A 14 lb bowling ball is thrown onto a lane with a backspin angular speed ω0= 10 rad/s and...

A 14 lb bowling ball is thrown onto a lane with a backspin angular speed ω0= 10 rad/s and forward velocity υ0 = 17 mph. After a few seconds, the ball starts rolling without slip and moving forward with a speed υf = 17.2 ft/s. Let r = 4.25 in. be the radius of the ball, and let kG = 2.6 in. be its radius of gyration.

Figure P8.13

Determine the work done by friction on the ball from the initial time until the time that the ball starts rolling without slip.