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Консультация № 163504
28.03.2009, 23:06
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Доска массой=5 кг лежит на гладкой горизонтальной поверхности. На доску положен брусок массой=1кг. Коофициент трения между бруском и доской К=0.1. С какой максимальной силой F направленной горизонтально можно тянуть доску не нарушая неподвижности груза относительно доски? Сопротивлением воздуха принебречь . Принять g=10 v/c^2
Доска массой=5 кг лежит на гладкой горизонтальной поверхности. На доску положен брусок массой=1кг. Коофициент трения между бруском и доской К=0.1. С какой максимальной силой F направленной горизонтально можно тянуть доску не нарушая неподвижности груза относительно доски? Сопротивлением воздуха принебречь . Принять g=10 v/c^2
Обсуждение
30.03.2009, 00:00
общий
это ответ
Здравствуйте, Ирина Смирнова!
Обозначим: m1 = 5 кг - масса доски, m2 = 1 кг - масса бруска. К доске приложена горизонтальная сила трения, максимально возможное значение которой Fтр = К*Fпр (1), где Fпр = m2*g (1а) - "прижимающая" сила, равная весу бруска. Поскольку трение между доской и гладкой горизонтальной поверхностью отсутствует, сила Fтр придаёт доске ускорение a = Fтр/m1 (2). А поскольку брусок относительно доски неподвижен, их можно рассматривать как одно тело массой m = m1 + m2 (3), для придания которому ускорения, равного a требуется сила F = m*a (4). Сопоставляя выражения (1) - (4) после преобразований получаем: F = m2*g*К*(1 + m2/m1) = 1*10*0.1*(1 + 1/5) = 1.2 Н.
Обозначим: m1 = 5 кг - масса доски, m2 = 1 кг - масса бруска. К доске приложена горизонтальная сила трения, максимально возможное значение которой Fтр = К*Fпр (1), где Fпр = m2*g (1а) - "прижимающая" сила, равная весу бруска. Поскольку трение между доской и гладкой горизонтальной поверхностью отсутствует, сила Fтр придаёт доске ускорение a = Fтр/m1 (2). А поскольку брусок относительно доски неподвижен, их можно рассматривать как одно тело массой m = m1 + m2 (3), для придания которому ускорения, равного a требуется сила F = m*a (4). Сопоставляя выражения (1) - (4) после преобразований получаем: F = m2*g*К*(1 + m2/m1) = 1*10*0.1*(1 + 1/5) = 1.2 Н.
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