A sphere of mass m is given some angular velocity about a horizontal axis through its centre and gently placed on a plank of mass 'm'. The co-efficent of friction between the two is `mu`. The plank rests on a smooth horizontal surface. The initial acceleration of the centre of sphere relative to the plank will be

A sphere of mass m is given some angular velocity about a horizontal axis through the center, and gently placed on a plank of mass m . The coefficient of friction between the two is mu . The plank rests on a smooth horizontal surface. The intial acceleration of the sphere relative to the plank will be:

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. When a horizontal force F is applied at centre of sphere, acceleration of the 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. Angular acceleration of sphere is

A disc of mass m and radius R is placed over a plank of same mass m. There is sufficient friction between disc and plank to prevent slipping. A force F is applied at the centre of the disc. Acceleration of the 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. Acceleration of centre of mass of sphere is

A plank of mass 3m is placed on a rough inclined plane and a man of mass m, the coefficient of friction between the board and inclined plane is mu = 0.5 , the minimum acceleration of man so that plank does not slide is :

A long horizontal plank of mass m is lying on a smooth horizontal surface. A sphere of same mass m and radius r is spinned about its own axis with angular velocity we and gently placed on the plank. The coefficient of friction between the plank and the sphere is mu . After some time the pure rolling of the sphere on the plank will start. Answer the following questions. Find the displacement of the plank till the sphere starts pure rolling.

A long horizontal plank of mass m is lying on a smooth horizontal surface. A sphere of same mass m and radius r is spinned about its own axis with angular velocity we and gently placed on the plank. The coefficient of friction between the plank and the sphere is mu . After some time the pure rolling of the sphere on the plank will start. Answer the following questions. Find the velocity of the sphere after the pure rolling starts

A long horizontal plank of mass m is lying on a smooth horizontal surface. A sphere of same mass m and radius r is spinned about its own axis with angular velocity we and gently placed on the plank. The coefficient of friction between the plank and the sphere is mu . After some time the pure rolling of the sphere on the plank will start. Answer the following questions. Find the time t at which the pure roiling starts