In case of pure rolling of a body, it moves in such a way that the point of contact of the body with the surface remains at rest and it happens when the velocity of the body relative to the surface is equal to the product of the body’s radius and its angular velocity.
Because under this condition, the velocity of the point of contact of the body due to translational and rotation motion is equal and in opposite direction. If in case the two velocities of the point of contact of the body with the surface due to translational and rotational motion are not equal then the point of contact will no longer be at rest and will slip on the surface and will result sliding with rolling which is called ‘Rolling Motion with Sliding’. There can be two cases of Rolling with Sliding – Forward Sliding and Backward Sliding.
To understand the cases as well as the analysis of motion of a body under rolling with sliding, see the video below:
In case of either Forward or Backward sliding, in the absence of external forces on the body, always due to the kinetic friction on the body it will move in such a way that after some time it will start pure rolling. Many problems are based on this logic.
To understand the applications of the same logic see the example videos given below:
