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Moment of inertia of a cylinder

  1. Dec 8, 2015 #1
    1. The problem statement, all variables and given/known data
    Need to find the moment of inertia of a cylinder, about its center of mass, about the three principle axes. Z axis is normal to the circular faces of the cylinder. mass = M, radius = R, height = h

    2. Relevant equations
    ∑miri2

    3. The attempt at a solution
    The Izz for whatever reason is trivial for me, easy to solve.
    The Iyy = Ixx I'm having trouble with. I think it might be because this requires a double integral?
     
  2. jcsd
  3. Dec 8, 2015 #2

    BvU

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    What relationships have you got available to tackle this ? Familiar with the parallel axis theorem ? If you have ##I## for a disk around an axis through the center in its own plane, then your double becomes a single ...
     
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