|
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
$$
\begin{eqnarray*}
x & = & A \cos\theta = A \cos \omega t \\
v & = & - A \omega \quad \sin \omega t \\
a & = & - A \omega^2 \quad \cos \omega t \\
\end{eqnarray*}
$$
|
![[BrockU]](https://www.physics.brocku.ca/images/brocku-rectangle-icon.png){kind=icon}