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Консультация № 195510
05.05.2019, 20:34
0.00 руб.
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Здравствуйте! У меня возникли сложности с таким вопросом:
Через блок, укреплённый на краю гладкого горизонтального стола, перекинута веревка, соединяющая грузы 1 и 2 массами 2 кг и 1 кг соответственно. Стол движется вверх с ускорением 1 м/с2 . Найти ускорения грузов. Трением и массой блока пренебречь
Через блок, укреплённый на краю гладкого горизонтального стола, перекинута веревка, соединяющая грузы 1 и 2 массами 2 кг и 1 кг соответственно. Стол движется вверх с ускорением 1 м/с2 . Найти ускорения грузов. Трением и массой блока пренебречь
Обсуждение
08.05.2019, 18:14
общий
Адресаты:
К этой задаче нужен рисунок, чтобы понять, как расположены грузы. Прикрепите, пожалуйста, его к своему сообщению.
Об авторе:
Facta loquuntur.
Facta loquuntur.
09.05.2019, 07:18
общий
это ответ
Здравствуйте, mustang289!
Воспользуемся рисунком, который Вы можете увидеть здесь или в прикреплённом файле. Примем, что m=1 кг, M=2 кг, b=1 м/с2.
Перейдём к системе отсчёта, связанной со столом. В этой системе на грузы действует сила тяжести, абсолютная величина ускорения которой составляет g+b вместо g. Для груза массой m в проекциях на вертикальную ось, направленную вниз, имеем mw=m(g+b)-T. Для груза массой M в проекциях на горизонтальную ось, направленную вправо, имеем Mw=T (здесь w -- абсолютная величина ускорения грузов, T -- сила натяжения веревки). Тогда T=Mw, mw=m(g+b)-Mw, w=m(g+b)/(m+M) -- абсолютная величина ускорения грузов в системе отсчёта, связанной со столом; a=w-b -- абсолютная величина ускорения грузов в системе отсчёта, связанной с Землёй.
После подстановки числовых значений получим
Воспользуемся рисунком, который Вы можете увидеть здесь или в прикреплённом файле. Примем, что m=1 кг, M=2 кг, b=1 м/с2.
Перейдём к системе отсчёта, связанной со столом. В этой системе на грузы действует сила тяжести, абсолютная величина ускорения которой составляет g+b вместо g. Для груза массой m в проекциях на вертикальную ось, направленную вниз, имеем mw=m(g+b)-T. Для груза массой M в проекциях на горизонтальную ось, направленную вправо, имеем Mw=T (здесь w -- абсолютная величина ускорения грузов, T -- сила натяжения веревки). Тогда T=Mw, mw=m(g+b)-Mw, w=m(g+b)/(m+M) -- абсолютная величина ускорения грузов в системе отсчёта, связанной со столом; a=w-b -- абсолютная величина ускорения грузов в системе отсчёта, связанной с Землёй.
После подстановки числовых значений получим
w[$8776$]1*(9,81+1)/(1+2)[$8776$]3,60 (м/с2),
a=3,60-1=2,60 (м/с2).
Прикрепленные файлы:
Об авторе:
Facta loquuntur.
Facta loquuntur.
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