Question

A solid sphere is set into motion on a rough horizontal surface with a linear speed v in the forward direction and an angular speed v /R in the anticlockwise direction as shown in figure (10-E16). Find the linear speed of the sphere (a) when it stops rotating and (b) when slipping finally ceases and pure rolling starts.

Answer 1

a) if we take moment at A then external torque will be zero Therefore, the initial angular momentum = the angular momentum after rotation stops (i.e. only leniar velocity exits)