Moment of inertia of a cylinder

  • #1
irishetalon00
18
0

Homework Statement


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

Homework Equations


∑miri2

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?
 
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  • #2
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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