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`
Kinetic energy of a rolling body will be
Options:
(a) `1/2mv_(CM)^2(1+k^2'/'R^2)`
(b) `1/2 l omega^2`
(c) `1/2mv_(CM)^2`
(d) None of the above