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

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).

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–

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