Moment of Inertia of multiple bodies in contact

  • #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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Answers and Replies

  • #2
35,437
11,857
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.
 
  • #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?
 
  • #4
35,437
11,857
If those axes are fixed and you apply torque to a single wheel (evaluated around its axis), yes.
 
  • #5
Cool, thank you!
 

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