Law of conservation of angular momentum , State and prove
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Hint -The law of conservation of Angular Momentum states that "When the net external torque acting on a system about a given axis is zero, the total angular momentum of the system about that axis remains constant." ... The external torque on a body is zero, if the angular momentum of the body is conserved.
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The linear momentum and angular momentum of the body is given by →p=m→v and →l=→r×→p about an axis through the origin. The angular momentum →l may change with time due to a torque on the particle. ∴→l = constant, i.e. →l is conserved. ... its angular velocity will also change if there is no external torque
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