# 33.1 Worked Example - Angular Momentum of 2 Rotating Point Particles

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Two identical particles of mass $$\displaystyle m$$ move in a circle of radius $$\displaystyle R$$, $$\displaystyle 180^ o$$ out of phase, at an angular velocity $$\displaystyle \vec{\omega } = \omega _ z\hat{k}$$ in a plane parallel to but a distance $$\displaystyle h$$ above the x-y plane. Treat the two particles as a system.

Calculate $$\displaystyle \vec{L}_ S$$, the angular momentum of the system about point $$\displaystyle S$$. Express your answer in terms of $$\displaystyle m$$, $$\displaystyle R$$, $$\displaystyle h$$, $$\displaystyle \omega _ z$$, $$\displaystyle \hat{k}$$, and $$\displaystyle \hat{r}$$ as needed.

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