Problem 4: A block of mass m slides down a frictionless incline as:
The block is released from height h above the bottom of the circular loop.
(a) Find the force exerted on the block by the inclined track at point A. (Hint: Consider the Newton's 2nd law in the radial direction and you may use polar coordinates for this circular part of the path to relate the acceleration and velocity components).
(b) Find the force exerted on the block by the inclined track at point B.
(c) Find the speed of the block at point B.
(d) What is the maximum height that the block can reach after leaving the track?
(e) Find the distance between point A and the point that the block land on ground level?