Angular Kinetics
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Torque
Angular Momentum

Torque

The torque or the rotating force acting on a particle with respect to the origin of the reference frame is defined as

    [1]

where r = the position vector of the particle, and F = the force acting on the particle. [1] can be rewritten as

    [2]

since

    [3]

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Angular Momentum

[2] can be rewritten as

    [4]

where

    [5]

H shown in [4] & [5] is the angular momentum of the particle. Angular momentum is defined as the amount of the angular motion.

From [4]:

    [6]

where t = the time, to = the initial time, and Ho = the initial angular momentum at to. From [6], the angular impulse is the accumulated effect of the torque exertion on the particle:

    [7]

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Young-Hoo Kwon, 1998-