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Connected bodies

Question

In the figure ball A is released from rest when the spring is at its natural length. For the block B of mass M to leave contact with ground at some stage, the minimum mass of A must be 

Moderate
Solution

Suppose when maximum displacement of the ball is x, when the mass M loses contact with the  ground.
   kx=Mg  ........(1)Again,  12kx2mgx  =0    x=2mgk  .......(2)   k 2mgk=Mg     m=M/2



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