# Moment of inertia of a cylinder

1. Dec 8, 2015

### irishetalon00

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. Dec 8, 2015

### BvU

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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