Question

state and prove the law of conservation of angular momentum

Answer 1

Law of conservation of angular momentum states that the angular momentum of a rotating system about an axis remains constant in absence of any external torque.

angular momentum = moment of inertia×angular velocity

Answer 2

Answer:

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