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 P8.15

A bowling ball is thrown onto a lane with a forward velocity υ0 and no angular velocity (ω0 = 0). Because of friction between the lane and the ball, after a short time, the ball starts rolling without slip and moving forward with speed υf .Let LG be the distance traveled by the center of the ball while slowing down from υ0 to υf. In addition, let Lf be the length over which the friction force had to act in order to slow down the ball from υ0 to υf. State which of the following relations is true and why: (a) LG< Lf; (b) LG = Lf; (c) LG > Lf.

Note:Concept problems are about explanations, not computations.