Rolling Motion
The rolling motion can be regarded as the combination of pure rotation and pure translation. It is also one of the most common motions observed in daily life.
Suppose the rolling motion (without slipping) of a circular disc on a level surface. At any instant, the point of contact `P_0` of the disc with the surface is at rest (as there is no slipping). If `v_(CM)` is the velocity of centre of mass which is the geometric centre C of the disc, then the translational velocity of disc is `v_(CM)`, which is parallel to the level surface.
Velocity of centre of mass, `v_(CM) =Romega`
A solid cylinder is sliding on a smooth horizontal surface with velocity v0 without rotation. It enters on the rough surface. After that it has travelled some distance, the friction force increases its
Options:
(a) translational kinetic energy
(b) rotational kinetic energy
(c) total mechanical energy
(d) angular momentum about an axis passing through point of contact of the cylinder and the surface