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Moment of Inertia of multiple bodies in contact

  1. Sep 3, 2015 #1
    What is the overall moment of inertia of many cylinders in contact, where each is rotated about an axis through its center of mass. For example, a set of rollers. (See picture)
     

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  3. Sep 3, 2015 #2

    mfb

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    You can apply the usual formula, but if you want to know how they react to torque on a single wheel (instead of torque on the whole setup), you are probably interested in the simple sum of the individual moments.
     
  4. Sep 3, 2015 #3
    Yes, I am interested in how the whole setup reacts to a torque. So the moment of inertia of the whole assembly would be the sum of the moments of the individual parts?
     
  5. Sep 4, 2015 #4

    mfb

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    If those axes are fixed and you apply torque to a single wheel (evaluated around its axis), yes.
     
  6. Sep 4, 2015 #5
    Cool, thank you!
     
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