A bowling ball of radius r, mass m, and radius of gyration kG is released from rest on a r...

A bowling ball of radius r, mass m, and radius of gyration kG is released from rest on a rough surface that is inclined at the angle θ with respect to the horizontal. The coefficients of static and kinetic friction between the ball and the incline are μs and μk, respectively. Assume that the mass center G is at the geometric center.

Figure P7.23

Assuming the ball rolls without slip, determine the angular acceleration of the ball and the friction and normal force between the ball and the incline. In addition, find the minimum value of μs that is compatible with this motion.