1. A carnival ride consists of a hollow cylinder spinning about a vertical axis. As the cylinder spins with a speed vo, a person of mass M rides the inside wall of the cylinder without slipping down (there is no floor). The distance of the center of mass of the person from the axis of the cylinder is R. a. Draw the free body diagram of forces acting on the person during the ride. Show your choice for the +x and +y directions. b. Write out Newton's 2nd law in the x and y directions. Set the RHS of the equations to zero or Mv²/R or -Mv²/R. X: y: c. What is the normal force? d. What is the magnitude and direction of the friction force that the wall exerts on the rider? e. What is the magnitude and direction of the friction force the rider exerts on the wall? f. The coefficient of static friction between the wall and the rider is ug. What is the minimum speed that the rider can move without slipping down the wall?

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. A carnival ride consists of a hollow cylinder spinning about a vertical axis. As
the cylinder spins with a speed vo, a person of mass M rides the inside wall
of the cylinder without slipping down (there is no floor). The distance of the
center of mass of the person from the axis of the cylinder is R.
a. Draw the free body diagram of forces acting on the person during the
ride. Show your choice for the +x and +y directions.
b. Write out Newton's 2nd law in the x and y directions. Set the RHS of the
equations to zero or Mv²/R or –Mv²/R.
X:
y:
c. What is the normal force?
d. What is the magnitude and direction of the friction force that the wall exerts on the rider?
e. What is the magnitude and direction of the friction force the rider exerts on the wall?
f. The coefficient of static friction between the wall and the rider is µg. What is the minimum speed that the rider
can move without slipping down the wall?
Transcribed Image Text:1. A carnival ride consists of a hollow cylinder spinning about a vertical axis. As the cylinder spins with a speed vo, a person of mass M rides the inside wall of the cylinder without slipping down (there is no floor). The distance of the center of mass of the person from the axis of the cylinder is R. a. Draw the free body diagram of forces acting on the person during the ride. Show your choice for the +x and +y directions. b. Write out Newton's 2nd law in the x and y directions. Set the RHS of the equations to zero or Mv²/R or –Mv²/R. X: y: c. What is the normal force? d. What is the magnitude and direction of the friction force that the wall exerts on the rider? e. What is the magnitude and direction of the friction force the rider exerts on the wall? f. The coefficient of static friction between the wall and the rider is µg. What is the minimum speed that the rider can move without slipping down the wall?
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