An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall when the floor drops away(Fig.P5.60). The coefficient of static friction between person and wall is μs, and the radius of the cylinder is R.
(a) Show that the maximum period of revolution necessary to keep the person from falling is .
(b) If the rate of revolution of the cylinder is made to be somewhat large, what happens to the magnitude of each one of the forces acting on the person? What happens to the motion of the person?
(c) If instead the cylinder's rate of revolution is made to be somewhat smaller, what happens to the magnitude of each one of the forces acting on the person. What happens to the motion of the person?
