Relation Between Torque and Angular Momentum

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We know that angular momentum

L = r×p = m(r×v)

Now, differentiating with respect to time

Relation Between Torque and Angular Momentum
Relation Between Torque and Angular Momentum
Relation Between Torque and Angular Momentum
Relation Between Torque and Angular Momentum

So, the rate of change of angular momentum is equal to the torque applied.

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