Solve - 

A system consists of a cart having mass M and a block of mass m , attached to a spring of a constant k.The block is kept on the cart . Initially , the cart and the block are at rest and the spring is streched through a distance x , when the system is released . Find the time periods of the two SHM's and the amplitudes of the SHM of the block and of the cart as seen from the road .

For figure , pls consult HC verma , Ch- SHM , pg-254 , que -30 (acc. to my book )