A block of mass 2 m hangs by an inextensible light string that passes over a smooth pulley. Another mass m hangs from the other end of the string and is connected to a vertical massless spring. The system is stationary. Just after the string is cut, the accelerations of m and 2m, respectively, are -

Two masses m and M(gt m) are joined by a light string passing over a smooth light pulley. The centre of mass of the system moves with an acceleration

Two blocks of masses m and M are connected by an inextensible light string . When a constant horizontal force acts on the block of mass M. The tension in the string is

Two blocks are connected by an inextensible light string, the string is passing over smooth, light pulley as shown. Find the acceleration of blocks and tension in the string, reaction in pulley.

A light pulley is suspended at the lower end of a spring of constant k_(1) , as shown in figure. An inextensible string passes over the pulley. At one end of string a mass m is suspended, the other end of the string is attached to another spring of constant k_(2) . The other ends of both the springs are attached to rigid supports, as shown. Neglecting masses of springs and any friction, find the time period of small oscillations of mass m about equilibrium position.

A block of mass M is placed on a rough horizontal surface. It is connected by means of a light inextensible string passing over a smooth pulley . The other end of string passing over a smooth pulley. The other end of string is connected to a block of mass m. There is no friction between vertical surface and block m If the whole system ( horizontal surface + blocks ) accelerates towards right the value of maximum on the horizontal surface is

Two masses M and m are connected at the two ends of an inextensible string. The string passes over a smooth frictionless pulley. Calculate the acceleration of the masses and the tension in the string. Given Mgtm .

A block of mass m_(1) rests on a horizontal table. A string tied to the block is passed on a frictionless pulley fixed at the end of the table and to the other end of string is hung another block of mass m_(2) . The acceleration of the system is