Conservation theorem for the angular momentum of a single particle ↩

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created: 2022-06-24 14:19:42
modified: 2022-06-24 14:22:07

Let's consider a particle of mass and angular momentum .
Statement:
If the total torque is zero, then the rate of change (time derivative) of the angular momentum is also zero, thus the angular momentum is conserved.

Proof

This follows immediately from Torque is the rate of change of angular momentum!