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Консультация № 189382
16.05.2016, 16:31
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос: Сплошной цилиндр скатывается с ровной горы высотой h=10 м без проскальзывания. Найти скорость центра цилиндра в конце горы, если его скорость на вершине равнялась нулю. Спасибо
Обсуждение
16.05.2016, 21:00
общий
это ответ
Здравствуйте, wwwklepa!
Согласно закону сохранения механической энергии, имеем
где
- масса цилиндра, 
- скорость центра масс цилиндра в конце горы, 
- момент инерции цилиндра относительно его оси, 
- радиус цилиндра, 
- угловая скорость вращения цилиндра в конце горы. То есть
После подстановки численных значений величин получим
С уважением.
Согласно закону сохранения механической энергии, имеем
где
- масса цилиндра, - скорость центра масс цилиндра в конце горы, - момент инерции цилиндра относительно его оси, - радиус цилиндра, - угловая скорость вращения цилиндра в конце горы. То естьПосле подстановки численных значений величин получим
С уважением.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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