cos θ × sin θ بيساوي
+
+185
+00:22:23,580 --> 00:22:30,520
+ma normal إيه بيساوي اللي هي v rated في الحالة
+
+186
+00:22:30,520 --> 00:22:32,720
+دي v² v rated
+
+187
+00:22:35,360 --> 00:22:41,820
+تربيع على ρ هختصر
+
+188
+00:22:41,820 --> 00:22:46,740
+الـ m مع الـ m يبقى عندي g tan θ
+
+189
+00:22:46,740 --> 00:22:51,620
+معناه بيساوي v rated هتكون
+
+190
+00:22:51,620 --> 00:23:02,840
+= √(g ρ tan θ) معناه أي شارع
+
+191
+00:23:02,840 --> 00:23:06,890
+بدخل دوران للشارع الـ rated speed بتكون =
+
+192
+00:23:06,890 --> 00:23:22,250
+√(g ρ tan θ) g في ρ طبعا ρ g
+
+193
+00:23:22,250 --> 00:23:28,550
+tan θ يعني في حالتنا هيكون الجذر
+
+194
+00:23:28,550 --> 00:23:32,310
+التربيعي لـ ρ
+
+195
+00:23:32,310 --> 00:23:42,220
+عندك 400 والـ g 32
+
+223
+00:27:16,730 --> 00:27:23,340
+بنزل هذا عندك ميو، هذه الـ force بتاعة الاحتكاك
+
+224
+00:27:23,340 --> 00:27:29,340
+يعني إذا أنت حركت بزول، شاشة شاشة شاشة و بيضلها زي
+
+225
+00:27:29,340 --> 00:27:32,840
+الـ force لحد ما بده يتحرك، لحد ما بده يتحرك، إيش
+
+226
+00:27:32,840 --> 00:27:43,080
+بنزل معاه الاحتكاك بيصير هذا ميو اس، و هذه إيش ميو
+
+227
+00:27:43,080 --> 00:27:43,320
+كي
+
+228
+00:27:46,320 --> 00:27:55,100
+واضحات لم كده من أقل من μs هذه
+
+229
+00:27:55,100 --> 00:28:06,460
+f هذه نحكي maximum speed عندها هي الساوية عندها
+
+230
+00:28:06,460 --> 00:28:10,460
+اتجاه الـ normal و
+
+231
+00:28:10,460 --> 00:28:13,480
+هذا اتجاه الـ y بالساوية
+
+232
+00:28:22,520 --> 00:28:34,980
+عندي هنا م a normal normal
+
+233
+00:28:34,980 --> 00:28:41,340
+direction، هعمل
+
+234
+00:28:41,340 --> 00:28:46,200
+summation of forces باتجاه الـ Y summation
+
+235
+00:28:46,200 --> 00:28:46,940
+of forces
+
+236
+00:28:55,790 --> 00:29:07,690
+باتجاه الـ y هتكون minus mg زائد R cosine θ
+
+237
+00:29:07,690 --> 00:29:17,510
+minus F sine θ بتساوي صفر، صح؟
+
+238
+00:29:24,110 --> 00:29:28,730
+أنا عندما أكتب معادلة أضع كل البيانات الاتجاهات
+
+239
+00:29:28,730 --> 00:29:39,610
+عشان أعرف أضع موجب ولا سالب، الآن الآن minus mg أو
+
+240
+00:29:39,610 --> 00:29:46,310
+خليني أضع mg على جهة، mg هتكون
+
+241
+00:29:46,310 --> 00:29:52,210
+تساوي R cosine θ، كل الحكاية اللي هنا عندي اللي
+
+242
+00:29:52,210 --> 00:30:04,270
+هو الـ F هتكون تساوي ميو أس في R minus
+
+243
+00:30:04,270 --> 00:30:20,430
+ميو أس في R sin θ، يعني الـ R هتكون تساوي MG على
+
+244
+00:30:20,430 --> 00:30:34,660
+cos θ - μs sin θ، الآن
+
+245
+00:30:34,660 --> 00:30:41,900
+هشوف الـ normal direction، صمّم الـ forces اتجاه
+
+246
+00:30:41,900 --> 00:30:46,680
+no direction، عشان أطلع الـ a normal، وبعدين أطلع الـ
+
+247
+00:30:46,680 --> 00:30:54,810
+maximum speed، هتكون تساوي m a normal باتجاه الـ
+
+248
+00:30:54,810 --> 00:31:01,910
+Normal Direction، هقول عندي F Cos θ
+
+249
+00:31:01,910 --> 00:31:14,470
+F Cos θ زائد R Sin θ بتساوي
+
+250
+00:31:14,470 --> 00:31:19,990
+M A
+
+251
+00:31:19,990 --> 00:31:33,630
+Normal، صح؟ الـ F هي عبارة عن ميو أس في R Cos θ زائد
+
+252
+00:31:33,630 --> 00:31:41,890
+R Sin θ بتساوي
+
+253
+00:31:41,890 --> 00:31:53,710
+M في A Normal، خليني أعوض عن R، أطلع R برّا، أعوض عنها
+
+254
+00:31:53,710 --> 00:32:00,570
+بـ μs
+
+255
+00:32:00,570 --> 00:32:07,710
+أس كوساين ثيتا زائد
+
+256
+00:32:07,710 --> 00:32:21,850
+ساين ثيتا على كوساين ثيتا minus ميو أس ساين ثيتا
+
+257
+00:32:25,040 --> 00:32:34,120
+بتساوي إيش؟ M a normal، الـ
+
+258
+00:32:34,120 --> 00:32:40,900
+a normal، معوض عنها، هي عبارة عن إيش؟ V تربيع ده
+
+259
+00:32:40,900 --> 00:32:54,080
+Vmax تربيع على ρ، صح؟ هتختصر الـ M مع الـ M، هتبقى الـ Vmax
+
+260
+00:32:59,670 --> 00:33:07,090
+هتساوي √ ρg
+
+261
+00:33:07,090 --> 00:33:12,570
+في
+
+262
+00:33:12,570 --> 00:33:23,810
+μs cos θ زائد sin θ على
+
+263
+00:33:27,870 --> 00:33:46,050
+cos θ - μs sin θ، كله تحت الجذر هذا
+
+264
+00:33:46,050 --> 00:33:49,990
+الـ Vmax، الآن دعونا نعوض، عوض
+
+265
+00:34:01,250 --> 00:34:06,490
+معناته Vmax هتكون
+
+266
+00:34:06,490 --> 00:34:15,270
+تساوي جذر التربيعي، ρ هي أربعماية في اتنين و
+
+267
+00:34:15,270 --> 00:34:23,290
+ثلاثين point اتنين، خلينا
+
+268
+00:34:23,290 --> 00:34:28,720
+نتعرف على μs point اتنين خمسة، مثلا، خلطة المؤسسة أو
+
+269
+00:34:28,720 --> 00:34:34,040
+bond تلاتة، خلينا نتبع bond تلاتة في bond تلاتة
+
+270
+00:34:34,040 --> 00:34:37,240
+هذا
+
+271
+00:34:37,240 --> 00:34:45,480
+جوا طبعا bond
+
+272
+00:34:45,480 --> 00:34:55,580
+تلاتة cos 18 في الحالة هذه زائد sin 18
+
+273
+00:34:59,460 --> 00:35:09,840
+على cosine الـ 18 ناقص تلاتة من عشرة sin
+
+274
+00:35:09,840 --> 00:35:13,160
+الـ 18
+
+275
+00:35:13,160 --> 00:35:17,080
+اسيبوها
+
+276
+00:35:17,080 --> 00:35:25,420
+أكمل
+
+277
+00:35:33,930 --> 00:35:40,650
+إذا الرقم مش منطقي، احكيهوش، 94
+
+278
+00:35:40,650 --> 00:35:49,670
+قدم
+
+279
+00:35:49,670 --> 00:35:54,370
+يعني
+
+280
+00:35:54,370 --> 00:35:54,830
+أربع
+
+281
+00:35:57,750 --> 00:36:03,230
+هذا الـ maximum، الآن لو نزلت السرعة عن الـ rated عن
+
+282
+00:36:03,230 --> 00:36:09,970
+الـ 64، هتحاول تنزلق للأسفل، معنى أن الـ friction
+
+283
+00:36:09,970 --> 00:36:17,010
+هتكون ليش؟ للأعلى، هتكون الـ V minimum، نفس
+
+284
+00:36:17,010 --> 00:36:21,670
+المعادلة هذه، بس اللي فيها friction، نعكس اتجاههم
+
+285
+00:36:21,670 --> 00:36:25,030
+بيصير
+
+286
+00:36:25,030 --> 00:36:33,220
+هذا minus وهذا plus، بيصير V minimum، الجذر
+
+287
+00:36:33,220 --> 00:36:48,160
+التربيعي لـ ρg في minus μs cosine θ زائد sin
+
+288
+00:36:48,160 --> 00:36:53,160
+θ على
+
+289
+00:36:55,500 --> 00:37:08,280
+cos θ زائد μs sin θ، عوض
+
+290
+00:37:08,280 --> 00:37:14,060
+عن الـ ρ والـ g وميو اس، يعني هتكون تساوي جذر
+
+291
+00:37:14,060 --> 00:37:17,200
+التربيعي لأربعماية
+
+292
+00:37:18,320 --> 00:37:26,620
+في 32.2 في minus point تلاتة كوساين الـ 18 زائد
+
+293
+00:37:26,620 --> 00:37:32,140
+ساين الـ 18، رد الفعل بتاعها دايمًا normal أعلى
+
+294
+00:37:32,140 --> 00:37:35,760
+على
+
+295
+00:37:35,760 --> 00:37:44,260
+كوساين الـ 18 زائد تلاتة من عشرة ساين الـ 18
+
+296
+00:37:53,650 --> 00:38:02,730
+17.1 قدم لكل
+
+297
+00:38:02,730 --> 00:38:07,790
+second، يعني
+
+298
+00:38:07,790 --> 00:38:15,170
+الـ V على هذا الدوران الـ highway هتكون أكبر
+
+299
+00:38:16,890 --> 00:38:28,190
+أو يساوي من سبعة عشر point one وأصغر أو يساوي أربعة
+
+300
+00:38:28,190 --> 00:38:36,750
+وتسعين point أربعة أربعة foot
+
+301
+00:38:36,750 --> 00:38:44,230
+per second، لازم تكون في الـ range هذا طبعًا
+
+302
+00:38:44,230 --> 00:38:50,300
+بين الـ rated والسبعة عشر، بيكون فيه friction، يعني بين
+
+303
+00:38:50,300 --> 00:38:56,740
+هذه وهذه، فيه friction، وبين
+
+304
+00:38:56,740 --> 00:39:05,760
+الـ rated والـ maximum، بكون فيه إيش؟ friction، يعني
+
+305
+00:39:05,760 --> 00:39:11,520
+أنا لما أصل السبعة عشر، يعني لو نزل السبعة عشر، هتنزل
+
+306
+00:39:11,520 --> 00:39:27,190
+لتحت، معاه، عند الـ 94، لو صارت 95، هتلاقي إنزلاق واضح، هي
+
+307
+00:39:27,190 --> 00:39:30,810
+الفكرة أنت أنا عملت لك شكل، لو أنت حددت الـ maximum
+
+308
+00:39:30,810 --> 00:39:36,710
+والـ minimum، وطبعًا أنت بتكون عارف خصائص الشارع
+
+309
+00:39:36,710 --> 00:39:43,150
+عارف معامل الاحتكاك، بتقدر تحدد إيش الزاوية θ
+
+310
+00:39:45,910 --> 00:39:50,470
+والـ ρ، يعني أنت بتصمم شارع، هيك أنت بيكون عندك
+
+311
+00:39:50,470 --> 00:39:54,010
+يا فطعة الشارع، والله أقصى سرعة قصوى كذا، والسرعة
+
+312
+00:39:54,010 --> 00:39:58,410
+الدنيا كذا، على الدورات ما نفعش تمشي برضه، تمشي سرعة
+
+313
+00:39:58,410 --> 00:40:09,870
+بطيئة، بطيئة كتير، هاي
+
+314
+00:40:09,870 --> 00:40:10,650
+مش هذا الـ θ
+
+315
+00:40:18,130 --> 00:40:20,430
+ماشي،.. تاكل عافية
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uX8OcKPJUaM_postprocess.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uX8OcKPJUaM_postprocess.srt
new file mode 100644
index 0000000000000000000000000000000000000000..b1ddc5e4918f81032e888b43e93db5972e88f925
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/uX8OcKPJUaM_postprocess.srt
@@ -0,0 +1,1260 @@
+1
+00:00:05,250 --> 00:00:07,910
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:07,910 --> 00:00:12,070
+وبركاته هنكمل في chapter اتنين مادة ال dynamical
+
+3
+00:00:12,070 --> 00:00:16,270
+kinetics of particles المحاضرة الفاترة حلينا تلاتة
+
+4
+00:00:16,270 --> 00:00:19,250
