State and prove the principal of conservation of angular momentum
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Principle of conservation of angular momentum states that, If no external torque acts on a system, the total angular momentum of the system remains constant. If I be the moment of inertia of a body about a given axis of rotation and w be its angular velocity, then I w = constant.
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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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