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Консультация № 201072
03.06.2021, 16:54
0.00 руб.
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Здравствуйте, уважаемые эксперты! Прошу вас ответить на следующий вопрос:
Задача больше по механике
15 Колесо радиусом R, масса M которого со-
средоточена на ободе, скатывается из состояния покоя
с горки высотой h без проскальзывания (рис. )
Найти скорость центра масс О колеса в момент ската.
Задача больше по механике
15 Колесо радиусом R, масса M которого со-
средоточена на ободе, скатывается из состояния покоя
с горки высотой h без проскальзывания (рис. )
Найти скорость центра масс О колеса в момент ската.
Прикрепленные файлы:
Обсуждение
04.06.2021, 06:10
общий
это ответ
Здравствуйте, olya01.ya!
Предлагаю Вам следующее решение задачи.
Дано:
-- радиус колеса, масса 
которого сосредоточена на ободе; 
-- высота горки, с которой колесо скатывается из состояния покоя без проскальзывания.
Определить:
-- скорость центра масс колеса в момент ската.
В начальный момент времени колесо обладает нулевой начальной скоростью
центра масс, нулевой угловой скоростью 
вращения относительно центра масс, его кинетическая энергия 
равна нулю, а потенциальная энергия колеса относительно уровня основания горки равна 
В момент ската потенциальная энергия колеса равна нулю 
, а кинетическая энергия составляет 
При этом момент инерции колеса относительно его оси вращения, проходящей через центр масс, равен 
а угловая скорость вращения колеса равна 
Значит, 
Из закона сохранения механической энергии получим
(ед. скорости).
Ответ: ед. скорости.
Предлагаю Вам следующее решение задачи.
Дано:
-- радиус колеса, масса которого сосредоточена на ободе; -- высота горки, с которой колесо скатывается из состояния покоя без проскальзывания.Определить:
-- скорость центра масс колеса в момент ската.Решение
В начальный момент времени колесо обладает нулевой начальной скоростью
центра масс, нулевой угловой скоростью вращения относительно центра масс, его кинетическая энергия равна нулю, а потенциальная энергия колеса относительно уровня основания горки равна В момент ската потенциальная энергия колеса равна нулю , а кинетическая энергия составляет При этом момент инерции колеса относительно его оси вращения, проходящей через центр масс, равен а угловая скорость вращения колеса равна Значит, Из закона сохранения механической энергии получим (ед. скорости).Ответ:
ед. скорости.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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