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Chapter 8: Angular Motion and Statics

Difficulty Level: At Grade Created by: CK-12

We have looked at circular motion using the same measures as linear motion.  To look at rotation in more detail, though, we need to work in rotational units - measuring the angle rotated through, the angular sped, and angular acceleration.

Chapter Outline

Chapter Summary

1. Angular momentum is defined as the product of rotational inertia and angular velocity.
2. Torque is defined as τ=rFsinθ\begin{align*}\tau=rF \sin \theta\end{align*}, where the angle θ\begin{align*}\theta\end{align*} is the angle between the lever arm r\begin{align*}r\end{align*} and force F\begin{align*}F\end{align*}. The symbol for torque is the Greek letter tau (τ)\begin{align*}(\tau)\end{align*}
3. By definition a counterclockwise torque is positive and a clockwise torque is negative.
4. Two conditions of equilibrium:
1. Translational equilibrium: F=Fnet=0\begin{align*}\sum F=F_{net}=0\end{align*}
2. Rotational equilibrium: τ=τnet=0\begin{align*}\sum \tau=\tau_{net}=0\end{align*}

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Date Created:
Jun 10, 2014