A bowling ball is thrown onto a lane with a forward spin ω0 and forward velocity υ0. The m...

A bowling ball is thrown onto a lane with a forward spin ω0 and forward velocity υ0. The mass of the ball is m, its radius is r, its radius of gyration is given by kG, and the coefficient of kinetic friction between the ball and the lane is μk. Assume the mass center G is at the geometric center.

Figure P7.28

Assuming that υ0 < rω0, determine the acceleration of the center of the ball and the angular acceleration of the ball until it starts rolling without slip.