A billiard ball is rolling without slipping with a speed υ0 = 6 ft/s as shown when it hits...

A billiard ball is rolling without slipping with a speed υ0 = 6 ft/s as shown when it hits the rail. According to regulations, the nose of the rail is at a height from the table bed of 63.5% of the ball’s diameter (i.e., ℓ/(2r) = 0.635). Model the impact with the rail as perfectly elastic, neglect friction between the ball and the rail as well as between the ball and the table, and neglect any vertical motion of the ball. Based on the stated assumptions, determine the velocity of the point of contact between the ball and the table right after impact. The diameter of the ball is 2r = 2.25 in., and the weight of the ball is W = 5.5 oz.

Figure P8.104