+examples هنكمل هال two examples و بعدها هنخش على
+
+5
+00:00:19,250 --> 00:00:25,460
+ال section اللي بعده ال example المبين انديthe pop
+
+6
+00:00:25,460 --> 00:00:29,620
+of a two-meter pendulum describes an arc of a
+
+7
+00:00:29,620 --> 00:00:35,140
+circle in a vertical plane عندي كورة بندول معلقة
+
+8
+00:00:35,140 --> 00:00:41,180
+بحبل طوله مترين طبعا البندول لما بدي اتحرك المصار
+
+9
+00:00:41,180 --> 00:00:46,780
+بتاع الكورة هيكوناش جزء من دائرة جزء من دائرة
+
+10
+00:00:46,780 --> 00:00:54,280
+مسقطها مترينif the tension in the rod is 2.5 times
+
+11
+00:00:54,280 --> 00:00:59,000
+the weight of the pub يعني كان عنده ال tension في
+
+12
+00:00:59,000 --> 00:01:09,240
+الحبل بسوة 2.5 mg for
+
+13
+00:01:09,240 --> 00:01:11,500
+the position shown يعني لما كانت سوية تلاتين درجة
+
+14
+00:01:11,500 --> 00:01:16,710
+كان الشد بسوة 2.5 الوزنfind the velocity and
+
+15
+00:01:16,710 --> 00:01:21,430
+acceleration of the ball in that position اوجد ال
+
+16
+00:01:21,430 --> 00:01:27,450
+velocity و ال acceleration في هذا الموقع هعمل free
+
+17
+00:01:27,450 --> 00:01:34,130
+body diagram هاي
+
+18
+00:01:34,130 --> 00:01:43,090
+الكورة فى عندى شد بالزاوية
+
+19
+00:01:47,490 --> 00:01:54,470
+تلاتين درجة فعندي الوزن M
+
+20
+00:01:54,470 --> 00:02:01,050
+G فحالي زي أحسن لي أشتغل tangential و normal
+
+21
+00:02:01,050 --> 00:02:08,590
+coordinate صح هحكي هاي عندي هذا
+
+22
+00:02:08,590 --> 00:02:13,730
+ال tangential direction وهذا
+
+23
+00:02:13,730 --> 00:02:15,990
+normal direction
+
+24
+00:02:21,370 --> 00:02:30,330
+حيث ساوى هذا
+
+25
+00:02:30,330 --> 00:02:41,190
+ال normal هذا الزائج تلاتين هذا
+
+26
+00:02:41,190 --> 00:02:42,270
+tangential direction
+
+27
+00:02:49,630 --> 00:02:54,150
+طبعا هنا هحلل الوزن
+
+28
+00:02:54,150 --> 00:02:59,830
+في عندها حكومة لاندهان مج
+
+29
+00:02:59,830 --> 00:03:16,510
+ثانية مادية ثتا و هنا مركبة تانية مج ثانية مادية
+
+30
+00:03:16,510 --> 00:03:16,850
+ثتا
+
+31
+00:03:22,460 --> 00:03:28,600
+هنا دي ام ايه
+
+32
+00:03:28,600 --> 00:03:35,320
+تنجينشال وهنا
+
+33
+00:03:35,320 --> 00:03:48,240
+دي ام ايه normal هاخد
+
+34
+00:03:48,240 --> 00:03:49,240
+sumational forces
+
+35
+00:03:53,970 --> 00:03:58,490
+باتجاه tangential وباتجاه normal directions
+
+36
+00:03:58,490 --> 00:04:04,490
+summation of forces باتجاه
+
+37
+00:04:04,490 --> 00:04:12,990
+tangential تحكي هذا هو الموجب بالساوية M A
+
+38
+00:04:12,990 --> 00:04:18,810
+tangential باتجاه tangential عندي ايش M G Sin
+
+39
+00:04:18,810 --> 00:04:21,550
+Theta صح M
+
+40
+00:04:23,890 --> 00:04:29,010
+جي صين ثيتا بستو
+
+41
+00:04:29,010 --> 00:04:35,730
+ام ات انجنشة هتروح
+
+42
+00:04:35,730 --> 00:04:40,030
+اما ام
+
+43
+00:04:40,030 --> 00:04:43,470
+بلد
+
+44
+00:04:43,470 --> 00:04:44,390
+ات انجنشة
+
+45
+00:04:49,130 --> 00:04:56,050
+يستوي جي ساين ثيتا جي ساين ثيتا يعني هتساوي الجي
+
+46
+00:04:56,050 --> 00:04:59,590
+اللي هي تسعة point تمانية سفر ستة ساين التلاتين هو
+
+47
+00:04:59,590 --> 00:05:08,030
+ايش نص يعني اربع point اللي
+
+48
+00:05:08,030 --> 00:05:16,080
+هي متر per second squareلان حامل نفس الاشي بس في
+
+49
+00:05:16,080 --> 00:05:23,320
+اتجاه ال normal direction صمشي لل F normal
+
+50
+00:05:23,320 --> 00:05:32,480
+و هاي اتجاه ال normal direction بالسوء M A normal
+
+51
+00:05:32,480 --> 00:05:41,000
+فين ده هيكون ال tension ناقص
+
+52
+00:05:41,000 --> 00:05:42,700
+Mg
+
+53
+00:05:44,750 --> 00:05:52,850
+cos θ هو m a normal ال T هو معطين T حكالم يسوى
+
+54
+00:05:52,850 --> 00:05:59,870
+اتنين و نص ال Mg هنعود على اتنين و نص Mg
+
+55
+00:05:59,870 --> 00:06:10,230
+minus Mg cos θ هو M a normal هختصر ال M حدثي ان
+
+56
+00:06:10,230 --> 00:06:22,070
+عندي a normal سوى اتنين و نصG minus G cosine theta
+
+57
+00:06:22,070 --> 00:06:32,810
+يعني نهر نص هطلع G برا هتكون عندك تسعة point
+
+58
+00:06:32,810 --> 00:06:43,110
+تمانية سفر ستة في نهر نص minus cosine التلاتين
+
+59
+00:06:43,110 --> 00:06:45,270
+اللي هي point تمانية ستة ستة صح؟
+
+60
+00:06:51,390 --> 00:07:01,210
+انا بتطلع ال a normal حد يحسبه كم؟
+
+61
+00:07:01,210 --> 00:07:05,150
+meter
+
+62
+00:07:05,150 --> 00:07:10,470
+per second square انا
+
+63
+00:07:10,470 --> 00:07:18,870
+صارت ان ال a tangential معروفة و
+
+64
+00:07:18,870 --> 00:07:26,600
+a normal معروفةده انا عندي هاي الكورة هاي
+
+65
+00:07:26,600 --> 00:07:31,780
+ال vertical هاي
+
+66
+00:07:31,780 --> 00:07:45,040
+الزوايا التلاتين ال
+
+67
+00:07:45,040 --> 00:07:46,360
+a normal هاي ال a normal
+
+68
+00:07:57,400 --> 00:08:12,480
+صح؟ وهذا الـ A tangential المعنى
+
+69
+00:08:12,480 --> 00:08:17,500
+أن هذه المحصلة هي الـ x' كلية صح؟ هذا A
+
+70
+00:08:24,710 --> 00:08:30,990
+خلّيني أسمي الزاوية هذه Beta
+
+71
+00:08:30,990 --> 00:08:36,830
+Beta
+
+72
+00:08:36,830 --> 00:08:41,090
+شو يساوي؟
+
+73
+00:08:41,090 --> 00:08:49,450
+يساوي 10 inverse إلى AT على AN
+
+74
+00:08:53,210 --> 00:08:58,690
+يعني هتكون ten inverse eighty
+
+75
+00:08:58,690 --> 00:09:05,390
+اللي هي اربعة point تسعة سفر تلاتة على a نوبة من
+
+76
+00:09:05,390 --> 00:09:11,470
+ستاش point او اتنين اتنين ايه كم تطلع ال beta
+
+77
+00:09:11,470 --> 00:09:16,890
+سبعتاشر
+
+78
+00:09:16,890 --> 00:09:22,510
+درجة سبعتاشر point
+
+79
+00:09:26,090 --> 00:09:33,290
+خلاص degrees سبعتاشر درجة هذا ال beta الان قيمة ال
+
+80
+00:09:33,290 --> 00:09:38,710
+acceleration ال a الكليه ايش هتساوي جذر التربيع
+
+81
+00:09:38,710 --> 00:09:48,330
+ايه ال A T تربيع زاد A normal تربيع يعني هتكون جذر
+
+82
+00:09:48,330 --> 00:09:56,990
+التربيع ايهلاربع point تسعة سفر تلاتة تربيع زاد
+
+83
+00:09:56,990 --> 00:10:05,030
+ستاش point او اتنين اتنين تربيع ستاش
+
+84
+00:10:05,030 --> 00:10:09,390
+meter
+
+85
+00:10:09,390 --> 00:10:15,970
+per second square ما
+
+86
+00:10:15,970 --> 00:10:17,110
+نتوقع نحكي ان a
+
+87
+00:10:19,780 --> 00:10:29,340
+هتكون تساوي قيمتها ل 16.75 meter
+
+88
+00:10:29,340 --> 00:10:34,380
+per second square و بتعمل مع الرأس يعني عندي 30 زي
+
+89
+00:10:34,380 --> 00:10:37,800
+ال beta صح؟ هيكون هاي الرأس
+
+90
+00:10:45,790 --> 00:10:49,870
+الزاوية ده هتكون تلاتين زي السبعتاش سبعة واربعين
+
+91
+00:10:49,870 --> 00:11:02,510
+درجة هذه ال A طب بده ال V في هذا ال position ال
+
+92
+00:11:02,510 --> 00:11:12,830
+A normal بسوة V square على R اللي هي ال يعني ال V
+
+93
+00:11:15,270 --> 00:11:22,170
+قيمتها هتكون جزر التربيعي لان في قلل هتكون جزر
+
+94
+00:11:22,170 --> 00:11:34,310
+التربيعي لستاش وانتقل اتنين اتنين في قلل هي اتنين
+
+95
+00:11:34,310 --> 00:11:40,050
+اعطيني
+
+96
+00:11:40,050 --> 00:11:43,770
+كم الرقم ميتر
+
+97
+00:11:45,640 --> 00:12:01,560
+per second طب ايش اتجاهها اتجاه الحركة هتكون
+
+98
+00:12:01,560 --> 00:12:10,780
+مماس يعني هتكون ال V هتكون ساوية خمسة point ستة
+
+99
+00:12:10,780 --> 00:12:13,880
+ستة واحد meter per second
+
+100
+00:12:16,560 --> 00:12:23,800
+هتكون تجارة حركتنا على القفق و
+
+101
+00:12:23,800 --> 00:12:41,060
+الزاوية
+
+102
+00:12:41,060 --> 00:12:52,250
+هذه تلاتين درجةليش ماكانش العكس؟ مش عشان انا
+
+103
+00:12:52,250 --> 00:12:59,510
+افرضها زي هيك لإن طلعت ال a tangential هي اتجاه ال
+
+104
+00:12:59,510 --> 00:13:02,890
+a tangential طلعت موجة
+
+105
+00:13:12,550 --> 00:13:16,770
+لأ مش ضروري تكون اتجاه ال acceleration نفس اتجاه
+
+106
+00:13:16,770 --> 00:13:23,590
+ال A tangential فهو اذا كان نازل هتكون هاي اتجاه
+
+107
+00:13:23,590 --> 00:13:27,230
+ال V اذا كان طالع هتكون العكس
+
+108
+00:13:42,110 --> 00:13:50,710
+حسب كان نازل او طالع في اي سؤال؟
+
+109
+00:13:50,710 --> 00:13:54,210
+طيب نحل سؤال تاني
+
+110
+00:14:36,080 --> 00:14:42,220
+في زي ما انتوا شايفين عندى سيارة بتلف ع دوران
+
+111
+00:14:42,220 --> 00:14:49,200
+الشارع ميل و هى بتلف هيك لما تدخل اي خط سريع بيكون
+
+112
+00:14:49,200 --> 00:14:54,520
+فيه ميل الشارع بيكون الأفق فهى
+
+113
+00:14:54,520 --> 00:14:59,420
+الداخلة ع دوران determine
+
+114
+00:14:59,420 --> 00:15:03,240
+the rated speed of a highway curve of radius rho
+
+115
+00:15:04,360 --> 00:15:08,820
+equal 400 قدم banged through an angle theta equal
+
+116
+00:15:08,820 --> 00:15:13,160
+18 درجة الشارع
+
+117
+00:15:13,160 --> 00:15:18,160
+ميل بزاوية 18 درجة و بلف في arc معناته من ال top
+
+118
+00:15:18,160 --> 00:15:26,520
+view من ال top view هيكون انديش زي هيك انا زي ..
