When was angular momentum conserved?

We know that L=Iω That is Angular momentum is equal to product of moment of inertia and angular velocity.

Now differentiating with respect to time,
dL/dt=d(Iω)/dt

But we know that the rate of change of angular momentum is equal to net external
torque i.e.
dL/dt=τ

therefore if no exterannal torque is acting on the body i.e.

τ=0then dL/dt=0
in other words d(Iω)/dt=0

because
dL/dt=d(Iω)/dt
Hence angular momentum is conserved or angular momentun does not change with time if the net external force acting on the body is zero.

hope this helps

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