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  4. Total angular momentum of a rotating body remains constant,, if the net torque acting on the body is:

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Q. Total angular momentum of a rotating body remains constant,, if the net torque acting on the body is:

Jharkhand CECEJharkhand CECE 2005System of Particles and Rotational Motion

Solution:

From law of conservation of angular momentum, when no external torque acts on a rotating body, then the total angular momentum of the body remains constant.
That is, If $\tau=\frac{d J}{d t}=0 $
$\Rightarrow J=I \omega=$ constant
where $I$ is moment of inertia and cd is angular velocity.