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Homework Help: Moment of inertia for a cylinder at a distance from rotation axis

  1. Jun 26, 2007 #1
    1. The problem statement, all variables and given/known data
    I have a cylinder, for which i want to find the inertia tensor.
    http://www.mip.sdu.dk/~pino/inertiacyl.JPG
    Where the rotational axis are either the x (red) or y (green).


    2. Relevant equations
    I know that the inertia tensor for a cylinder is of the form
    http://www.mip.sdu.dk/~pino/inertiamoment-cylinder.jpg
    Then I believe that the bottom right element stays the same, since this describes the rotation around the z-axis.
    The tricky part for me is the rest of the matrix. I am no expert, and do not understand inertia tensors fully, so I would like some pointers.


    3. The attempt at a solution
    My immediate idea is that the matrix should remain in its diagonal form, the zeros will remain zeros, is this correct?

    I know that for complex forms i can split up the moments of inertia, so i have the moment of inertia for the blank space d, which is 0. and then i can add the moment of inertia of the cylinder, but how do i calculate this, when the rotational axis is x-axis for example?
     
  2. jcsd
  3. Jun 26, 2007 #2
    I had a sudden struck of enlightment...
    Is it really as simple as just taking d+h and and using as h in the matrix?
     
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