A particle of mass `m` is rigidly attached at `A` to a ring of mass `3m` and radius `r`. The system is released from rest and rolls without sliding. The angular acceleration of ring just after release is

A small particle of mass m is attached at B to a hoop of mass m and radius r , whole system is placed on the rough horizontal ground. The system is released from rest when B is directly above A and rolls without slipping. Find the angular acceleration of the system at the instant when AB becomes horizontal as shown in the figure.

A disc of mass m is connected with an ideal spring of stiffness k . If it is released from rest, it rolls without sliding on an inclination plane. The maximum elongation of the spring is:

The total energy of rolling ring of mass m and radius R is

The total energy of rolling ring of mass 'm' and radius 'R' is

A small particle of mass m is fixed to the perimeter of a ring of same mass and radius r. The system comprising of particle and ring is placed on a horizontal plane. Friction is negligible on horizontal plane. Initially particle is at top most point, then the system is released from rest. Answer next two question when the particle is at the same height as the centre of ring aftr being released from top most point. Assume that the ring stays in vertical plane during its motion under consideration Mark the CORRECT option(s):-

A small particle of mass m is fixed to the perimeter of a ring of same mass and radius r. The system comprising of particle and ring is placed on a horizontal plane. Friction is negligible on horizontal plane. Initially particle is at top most point, then the system is released from rest. Answer next two question when the particle is at the same height as the centre of ring aftr being released from top most point. Assume that the ring stays in vertical plane during its motion under consideration Mark the CORRECT option(s):