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Консультация № 187427
03.06.2013, 15:28
78.80 руб.
0
5
1
Здравствуйте!
уважаемые эксперты прошу помочь в решении:
На вращающемся столике стоит человек, держащий в руках горизонтально расположенную штангу так, что середина штанги находится над осью вращения столика. На концах штанги укреплены одинаковые тяжелые грузы. Система вращается, делая один оборот за 3 с. Определить угловую скорость вращения системы, если штанга наклонена под углом 450 к горизонту. Моментом инерции столика и человека пренебречь.
уважаемые эксперты прошу помочь в решении:
На вращающемся столике стоит человек, держащий в руках горизонтально расположенную штангу так, что середина штанги находится над осью вращения столика. На концах штанги укреплены одинаковые тяжелые грузы. Система вращается, делая один оборот за 3 с. Определить угловую скорость вращения системы, если штанга наклонена под углом 450 к горизонту. Моментом инерции столика и человека пренебречь.
Обсуждение
03.06.2013, 16:22
общий
это ответ
Здравствуйте, Саша!
Из основного закона динамики вращательного движения следует, что угловые скорости штанги [$969$]1 (в горизонтальном положении) и [$969$]2 (в наклонном положении) обратно пропорциональны моментам инерции штанги J1 и J2 соответственно. Поэтому
где m - массы грузов, r1 и r2 - расстояния от грузов до оси вращения,
С уважением.
Из основного закона динамики вращательного движения следует, что угловые скорости штанги [$969$]1 (в горизонтальном положении) и [$969$]2 (в наклонном положении) обратно пропорциональны моментам инерции штанги J1 и J2 соответственно. Поэтому
[$969$]2/(2[$960$]n1) = J1/J2 = 2mr12/(2mr22) = r12/r22 = r12/((1/2)r12) = 2,
где m - массы грузов, r1 и r2 - расстояния от грузов до оси вращения,
[$969$]2 = 2*2[$960$]n1 = 4[$960$]n1 = 4[$960$]/3 [$8776$] 4,19 (с-1).
С уважением.
5
Об авторе:
Facta loquuntur.
Facta loquuntur.
Неизвестный
03.06.2013, 16:28
общий
Адресаты:
скажите пожалуйста а уголь 45 градусов где использовался?
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