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Консультация № 200608
09.04.2021, 20:23
0.00 руб.
1
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1
Здравствуйте! Прошу помощи в следующем вопросе:
Тонкий однородный диск массы m и радиуса R может вращаться в вертикальной плоскости вокруг горизонтальной оси, проходящей через его центр С. Под углом α (альфа) к вертикали в плоскости вращения диска движется маленький пластилиновый шарик такой же массы m со скоростью V . Шарик прилипает к нижней точке висящего неподвижно диска, и система приобретает угловую скорость вращения ω. Найти радиус диска. m = 6 кг, ω = 7 рад/с, V = 8 м/с, α (альфа) = 30°.
а) 0,98 м; б) 0,88 м; в) 0,78 м; г) 0,58 м; д) 0,38 м;
Тонкий однородный диск массы m и радиуса R может вращаться в вертикальной плоскости вокруг горизонтальной оси, проходящей через его центр С. Под углом α (альфа) к вертикали в плоскости вращения диска движется маленький пластилиновый шарик такой же массы m со скоростью V . Шарик прилипает к нижней точке висящего неподвижно диска, и система приобретает угловую скорость вращения ω. Найти радиус диска. m = 6 кг, ω = 7 рад/с, V = 8 м/с, α (альфа) = 30°.
а) 0,98 м; б) 0,88 м; в) 0,78 м; г) 0,58 м; д) 0,38 м;
Прикрепленные файлы:
Обсуждение
11.04.2021, 07:10
общий
это ответ
Здравствуйте, Дмитрий!
Предлагаю Вам следующее решение задачи.
Дано:
кг -- масса диска, масса шарика; 
-- угол между вертикалью и направлением скорости шарика; 
м/с -- скорость шарика до прилипания к диску; шарик прилипает к нижней точке диска; 
рад/с -- угловая скорость вращения диска с прилипшим шариком.
Определить:
-- радиус диска.
До прилипания шарика к диску последний был неподвижным; его момент импульса относительно оси вращения равнялся нулю. Шарик в момент прилипания к диску сообщил диску импульс, момент которого равен
После этого система "диск -- шарик" стала обладать моментом импульса, равным 
В силу закона сохранения момента импульса имеем
(м).
Ответ:
м.
Предлагаю Вам следующее решение задачи.
Дано:
кг -- масса диска, масса шарика; -- угол между вертикалью и направлением скорости шарика; м/с -- скорость шарика до прилипания к диску; шарик прилипает к нижней точке диска; рад/с -- угловая скорость вращения диска с прилипшим шариком.Определить:
-- радиус диска.Решение
До прилипания шарика к диску последний был неподвижным; его момент импульса относительно оси вращения равнялся нулю. Шарик в момент прилипания к диску сообщил диску импульс, момент которого равен
После этого система "диск -- шарик" стала обладать моментом импульса, равным В силу закона сохранения момента импульса имеем (м).Ответ:
м.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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