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*}
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