Can angular momentum be conserved?

Mar 3, 2018

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

Explanation:

$\frac{d}{\mathrm{dt}} \vec{L} = \vec{\tau}$ where $\vec{L}$ is net angular momentum and $\vec{\tau}$ is net torque

So if net torque = 0
we get,
$\vec{\tau} = 0$

$\implies \frac{d}{\mathrm{dt}} \vec{L} = 0$
no change in net angular momentum, hence it is conserved.