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==Proof of conservation==
 
==Proof of conservation==
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The [[derivative]] of angular momentum with respect to time is equal to the sum of the external moments (or torque <math>\vec {\tau}</math>) applied to the system. Differentiating angular momentum gives:
+
The [[derivative]] of angular momentum with respect to time is equal to the sum of the external moments (or [[torque]] <math>\vec {\tau}</math>) applied to the system. Differentiating angular momentum gives:
    
<math>\vec {\tau} = \vec r \times \vec F + \vec{\dot{r}} \times p</math>
 
<math>\vec {\tau} = \vec r \times \vec F + \vec{\dot{r}} \times p</math>

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