+
+119
+00:15:26,520 --> 00:15:29,140
+يعني هو كان ماشي في اللحظة هذه و بلف و انا طلعت
+
+120
+00:15:29,140 --> 00:15:32,940
+عليه من ورا انا طلعت عليه من ال top view من ال top
+
+121
+00:15:32,940 --> 00:15:33,660
+view هيكون
+
+122
+00:15:36,320 --> 00:15:41,740
+في arc والسيارة
+
+123
+00:15:41,740 --> 00:15:50,460
+كانت من ال top view هتكون هاي السيارة من
+
+124
+00:15:50,460 --> 00:15:58,780
+ال front view هشوف أيش السيارة زي هيك هذا
+
+125
+00:15:58,780 --> 00:16:12,230
+front view هذا ال top view بدور في arcنص قطرة ال
+
+126
+00:16:12,230 --> 00:16:15,690
+raw أربعمائة
+
+127
+00:16:15,690 --> 00:16:26,630
+قدم تعريف
+
+128
+00:16:26,630 --> 00:16:30,800
+ال rate of speed of a banked highway curveهي ال
+
+129
+00:16:30,800 --> 00:16:34,300
+speed at which a car should travel if no lateral
+
+130
+00:16:34,300 --> 00:16:39,360
+friction force is to be exerted on its wheel هي
+
+131
+00:16:39,360 --> 00:16:44,880
+السرعة اللي هتمشي فيها السيارة بحيث مش هتكون فيه
+
+132
+00:16:44,880 --> 00:16:48,160
+friction على العجلات friction جانبي يعني لأ مش
+
+133
+00:16:48,160 --> 00:16:51,980
+هتكون في محاولة لأنك تطلع زي هيك أو تنزل يعني
+
+134
+00:16:51,980 --> 00:16:55,820
+مافيش فيه friction هاي معناته هاي معناته ال rated
+
+135
+00:16:55,820 --> 00:17:01,530
+speed هذا ال rated speed لل highwayيعني هي أقصى
+
+136
+00:17:01,530 --> 00:17:06,810
+سرعة ممكن مشيها بحيث انه مايكونش فيه friction على
+
+137
+00:17:06,810 --> 00:17:11,830
+العجلات حاجة أرسم free pedagram طبعا هطلع من ال
+
+138
+00:17:11,830 --> 00:17:16,350
+front view السيارة
+
+139
+00:17:16,350 --> 00:17:19,510
+هاي
+
+140
+00:17:19,510 --> 00:17:28,790
+السيارة ايش ال force اللي بتأثر عليها الوزن
+
+141
+00:17:34,140 --> 00:17:40,280
+الوزن اللي هو MG وردة
+
+142
+00:17:40,280 --> 00:17:47,600
+الفعل من الأرض ال
+
+143
+00:17:47,600 --> 00:17:55,840
+R وانا بحكي انا بدي احسب ال rate of speed يعني ال
+
+144
+00:17:55,840 --> 00:17:58,140
+rate of speed مايكون فيه friction مافيش فيه
+
+145
+00:17:58,140 --> 00:18:02,480
+friction عندنايعني مش هتكون في محاولة ان السيارة
+
+146
+00:18:02,480 --> 00:18:07,980
+تنزلق لأعلى او تنزلق لأسفل هذه هي ال rated speed
+
+147
+00:18:07,980 --> 00:18:17,520
+يعني سرعة معينة بيكون مافيش friction طبعا
+
+148
+00:18:17,520 --> 00:18:23,160
+السيارة من ال front view ميل هيك و تلف معناته في
+
+149
+00:18:23,160 --> 00:18:27,320
+مركز هنا بتحاول تدور حواليه في مركز حواليه معناته
+
+150
+00:18:27,320 --> 00:18:28,920
+هذا ال normal direction
+
+151
+00:18:32,700 --> 00:18:37,260
+هذا ال normal direction و ال tangential بيبين في
+
+152
+00:18:37,260 --> 00:18:41,260
+ال top view عندى tangential انا بتعالى من ال front
+
+153
+00:18:41,260 --> 00:18:43,420
+هي بتعالى من ال top view بشوف ال tangential
+
+154
+00:18:43,420 --> 00:18:49,620
+direction بيبين عندى ايش ال normal direction و ال
+
+155
+00:18:49,620 --> 00:18:54,360
+tangential عمودي على الصفحه هاي ال tangential و
+
+156
+00:18:54,360 --> 00:18:59,940
+هاد هيك يمثل ال y مش ال tangential هاد حد ساوى
+
+157
+00:19:02,870 --> 00:19:06,790
+هذه الزاوية بدي
+
+158
+00:19:06,790 --> 00:19:10,850
+أسميها theta في
+
+159
+00:19:10,850 --> 00:19:17,630
+حالتنا ال theta أنا اللي هي 18 هاي عندي السيارة
+
+160
+00:19:17,630 --> 00:19:22,550
+هذه
+
+161
+00:19:22,550 --> 00:19:29,870
+الزاوية theta عندي هذا ال normal direction وهذا
+
+162
+00:19:29,870 --> 00:19:33,740
+ال Yو ال tangential احنا كان عمودي على الصفحة
+
+163
+00:19:33,740 --> 00:19:40,520
+حيكون
+
+164
+00:19:40,520 --> 00:19:47,000
+في عندي هين م
+
+165
+00:19:47,000 --> 00:19:55,400
+a normal و م a tangential عمودي على الصفحة طيب
+
+166
+00:20:04,270 --> 00:20:07,290
+هأخد estimation في اتجاه ال Y estimation for اتجاه
+
+167
+00:20:07,290 --> 00:20:15,070
+ال Y هي
+
+168
+00:20:15,070 --> 00:20:20,330
+اتجاه الموجب يستوى
+
+169
+00:20:20,330 --> 00:20:29,430
+M Ay اللي هي بتستوى سفر صح اتجاه ال Y عندي اللي هو
+
+170
+00:20:29,430 --> 00:20:32,330
+minus Mg
+
+171
+00:20:40,510 --> 00:20:51,650
+زاد R Cos θ بيساوي سفر يعني
+
+172
+00:20:51,650 --> 00:20:58,230
+R هتكون ساوي MG على Cos θ
+
+173
+00:21:07,450 --> 00:21:12,970
+نعم ماشي هخليها في theta انا بشكل عام الان هاخد
+
+174
+00:21:12,970 --> 00:21:20,710
+صميح ال forces صميح
+
+175
+00:21:20,710 --> 00:21:30,370
+ال forces باتجاه ال normal بالساوي
+
+176
+00:21:30,370 --> 00:21:32,830
+MA normal
+
+177
+00:21:35,820 --> 00:21:47,620
+هيكون عندى هتكون اتجهة ال force ر سين ثيتا صح؟
+
+178
+00:21:47,620 --> 00:21:53,820
+ر سين
+
+179
+00:21:53,820 --> 00:21:58,100
+ثيتا بالموجة
+
+180
+00:21:58,100 --> 00:22:00,500
+بالهي الموجة اللي على الشمال اتجاه النورة ر سين
+
+181
+00:22:00,500 --> 00:22:03,800
+ثيتا بالساوية ام
+
+182
+00:22:06,240 --> 00:22:12,040
+A normal لأن انا هعوض عن R اللي هي MG على cos θ MG
+
+183
+00:22:12,040 --> 00:22:15,520
+على
+
+184
+00:22:15,520 --> 00:22:23,580
+cos θ في sin θ بالسوء
+
+185
+00:22:23,580 --> 00:22:30,520
+M A normal ايش بالساوية اللي هي V rated في الحالة
+
+186
+00:22:30,520 --> 00:22:32,720
+دي V تربية V rated
+
+187
+00:22:35,360 --> 00:22:41,820
+تربيع على رو هختصر
+
+188
+00:22:41,820 --> 00:22:46,740
+ال M مع ال M بالسيراندي على الشمال G tan theta
+
+189
+00:22:46,740 --> 00:22:51,620
+معناه بالسيراندي V rated هتكون
+
+190
+00:22:51,620 --> 00:23:02,840
+تساوي الجزر التربيعي ل G tan theta معناته أي شارع
+
+191
+00:23:02,840 --> 00:23:06,890
+بدخل دوران لشارعالـ Rate of Speed بتكون استواء
+
+192
+00:23:06,890 --> 00:23:22,250
+الجزر التربيعي لجي تان ثيتا جي في رو طبعا رو جي
+
+193
+00:23:22,250 --> 00:23:28,550
+تان ثيتا يعني في الحالة بتاعتنا هيكون الجزر
+
+194
+00:23:28,550 --> 00:23:32,310
+التربيعي الرو
+
+195
+00:23:32,310 --> 00:23:42,220
+عندك أربعميةوالـ G 32 point 2 في تاني الطمنتاش
+
+196
+00:23:42,220 --> 00:23:48,880
+account
+
+197
+00:23:48,880 --> 00:23:49,300
+اطلع
+
+198
+00:24:09,760 --> 00:24:16,940
+اربع و ستين انت
+
+199
+00:24:16,940 --> 00:24:26,700
+طبعا تلاحظ كان ارستين مول سبعة واحد يعني
+
+200
+00:24:26,700 --> 00:24:31,380
+تسعة و ستين هي نيتر
+
+201
+00:24:39,510 --> 00:24:46,830
+second square هذا ال rate of speed معناته لو
+
+202
+00:24:46,830 --> 00:24:53,350
+السرعة زالت عن 64 point 9 point 6 9 هتحاول السرعة
+
+203
+00:24:53,350 --> 00:24:59,430
+تترد لبرا صح؟ معناه ان ال friction هتكون لتحت لو
+
+204
+00:24:59,430 --> 00:25:04,770
+كانت السرعة أقل من 64 هتحاول تنزل لتحت
+
+205
+00:25:08,760 --> 00:25:13,100
+هتحاول تنزل تحت معناته ال friction الأعلى ماشي
+
+206
+00:25:13,100 --> 00:25:17,700
+معناته برضه السيارة فيها minimum speed تمشي عليها
+
+207
+00:25:17,700 --> 00:25:24,320
+وفي maximum speed في minimum speed وفي maximum
+
+208
+00:25:24,320 --> 00:25:30,260
+speed طيب نعم بال foot
+
+209
+00:25:40,990 --> 00:25:45,850
+foot per second يعني حوالي عشرين متر في الثانية
+
+210
+00:25:45,850 --> 00:25:55,010
+يعني حوالي سبعين كيلو الساعة طب
+
+211
+00:25:55,010 --> 00:25:59,650
+لو حاولت بدود ال maximum allowable speed على
+
+212
+00:25:59,650 --> 00:26:03,910
+الكيرف هذا ال maximum allowable speed على الكيرف
+
+213
+00:26:03,910 --> 00:26:07,190
+هذا هروح اعمل free budget diagram نفسه
+
+214
+00:26:20,190 --> 00:26:26,630
+max speed اذا اذا بزود السرعة هتحاول تطرد لبرا صح
+
+215
+00:26:26,630 --> 00:26:39,590
+مع ان ال friction هكون عندي
+
+216
+00:26:39,590 --> 00:26:46,130
+هين R عندي
+
+217
+00:26:46,130 --> 00:26:46,390
+هين
+
+218
+00:26:49,230 --> 00:26:55,570
+م جي لأن هي هتكون على وشك أنها تنزلق مش هتنزلق
+
+219
+00:26:55,570 --> 00:27:00,450
+معناته باستخدار حالة معامل احتكاك ال استاتيكي ولا
+
+220
+00:27:00,450 --> 00:27:06,510
+ال dynamical ال استاتيكي ما صارت حركة لأن معامل
+
+221
+00:27:06,510 --> 00:27:13,610
+احتكاك بيتمد على السرعة إذا انت بتضل
+
+222
+00:27:13,610 --> 00:27:16,730
+معامل احتكاك زيدي زيدي زيدي زيدي لحد ما يصير حركة
+
+223
+00:27:16,730 --> 00:27:23,340
+بنزل هذا عندك ميوو هذه ال force بتاعة الاحتكاك
+
+224
+00:27:23,340 --> 00:27:29,340
+يعني اذا انت حركه بزول شاشة شاشة شاشة و بيضلها زي
+
+225
+00:27:29,340 --> 00:27:32,840
+ال force لحد ما بده يتحرك لحد ما بده يتحرك ايش
+
+226
+00:27:32,840 --> 00:27:43,080
+بنزل معاه الاحتكاك بيصير هذا ميو اس و هذه ايش ميو
+
+227
+00:27:43,080 --> 00:27:43,320
+كي
+
+228
+00:27:46,320 --> 00:27:55,100
+واضحات لم كده من أقل من mus هذه
+
+229
+00:27:55,100 --> 00:28:06,460
+f هذه نحكي maximum speed عندها هي الساوية عندها
+
+230
+00:28:06,460 --> 00:28:10,460
+اتجاه ال normal و
+
+231
+00:28:10,460 --> 00:28:13,480
+هذا اتجاه ال y بالساوية
+
+232
+00:28:22,520 --> 00:28:34,980
+عندي هنا م a normal normal
