(10%) Problem 5: A common carnival ride, called a gravitron, is a large cylinder in which people stand against the wall of the ride as it rotates. At a certain point the floor of the cylinder lowers and the people are surprised that they don't slide down. Suppose the radius of the cylinder is 7 = 17 m, and the friction between the wall and their clothes is s = 0.57. Consider the tangential speed v of the ride's occupants as the cylinder spins. 50% Part (a) What is the minimum speed, in meters per second, that the cylinder must make a person move at to ensure they will "stick" to the wall? 50% Part (b) What is the frequency fin revolutions per minute of the carnival ride when it has reached the minimum speed to "stick" someone to the wall? Grade Summa