We know that
on differentiating the equation with respect to time we get
=
[As
]
=
[
]
The above equation is also known as Newton's IInd law of rotation. Hence the time rate of change of angular momentum is equal to net external torque applied an the body.
The simplified form of this equation in the case of pure rotation is,
=
This result is the rotational analogue of Newton's second law:
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