+
+233
+00:28:34,980 --> 00:28:41,340
+direction هعمل
+
+234
+00:28:41,340 --> 00:28:46,200
+summation of forces باتجاه ال Y summation
+
+235
+00:28:46,200 --> 00:28:46,940
+of forces
+
+236
+00:28:55,790 --> 00:29:07,690
+باتجاه ال y هتكون minus mg زاد R cosine theta
+
+237
+00:29:07,690 --> 00:29:17,510
+minus F sine theta بتستوى صفر صح؟
+
+238
+00:29:24,110 --> 00:29:28,730
+أنا عندما أكتب معادل أضع كل البيانات الاتجاهات
+
+239
+00:29:28,730 --> 00:29:39,610
+عشان أعرف أضع موجب ولا سالب الان الان minus mg او
+
+240
+00:29:39,610 --> 00:29:46,310
+خليني أضع mg على جهة mg هتكون
+
+241
+00:29:46,310 --> 00:29:52,210
+تساوي R cosine theta كل الحكاية اللي هنا عندى اللي
+
+242
+00:29:52,210 --> 00:30:04,270
+هو ال Fهتكون تستوى ميو أس في R minus
+
+243
+00:30:04,270 --> 00:30:20,430
+ميو أس في R sin θ يعني ال R هتكون تستوى MG على
+
+244
+00:30:20,430 --> 00:30:34,660
+cos θ-mu s sin θ الان
+
+245
+00:30:34,660 --> 00:30:41,900
+هشف ال normal direction صممش ال forces اتجاه
+
+246
+00:30:41,900 --> 00:30:46,680
+no direction عشان اطلع ال a normal و بعدين اطلع ال
+
+247
+00:30:46,680 --> 00:30:54,810
+maximum speed هتكون تستوى m a normalتجاه الـ
+
+248
+00:30:54,810 --> 00:31:01,910
+Normal Direction هقول عندي F Cos Theta
+
+249
+00:31:01,910 --> 00:31:14,470
+F Cos Theta زائد R Sin Theta بتساوي
+
+250
+00:31:14,470 --> 00:31:19,990
+M A
+
+251
+00:31:19,990 --> 00:31:33,630
+Normal صحالـ F هي عبارة عن مي و أس في R Cos θ زاد
+
+252
+00:31:33,630 --> 00:31:41,890
+R Sin θ بتساوي
+
+253
+00:31:41,890 --> 00:31:53,710
+M في A Normal خلّيني أعوض عن R طلع R براعوّل عنها
+
+254
+00:31:53,710 --> 00:32:00,570
+مج ميو
+
+255
+00:32:00,570 --> 00:32:07,710
+أس كوسين ثيتا زائد
+
+256
+00:32:07,710 --> 00:32:21,850
+صين ثيتا على كوسين ثيتا minus ميو أس صين ثيتا
+
+257
+00:32:25,040 --> 00:32:34,120
+بتستوى ايه اش ام a normal ال
+
+258
+00:32:34,120 --> 00:32:40,900
+a normal معودة عنها هي عبارة عن ايه اش V تربيع ده
+
+259
+00:32:40,900 --> 00:32:54,080
+Vmax تربيع على روح صح هتقتصر ال M حسين ده ال Vmax
+
+260
+00:32:59,670 --> 00:33:07,090
+هتساوى رو جي
+
+261
+00:33:07,090 --> 00:33:12,570
+في ال
+
+262
+00:33:12,570 --> 00:33:23,810
+US cos θ زد sin θ على
+
+263
+00:33:27,870 --> 00:33:46,050
+cos θ minus mus sin θ كله تحتاش الجدر هذا
+
+264
+00:33:46,050 --> 00:33:49,990
+ال Vmax الآن دعونا نعوض عوضه
+
+265
+00:34:01,250 --> 00:34:06,490
+معناته Vmax هتكون
+
+266
+00:34:06,490 --> 00:34:15,270
+ساوى جزر التربيعي role هي أربعمية في اتنين و
+
+267
+00:34:15,270 --> 00:34:23,290
+تلاتين point اتنين خلنا
+
+268
+00:34:23,290 --> 00:34:28,720
+نتعرف on US point اتنين خمسة مثلاخلطة المؤسسة أو
+
+269
+00:34:28,720 --> 00:34:34,040
+bond تلاتة خلونا نتبع bond تلاتة في bond تلاتة
+
+270
+00:34:34,040 --> 00:34:37,240
+هذا
+
+271
+00:34:37,240 --> 00:34:45,480
+جوا طبعا bond
+
+272
+00:34:45,480 --> 00:34:55,580
+تلاتة cos 18 في الحالة هذه زائد sin 18
+
+273
+00:34:59,460 --> 00:35:09,840
+على cosine الطمنتاش ناقص تلاتة من عشرة sin
+
+274
+00:35:09,840 --> 00:35:13,160
+الطمنتاش
+
+275
+00:35:13,160 --> 00:35:17,080
+اسيبوها
+
+276
+00:35:17,080 --> 00:35:25,420
+اكم
+
+277
+00:35:33,930 --> 00:35:40,650
+إذا الرقم مش منطقي تحكيوهوش 94
+
+278
+00:35:40,650 --> 00:35:49,670
+قدم
+
+279
+00:35:49,670 --> 00:35:54,370
+يعني
+
+280
+00:35:54,370 --> 00:35:54,830
+أربع
+
+281
+00:35:57,750 --> 00:36:03,230
+هذا ال maximum الان لو نزلت الصرعة عن ال rated عن
+
+282
+00:36:03,230 --> 00:36:09,970
+ال 64 هتحاول تنزلق للأسفل معنى ان ال friction
+
+283
+00:36:09,970 --> 00:36:17,010
+هتكون ليش للأعلى هتكون ال V minimum نفس
+
+284
+00:36:17,010 --> 00:36:21,670
+المعادلة هذه بس اللي فيها friction تعكس اتجاههم
+
+285
+00:36:21,670 --> 00:36:25,030
+بيصير
+
+286
+00:36:25,030 --> 00:36:33,220
+هذا minus وهذا plusبصير V minimum الجزر
+
+287
+00:36:33,220 --> 00:36:48,160
+التربيعي لرو جي في minus mus cosine theta زائد sin
+
+288
+00:36:48,160 --> 00:36:53,160
+theta على
+
+289
+00:36:55,500 --> 00:37:08,280
+cos θ زائد mus sin θ عوض
+
+290
+00:37:08,280 --> 00:37:14,060
+عن ال رو والجي وميو اس يعني هتكون تساوي جزر
+
+291
+00:37:14,060 --> 00:37:17,200
+التربيه لاربعمية
+
+292
+00:37:18,320 --> 00:37:26,620
+فى 32.2 فى minus point تلاتة cosine الطمنتاش زاد
+
+293
+00:37:26,620 --> 00:37:32,140
+sin الطمنتاش رد الفئة بتوارش تجه دايما normal أعلى
+
+294
+00:37:32,140 --> 00:37:35,760
+على
+
+295
+00:37:35,760 --> 00:37:44,260
+cosine الطمنتاش زاد تلاتة من عشرة sin الطمنتاش
+
+296
+00:37:53,650 --> 00:38:02,730
+17.1 قدم لكل
+
+297
+00:38:02,730 --> 00:38:07,790
+second يعني
+
+298
+00:38:07,790 --> 00:38:15,170
+ال V على هذا الدوران ال highway هتكون أكبر
+
+299
+00:38:16,890 --> 00:38:28,190
+أو يساوي من سبعتاش point one و أصغر أو يساوي أربعة
+
+300
+00:38:28,190 --> 00:38:36,750
+تسعين point أربعة أربعة foot
+
+301
+00:38:36,750 --> 00:38:44,230
+per second لازم تكون في ال range هذا طبعا
+
+302
+00:38:44,230 --> 00:38:50,300
+بين ال rated والسبعتاشبكون فيه friction يعني بين
+
+303
+00:38:50,300 --> 00:38:56,740
+هذه و هذه فيه friction وبين
+
+304
+00:38:56,740 --> 00:39:05,760
+ال rated و ال maximum بكون فيه ايش friction يعني
+
+305
+00:39:05,760 --> 00:39:11,520
+انا لما اصل السبعتاش يعني لو نزل السبعتاش هتنزل
+
+306
+00:39:11,520 --> 00:39:27,190
+لتحت معاهعند ال 94 لو صارت 95 حسين انزلاق واضح هى
+
+307
+00:39:27,190 --> 00:39:30,810
+الفكرة انت انا عملت لكى شكل لو انت حددت ال maximum
+
+308
+00:39:30,810 --> 00:39:36,710
+و ال minimum و طبعا انت بتكون عارف خصائص الشارع
+
+309
+00:39:36,710 --> 00:39:43,150
+عارف معامل الاحتكاك بتقدر تحدد اش الزاوية theta
+
+310
+00:39:45,910 --> 00:39:50,470
+والروح يعني انت بتصمم شارع هيك انت بيكون كتلك
+
+311
+00:39:50,470 --> 00:39:54,010
+يافطع الشارع و الله أقص الصراع القصوى كذا و الصراع
+
+312
+00:39:54,010 --> 00:39:58,410
+الدنيا كذا ع الدورانات مانفعش تمشي برضه تمشي صراع
+
+313
+00:39:58,410 --> 00:40:09,870
+بطيئة بطيئة كتير هاي
+
+314
+00:40:09,870 --> 00:40:10,650
+مش هاد ال theta
+
+315
+00:40:18,130 --> 00:40:20,430
+ماشي .. تاكل عافية
+
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/wccqpG2QZQo.srt b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/wccqpG2QZQo.srt
new file mode 100644
index 0000000000000000000000000000000000000000..f9adc950dbacabb3ddc3c0efbba30a23680b1343
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/wccqpG2QZQo.srt
@@ -0,0 +1,1456 @@
+
+1
+00:00:05,420 --> 00:00:08,220
+بسم الله الرحمن الرحيم السلام عليكم ورحمة الله
+
+2
+00:00:08,220 --> 00:00:13,280
+وبركاته هنكمل في مادة الدايناميكا لحتى اللحظة
+
+3
+00:00:13,280 --> 00:00:16,260
+أخذنا relative motion عملنا velocity analysis
+
+4
+00:00:16,260 --> 00:00:22,560
+acceleration analysis ل rigid bodies اليوم هندخل
+
+5
+00:00:22,560 --> 00:00:27,560
+على موضوع جديد يعني هيكون في عندي ال frames
+
+6
+00:00:27,560 --> 00:00:33,470
+المتحركة. الآن في عندي frame ثابت اللي هو X Capital
+
+7
+00:00:33,470 --> 00:00:39,670
+Y Capital Z Capital هذا frame ثابت متحركش يعني ال
+
+8
+00:00:39,670 --> 00:00:45,470
+X ما بتغير و ال origin ثابت في frame x small y
+
+9
+00:00:45,470 --> 00:00:53,810
+small x small y small z small هذا محاور إحداثيات
+
+10
+00:00:53,810 --> 00:00:59,710
+متعامدة يعني x و y z متعامدة مع بعضها. it's rotating ال
+
+11
+00:00:59,710 --> 00:01:07,450
+frame is rotating حول المحور a a محور هذا بسرعة
+
+12
+00:01:07,450 --> 00:01:13,250
+زاوية omega لأن في عندي vector function نفترض أن
+
+13
+00:01:13,250 --> 00:01:17,510
+هذا position vector function a q اللي بتغير مع
+
+14
+00:01:17,510 --> 00:01:21,840
+الزمن. بتغير من حيث القيمة ومن حيث الإتجاهات because
+
+15
+00:01:21,840 --> 00:01:27,820
+the vector function Q متغير مع الزمن بتغير من حيث
+
+16
+00:01:27,820 --> 00:01:33,800
+القيمة ومن حيث الإتجاهات. الإحداثيات x small و y
+
+17
+00:01:33,800 --> 00:01:39,440
+small و z small is a rotating frame. محور بتدور
+
+18
+00:01:39,440 --> 00:01:45,860
+حولين محور ثابت OA بسرعة الزاوية Omega
+
+19
+00:01:50,060 --> 00:01:56,260
+الآن ممكن أدرس ال .. ال vector function q بالنسبة
+
+20
+00:01:56,260 --> 00:02:00,560
+للمحاور الثابتة X Capital Y Capital Z Capital أو
+
+21
+00:02:00,560 --> 00:02:05,360
+ممكن أدرس بالنسبة للمحاور المتحركة x small y small
+
+22
+00:02:05,360 --> 00:02:11,960
+z small. الآن ال q اللي مركباته لو أدرس من .. من
+
+23
+00:02:11,960 --> 00:02:17,420
+وجهة نظر المحاور المتحركة أو المحاور الدوارة. الـ Q
+
+24
+00:02:17,420 --> 00:02:22,780
+كنا نحللها لـ 3 مركبات. مركب باتجاه ال X small
+
+25
+00:02:22,780 --> 00:02:27,760
+مركب باتجاه ال Y small و مركب باتجاه ال Z small
