An impulse `J` is applied on a ring of mass `m` along a line passing through its centre `O`. The ring is placed on a rough horizontal surface. The linear velocity of centre of ring once it starts rolling without slipping is

A uniform ring of mass m and radius R is in uniform pure rolling motion on a horizontal surface. The velocity of the centre of ring is V_(0) . The kinetic energy of the segment ABC is:

A uniform thin ring of mass 0.4kg rolls without slipping on a horizontal surface with a linear velocity of 10 cm/s. The kinetic energy of the ring is

A uniform thin ring of mass 0.4kg rolls without slipping on a horizontal surface with a linear velocity of 10 cm/s. The kinetic energy of the ring is

A thin ring of mass m and radius R is in pure rolling over a horizontal surface. If v_0 is the velocity of the centre of mass of the ring, then the angular momentum of the ring about the point of contact is

A thin ring of mass m and radius R is in pure rolling over a horizontal surface. If v_0 is the velocity of the centre of mass of the ring, then the angular momentum of the ring about the point of contact is

A force F is applied at the top of a ring of mass M and radius R placed on a rough horizontal surface as shown in figure. Friction is sufficient to prevent slipping. The friction force acting on the ring is:

A force F is applied at the top of a ring of mass M and radius R placed on a rough horizontal surface as shown in figure. Friction is sufficient to prevent slipping. The friction force acting on the ring is:

Four identical spheres having mass M and radius R are fixed tightly within a massless ring such that the centres of all spheres lie in the plane of ring. The ring is kept on a rough horizontal table as shown. The string is wrapped around the ring can roll without slipping. The other end of the string is passed over a massless frictionless pulley to a block of mass M. A force F is applied horizontally on the ring, at the same level as the centre, so that the system is in equilibrium. The magnitude of F is