A uniform plank of mass m, free to move in the horizontal direction only , is placed at the top of a solid cylinder of mass `2 m` and radius R. The plank is attached to a fixed wall by mean of a light spring constant k. There is no slipping between the cylinder and the planck , and between the cylinder and the ground. Find the time period of small oscillation of the system.

A uniform plank of mass m = 1kg , free to move in the horizontal direction only, is placed at the top of a solid cylinder of mass 2m and radius R . The plank is attched to a fixed wall by means of light spring of spring constant k = 7N//m^(2) . There is no slipping between the cylinder and the plank, and between the cylinder and the ground. the angular frequency of small oscillations of the system is

A cylinder of mass M and radius R lies on a plank of mass M as shown. The surface between plank and ground is smooth, and between cylinder and plank is rough. Assuming no slipping between cylinder and plank, the time period of oscillation (When displaced from equilibrium) of the system is

A cylinder of mass M and radius R lies on a plank of mass M as shown. The surface between plank and ground is smooth, and between cylinder and plank is rough. Assuming no slipping between cylinder and plank, the time period of oscillation (When displaced from equilibrium) of the system is

A cylinder of mass 2kg and radius 10cm is held between two planks as shown in Fig. Calculate KE of the cylinder when there is no slipping at any point.

A solid sphere of mass m and radius R is placed over a plank of same mass m . There is sufficient friction between sphere and plank to prevent slipping. Force of friction between sphere and plank is

A solid sphere of mass m and radius R is placed over a plank of same mass m . There is sufficient friction between sphere and plank to prevent slipping. Force of friction between sphere and plank is