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You are on an amusement park ride with your back against the wall of a spinning vertical cylinder. The floor falls away and you are held up by static friction. Assume your mass is 73 kg.

(a) Draw a free-body diagram of yourself. (Do this on paper. Your instructor may ask you to turn in this work.)

(b) Use this diagram with Newton's laws to determine the force of friction on you.

(c) If the radius of the cylinder is 4.0 m and the coefficient of static friction between you and the wall is 0.51. What is the minimum number of revolutions per minute necessary to prevent you from sliding down the wall?

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