+
+26
+00:02:27,760 --> 00:02:32,480
+يعني الـ Q هيكون لها
+
+27
+00:02:32,480 --> 00:02:41,740
+vector. لها Q X small باتجاه ال I زائد Q Y باتجاه
+
+28
+00:02:41,740 --> 00:02:46,400
+ال J زائد Q Z باتجاه ال K
+
+29
+00:02:54,570 --> 00:03:01,710
+اللي يعني ال rate of change ل q يعني q dot بالنسبة
+
+30
+00:03:01,710 --> 00:03:10,910
+ل x small و y small و z small هتكون
+
+31
+00:03:10,910 --> 00:03:20,350
+q x dot باتجاه ال I زائد q dot y باتجاه ال J زائد q
+
+32
+00:03:20,350 --> 00:03:24,250
+dot z باتجاه ال K زائد
+
+33
+00:03:26,090 --> 00:03:33,390
+أنا هأعمل ال differential الأول في الثاني زائد الأول
+
+34
+00:03:33,390 --> 00:03:44,610
+في اشتقاق الثاني زائد qx di by dt زائد qy dj
+
+35
+00:03:44,610 --> 00:03:55,880
+by dt زائد qz dk by dt لأن أنا بدرس ال rate of
+
+36
+00:03:55,880 --> 00:04:02,480
+change ال I Q بالنسبة للمحاور اللي بتدور. ما هو ال I
+
+37
+00:04:02,480 --> 00:04:10,520
+ال I و ال J و ال K قيمهم ثابتة بس
+
+38
+00:04:10,520 --> 00:04:17,140
+برضه ال I و ال J و ال K بدور مع ال X small و
+
+39
+00:04:17,140 --> 00:04:23,340
+Y small و Z small. معناته اتجاهه بالنسبة لل X small
+
+40
+00:04:23,340 --> 00:04:29,200
+Y small Z small ما بتغير. مظبوط الاتجاه نحكي
+
+41
+00:04:29,200 --> 00:04:35,980
+direction. أول شيء نحكي أول شيء magnitude magnitude
+
+42
+00:04:35,980 --> 00:04:41,800
+of
+
+43
+00:04:41,800 --> 00:04:58,740
+I J K unit vectors صح؟ معناه إيش fixed ال
+
+44
+00:04:58,740 --> 00:05:08,120
+I و ال J و ال K are attached to
+
+45
+00:05:08,120 --> 00:05:13,640
+X small و Y small معناه
+
+46
+00:05:13,640 --> 00:05:14,140
+في ال direction
+
+47
+00:05:19,770 --> 00:05:31,330
+of I و J و K does not change بالنسبة
+
+48
+00:05:31,330 --> 00:05:36,230
+ل X small و Y small و Z small لأنه بلف مع X small و
+
+49
+00:05:36,230 --> 00:05:40,090
+Y small و Z small و هذا بلف معاه، مظبوط؟ معناته ال
+
+50
+00:05:40,090 --> 00:05:45,280
+I و ال J و ال K زي أنا بدرس معدل تغير Q مع الزمن
+
+51
+00:05:45,280 --> 00:05:49,380
+بالنسبة ل X صغير و Y صغير و Z صغير فهذا إيش هيكون
+
+52
+00:05:49,380 --> 00:05:55,680
+الشتقاق هذا صفر هذا صفر هذا صفر فبصفة Q dot
+
+53
+00:05:55,680 --> 00:06:01,840
+بالنسبة ل X صغير و Y صغير و Z صغير يستوي Q dot X
+
+54
+00:06:01,840 --> 00:06:08,920
+باتجاه I زائد Q dot Y اتجاه J زائد Q dot Z اتجاه
+
+55
+00:06:08,920 --> 00:06:09,780
+K
+
+56
+00:06:16,040 --> 00:06:22,460
+إحنا حكينا a q أنا
+
+57
+00:06:22,460 --> 00:06:28,600
+حكيت لها ثلاث مركبات q بالنسبة ل x a q x باتجاه ال
+
+58
+00:06:28,600 --> 00:06:38,880
+I زائد q y باتجاه ال J زائد q z باتجاه ال K. الآن ال
+
+59
+00:06:38,880 --> 00:06:43,660
+rate of change ل q بالنسبة للمحاور الثابتة q dot
+
+60
+00:06:46,280 --> 00:06:53,180
+بالنسبة ل X Capital و Y Capital و Z Capital. هأشتق
+
+61
+00:06:53,180 --> 00:07:07,580
+الأول. هذا QX dot باتجاه ال I زائد QX I dot زائد QY
+
+62
+00:07:07,580 --> 00:07:21,080
+dot باتجاه ال J زائد QY J dot زائد qz dot باتجاه ال k
+
+63
+00:07:21,080 --> 00:07:30,680
+زائد qz k dot. اللي أنا بدرس هذا بالنسبة للمحاور
+
+64
+00:07:30,680 --> 00:07:35,800
+الثابتة هذا
+
+65
+00:07:35,800 --> 00:07:43,160
+هذا اللي هدول هو واحد اثنين ثلاثة
+
+66
+00:07:45,240 --> 00:07:50,840
+اللي هي q x dot في اتجاه ال I زائد q y dot في اتجاه
+
+67
+00:07:50,840 --> 00:07:59,260
+ال J زائد q z dot في اتجاه ال K. هتمثل التغير اللي
+
+68
+00:07:59,260 --> 00:08:05,860
+هي q dot بالنسبة ل x small y small z small مظبوط
+
+69
+00:08:07,300 --> 00:08:21,100
+هدول تاني لأن هذا ال term زائد q x i dot زائد q y j
+
+70
+00:08:21,100 --> 00:08:30,060
+dot زائد q z k dot
+
+71
+00:08:39,800 --> 00:08:43,940
+الآن بالنسبة للمحور الثابت X Capital Y Capital Z
+
+72
+00:08:43,940 --> 00:08:49,940
+Capital. ال I و ال J و ال K أنا حكيت attached ل X
+
+73
+00:08:49,940 --> 00:08:53,160
+small و Y small و Z small لأن قيم ال I و ال J و
+
+74
+00:08:53,160 --> 00:09:00,940
+ال K ثابتة لكن أنا في المحور الثابت أنا شايف اتجاه
+
+75
+00:09:00,940 --> 00:09:06,310
+ال I و ال J و ال K بيتغير. يعني فيهم rotation في
+
+76
+00:09:06,310 --> 00:09:12,370
+إيش؟ صح القيمة ثابتة بس في إيش؟ rotation يعني لو أنا
+
+77
+00:09:12,370 --> 00:09:24,310
+أخذت مروحة بتدور بسرعة ثابتة معناته هيكون عندي إذا
+
+78
+00:09:24,310 --> 00:09:29,910
+أخذت نقطة نقطة هتكون سرعة النقطة هذه اللي هي
+
+79
+00:09:29,910 --> 00:09:32,550
+عبارة عن سرعة الزاوية في المسافة. سرعة الزاوية في
+
+80
+00:09:32,550 --> 00:09:41,070
+المسافة. هذه .. هذه اللي هي كأنه حاصل ضرب .. هذه
+
+81
+00:09:41,070 --> 00:09:46,930
+كأنه حاصل ضرب two vectors فهي عندي vector بالسواء
+
+82
+00:09:46,930 --> 00:09:55,550
+QX I زائد QY J
+
+83
+00:09:55,550 --> 00:09:59,370
+زائد QZ K
+
+84
+00:10:02,890 --> 00:10:10,010
+و في عندي هتمثل I هتمثل ال components ..
+
+85
+00:10:10,010 --> 00:10:19,550
+components .. تمثل ال components ل vector. مركباته
+
+86
+00:10:19,550 --> 00:10:25,190
+قيمها واحد .. قيمها واحد. معناه تبتعد. كل عندي زي ..
+
+87
+00:10:25,190 --> 00:10:33,680
+في عندي زي R كأنه R بالسواء اللي هي I dot زائد J
+
+88
+00:10:33,680 --> 00:10:43,220
+dot زائد K dot فهذا
+
+89
+00:10:43,220 --> 00:10:47,940
+هتكون اللي هي QX. هذا ال term هيكون كأنه omega
+
+90
+00:10:47,940 --> 00:10:51,380
+cross
+
+91
+00:10:51,380 --> 00:11:01,460
+Q. omega cross Q فهتكون Q dot X Capital, Y Capital,
+
+92
+00:11:01,720 --> 00:11:07,240
+Z Capital بساوة هو Q dot بالنسبة ل X small, Y
+
+93
+00:11:07,240 --> 00:11:13,200
+small, Z small زائد Omega cross Q
+
+94
+00:11:34,570 --> 00:11:39,630
+يعني للتبسيط لو كانت q fixed within x, y زي دي
+
+95
+00:11:39,630 --> 00:11:45,610
+small. كانت fixed معناه تقول q dot x capital y
+
+96
+00:11:45,610 --> 00:11:48,990
+capital زي دي capital بتمثل velocity لنقطة على
+
+97
+00:11:48,990 --> 00:11:55,170
+rigid body مثبتة على x small و y small زي دي small
+
+98
+00:11:55,170 --> 00:11:57,770
+في الحالة هذه اللي هو ال term اللي حكيته أنا qx i
+
+99
+00:11:57,770 --> 00:12:02,990
+dot زي qy j dot زي qz k dot. بالسواء omega في q
+
+100
+00:12:07,550 --> 00:12:13,090
+معناها تلخيص: إذا عندي vector function ال vector
+
+101
+00:12:13,090 --> 00:12:17,490
+function بتتغير قيمته مع الزمن و بتتغير اتجاهه مع
+
+102
+00:12:17,490 --> 00:12:22,010
+الزمن و في عندي نظام إحداثيات X Capital Y Capital Z
+
+103
+00:12:22,010 --> 00:12:29,050
+Capital ثابت مافيش دوران و في عندي نظام إحداثيات X
+
+104
+00:12:29,050 --> 00:12:34,150
+small Y small Z small is rotating with angle of
+
+105
+00:12:34,150 --> 00:12:40,240
+velocity omega Capital. الآن ال rate of change لل
+
+106
+00:12:40,240 --> 00:12:47,080
+vector q بالنسبة للمحاور الثابتة. بالنسبة للمحاور
+
+107
+00:12:47,080 --> 00:12:51,500
+الثابتة بيستوي ال rate of change لل q بالنسبة
+
+108
+00:12:51,500 --> 00:12:58,540
+للمحاور المتحركة اللي هي x small z .. y .. x small
+
+109
+00:12:58,540 --> 00:13:06,280
+y small z omega cross q طيب
+
+110
+00:13:06,280 --> 00:13:11,320
+خلينا نشوفها في ال 2D. عند ال frame x Capital و y
+
+111
+00:13:11,320 --> 00:13:19,520
+Capital. محاور ثابتة. عند ال x small و y small محاور
+
+112
+00:13:19,520 --> 00:13:29,880
+بتدور حولين ال z axis بسرعة الزاوية إيش؟ omega لأن
+
+113
+00:13:29,880 --> 00:13:36,330
+في عند position vector عند ال particle P مُعرف
+
+114
+00:13:36,330 --> 00:13:43,790
+موقعه بالـ position vector Rb. طبعا position vector
+
+115
+00:13:43,790 --> 00:13:49,390
+بغض النظر هو في ال X Capital أو Y Capital أو ال X
+
+116
+00:13:49,390 --> 00:13:56,630
+small و Y small. it is position ل P الآن
+
+117
+00:13:56,630 --> 00:14:02,220
+ال rate of change لل vector R بعتمد على اختيارنا
+
+118
+00:14:02,220 --> 00:14:11,300
+للمحاور. بعتمد على اختيارنا للمحاور. الآن السرعة
+
+119
+00:14:11,300 --> 00:14:17,100
+لنقطة P لل particle P بيستوي هي معدل التغير
+
+120
+00:14:17,100 --> 00:14:22,540
+لموقعه بالنسبة للمحاور H الثابتة. إذا أنا ما بديش
+
+121
+00:14:22,540 --> 00:14:28,370
+absolute يعني أنا ما بطلع على سيارة. ما بِنفَعْشْ أَقِيس
+
+122
+00:14:28,370 --> 00:14:31,710
+سرعتها أو بدي أحكي سرعتها بتكون واضحة لـ 100% إذا
+
+123
+00:14:31,710 --> 00:14:34,550
+كنت أنا في مكان ثابت على الأرض. لكن لو كنت في
+
+124
+00:14:34,550 --> 00:14:39,230
+الصورة الثانية هل أنا بشوف سرعتها الحقيقية؟ لأ بشوف
+
+125
+00:14:39,230 --> 00:14:43,430
+سرعتها بالنسبة للسيارة الثانية. فأنا عشان أحكي VP
+
+126
+00:14:43,430 --> 00:14:49,350
+ال VP بيستوي R dot بالنسبة ل X Capital Y Capital
+
+127
+00:14:49,350 --> 00:14:55,830
+بتساوي Omega cross R زائد R dot بالنسبة ل X small Y
+
+128
+00:14:55,830 --> 00:14:56,230
+small
+
+129
+00:15:00,300 --> 00:15:14,880
