Magnitude of the angular momentum of particle (8-23)

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Question

Distance from the rotation axis to the particle
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Review

Figure 8-27 shows that only the component of the momentum \(\vec{p}\) that’s perpendicular to \(\vec{r}\) contributes to rotation around the axis, so only this component \(p_\perp = p \sin{\theta}\) contributes to the angular momentum. We define the magnitude of the angular momentum as: