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Консультация № 148735
28.10.2008, 06:47
0.00 руб.
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1
1
Здравствуйте уважаемые эксперты, прошу помощи в решении задачи
Стержень вращается вокруг оси. проходящей через его середину, согласно уравнению фи=Аt+Bt^3 где А=2 рад/с. В=0.2 . Определить вращающий момент М, действующий на стержень через время t - 2 с после начала вращения, если момент инерции стержня J=0.048 .кг * м^2
заранее спасибо
Стержень вращается вокруг оси. проходящей через его середину, согласно уравнению фи=Аt+Bt^3 где А=2 рад/с. В=0.2 . Определить вращающий момент М, действующий на стержень через время t - 2 с после начала вращения, если момент инерции стержня J=0.048 .кг * м^2
заранее спасибо
Обсуждение
Неизвестный
28.10.2008, 17:56
общий
это ответ
Здравствуйте, Тарасов Игорь Анатольевич!
Второй закон Ньютона для случая вращательного движения выглядит как:
J*E=M (1)
где J=0.048 кг*м 2 - момент инерции стержня, М - искомый вращательный момент, E - угловое перемещение, равное второй производной от угловой координаты, заданной уравнением фи=Аt+Bt^3 :
E=d2фи/dt2=6*B*t (2)
где t=2 c, В=0.2; подставляя (2) в (1) выражаем М:
М=6*B*t*J=6*0,2*2*0,048=0,12 Н*м
Второй закон Ньютона для случая вращательного движения выглядит как:
J*E=M (1)
где J=0.048 кг*м 2 - момент инерции стержня, М - искомый вращательный момент, E - угловое перемещение, равное второй производной от угловой координаты, заданной уравнением фи=Аt+Bt^3 :
E=d2фи/dt2=6*B*t (2)
где t=2 c, В=0.2; подставляя (2) в (1) выражаем М:
М=6*B*t*J=6*0,2*2*0,048=0,12 Н*м
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