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What is angular momentum? Derive an expression for the angular momentum of a rotating body.

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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.

∴ Total angular momnetum of the body is L = (Σ mr2ω) = (Σ mr2)

ω = lω where l = Σ mr2.

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