Consider a particle P of mass m, having position vector , rotating about the z-axis. If is the momentum of the particle, then its angular momentum l is defined as
The magnitude of angular momentum is
and its direction is normal to the plane containing and , i.e., along the z-axis in this case.
Simplifying l = P (r sinq) = Pd, where d is perpendicular distance of the line of direction of . From (O).
If we have a collection of particles or a rigid body, the total angular momentum will be the vector sum of the angular momentum of the individual particles.
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