center of mass of the person from the axis of the cylinder is A. 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. c. What is the normal force? 8 d. What is the magnitude and direction of the friction force that the wall exerts on the rider?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter5: Newton's Law Of Motion
Section: Chapter Questions
Problem 65P: Consider the baby being weighed in the following figure. (a) What is the mass of the infant and...
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Activity 2.11 - Circular Dynamics Problems
1. A carnival ride consists of a hollow cylinder spinning about a vertical axis. As
the cylinder spins with a speed , 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.
C.
x:
y:
What is the normal force?
0
8
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. What is the minimum speed that the rider
can move without slipping down the wall?
Transcribed Image Text:Activity 2.11 - Circular Dynamics Problems 1. A carnival ride consists of a hollow cylinder spinning about a vertical axis. As the cylinder spins with a speed , 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. C. x: y: What is the normal force? 0 8 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. What is the minimum speed that the rider can move without slipping down the wall?
2. A conical pendulum consists of a pendulum bob of mass M at the end of a
"mass-less" string of length L. The pendulum bob travels in a horizontal
circle at a constant speed. The string is oriented at a constant angle 8 from
vertical. Give answers in terms of L, 8, M, and/or g.
a. Draw the free body diagram of forces acting on the pendulum bob.
b. Use Newton's 2nd law and circular motion dynamics to determine the
tension of the string. Show all steps in the FBD method.
c. What is the speed of the bob?
A
||
Transcribed Image Text:2. A conical pendulum consists of a pendulum bob of mass M at the end of a "mass-less" string of length L. The pendulum bob travels in a horizontal circle at a constant speed. The string is oriented at a constant angle 8 from vertical. Give answers in terms of L, 8, M, and/or g. a. Draw the free body diagram of forces acting on the pendulum bob. b. Use Newton's 2nd law and circular motion dynamics to determine the tension of the string. Show all steps in the FBD method. c. What is the speed of the bob? A ||
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