A ride at a carnival involves lining people up against the inner wall of a cylinder with a radius of 5 meters. The cylinder spins at some appropriate speed and then the floor of the cylinder drops away, causing the people to scream. The coefficient of static friction between a person's back and the wall of the cylinder is μ= 0.4. The coefficient of sliding friction is μ= 0.35.
a. Draw a free-body diagram of a person of mass M in this ride after the floor of the cylinder has dropped away, assuming the person doesn't slip. (Please draw this, clearly, on the next page. Label the forces.)
b. State the size of each of the forces in your free-body diagram.
c. What is the minimum speed at which a person with a mass of M= 75kg need to be moving to keep from slipping?
d. If the cylinder rotates fast enough so that the person's speed is twice as fast as the speed found in (c), what force of friction will the person experience?