PrepZii

formula

SHM Equation, Frequency and Period

The source starts SHM with restoring force, the general equation, angular frequency, and time period.

F=-kx

x=A\sin(\omega t+\phi)

\omega=\frac{2\pi}{T}=2\pi f

T=\frac{2\pi}{\omega}=2\pi\sqrt{\frac{m}{k}}

$A$

amplitude

$k$

spring constant or wave number depending on context

$\phi$

initial phase