\section{Torque and Rotational Dynamics}

This unit extends translational mechanics to fixed-axis rotational motion. We begin with angular position $\theta$, angular velocity $\omega$, and angular acceleration $\alpha$, then connect those quantities to the corresponding linear quantities for points on a rigid body.

We next develop the rotational analogs of force and mass through torque $\vec{\tau}$ and moment of inertia $I$, apply equilibrium ideas to situations with no angular acceleration, and conclude with the rotational dynamics relation $\sum \tau = I\alpha$ for planar rigid-body rotation in AP Physics scope.

\input{concepts/mechanics/u5/m5-1-angular-kinematics.tex}

\input{concepts/mechanics/u5/m5-2-linear-rotational-link.tex}

\input{concepts/mechanics/u5/m5-3-torque.tex}

\input{concepts/mechanics/u5/m5-4-moment-of-inertia.tex}

\input{concepts/mechanics/u5/m5-5-rotational-equilibrium.tex}

\input{concepts/mechanics/u5/m5-6-rotation-dynamics.tex}