+طيب نخش على الموضوع اللي بعده. عندي
+
+130
+00:15:14,880 --> 00:15:22,380
+rigid slab. عندي المحاور الثابتة X Capital. عندي
+
+131
+00:15:22,380 --> 00:15:27,820
+المحاور الثابتة X Capital و Y Capital و في عندي
+
+132
+00:15:27,820 --> 00:15:28,500
+rigid slab
+
+133
+00:15:31,240 --> 00:15:37,880
+بلاطة. البلاطة مثبت عليها المحاور x small و y small
+
+134
+00:15:37,880 --> 00:15:41,820
+و البلاطة مع المحاور x small و y small بتدور حول
+
+135
+00:15:41,820 --> 00:15:49,200
+نقطة O بسرعة الزاوية Omega. و في particle particle
+
+136
+00:15:49,200 --> 00:15:55,520
+B بيتحرك بالنسبة لل rigid slab على المسار هذا. ال
+
+137
+00:15:55,520 --> 00:15:59,320
+particle P بيتحرك في ال slab يعني افترض انه ما فيهوش
+
+138
+00:15:59,320 --> 00:16:07,720
+زي مسار و ال particle P بيتحرك عليه while it is
+
+139
+00:16:07,720 --> 00:16:15,320
+rotating while it is rotating. معناته سرعة ال
+
+140
+00:16:15,320 --> 00:16:20,540
+particle. لأن ال particle لأن هذا المسار موجود على
+
+141
+00:16:20,540 --> 00:16:27,170
+ال slab. مسار موجود على ال slab. الآن إذا واحد جالس
+
+142
+00:16:27,170 --> 00:16:34,170
+على ال slab هيشوف الجسم بيتحرك tangent لمسار الحركة
+
+143
+00:16:34,170 --> 00:16:41,870
+صح؟ إذا حد جالس على ال slab لكن
+
+144
+00:16:41,870 --> 00:16:49,190
+ال slab في نفس الوقت بتدور. معناته الشخص برا .. برا
+
+145
+00:16:49,190 --> 00:16:52,830
+يعني جالس على المحاور الثابتة X Capital و Y
+
+146
+00:16:52,830 --> 00:16:58,080
+Capital هيشوف two components. في component نتيجة ال
+
+147
+00:16:58,080 --> 00:17:03,320
+rotation اللي هي omega cross R و في component نتيجة
+
+148
+00:17:03,320 --> 00:17:09,660
+حركة الجسم على المسار اللي موجود على ال slab
+
+149
+00:17:09,660 --> 00:17:21,160
+معناته السرعة الكلية هتكون ال V بتاعة ال V بتاعة P
+
+150
+00:17:21,160 --> 00:17:33,260
+بالنسبة ل X Capital Y Capital هتكون omega cross R
+
+151
+00:17:33,260 --> 00:17:36,500
+زائد
+
+152
+00:17:36,500 --> 00:17:49,440
+V relative. هذا relative اللي هي سرعة الجسم بالنسبة
+
+153
+00:17:49,440 --> 00:17:54,260
+للمحاور الدوارة
+
+154
+00:18:05,360 --> 00:18:14,760
+يعني لو أنت على مسرح، مسرح اعتبره مسرح ثابت و
+
+155
+00:18:14,760 --> 00:18:22,260
+أنا في معايا مسار بهذا الاتجاه و بأمشي بهذا
+
+156
+00:18:22,260 --> 00:18:26,880
+الاتجاه. أنتم هتشوفوا، هتشوفي اللي ماشي بهذا
+
+157
+00:18:26,880 --> 00:18:32,460
+الاتجاه، صح؟ حيث أنا ال .. ال .. المسرح صار يدور
+
+158
+00:18:34,760 --> 00:18:40,020
+صار يدور و أنا بالنسبة للمسرح أنا ماشي هيك لكن بعد
+
+159
+00:18:40,020 --> 00:18:42,400
+لحظة هيكون اتجاهي بالنسبة لك هيك، معناته في جزء
+
+160
+00:18:42,400 --> 00:18:47,720
+إيش؟ جزء من الحركة، نتيجة حركتي بالنسبة للمسرح و
+
+161
+00:18:47,720 --> 00:18:53,320
+في جزء نتيجة إيش؟ الدوران، معناته بتظهر الحالة هذه
+
+162
+00:18:53,320 --> 00:19:00,470
+جزئية ال rotation بتاع المسرح و هذه جزئية الحركة
+
+163
+00:19:00,470 --> 00:19:03,970
+بالنسبة للمسرح. أنا معمول لمسار و بأمشي عليه بعد
+
+164
+00:19:03,970 --> 00:19:08,870
+شوية هأمشي هيك اتجاه المسار و أنا ماشي هأضغط. معناه
+
+165
+00:19:08,870 --> 00:19:14,410
+أن في جزء relative لل rotating في ال frame و في
+
+166
+00:19:14,410 --> 00:19:21,710
+جزء نتيجة دوران لل frame الآن
+
+167
+00:19:21,710 --> 00:19:25,890
+لو كان المسار مش هادئ يعني أنا المفروض معمول لمسار
+
+168
+00:19:25,890 --> 00:19:32,830
+فيه curvature. لما كان ثابت هكون أنا بأمشي بهذا
+
+169
+00:19:32,830 --> 00:19:36,910
+الاتجاه. معناه
+
+170
+00:19:36,910 --> 00:19:40,570
+أن أنت بتكون عندي one component صح؟ لأن هو ال X
+
+171
+00:19:40,570 --> 00:19:45,190
+Capital و Y Capital منطبق على X small و Y small
+
+172
+00:19:45,190 --> 00:19:48,630
+لأن أنا برضه المسار دار زي هو صار عندي ال frame
+
+173
+00:19:48,630 --> 00:19:54,030
+المسار صار يدور معناته المفروض تكون فيه برضه يعني
+
+174
+00:19:54,030 --> 00:19:57,230
+component due to rotation. فيعني ال total velocity
+
+175
+00:19:57,230 --> 00:20:02,670
+هتكون component due to rotation و component due
+
+176
+00:20:02,670 --> 00:20:06,770
+لحركة بالنسبة لل frame اللي بيدور
+
+177
+00:20:15,640 --> 00:20:19,260
+ال .. ال total absolute velocity لل particle P
+
+178
+00:20:19,260 --> 00:20:23,180
+بساوي اللي هي omega cross R اللي هي ال component
+
+179
+00:20:23,180 --> 00:20:28,060
+due to rotation زائد R dot X small Y small اللي هي
+
+180
+00:20:28,060 --> 00:20:33,740
+سرعة ال particle بالنسبة لل frame اللي بيدور. إذا
+
+181
+00:20:33,740 --> 00:20:41,380
+كان مركز الإحداثيات أو نحكي المسرح بيدور و بأمشي
+
+182
+00:20:44,310 --> 00:20:50,150
+معناته فيه جزئية .. معناته فيه هيكون اللي
+
+223
+00:25:52,540 --> 00:26:06,470
+حاسس كأن عندي AO زائد Alpha cross R زائد omega cross R
+
+224
+00:26:06,470 --> 00:26:12,670
+زائد omega cross R
+
+225
+00:26:12,670 --> 00:26:16,270
+زائد R
+
+226
+00:26:16,270 --> 00:26:27,430
+dot x small y small زائد اتنين omega cross R dot x
+
+227
+00:26:27,430 --> 00:26:28,210
+y small
+
+228
+00:26:31,340 --> 00:26:38,360
+لحظة أنا عندي ثلاث شغلات أو أربع شغلات تمثل
+
+229
+00:26:38,360 --> 00:26:42,480
+الـ acceleration لمركز المحاور المتحركة
+
+230
+00:26:44,810 --> 00:26:46,970
+هذه الـ acceleration component due to
+
+231
+00:26:46,970 --> 00:26:52,630
+rotation due to rotation فهنا عندي أكثر في الـ list
+
+232
+00:26:52,630 --> 00:26:56,730
+وهنا عندي، أيش يعني هذه زي الـ tangential component و
+
+233
+00:26:56,730 --> 00:27:01,950
+هذه الـ normal component و عندي الـ acceleration
+
+234
+00:27:01,950 --> 00:27:05,410
+of the particle بالنسبة للمحاور المتحركة x small و y
+
+235
+00:27:05,410 --> 00:27:11,890
+small وفي الـ term الثالث هذا يعني
+
+236
+00:27:11,890 --> 00:27:13,170
+حاجة تحكي أن الـ a
+
+237
+00:27:16,860 --> 00:27:21,960
+الـ AP هتكون
+
+238
+00:27:21,960 --> 00:27:27,080
+تساوي AO زائد
+
+239
+00:27:27,080 --> 00:27:34,220
+نسّميها AP prime اللي هو الـ term هذا زائد A relative
+
+240
+00:27:34,220 --> 00:27:42,300
+زائد AC AO
+
+241
+00:27:45,660 --> 00:27:50,800
+هي الـ acceleration لمركز الإحداثيات المتحرك AP prime
+
+242
+00:27:50,800 --> 00:27:57,360
+هي الـ acceleration due to rotation اللي هي
+
+243
+00:27:57,360 --> 00:28:03,060
+rotation للمحاور المتحركة هذه الـ acceleration of the
+
+244
+00:28:03,060 --> 00:28:06,620
+particle relative to the moving and rotating frame
+
+245
+00:28:06,620 --> 00:28:09,240
+وهذه تسمى Coriolis acceleration
+
+246
+00:28:17,700 --> 00:28:23,480
+acceleration cross acceleration هي ac أو اتنين
+
+247
+00:28:23,480 --> 00:28:33,360
+omega cross R dot XY small هي الـ combined effect
+
+248
+00:28:33,360 --> 00:28:36,380
+نتيجة
+
+249
+00:28:36,380 --> 00:28:48,150
+أن الـ moving أو الـ XY small يدور وفي نفس الوقت فيه
+
+250
+00:28:48,150 --> 00:28:52,150
+relative في سرعة relative velocity
+
+251
+00:28:52,150 --> 00:28:57,430
+بالنسبة للـ rotating frame فنوضحها يعني لو
+
+252
+00:28:57,430 --> 00:29:03,850
+أنا عندي high stage أو مسرح ثابت، رميت كرة على
+
+253
+00:29:03,850 --> 00:29:12,450
+فارس ماشي، الآن بديش يدور بسرعة منتظمة، وأنا في
+
+254
+00:29:12,450 --> 00:29:19,070
+اللحظة دي أنا بطلّ عليه ورميتها عليه وهو يدور و
+
+255
+00:29:19,070 --> 00:29:24,330
+هنا هتجي الكرة هتجي على جنب هتحدف هذه
+
+256
+00:29:24,330 --> 00:29:29,290
+الـ Coriolis effect، فالنتيجة أن في ده أنا طبعا
+
+257
+00:29:29,290 --> 00:29:37,100
+بقى أمشي ورميت عليه ففي اللي هو effect مدمج نتيجة الـ
+
+258
+00:29:37,100 --> 00:29:40,020
+rotation وفيه السرعة بالنسبة للـ rotating frame
+
+259
+00:29:40,020 --> 00:29:46,720
+فالكرة هتحدف ع جنب، لو العكس كنت لف هتحدث زي
+
+260
+00:29:46,720 --> 00:29:51,260
+هيك. خش
+
+261
+00:29:51,260 --> 00:29:55,700
+على اليوتيوب، أدخلوا Coriolis acceleration هتشوفوا
+
+262
+00:29:55,700 --> 00:29:59,340
+أمثلة كتيرة على Coriolis أو فيديوهات كتيرة على
+
+263
+00:29:59,340 --> 00:30:04,550
+Coriolis acceleration، عند الـ AP زي ما حكينا سواء
+
+264
+00:30:04,550 --> 00:30:07,770
+omega dot cross R اللي هي Alpha زي omega cross
+
+265
+00:30:07,770 --> 00:30:12,450
+omega cross R زي اتنين omega cross R dot X small Y
+
+266
+00:30:12,450 --> 00:30:23,050
+small زي R double dot X small Y small طيب
+
+267
+00:30:23,050 --> 00:30:27,570
+هذه هي المعادلة AP سواء AO زي
+
+268
+00:30:30,510 --> 00:30:34,950
+يعني أنا عادة ما أكتبهاش زي هيك، بكتبها أول شيء بحط
+
+269
+00:30:34,950 --> 00:30:41,850
+الشحطة عشان نتعامل معها كـ vectors AB أو AO زائد
+
+270
+00:30:41,850 --> 00:30:51,750
+فاللي هأحكيها omega cross R زائد
+
+271
+00:30:51,750 --> 00:30:53,610
+Alpha
+
+272
+00:30:57,990 --> 00:31:04,910
+هذه هتكون Alpha cross R زائد Omega cross Omega
+
+273
