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WOLFRAM|DEMONSTRATIONS PROJECT

Angular Momentum of a Rotating Particle

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u
0
v
0
θ
0.1
time
0.1
axis labels
vector labels
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
r=(cosθ,0,sinθ)
and the angular velocity vector
ω=(sinucosv,sinusinv,cosu)
. The position vector
r
(indicated by the black sphere), the velocity
v=ω×r
, and the angular momentum
L=r×v
all rotate as a function of time about the axis
ω
.
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