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

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 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 horizontal plank having mass m lies on a smooth horizontal surface. A sphere of same mass and radius r is spined to angular frequency omega_(0) and gently placed on the plank as shown in the figure. If coefficient of friction between the plank and the sphere is mu . Find the distance moved by the plank till sphere starts pure rolling on the plank. the plank is long enough.

A horizontal plank having mass m lies on a smooth horizontal surface. A sphere of same mass and radius r is spined to angular frequency omega_(0) and gently placed on the plank as shown in the figure. If coefficient of friction between the plank and the sphere is mu . Find the distance moved by the plank till sphere starts pure rolling on the plank. the plank is long enough.