The uniform plate has thickness t, radius r, and density Ρ. Assuming t << r, use...

The uniform plate has thickness t, radius r, and density _Ρ.

Assuming t << r, use integration with a mass element parallel to the

y axis (as in Example 10.2 on p. 580) to determine the mass moment of inertia about the y axis. Express your answer in terms of the mass m of the plate.