+00:31:04,910 --> 00:31:13,530
+cross R والـ A relative ماهي relative والـ A C اللي
+
+274
+00:31:13,530 --> 00:31:20,730
+هي اتنين Omega cross R dot X small Y small أو اتنين
+
+275
+00:31:20,730 --> 00:31:23,850
+Omega cross V relative
+
+276
+00:31:29,820 --> 00:31:34,040
+at the instant shown في اللحظة اللي احنا شايفينها لما
+
+277
+00:31:34,040 --> 00:31:37,260
+الذراع كانت بزاوية ثلاثين درجة تقريبا تساوي
+
+278
+00:31:37,260 --> 00:31:45,540
+ثلاثين the
+
+279
+00:31:45,540 --> 00:31:48,500
+truck is moving forward with a speed of two feet
+
+280
+00:31:48,500 --> 00:31:52,400
+per second and is slowing down at a rate of one to
+
+281
+00:31:52,400 --> 00:31:56,720
+five feet per second يعني كان ماشي بسرعة وسرعته
+
+282
+00:31:56,720 --> 00:32:04,520
+بتقل، يعني كان في اللحظة هذه سرعة الـ truck اللي هي
+
+283
+00:32:04,520 --> 00:32:07,120
+هتكون نفس سرعة النقطة A، صح؟ سرعة الـ truck هي نفس
+
+284
+00:32:07,120 --> 00:32:14,200
+سرعة A يعني هتكون VA تساوي اتنين قدم per second
+
+285
+00:32:14,200 --> 00:32:18,160
+وكان يمشي بسرعة متناقصة يعني في acceleration الـ A
+
+286
+00:32:18,160 --> 00:32:18,880
+بتاعة A
+
+287
+00:32:23,110 --> 00:32:29,930
+بتساوي نص ربع قدم لكل
+
+288
+00:32:29,930 --> 00:32:38,290
+second تربيع، الـ length of a boom، أي طول الذراع، ممكن
+
+289
+00:32:38,290 --> 00:32:43,630
+يطلع لبرا أو يصغر، الـ length of a boom is
+
+290
+00:32:43,630 --> 00:32:47,690
+decreasing at a constant rate of five feet per
+
+291
+00:32:47,690 --> 00:32:54,410
+second، five feet per second يعني الطول للذراع أي
+
+292
+00:32:54,410 --> 00:32:58,950
+بيقل بمعدل نص قدم في الثانية، the angular velocity
+
+293
+00:32:58,950 --> 00:33:04,290
+and angular acceleration of the boom، الـ boom، الـ a
+
+294
+00:33:04,290 --> 00:33:10,390
+b برضه بدور، بدور، في اللحظة اللي احنا شايفينها كانت
+
+295
+00:33:10,390 --> 00:33:10,830
+الـ omega
+
+296
+00:33:14,740 --> 00:33:22,540
+الـ omega بتاعة الـ boom تساوي point واحد radian per
+
+297
+00:33:22,540 --> 00:33:28,700
+second clockwise، والـ alpha بتاعة الـ boom تساوي point
+
+298
+00:33:28,700 --> 00:33:34,460
+oh two radian per second برضه clockwise
+
+299
+00:33:38,100 --> 00:33:40,380
+determine the velocity and acceleration of point B
+
+300
+00:33:40,380 --> 00:33:42,120
+احسب الـ velocity والـ acceleration of point B لأن
+
+301
+00:33:42,120 --> 00:33:48,120
+الـ tractor، الـ truck ماشي، وماشي برضه، ماشي بينزل
+
+302
+00:33:48,120 --> 00:33:55,780
+والذراع بيدور، الذراع ماشي بيدور، معناته فيه
+
+303
+00:33:55,780 --> 00:34:01,680
+sliding بالنسبة لشيء يدور، فيه عندك Coriolis
+
+304
+00:34:01,680 --> 00:34:04,220
+component of acceleration، اعتبروا فيه عندك
+
+305
+00:34:04,220 --> 00:34:05,260
+Coriolis component of acceleration
+
+306
+00:34:09,080 --> 00:34:14,780
+أول خطوة في الحل، لازم نبدأ نحدد اللي هو الـ frames
+
+307
+00:34:14,780 --> 00:34:18,680
+of reference الـ
+
+308
+00:34:18,680 --> 00:34:25,300
+frames of reference اللي أنا هأحط المحاور هاي
+
+309
+00:34:25,300 --> 00:34:29,080
+عندي مثلا هاي
+
+310
+00:34:29,080 --> 00:34:33,400
+X capital هاي
+
+311
+00:34:33,400 --> 00:34:37,880
+Y capital، بدي أحط محاور
+
+312
+00:34:43,420 --> 00:34:48,280
+متحركة، هاي عندي X
+
+313
+00:34:48,280 --> 00:34:53,020
+small و
+
+314
+00:34:53,020 --> 00:34:56,900
+Y small، X
+
+315
+00:34:56,900 --> 00:35:06,160
+capital و Y capital is fixed، X small و Y small is
+
+316
+00:35:06,160 --> 00:35:10,120
+moving and
+
+317
+00:35:10,120 --> 00:35:11,040
+rotating صح؟
+
+318
+00:35:13,810 --> 00:35:22,270
+لأن أنا أعتبر الـ X1S1 على الـ boom AB طيب
+
+319
+00:35:22,270 --> 00:35:29,110
+لأن
+
+320
+00:35:29,110 --> 00:35:38,290
+الـ VB إيش هتساوي؟ الـ VB في
+
+321
+00:35:38,290 --> 00:35:44,500
+جزء نتيجة سرعة، نتيجة أن هو الـ X صغير و Y صغير
+
+322
+00:35:44,500 --> 00:35:49,060
+مثبت مركزه عند A، والترك ماشي فيه، صورة على نقطة A
+
+323
+00:35:49,060 --> 00:35:57,560
+صح؟ سيكون عندي VA اللي
+
+324
+00:35:57,560 --> 00:36:04,700
+هي اتجاهها صح؟ مظبوط زائد
+
+325
+00:36:04,700 --> 00:36:07,880
+فيه
+
+326
+00:36:07,880 --> 00:36:11,400
+نتيجة الـ rotation اللي هي Omega
+
+327
+00:36:19,730 --> 00:36:25,350
+في عندي V relative نحكي
+
+328
+00:36:25,350 --> 00:36:34,530
+هنا بالقاعدة عند V P يساوي V O زائد V P prime زائد
+
+329
+00:36:34,530 --> 00:36:42,190
+V relative اللي
+
+330
+00:36:42,190 --> 00:36:43,010
+هي قاعدة المعادلة
+
+331
+00:36:49,560 --> 00:36:55,060
+VP يساوي VO زائد Omega cross R زائد V relative
+
+332
+00:36:55,060 --> 00:37:02,140
+طيب
+
+333
+00:37:02,140 --> 00:37:07,440
+زائد V relative، في اللحظة اللي احنا شايفينها عندي
+
+334
+00:37:07,440 --> 00:37:12,800
+الـ boom بيدور بهذا
+
+335
+00:37:12,800 --> 00:37:15,300
+الاتجاه صح؟ يعني هتكون
+
+336
+00:37:22,820 --> 00:37:35,100
+ثلاثين درجة زائد omega cross R، omega cross R أو
+
+337
+00:37:35,100 --> 00:37:42,220
+omega في R هتكون، هو بدور الـ clockwise لتحت هتكون
+
+338
+00:37:42,220 --> 00:37:47,520
+عمودية، يعني هذه يعني
+
+339
+00:37:47,520 --> 00:37:58,540
+هذه V relative، هذه omega في R هتكون
+
+340
+00:37:58,540 --> 00:38:13,440
+مع الأفق، لحظة، هذه ثلاثين درجة هذه
+
+341
+00:38:13,440 --> 00:38:21,620
+VB يعني الـ VA هو معطيني إياها اللي هي اتنين قدم per
+
+342
+00:38:21,620 --> 00:38:24,940
+second بهذا الاتجاه، زي الـ derivative اللي هو
+
+343
+00:38:24,940 --> 00:38:31,240
+بيحكي عليه لأنه الذراع بيقل، the
+
+344
+00:38:31,240 --> 00:38:34,340
+length of boom a b is at a constant rate of point
+
+345
+00:38:34,340 --> 00:38:42,120
+five feet per second، هتكون أنا عندي اتجاه معناته مش
+
+346
+00:38:42,120 --> 00:38:44,820
+إن أنا أ decrease وأنا أحط سالب، مازال أنا حاطط
+
+347
+00:38:44,820 --> 00:38:49,940
+الاتجاه، الشوف مش زي السماعة صح؟ أنا شايف زائد point
+
+348
+00:38:49,940 --> 00:39:00,680
+خمسة foot per second وهي اتجاهها ثلاثين درجة، زائد في
+
+349
+00:39:00,680 --> 00:39:08,520
+اللحظة هذه الـ R عشرين، والـ omega كان معطيني إياها
+
+350
+00:39:08,520 --> 00:39:14,780
+زائد point واحد في عشرين بيعمل زاوية إيش
+
+351
+00:39:17,710 --> 00:39:26,290
+ثلاثين يعني اتنين، هذه هتكون، يعني هتكون VB، هأحكي VBX
+
+352
+00:39:26,290 --> 00:39:39,350
+هتكون اتنين صح، ناقص نص cosine الثلاثين زائد اتنين
+
+353
+00:39:39,350 --> 00:39:45,050
+sine الثلاثين مظبوط
+
+354
+00:39:46,610 --> 00:39:50,750
+و VBY هتكون
+
+355
+00:39:50,750 --> 00:40:01,410
+طبعا هذه صفر، ناقص نص ساين الثلاثين minus
+
+356
+00:40:01,410 --> 00:40:11,930
+اتنين cosine الثلاثين، أنا كده أنا عرفت إيش VB
+
+357
+00:40:14,510 --> 00:40:28,350
+هتكون مركبتين VBX باتجاه الـ I زائد VBY باتجاه الـ J
+
+358
+00:40:28,350 --> 00:40:33,890
+يعني
+
+359
+00:40:33,890 --> 00:40:41,810
+الـ total velocity للـ B ناتجة من أكثر من متغير أن الـ
+
+360
+00:40:41,810 --> 00:40:50,560
+truck ماشي بسرعة، والذراع ماشي بيدور، والذراع
+
+361
+00:40:50,560 --> 00:40:55,160
+ماشي بيقل طوله، أكيد هدول لازم يأثروا على السرعة
+
+362
+00:40:55,160 --> 00:41:01,600
+النقطية للنقطة B بالنسبة
+
+363
+00:41:01,600 --> 00:41:10,320
+للـ acceleration هتكون عندي الـ AB هتكون تساوي الـ AO
+
+364
+00:41:12,560 --> 00:41:23,520
+زائد الـ ap prime زائد الـ a relative زائد الـ a Coriolis
+
+365
+00:41:23,520 --> 00:41:37,220
+اللي هو يعني هتكون عندي الـ AO، هذا اتجاهها صح، هتكون
+
+366
+00:41:37,220 --> 00:41:38,820
+عندي point اتنين خمسة
+
+367
+00:41:41,410 --> 00:41:47,230
+foot per second squared وهي اتجاهها، زائد هذا هتكون
+
+368
+00:41:47,230 --> 00:41:51,730
+omega Alpha
+
+369
+00:41:51,730 --> 00:41:57,990
+في R زائد
+
+370
+00:41:57,990 --> 00:42:03,230
+omega تربيع في R، بس لحظة شوية بحطه واحدة واحدة
+
+371
+00:42:03,230 --> 00:42:11,700
+Alpha في R، هو بيحكي ليه Alpha في R، هذه اتجاهها
+
+372
+00:42:11,700 --> 00:42:17,380
+هتكون تعمل زاوية ثلاثين
+
+373
+00:42:17,380 --> 00:42:23,280
+درجة، هذه alpha في R زائد
+
+374
+00:42:23,280 --> 00:42:35,200
+omega square في R هتكون لجوة، هذه
+
+375
+00:42:35,200 --> 00:42:36,240
+ثلاثين درجة
+
+376
+00:42:38,830 --> 00:42:44,430
+زائد relative اللي هو
+
+377
+00:42:44,430 --> 00:42:51,350
+بيحكي ليه أن الـ boom بيدور بمعدل ثابت، معناته
+
+378
+00:42:51,350 --> 00:42:55,490
+relative مش تساوي، تساوي، نتأكد بيحكي ليه بمعدل
+
+379
+00:42:55,490 --> 00:42:58,660
+ثابت ولا لأ، the length is decreasing at a constant
+
+380
+00:42:58,660 --> 00:43:01,840
+rate of point five، معناته أي relative بتساوي إيش؟ Zero
+
+381
+00:43:01,840 --> 00:43:11,460
+معناته هذه تساوي Zero، زي اتنين Omega cross
+
+382
+00:43:11,460 --> 00:43:23,240
+V relative اللي هي، لأن الـ V relative أو
+
+383
+00:43:23,240 --> 00:43:30,880
