Practice portal › Rotational Motion › Angular Momentum
Asked in JEE Main 31st Aug 1st Shift 2021 · Angular momentum of a particle
Take the reference point at the centre of the circle.
The position vector has constant length r and the speed is constant at v.
For circular motion the velocity is always perpendicular to the radius, so |⃗r×⃗v|=rv at every instant.
|⃗L|=mvr, a constant.
The direction of ⃗r×⃗v is perpendicular to the plane of the circle, and the particle never leaves that plane, so the direction is fixed too.
Angular momentum remains the same in both magnitude and direction.
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