# Angular Momentum of a Rotating Particle

Angular Momentum of a Rotating Particle

Applying a torque to a particle about a given axis imparts an angular momentum that is not necessarily along the same axis. This is illustrated in this Demonstration for a particle of unit mass. You can vary the initial particle position and the angular velocity vector . The position vector (indicated by the black sphere), the velocity , and the angular momentum all rotate as a function of time about the axis .

r=(cosθ,0,sinθ)

ω=(sinucosv,sinusinv,cosu)

r

v=ω×r

L=r×v

ω