Torque is the rate of change of angular momentum

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created: 2022-06-24 13:54:22
modified: 2022-06-24 14:19:35

Statement:
Torque is the rate of change (time derivative) of angular momentum .

Proof

Let's expand the angular momentum to its definition with the position and linear momentum cross product, then use the product rule:

Where we used Newton 2 in the second row