What is angular momentum? Derive an expression for the angular momentu

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

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

Answer»

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.