1What is the undamped angular velocity ($\omega_0$) of an oscillating point mass on a spring?
$\omega_0 = \sqrt{\frac{k}{m}}$
2What is the undamped angular velocity ($\omega_0$) of an oscillating point mass on a pendulum?
$\omega_0 = \sqrt{\frac{g}{l}}$
3What is the undamped angular velocity ($\omega_0$) of any oscillation in terms of f or T?
$\omega_0 = 2 \pi f_0 = \frac{2 \pi}{T}$
4What is the undamped time period (T) of any oscillation in terms of f?
$T = \frac{1}{f_0}$
5What is the x(t) of an undamped oscillating mass?
$x(t) = x_0 \cos(\omega_0 t + \phi)$
6What is the equation of the phase constant ($\phi$)?
$\phi = 2\pi \frac{\Delta t}{T}$
7What is the equation for the total energy ($E_T$) of an undamped oscillating point mass on a spring?
$E_T = \frac{1}{2} m v(t)^2 + \frac{1}{2} k x(t)^2 =\, \frac{1}{2} k x_0^2$
8What is the equation for the total energy ($E_T$) of an undamped oscillating mass on a pendulum?
$E_T = \frac{1}{2} m v(t)^2 + mgh$
9What are the two conditions/signs of SHM?
$F_{restoring}\ \propto\ -x(t) $ (restoring force is proportional to negative displacement)
$E_p = \frac{1}{2} \beta x(t)^2$ (Potential energy is quadratic)