Chapter 17.3, Problem 17.131P

A small rubber ball of radius r is thrown against a rough floor with a velocity ${\bar{v}}_A$ of magnitude ${\bar{\text{v}}}_0$ and a backspin ω_A of magnitude ω₀. It is observed that the ball bounces from A to B, then from B to A, then from A to B, etc. Assuming perfectly elastic impact, determine the required magnitude ω₀ of the backspin in terms of ${\bar{v}}_0$ and r.

Fig. P17.131