# 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

- 8.1.
## Angular Momentum

- 8.2.
## Torque

- 8.3.
## Two Conditions of Equilibrium

- 8.4.
## Applications of Equilibrium Conditions

### Chapter Summary

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

- Translational equilibrium: \begin{align*}\sum F=F_{net}=0\end{align*}

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Description

Covers angular momentum and torque along with translational and rotational equilibrium.

Difficulty Level:

At Grade
Authors:

Editors:

Subjects:

Date Created:

Jun 27, 2013
Last Modified:

Jan 14, 2016
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