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Консультация № 200606
09.04.2021, 20:16
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Уважаемые эксперты! Пожалуйста, ответьте на вопрос:
Тонкая однородная пластина в виде квадрата со стороной b может вращаться без трения в вертикальной плоскости вокруг горизонтальной оси, проходящей через центр масс С. Момент инерции пластины относительно оси С равен I. К середине стороны квадрата приклеили маленький грузик массы m и отпустили без толчка. В начальный момент сторона квадрата была вертикальна. Найдите угловое ускорение получившейся фигуры в начальный момент времени. m = 2 кг, I = 3 кг*м^2 , b = 4 м, g = 10 м/с^2.
а) 1,64 рад/с2; б) 2,64 рад/с2; в) 3,64 рад/с2; г) 4,64 рад/с2; д) 5,64 рад/с2;
Тонкая однородная пластина в виде квадрата со стороной b может вращаться без трения в вертикальной плоскости вокруг горизонтальной оси, проходящей через центр масс С. Момент инерции пластины относительно оси С равен I. К середине стороны квадрата приклеили маленький грузик массы m и отпустили без толчка. В начальный момент сторона квадрата была вертикальна. Найдите угловое ускорение получившейся фигуры в начальный момент времени. m = 2 кг, I = 3 кг*м^2 , b = 4 м, g = 10 м/с^2.
а) 1,64 рад/с2; б) 2,64 рад/с2; в) 3,64 рад/с2; г) 4,64 рад/с2; д) 5,64 рад/с2;
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Обсуждение
10.04.2021, 15:06
общий
это ответ
Здравствуйте, Дмитрий!
Предлагаю Вам следующее решение задачи.
Дано:
м -- длина стороны квадратной пластины; 
кг[$183$]м2 -- момент инерции квадратной пластины относительно оси, проходящей через её центр масс перпендикулярно плоскости пластины; 
кг -- масса точечного груза, прикреплённого к середине вертикальной стороны пластины; 
м/с2 -- принятое значение ускорения свободного падения.
Определить:
-- угловое ускорение системы "квадратная пластина -- точечный груз" в момент времени 
с.
В (начальный) момент времени с на систему "квадратная пластина -- точечный груз" действует момент силы, равный 
Момент инерции этой системы равен 
Согласно основному закону динамики вращательного движения, в начальный момент времени имеем
откуда
(рад/с2).
Ответ:
рад/с2.
Предлагаю Вам следующее решение задачи.
Дано:
м -- длина стороны квадратной пластины; кг[$183$]м2 -- момент инерции квадратной пластины относительно оси, проходящей через её центр масс перпендикулярно плоскости пластины; кг -- масса точечного груза, прикреплённого к середине вертикальной стороны пластины; м/с2 -- принятое значение ускорения свободного падения.Определить:
-- угловое ускорение системы "квадратная пластина -- точечный груз" в момент времени с.Решение
В (начальный) момент времени
с на систему "квадратная пластина -- точечный груз" действует момент силы, равный Момент инерции этой системы равен Согласно основному закону динамики вращательного движения, в начальный момент времени имеемоткуда
(рад/с2).Ответ:
рад/с2.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
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