Explore BrainMass

Moments of Inertia

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

Show that none of the principal moments of inertia can exceed the sum of the other two.

© BrainMass Inc. brainmass.com March 21, 2019, 1:48 pm ad1c9bdddf

Solution Preview

Answer is as follows:

For a rigid body of N point-masses mi, the moment of inertia with respect to the principal axes are given by:

Ixx = Sum (yi^2 + zi^2)

Iyy = Sum (xi^2 + zi^2)

Izz = Sum (xi^2 + yi^2)

Where Sum means ...

Solution Summary

Proof to this question is provided in a clear step-by step manner.