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Moment of Inertia of a Wagon Wheel

  • Thread starter Trojanof01
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  • #1
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A wagon wheel is constructed as shown in the figure. The radius of the wheel is 0.300 m, and the rim has mass 1.36kg . Each of the eight spokes, that lie along a diameter and are 0.300 m long, has mass 0.270kg .

What is the moment of inertia?


Wouldn't it just be the sum of the masses times the radius squared?

I = 1.36(.300)^2 + .8(.270(.300^2))
 

Answers and Replies

  • #2
Doc Al
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Wouldn't it just be the sum of the masses times the radius squared?
For the rim, yes; for the spokes, no. The mass of the rim is all at a single distance from the axis; not so for the mass of the spokes. Hint: Look up (or figure out) the moment of inertia of a thin rod about one end. (Treat the spokes as thin rods.)
 
  • #3
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Oh! /smack That made that so much more simple. Thanks much.
 

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