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Консультация № 200590
07.04.2021, 16:40
0.00 руб.
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Два одинаковых шара массой m и радиусом R каждый приварили друг к другу. Касательная к шару ось О проходит перпендикулярно линии, проходящей через центры шаров. Найти момент инерции получившейся детали относительно оси О.
R = 3 м, m = 4 кг.
а) 289 кг*м2; б) 389 кг*м2; в) 489 кг*м2; г) 589 кг*м2; д) 689 кг*м2.
Два одинаковых шара массой m и радиусом R каждый приварили друг к другу. Касательная к шару ось О проходит перпендикулярно линии, проходящей через центры шаров. Найти момент инерции получившейся детали относительно оси О.
R = 3 м, m = 4 кг.
а) 289 кг*м2; б) 389 кг*м2; в) 489 кг*м2; г) 589 кг*м2; д) 689 кг*м2.
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Обсуждение
08.04.2021, 08:35
общий
это ответ
Здравствуйте, Дмитрий!
Предлагаю Вам следующее решение задачи.
Дано:
кг -- масса каждого из двух шаров; 
м -- радиус каждого из двух шаров.
Определить:
-- момент инерции системы из двух шаров относительно оси 
(см. рисунок).
Момент инерции
шара относительно оси 
проходящей через центр его масс параллельно оси 
можно вычислить по формуле
Для каждого из шаров его момент инерции
относительно оси равен сумме момента инерции и произведения массы шара на квадрат расстояния между осями 
и (теорема Гюйгенса -- Штейнера). Момент инерции системы из двух шаров относительно оси равен сумме моментов инерции 
и 
первого (ближайшего к оси) и второго шаров относительно оси 
Значит,
(кг[$183$]м2).
Ответ:
кг[$183$]м2.
Из предложенных Вами ответов наиболее подходящим является вариант б.
Предлагаю Вам следующее решение задачи.
Дано:
кг -- масса каждого из двух шаров; м -- радиус каждого из двух шаров.Определить:
-- момент инерции системы из двух шаров относительно оси (см. рисунок).Решение
Момент инерции
шара относительно оси проходящей через центр его масс параллельно оси можно вычислить по формулеДля каждого из шаров его момент инерции
относительно оси равен сумме момента инерции и произведения массы шара на квадрат расстояния между осями и (теорема Гюйгенса -- Штейнера). Момент инерции системы из двух шаров относительно оси равен сумме моментов инерции и первого (ближайшего к оси) и второго шаров относительно оси Значит, (кг[$183$]м2).Ответ:
кг[$183$]м2.Из предложенных Вами ответов наиболее подходящим является вариант б.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
Форма ответа
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