Simple harmonic oscillator (SHO)

Hooke's Law \[ F = -k x \] Frequency of oscillations \[ f = {1\over{T}} \qquad \omega = 2 \pi f = \sqrt{{k\over m}} \]

Equations of motion \begin{eqnarray*} x & = & A \cos\theta = A \cos \omega t \\ v & = & - A \, \omega \, \sin \omega t \\ a & = & - A \, \omega^2 \, \cos \omega t \\ \end{eqnarray*}