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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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.
Transcribed Image Text: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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