Relation Between The Torque And Angular Momentum Assignment Help

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We know that relation between torque and angular momentum image.gif on differentiating the equation with respect to time we get

relation between torque and angular momentum image1

= relation between torque and angular momentum image2 [As relation between torque and angular momentum image3 ]

= relation between torque and angular momentum image4 [ relation between torque and angular momentum image5relation between torque and angular momentum image6 ]

relation between torque and angular momentum image7


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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,

relation between torque and angular momentum image8

= relation between torque and angular momentum image9

This result is the rotational analogue of Newton's second law:

relation-between torque and angular momentum image10

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