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 P7.24

Let the weight of the ball be 14 lb, the radius be 4.25 in., and the radius of gyration be kG = 2.6 in. If the incline is 10 ft long, determine the time it takes the ball to reach the bottom of the incline and the speed of G when it reaches the bottom. Use θ = 40°, μs = 0.2, and μk = 0.15.