Explore BrainMass
Share

Moments of Inertia

This content was STOLEN 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 December 19, 2018, 10:58 pm ad1c9bdddf
https://brainmass.com/physics/mathematical-physics/moments-inertia-105951

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.

$2.19