On the ride "Spindletop" at the amusement park Six Flags Over Texas, people stood against the inner wall of a hollow vertical cylinder with radius 2.50 m. The cylinder started to rotate, and when the inner surface of the cylinder reached a speed of 10.0 m/s, the floor on which the people were standing dropped about 0.500 m. The people remain pinned against the wall. At the end of the ride the cylinder slows down to a stop. For the questions below, assume that the coefficient of static friction between the people and the cylinder walls is us = 0.300. (a) Before the speed slows down, what is the normal force, directed to the center of the cylinder, with which the walls push against an 85.0-kg person? (b) As the speed of the cylinder slows, at what speed do the people begin sliding down the inside of the cylinder wall? (c) Express the speed found in part (b) above in revolutions/second of the cylinder.
On the ride "Spindletop" at the amusement park Six Flags Over Texas, people stood against the inner wall of a hollow vertical cylinder with radius 2.50 m. The cylinder started to rotate, and when the inner surface of the cylinder reached a speed of 10.0 m/s, the floor on which the people were standing dropped about 0.500 m. The people remain pinned against the wall. At the end of the ride the cylinder slows down to a stop. For the questions below, assume that the coefficient of static friction between the people and the cylinder walls is us = 0.300. (a) Before the speed slows down, what is the normal force, directed to the center of the cylinder, with which the walls push against an 85.0-kg person? (b) As the speed of the cylinder slows, at what speed do the people begin sliding down the inside of the cylinder wall? (c) Express the speed found in part (b) above in revolutions/second of the cylinder.
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