Show that in order to get a billiard ball to roll without sliding from the start the cue must hit the ball not at the center (that is, a height above the table equal to the ball's radius R) but exactly at a height `2/5`R above the center
[Hint, Consider linear momentum and angular motion of the ball. Apply the condtion for rolling without sliding. F = ma and `tau = F xx h = 2/5mR^(2)xx alpha`. Condition rolling without a sliding it a`=alphaR]`