حل التدريبات العملية: الحركة التوافقية البسيطة في نابض أفقي وبندول بسيط

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أ- من الرسم البياني يمكن ملاحظة أنه عندما يكون الجسم في نقاط الطرف، يكون تسارعه في حده الأقصى ومقداره 3 أمتار لكل ثانية مربعة.

ب- من الرسم البياني يمكن ملاحظة أن الجسم يتحرك بين الموقع X=5m و X=-5m، لذا فإن سعة الاهتزاز هي 5 أمتار.

ج- نحسب زمن الدورة من تعبير التسارع الأقصى

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د- نحسب قيمة ثابت النابض باستخدام تعبير التردد الزاوي:

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هـ- من دالة السرعة بدلالة الزمن«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mstyle mathsize=¨20px¨»«mi mathvariant=¨bold-italic¨ mathcolor=¨#0000FF¨»V«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»(«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»t«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»)«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»=«/mo»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»-«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#969;A«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#183;«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»sin«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»(«/mo»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#969;t«/mi»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»+«/mo»«msub»«mi mathvariant=¨bold¨ mathcolor=¨#0000FF¨»§#1012;«/mi»«mn mathvariant=¨bold¨ mathcolor=¨#0000FF¨»0«/mn»«/msub»«mo mathvariant=¨bold¨ mathcolor=¨#0000FF¨»)«/mo»«/mstyle»«/math» يمكن تحديد أن مقدار السرعة العظمى هو:

نحسب مقدار السرعة العظمى:

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