Two masses,M and m,are hung over a massless,frictionless pulley as shown below if M>m,what is the downward acceleration of mass M.用字母表示

问题描述:

Two masses,M and m,are hung over a massless,frictionless pulley as shown below if M>m,what is the downward acceleration of mass M.
用字母表示

两个物体质量分别为:M,m.(M>m)通过绳子连接跨过定滑轮,滑轮重量和摩擦力不计,求物体M的加速度.
解法1、 把两个物体看做一个整体.
a=(M-m)g/(M+m)
解法2、设绳子的拉力为:F
则有对M,F=Mg-Ma
对m由:F=mg+ma
故:Mg-Ma=mg+ma
化简:a=(M-m)g/(M+m)