Math, asked by xxkarishma01xx, 4 days ago

1) Define angular momentum and derive equation for angular momentum of rotating body 2) State and explain law of conservation of angular momentum and give its 2 example​

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Answered by Mìßßy
2

Answer:

Just as linear momentum is conserved when there is no net external forces, angular momentum is constant or conserved when the net torque is zero. ... We can see this by considering Newton's 2nd law for rotational motion: →τ=d→Ldt τ → = d L → d t , where τ is the torque.

(1)The angular momentum of the particle is defined as the moment of momentum about the axis of rotation. ∴ Angular momentum = linear momentum x perpendicular distance from the axis. If ω is the angular velocity of the particle, then the linear velocity v = r ω. ∴ Angular momentum of each particle = (mv)r = (mrω) r = mr2ω.

(2)Statement: The angular momentum of a body remains constant if the resultant external torque acting on the body is zero. Example: ... When she suddenly folds her arms and brings the stretched leg close to the body, her angular velocity increases on account of the decrease in moment of inertia.

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