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Консультация № 169756
22.06.2009, 21:57
0.00 руб.
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1
1
здравствуйте,уважаемые эксперты.помогите пожалуйста решить задачу:
к концам невесомой и нерастяжимой нити,перекинутой через невесомый блок,подвешены 2 груза массой 100 г каждый.на один из них положен перегрузок массой 10 г. найти силу ,с которой перегрузок давит на груз,а также силу давления на ось блока.
заранее благодарен.
к концам невесомой и нерастяжимой нити,перекинутой через невесомый блок,подвешены 2 груза массой 100 г каждый.на один из них положен перегрузок массой 10 г. найти силу ,с которой перегрузок давит на груз,а также силу давления на ось блока.
заранее благодарен.
Обсуждение
Неизвестный
23.06.2009, 08:38
общий
это ответ
Здравствуйте, G-buck.
Пишем уравнение движения для каждого груза. M - массы грузов.
Для груза с перегрузком m
M*a=M*g+N-T, где N - сила,с которой на него давит перегрузок, T- сила натяжения нити.
Для груза без перегрузка
M*a=T-M*g
Для перегрузка
m*g- N=m*a.
Из первых двух уравнений 2*M*a=N или a=N/2M
Подставляем в третье уравнение
m*N/2M=m*g-N
N*(m/2M+1)=m*g
N=mg/(m/2M+1)
a=N/2M=mg/{2M*(m/2M+1)}=mg/(m+2M)
T=M*(a+g)= 2Mg*(m+M)/(m+2M)
Сила давления на ось блока F=2*T=4Mg*(m+M)/(m+2M)
Пишем уравнение движения для каждого груза. M - массы грузов.
Для груза с перегрузком m
M*a=M*g+N-T, где N - сила,с которой на него давит перегрузок, T- сила натяжения нити.
Для груза без перегрузка
M*a=T-M*g
Для перегрузка
m*g- N=m*a.
Из первых двух уравнений 2*M*a=N или a=N/2M
Подставляем в третье уравнение
m*N/2M=m*g-N
N*(m/2M+1)=m*g
N=mg/(m/2M+1)
a=N/2M=mg/{2M*(m/2M+1)}=mg/(m+2M)
T=M*(a+g)= 2Mg*(m+M)/(m+2M)
Сила давления на ось блока F=2*T=4Mg*(m+M)/(m+2M)
5
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