A popular amusement park ride looks like a huge cylinder of radius R, where people stand up along the its vertical walls. The cylinder begins to rotate faster and faster, and when it reaches its highest speed the floor drops away. Clearly static friction between person and wall, measured by the coefficient μs, is holding the people in place against the wall.

A. Derive an expression for the maximum period of rotation that will prevent people from falling?

B. Assuming that the coefficient of static friction is 0.5 and the radius of the cylinder is 2.4 m, what are the minimum rotations per second the cylinder must make so that the people are safe?

C. What happens to each one of the forces acting on a person inside the cylinder if the rotation rate of the cylinder increases from what you calculated in b