A solid cylinder is kept at rest on a rough horizontal surface. It is given a horizontal velocity `v_0` perpendicular to axis. The time taken by it to start pure rolling is

A uniform circular disc of radius r is placed on a rough horizontal surface and given a linear velocity v_(0) and angular velocity omega_(0) as shown. The disc comes to rest after moving some distance to the right. It follows that

A uniform rod of mass m , length l rests on a smooth horizontal surface. Rod is given a sharp horizontal impulse p perpendicular to the rod at a distance l//4 from the centre. The angular velocity of the rod will be

A uniform solid cylinder of mass m and radius R is placed on a rough horizontal surface. A horizontal constant force F is applied at the top point P of the cylinder so that it start pure rolling. The acceleration of the cylinder is

Uniform solid cylinder of mass m and radius R is placed on a rough horizontal surface. A horizontal constant force is applied at the top point P of the cylinder so that it start pure rolling .In the above question, the frictional force on the cylinder is

A solid sphere of mass M and radius R is placed on a rough horizontal surface. It is stuck by a horizontal cue stick at a height h above the surface. The value of h so that the sphere performs pure rolling motion immediately after it has been stuck is

A solid sphere is thrown on a horizontal rough surface with initial velocity of centre of mass V_0 without rolling. Velocity of its centre of mass when its starts pure rolling is

A heavy solid sphere is thrown on a horizontal rough surface with initial velocity u without rolling. What will be its speed, when it starts pure rolling motion ?

A ring of radius R is rotating with an angular speed omega_0 about a horizontal axis. It is placed on a rough horizontal table. The coefficient of kinetic friction is mu_k . The time after it starts rolling is.

A massless string is wrapped around a hollow cylinder having mass m and radius r . The cylinder is kept on a rough horizontal surface (coefficient of friction is mu ). A constant force F is applied as shown in the figure. In case of pure rolling, the friction force acting on the bottom most point of the cylinder is

A uniform sphere of radius R is palced on a rough horizontal surface and given a linear velocity v_(0) and an angular velocity omega _(0) as shown . If the angular velocity and the linear velocity both become zero simultaneously, then