Two blocks of masses m and M connected by a light spring of stiffness k, are kept on a smooth horizontal surface as shown in figure. What should be the initial compression of the spring so that the system will be about to break off the surface, after releasing the block `m_1`?

Two blocks of masses m_(1) and m_(2) being connected with a light spring of stiffness k are driven with forces F_(1) and F_(2) on a smooth horizontal plane.

A block of mass m is placed at rest on a smooth wedge of mass M placed at rest on a smooth horizontal surface. As the system is released

Two bars of masses m_1 and m_2 connected by a weightless spring of stiffness ϰ (figure) rest on a smooth horizontal plane. Bar 2 is shifted a small distance x to the left and then released. Find the velocity of the centre of inertia of the system after bar 1 breaks off the wall.

Two blocks of masses m_(1) and m_(2) are connected by a massless spring and placed on smooth surface. The spring initially stretched and released. Then :

Two blocks of masses m and m' are connected by a light spring on a horizontal frictionless table . The spring is compressed and then released . Find the ratio of acceleration of masses .

Two smooth blocks of mases m_(1) and m_(2) attached with an ideal spring of stiffness k and kept on hrozontal surface. If m_(1) is projected with a horizontal velocity v_(0) . Find the maximum compression of the spring.

Two blocks of masses m_(1) and m_(2) interconnect with a spring of stiffness K , are kept on as smooth horizontal surface. Find out the ratio of velocity, displacement, kinetic energy and acceleration block with mass m_(1) of block with mass m_(2) .

Two blocks A and B of masses m and 2m respectively are connected together by a light spring of stiffness k and then placed on a smooth horizontal surface. The blocks are pushed towards each other such that spring gets compressed by a length x_(0) and then released from rest. Find the work done on the block A by the spring, by the time the spring acquires its natural length.

A block of mass m compresses a spring iof stifffness k through a distacne l//2 as shown in the figure .If the block is not fixed to the spring the period of motion of the block is