LAW OF CONSERVATION OF ANGULAR MOMENTUM | ||

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THE Law of Conservation of Angular Momentum STATES THAT: | ||

“When the net external torque acting on a system about a given axis iszero , the total angular momentum of the system about that axis remains constant.” | ||

Mathematically, | ||

If then = constant | ||

Proof | ||

According to the second law of motion net force acting on a body is equal to its rate of change of linear momentum. i.e. | ||

Taking vector product of on both side if above expression | ||

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But is the torque acting on the body | ||

… (i) | ||

Angular momentum is defined as: | ||

= x | ||

Differentiating both sides with respect to “t“ | ||

Which is the required equation. This expression states that the torque acting on a particle is the time rate of change of its angular momentum. If the net external torque on the particle is zero, then, | ||

OR | ||

Integrating both sides | ||

Thus the angular momentum of a particle is conserved if and only if the net external torque acting on a particle is zero.Search tag: law of conservation of angular momentum |

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