A bob of mass `2m` hanges by a string attached to the block of mass `m` of a spring blocks syetem. The whole arrangement is in a state of equilibrium. The bob of mass `2m` is pulled down slowely by a distance `x_(0)` and released.

In Fig. a pulley is shown which is frictionless and a ring of mass m can slide on the string without any friction. One end of the string is attached to point B and to the other end, a block 'P' of mass m is attached. The whole system lies in vertical plane. Now another block 'C' of same mass m is attached to the block '13' and system is released from rest. If a_(1) and a_(2) are the magnitudes of initial accelerations of ring and blocks, respectively, then

As shown in figure pulley is ideal and strings are massless.If mass m of hanging block is the minimum mass to set the equilibrium of system, then -

Two identical springs of spring constant k are attached to a block of mass m and to fixed supports as shown in figure. When the mass is displaced from equilibrium position by a distance x towards right, find the restoring force.

A block A of mass 2m is hanging from a vertical massless spring of spring constant k and is in equilibrium. Another block B of mass m strikes the block A with velocity u and sticks to it as shown in the figure. The magnitude of the acceleration of the combined system of the blocks just after the collision is

Two blocks (1 and 2) of equal mass m are connected by an ideal string (see figure shown) over a frictionless pulley. The blocks are attached to the ground by springs having spring constants k_(1) and k_(2) such that k_(1) gt k_(2) Initially, both springs are unstretched. The block 1 is slowly pulled down a distance x and released. Just after the release the possible values of the magnitude of the acceleration of the blocks a_(1) and a_(2) can be–

A block A of mass m is attached at one end of a light spring and the other end of the spring is connected to another block B of mass 2m through a light string as shown in the figure. A is held and B is in static equilibrium. Now A is released. The acceleration of A just after that instant is a . In the next case, B is held and A is in static equilibrium. Now when B is released, its acceleration immediately after the releas is b . The value of a//b is (pulley, string and the spring are massless).

As shown in the figure, two bobs of masses m & 2m are tied by a massless string which is wound on a fly wheel (disc) of radius r and mass m. When released from rest the bob of mass 2m starts falling vertically. When it has covered distance of h, the angular speed of the wheel will be:

A block of mass m is connected to another block of mass M by a spring (massless) of spring constant k. The block are kept on a smooth horizontal plane. Initially the blocks are at rest and the spring is unstretched. Then a constant force F starts acting on the block of mass M to pull it. Find the force of the block of mass M.

A block of mass m is connected to another block of mass M by a massless spring of spring constant k . the blocks are kept of a smooth horizontal plane and are at rest. The spring is unstretched when a constant force F starts acting on the block of mass M of pull it. Find the maximum extension of the spring