A 14 lb bowling ball is thrown onto a lane with a backspin ω0 = 9 rad/s and forward veloci...

A 14 lb bowling ball is thrown onto a lane with a backspin ω0 = 9 rad/s and forward velocity υ0 = 18 mph. Point G is both the geometric center and the mass center of the ball. After a few seconds, the ball starts rolling without slip. Let r = 4.25 in. and let the radius of gyration of the ball be kG = 2.6 in. If the coefficient of kinetic friction between the ball and the floor is μk = 0.1, determine the speed υf that the ball will achieve when it starts rolling without slip. In addition, determine the time tr the ball takes to achieve υf. Hint: Using the methods of Chapter 7, we can show that the force between the ball and the floor is constant.

Figure P8.63