- #1

Wminus

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## Homework Statement

See the attached image.

## Homework Equations

##T = 1/2 \omega^2 I##

## The Attempt at a Solution

So ##I_1,I_2,I_3## are just the moments of inertia of the object with regards to the 3 axes. Right? OK, then I intuitively assume that the total kinetic energy must simply be $$T=\frac{1}{2} (I_1\omega_1^2+I_2\omega_2^2+I_3\omega_3^2)$$ since the kinetic energy around axis ##i## is just ##I_i\omega_i^2##. But I can't seem to prove it.. Can you guys help me?