Inertia Tensors for Fractional Volumes: How to Calculate?

[springo]

Homework Statement

How do you find the tensor of inertia for fractions of the usual volumes?
(like half of a sphere, half of a cylinder, half of a disk, quarter of a disk, etc.)

I already know the tensor of inertia for the whole volume.
Take M as the fraction of the volume's mass, not the whole volume's.

Homework Equations

The Attempt at a Solution

I have no idea where to start...

Thanks.

 

[springo]

Sunday bump... :)