# Category:Euler's Equations of Motion for Rotation of Rigid Body

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This category contains pages concerning **Euler's Equations of Motion for Rotation of Rigid Body**:

Let a rigid body $B$ rotate about an axis $\AA$ which is fixed in relation to $B$ and parallel to the principal axis of inertia of $B$.

Then the rotation of $B$ about $\AA$ is described by:

- $\mathbf I \cdot \dot {\boldsymbol \omega} + \boldsymbol \omega \times \paren {\mathbf I \cdot \boldsymbol\omega} = \mathbf M$

where:

- $\mathbf M$ is the torque applied to $B$ about $\AA$
- $\mathbf I$ is the moment of inertia of $B$ with respect to $\AA$
- $\boldsymbol \omega$ is the angular velocity about $\AA$.

## Pages in category "Euler's Equations of Motion for Rotation of Rigid Body"

The following 2 pages are in this category, out of 2 total.