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. Find the linear speed of the sphere when it stops rotating and = V R .

Step-by-step solution

If we take moment at A , then extemal torque will be zero. Therefore, the initial angular momentum = the angular momentum after rotation stop (i.e. only linear velocity exist) aligned & M v R- ( 2 5 ) I & =M v₀ R & M v R- 2 5 M R^2 V R & =M v₀ R & v₀ & = 3 v 5 aligned