A semi-circular track A of radius R is at rest on the horizontal plane, where A is adjacent to block B. A small block C is released from the top position of the curved surface of A, as shown in the figure. The initial height of block C is h above the horizontal plane. Assume that objects A, B, and C have the same mass m and all surfaces are smooth, solve the following problems. (a) Find the speed of B when A and B just separate. (10 marks) (b) Find the maximum height that C can reach. Your measurement should be made from the horizontal plane. (10 marks)
