# Angular Momentum of a Rotating Rigid Body

Angular Momentum of a Rotating Rigid Body

The angular momentum of a rigid body with angular velocity is given by , where is the inertia tensor. This Demonstration shows the rotation of an axially symmetric ellipsoid rotating about a fixed angular velocity vector . The body axes , , (indicated by the red, green, and blue spheres) and the angular momentum rotate as functions of time. The space axes , , are indicated by the red, green, and blue arrows. The body’s height and radius can be adjusted, as can the angular velocity .

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ω

L=I·ω

I

ω

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e

2

e

3

L

x

y

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ω={sinucosv,sinusinv,cosu}