The spool has a mass, m, and a radius of gyration, kG. The inextensible cord is attached to the wall at A. The cord is wound around the radius R, and the out radius 2R. The coefficient of friction between the ground and the spool is mu.  Given the quantites given, m, kG, R, and mu, write the solution in terms of the given quatities. Find the critical force (force required to cause motion) Fcrit. The force is applied at point B. See attached drawing. Let the force be 2Fcrit. What is the linear acceleration of the center of mass? If the force is 2Fcrit, what is the tension in the cord AC?

University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter2: Vectors
Section: Chapter Questions
Problem 68P: Find the cross product for (a) and (b) and (c) and and (d) and
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The spool has a mass, m, and a radius of gyration, kG. The inextensible cord is attached to the wall at A. The cord is wound around the radius R, and the out radius 2R. The coefficient of friction between the ground and the spool is mu. 

Given the quantites given, m, kG, R, and mu, write the solution in terms of the given quatities.

  • Find the critical force (force required to cause motion) Fcrit. The force is applied at point B. See attached drawing.
  • Let the force be 2Fcrit. What is the linear acceleration of the center of mass?
  • If the force is 2Fcrit, what is the tension in the cord AC?
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