A circular wheel is modeled as a uniform disc of mass 6 kg and radius 0.25 m. It is rotating with angular speed 2 rad per sec about a fixed smooth axis perpendicular to its plane and passing through its centre. A braking force of constant magnitude is applied tangentially to the rim of the wheel. The wheel comes to rest 5 sec after the breaking force is applied. Find the magnitude of the breaking force and the angle turned through by the wheel while the breaking force acts

Question

A circular wheel is modeled as a uniform disc of mass 6 kg and radius 0.25 m. It is rotating with angular speed 2 rad per sec about a fixed smooth axis perpendicular to its plane and passing through its centre. A braking force of constant magnitude is applied tangentially to the rim of the wheel. The wheel comes to rest 5 sec after the breaking force is applied. Find the magnitude of the breaking force and the angle turned  through by the wheel while the breaking force acts