A billiard ball of mass m and radius 7, when hit in a horizontal direction by a cue at a height h above its centre, acquired a linear velocity v_(0). The angular velocity Wo acquired by the ball is

A billiard ball of mass m and radius 7, when hit in a horizontal direc

1.	A billiard ball of mass m and radius 7, when hit in a horizontal direction by a cue at a height h above its centre, acquired a linear velocity v_(0). The angular velocity Wo acquired by the ball is
Answer» `(5v_(0) r^(2))/(2H)` `(2 v_(0) r^(2))/(5h)` `(2 v_(0) h)/(5r^(2))` `(5 v_(0) h)/(2r^2)` SOLUTION :When the ball is hit by a cue , the linear impulse IMPARTED to the ball = change in momentum= `mv_(0)` As is clear from figure Angular momentum = MOMENT of momentum `I omega_(0)= (mv_(0) ) h or (2)/(5) mr^(2) omega_(0) = mv_(0) h or omega_(0) = (5 v_(0) h)/(2r^(2))`