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Консультация № 196463
27.09.2019, 06:05
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1
Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Маховик радиусом 10 см с моментом инерции I = 0,05 кг м2 насажен на горизонтальную ось. На обод маховика намотан шнур, к которому привязан груз массой m = 1 кг. Груз из состояния покоя под действием силы тяжести начинает опускаться равноускоренно. На какое расстояние опустится груз за время t = 2 с?
Маховик радиусом 10 см с моментом инерции I = 0,05 кг м2 насажен на горизонтальную ось. На обод маховика намотан шнур, к которому привязан груз массой m = 1 кг. Груз из состояния покоя под действием силы тяжести начинает опускаться равноускоренно. На какое расстояние опустится груз за время t = 2 с?
Обсуждение
28.09.2019, 18:59
общий
это ответ
Здравствуйте, dar777!
Рисунок к задаче находится в прикреплённом файле; я заимствовал его здесь.
В проекции на вертикальную ось, согласно второму закону Ньютона [1, с. 39], для груза имеем
где
-- сила натяжения шнура. Тогда
Для маховика, в соответствии с основным законом динамики вращательного движения [1, с. 78], имеем
где
-- радиус маховика, 
-- угловое ускорение маховика. Значит, поскольку 
-- линейное ускорение точек обода маховика и груза [1, с. 27], постольку
-- путь, пройденный грузом за время
равноускоренного движения вниз [2, с. 12],
(м)
-- искомое расстояние.
Литература
1. Яворский Б. М., Детлаф А. А. Справочник по физике для инженеров и студентов вузов. -- М.: Наука, 1977. -- 944 с.
2. Аксенович Л. А., Ракина Н. Н., Фарино К. С. Физика в средней школе. -- Минск: Адукацыя i выхаванне, 2004. -- 720 с.
Рисунок к задаче находится в прикреплённом файле; я заимствовал его здесь.
В проекции на вертикальную ось, согласно второму закону Ньютона [1, с. 39], для груза имеем
где
-- сила натяжения шнура. ТогдаДля маховика, в соответствии с основным законом динамики вращательного движения [1, с. 78], имеем
где
-- радиус маховика, -- угловое ускорение маховика. Значит, поскольку -- линейное ускорение точек обода маховика и груза [1, с. 27], постольку-- путь, пройденный грузом за время
равноускоренного движения вниз [2, с. 12], (м)-- искомое расстояние.
Литература
1. Яворский Б. М., Детлаф А. А. Справочник по физике для инженеров и студентов вузов. -- М.: Наука, 1977. -- 944 с.
2. Аксенович Л. А., Ракина Н. Н., Фарино К. С. Физика в средней школе. -- Минск: Адукацыя i выхаванне, 2004. -- 720 с.
Прикрепленные файлы:
5
Это самое лучшее решение!
Об авторе:
Facta loquuntur.
Facta loquuntur.
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