- #1

Silviu

- 624

- 11

## Homework Statement

Calculate ##\int x^2 dV## over an ellipsoid with semi-axes a, b and c along x, y and z. rotating around the z axis with an angular speed ##\omega##.

## Homework Equations

## The Attempt at a Solution

I managed to calculate this in the case when it is not rotating and I got ##\frac{4\pi}{15}a^3bc##. But I am not sure how to do it now I expected to get the same result as before times ##cos^2(\omega t)## but the result seems to be ##cos^2(\omega t) \int x^2 dV + sin^2(\omega t)\int y^2 dV##. Can someone help me with this? Thank you!