+الـ Coriolis هذا بيلف إيش؟ clockwise، بتلف الـ V
+
+384
+00:43:30,880 --> 00:43:36,160
+relative تسعين درجة باتجاه الـ Omega، هذه بتعطيني
+
+385
+00:43:36,160 --> 00:43:51,200
+إيش الـ AC يعني هتكون هذه اتنين Omega V relative و
+
+386
+00:43:51,200 --> 00:43:52,160
+بتعمل زاوية
+
+387
+00:43:57,340 --> 00:44:04,040
+ثلاثين درجة، يعني أنا هتكون تساوي point اتنين خمسة
+
+388
+00:44:04,040 --> 00:44:09,560
+هذا الاتجاه زائد الـ alpha هو معطيني إياها point اتنين
+
+389
+00:44:09,560 --> 00:44:15,160
+في عشرين، يعني يعني اتنين في عشرين على مئة، point
+
+390
+00:44:15,160 --> 00:44:19,060
+أربعة وعشرة، زائد point أربعة وعشرة بالزاوية
+
+391
+00:44:19,060 --> 00:44:23,440
+الثالثة اللي تحت زائد
+
+392
+00:44:23,440 --> 00:44:30,960
+omega اللي هي point واحد تربيع في عشرين يعني زيادة
+
+393
+00:44:30,960 --> 00:44:39,760
+point two بزاوية ثلاثين، زيادة اتنين في omega اللي
+
+394
+00:44:39,760 --> 00:44:45,560
+هي point واحد في الـ V relative، هو أن الـ V relative
+
+395
+00:44:45,560 --> 00:44:50,080
+حسبناه، نظبط اللي هي نص
+
+396
+00:44:54,210 --> 00:45:02,670
+والزاوية هذه لأعلى، بعدها هتجيب إيش إيش X وإيش Y
+
+397
+00:45:02,670 --> 00:45:06,810
+ومن هنا بتحصلوا الـ acceleration الكلية، لأن أنا
+
+398
+00:45:06,810 --> 00:45:14,950
+بتوضح الـ acceleration ناتجة عن أن الـ truck متحرك
+
+399
+00:45:14,950 --> 00:45:18,310
+يعني فيه سرعة للـ moving frame أو فيه acceleration
+
+400
+00:45:18,310 --> 00:45:22,950
+وفيه rotation، هجزئ الـ rotation
+
+401
+00:45:26,740 --> 00:45:32,420
+وفي acceleration بالنسبة للـ moving and rotating
+
+402
+00:45:32,420 --> 00:45:40,220
+frame وفي الـ integrated effect بتاع Coriolis النسبية
+
+403
+00:45:40,220 --> 00:45:44,520
+مع الـ rotation بيعمل تأثير تداخلي مع بعض اللي هو
+
+404
+00:45:44,520 --> 00:45:46,120
+Coriolis component of acceleration
diff --git a/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/wccqpG2QZQo_raw.json b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/wccqpG2QZQo_raw.json
new file mode 100644
index 0000000000000000000000000000000000000000..811a88fb652d6a721d8dbeceba50410c5e0ffea9
--- /dev/null
+++ b/PL9fwy3NUQKwbtNOJuu5ajEgBSmP13Mot0/wccqpG2QZQo_raw.json
@@ -0,0 +1 @@
+{"segments": [{"id": 1, "seek": 2852, "start": 5.42, "end": 28.52, "text": "بسم الله الرحمن الرحيم السلام عليكم ورحمة الله وبركاته هنكمل في مادة ال dynamica لحتى اللحظة قطينا relative motion عملنا velocity analysis acceleration analysis ل rigid bodies اليوم هندخل على موضوع جديد يعني هكون في عندى ال frameات المتحركة", "tokens": [3555, 38251, 21984, 34892, 5016, 27842, 34892, 5016, 32640, 21136, 37440, 25894, 24793, 4032, 2288, 35571, 3660, 21984, 4032, 26890, 4117, 9307, 3224, 8032, 1863, 24793, 1211, 8978, 3714, 18513, 3660, 2423, 5999, 2262, 5296, 33753, 7578, 13672, 5016, 19913, 3660, 12174, 9566, 1829, 8315, 4972, 5394, 6225, 42213, 8315, 9269, 5215, 17162, 5215, 5296, 22195, 7510, 45595, 20498, 8032, 41260, 9778, 1211, 15844, 3714, 2407, 11242, 45367, 10874, 16254, 3215, 37495, 22653, 8032, 30544, 8978, 43242, 7578, 2423, 3920, 9307, 9673, 2655, 5016, 31747, 3660], "avg_logprob": -0.15068246578348093, "compression_ratio": 1.6069868995633187, "no_speech_prob": 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"انا هعمل ال differential الأول في التاني زاد الأول في اشتقاق التاني زاد qx di by dt زاد qy dj by dt زاد qz dk by dt", "tokens": [7649, 995, 8032, 25957, 1211, 2423, 15756, 16247, 12610, 8978, 16712, 7649, 1829, 30767, 18513, 16247, 12610, 8978, 1975, 8592, 2655, 4587, 995, 4587, 16712, 7649, 1829, 30767, 18513, 9505, 87, 1026, 538, 36423, 30767, 18513, 9505, 88, 274, 73, 538, 36423, 30767, 18513, 9505, 89, 274, 74, 538, 36423], "avg_logprob": -0.23544730216849083, "compression_ratio": 1.6310679611650485, "no_speech_prob": 0.0, "words": [{"start": 206.09, "end": 206.45, "word": "انا", "probability": 0.6690673828125}, {"start": 206.45, "end": 207.07, "word": " هعمل", "probability": 0.9873046875}, {"start": 207.07, "end": 207.17, "word": " ال", "probability": 0.67529296875}, {"start": 207.17, "end": 207.63, "word": " differential", "probability": 0.3740234375}, {"start": 207.63, "end": 209.69, "word": " الأول", "probability": 0.77099609375}, {"start": 209.69, "end": 211.05, "word": " 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"seek": 107426, "start": 1045.62, "end": 1074.26, "text": "هتكون omega cross R زاد V relative هذا relative اللي هي سرعة الجسم بالنسبة للمحاور الدوارة", "tokens": [3224, 2655, 30544, 10498, 3278, 497, 30767, 18513, 691, 4972, 23758, 4972, 13672, 1829, 39896, 8608, 2288, 27884, 25724, 38251, 20666, 1863, 35457, 3660, 5296, 19528, 5016, 995, 13063, 32748, 2407, 9640, 3660], "avg_logprob": -0.18267463892698288, "compression_ratio": 1.2123893805309736, "no_speech_prob": 0.0, "words": [{"start": 1045.62, "end": 1046.26, "word": "هتكون", "probability": 0.8863932291666666}, {"start": 1046.26, "end": 1048.7, "word": " omega", "probability": 0.61083984375}, {"start": 1048.7, "end": 1050.4, "word": " cross", "probability": 0.92236328125}, {"start": 1050.4, "end": 1053.26, "word": " R", "probability": 0.5771484375}, {"start": 1053.26, "end": 1056.5, "word": " زاد", "probability": 0.5030517578125}, {"start": 1056.5, "end": 1057.04, "word": " V", "probability": 0.91455078125}, {"start": 1057.04, 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بهذا الاتجاه انتوش هتشوفوا، هتشوفي اللي ماشي بهذا الاتجاه، صح؟ حيث انا ال .. ال .. المسرح صار دوري", "tokens": [40228, 22653, 45164, 16472, 2655, 15844, 47524, 2288, 5016, 12399, 47524, 2288, 5016, 1975, 34268, 26890, 3224, 47524, 2288, 5016, 38637, 16758, 2655, 4032, 1975, 8315, 8978, 20449, 995, 25528, 47524, 9640, 39627, 15730, 2423, 9307, 7435, 40294, 4032, 4724, 10943, 8592, 1829, 39627, 15730, 2423, 9307, 7435, 40294, 16472, 2655, 2407, 8592, 8032, 2655, 8592, 38688, 14407, 12399, 8032, 2655, 8592, 38688, 1829, 13672, 1829, 3714, 33599, 1829, 39627, 15730, 2423, 9307, 7435, 40294, 12399, 20328, 5016, 22807, 11331, 1829, 12984, 1975, 8315, 2423, 4386, 2423, 4386, 9673, 3794, 2288, 5016, 20328, 9640, 11778, 13063, 1829], "avg_logprob": -0.14237882303340094, "compression_ratio": 2.0123456790123457, "no_speech_prob": 0.0, "words": [{"start": 1085.36, "end": 1085.66, "word": "يعني", "probability": 0.946044921875}, {"start": 1085.66, "end": 1085.82, "word": " لو", "probability": 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113706, "start": 1114.76, "end": 1137.06, "text": "صار دول و انا بالنسبة للمسرح انا ماشي هيك لكن بعد لحظة هكون اتجاهي بالنسبة ليك و هيك، معناته في جزء ايش؟ جزء من الحركة، نتيجة حركتي بالنسبة للمسرح و في جزء نتيجة ايش؟ الدوران، معناته بتظهر الحالة هذه جزءية ال rotation بتاع المسرح", "tokens": [9381, 9640, 11778, 12610, 4032, 1975, 8315, 20666, 1863, 35457, 3660, 5296, 19528, 3794, 2288, 5016, 1975, 8315, 3714, 33599, 1829, 39896, 4117, 44381, 39182, 5296, 5016, 19913, 3660, 8032, 30544, 1975, 2655, 7435, 40294, 1829, 20666, 1863, 35457, 3660, 32239, 4117, 4032, 39896, 4117, 12399, 20449, 8315, 47395, 8978, 10874, 11622, 38207, 1975, 1829, 8592, 22807, 10874, 11622, 38207, 9154, 21542, 31747, 3660, 12399, 8717, 31371, 7435, 3660, 11331, 31747, 31371, 20666, 1863, 35457, 3660, 24976, 2304, 3794, 2288, 5016, 4032, 8978, 10874, 11622, 38207, 8717, 31371, 7435, 3660, 1975, 1829, 8592, 22807, 32748, 13063, 7649, 12399, 20449, 8315, 47395, 39894, 19913, 3224, 2288, 21542, 6027, 3660, 29538, 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هذه جزئية الحركة بالنسبة للمسرح انا معمول لمصار و بمشي عليه بعد شوية هسير هيك اتجاه المصار و انا ماشي هضغط معناه ان في جزء relative لل rotating في ال frame و في جزء نتيجة دوران لل frame الان لو كان المصار مش هادل يعني انا المفروض معمول لمصار فيه curvature", "tokens": [2407, 29538, 10874, 11622, 19986, 10632, 21542, 31747, 3660, 20666, 1863, 35457, 3660, 5296, 19528, 3794, 2288, 5016, 1975, 8315, 20449, 2304, 12610, 32767, 9381, 9640, 4032, 4724, 2304, 8592, 1829, 47356, 39182, 13412, 2407, 10632, 8032, 3794, 13546, 39896, 4117, 1975, 2655, 7435, 40294, 9673, 9381, 9640, 4032, 1975, 8315, 3714, 33599, 1829, 8032, 11242, 17082, 9566, 20449, 8315, 3224, 16472, 8978, 10874, 11622, 38207, 4972, 24976, 19627, 8978, 2423, 3920, 4032, 8978, 10874, 11622, 38207, 8717, 31371, 7435, 3660, 11778, 13063, 7649, 24976, 3920, 2423, 7649, 45164, 25961, 9673, 9381, 9640, 37893, 8032, 18513, 1211, 37495, 22653, 1975, 8315, 9673, 5172, 32887, 11242, 20449, 2304, 12610, 32767, 9381, 9640, 8978, 3224, 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