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**Moment inertia -- theoretical problem**

## Homework Statement

Show that the moment inertia of a hollow cylinder with inner radius a and outer radius b is (1/2)*M*(a^2+b^2), calculated for the center axis.

## Homework Equations

I know that the moment inertia of a non-hollow cylinder is I = (1/2) MR^2, but I don't know the moment inertia of a hollow one.

I = MR^2, generally.

K

_{rotation}= (1/2)Iw^2

## The Attempt at a Solution

I'm not entirely certain on where to start. Should I split the cylinder into two parts and work from there?