Automotive Technology: A Systems Approach (MindTap Course List)
Automotive Technology: A Systems Approach (MindTap Course List)
6th Edition
ISBN: 9781133612315
Author: Jack Erjavec, Rob Thompson
Publisher: Cengage Learning
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Chapter 3, Problem 23RQ

When applying the principles of work and force,

  1. work is accomplished when force is applied to an object that does not move

  • in the metric system the measurement for work is cubic centimeters
  • no work is accomplished when an object is stopped by mechanical force
  • if a 50-pound object is moved 10 feet, 500 ft.-lb of work are produced
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    (30 pts) Problem 1 A thin uniform rod of mass m and length 2r rests in a smooth hemispherical bowl of radius r. A moment M mgr 4 is applied to the rod. Assume that the bowl is fixed and its rim is in the horizontal plane. HINT: It will help you to find the length l of that portion of the rod that remains outside the bowl. M 2r a) How many degrees of freedom does this system have? b) Write an equation for the virtual work in terms of the angle 0 and the motion of the center of mass (TF) c) Derive an equation for the variation in the position of the center of mass (i.e., Sŕƒ) a. HINT: Use the center of the bowl as the coordinate system origin for the problem. d) In the case of no applied moment (i.e., M 0), derive an equation that can be used to solve for the equilibrium angle of the rod. DO NOT solve the equation e) In the case of an applied moment (i.e., M = mgr = -) derive an equation that can be used to 4 solve for the equilibrium angle of the rod. DO NOT solve the equation. f) Can…
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