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Can angular momentum be conserved?

1 Answer

Mar 3, 2018

Angular momentum is conserved in a system if net torque on the system is 0.

Explanation:

$\frac{d}{d t} \to L = \to τ$ $d/dtvec L = vec tau$ where $\to L$ $vec L$ is net angular momentum and $\to τ$ $vec tau$ is net torque

So if net torque = 0
we get,
$\to τ = 0$ $vec tau = 0$

$\Rightarrow \frac{d}{d t} \to L = 0$ $=> d/dtvecL = 0$
no change in net angular momentum, hence it is conserved.

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