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Консультация № 200758
29.04.2021, 14:54
0.00 руб.
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Здравствуйте! У меня возникли сложности с таким вопросом:
На барабан радиусом R = 0,5 м намотан шнур, к концу которого привязан груз массой m = 10 кг. Груз опускается с ускорением a = 2 м/с^2.
Чему равен момент инерции барабана?
На барабан радиусом R = 0,5 м намотан шнур, к концу которого привязан груз массой m = 10 кг. Груз опускается с ускорением a = 2 м/с^2.
Чему равен момент инерции барабана?
Обсуждение
30.04.2021, 09:20
общий
это ответ
Здравствуйте, Дмитрий!
Предлагаю Вам следующее решение задачи.
Дано:
м -- радиус барабана; 
кг -- масса груза, привязанного к барабану; 
м/с2.
Определить:
-- момент инерции барабана.
Выполним рисунок (прикреплённый файл). В проекциях на вертикальную ось, согласно второму закону Ньютона, получим для груза
откуда 
-- сила натяжения шнура. С такой же по величине силой, но в противоположном направлении шнур действует на барабан, ускоряя его. Из основного уравнения динамики вращательного движения получим
(кг[$183$]м2).
Ответ:
кг[$183$]м2.
Предлагаю Вам следующее решение задачи.
Дано:
м -- радиус барабана; кг -- масса груза, привязанного к барабану; м/с2.Определить:
-- момент инерции барабана.Решение
Выполним рисунок (прикреплённый файл). В проекциях на вертикальную ось, согласно второму закону Ньютона, получим для груза
откуда -- сила натяжения шнура. С такой же по величине силой, но в противоположном направлении шнур действует на барабан, ускоряя его. Из основного уравнения динамики вращательного движения получим (кг[$183$]м2).Ответ:
кг[$183$]м2.
Прикрепленные файлы:
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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