Friday, September 12, 2014
Ball hitting an inclined plane
A ball with mass $m$ and radius $R$ is rolling without slip with velocity $v$ on a horizontal plane. It then hits an inclined plane with angle $\theta$, after which it continues rolling without slip upwards along the plane. How far does the ball travel along the plane before it stops? Also determine the maximum speed $v$ such that the ball does not lose contact with the plane (rebound).