R • VP4. An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall when the floor drops away (see the figure above). The coefficient of static friction between person and wall is µs, and the radius of the cylinder is R. (a) Show that the maximum period of revolution necessary to keep the person from falling is 1/2 T = (472 Rµs/g)*² . (b) If the rate of revolution of the cylinder is made to be somewhat larger, what happens to the magnitude of each one of the forces acting on the person? What happens in the motion of the person? (c) If the rate of revolution of the cylinder is instead made to be somewhat smaller, what happens to the magnitude of each one of the forces acting on the person? How does the motion of the person change?
R • VP4. An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall when the floor drops away (see the figure above). The coefficient of static friction between person and wall is µs, and the radius of the cylinder is R. (a) Show that the maximum period of revolution necessary to keep the person from falling is 1/2 T = (472 Rµs/g)*² . (b) If the rate of revolution of the cylinder is made to be somewhat larger, what happens to the magnitude of each one of the forces acting on the person? What happens in the motion of the person? (c) If the rate of revolution of the cylinder is instead made to be somewhat smaller, what happens to the magnitude of each one of the forces acting on the person? How does the motion of the person change?
Related questions
Question
New VP4
Transcribed Image Text:VP4. An amusement park ride consists of
a large vertical cylinder that spins about
its axis fast enough that any person inside
is held up against the wall when the floor
drops away (see the figure above). The
coefficient of static friction between
person and wall is Hs, and the radius of
the cylinder is R. (a) Show that the
maximum period of revolution necessary
to keep the person from falling is
T = (47² Rµs/g)'². (b) If the rate of
revolution of the cylinder is made to be
somewhat larger, what happens to the
magnitude of each one of the forces
acting on the person? What happens in
the motion of the person? (c) If the rate of
revolution of the cylinder is instead made
to be somewhat smaller, what happens to
the magnitude of each one of the forces
acting on the person? How does the
motion of the person change?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
