\section{Oscillations}

This unit develops the mechanics of oscillatory motion about stable equilibrium. We begin with the defining linear restoring-force model for simple harmonic motion (SHM), write its governing differential equation, and connect the motion to sinusoidal solutions, angular frequency, period, and frequency.

We then apply that framework to spring-mass oscillators, interpret SHM through energy, and finish with pendulum models. In AP Physics C: Mechanics, the pendulum results here are used in the small-angle regime, and the focus remains on undamped, unforced oscillations rather than broader circuit or driven-oscillation extensions.

\input{concepts/mechanics/u7/m7-1-shm.tex}

\input{concepts/mechanics/u7/m7-2-spring-oscillator.tex}

\input{concepts/mechanics/u7/m7-3-shm-energy.tex}

\input{concepts/mechanics/u7/m7-4-simple-pendulum.tex}

\input{concepts/mechanics/u7/m7-5-physical-pendulum.tex}
