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## Homework Statement

A uniform rectangular plate has mass m and sides a and b.

a) Show by integration that the moment of inertia of the plate about an axis is perpendicular to the plate and passes through one corner is (1/3)*m*(a^2+b^2)

## Homework Equations

I= integral( r^2, dm)

## The Attempt at a Solution

do I account this problem as 3 dimensions or 2 dimensions ??

What should be r in this case since I have a and b