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Консультация № 202470
27.03.2022, 11:16
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Однородный цилиндр лежит на горизонтальной поверхности. Второй такой же цилиндр катится на первый со скоростью v. Оси цилиндров параллельны. Между цилиндрами происходит абсолютно упругий удар. Определить конечные установившиеся скорости движения цилиндров. Трением можно пренебречь.
Задача есть в Интернете, но решения нет и мой ответ не сходится с правильным (v/3, 2v/3) - у меня получается (v/2, v/2). Помогите пожалуйста!
Однородный цилиндр лежит на горизонтальной поверхности. Второй такой же цилиндр катится на первый со скоростью v. Оси цилиндров параллельны. Между цилиндрами происходит абсолютно упругий удар. Определить конечные установившиеся скорости движения цилиндров. Трением можно пренебречь.
Задача есть в Интернете, но решения нет и мой ответ не сходится с правильным (v/3, 2v/3) - у меня получается (v/2, v/2). Помогите пожалуйста!
Обсуждение
27.03.2022, 12:00
общий
Адресаты:
По Одинаковым скоростям в Вашем неправильном Ответе я догадываюсь, будто Вы приняли цилиндры за некие шары, скользящие без трения.
А поскольку в Условии присутствуют слова "Однородный цилиндр … катится", значит, надо учитывать Момент инерции Ссылка1 раскрутки цилиндра.
см также "Момент инерции тела" Ссылка2 , Ссылка3
А поскольку в Условии присутствуют слова "Однородный цилиндр … катится", значит, надо учитывать Момент инерции Ссылка1 раскрутки цилиндра.
см также "Момент инерции тела" Ссылка2 , Ссылка3
27.03.2022, 14:56
общий
Адресаты:
Спасибо, мне казалось что это тонкостенные цилиндры с моментом инерции mr2, а не mr2/2.
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