Mass-Spring System

Horizontal Mass-Spring System

$\omega =\sqrt{\frac{k}{m}}$ $T=2\pi \sqrt{\frac{m}{k}}$ $f=\frac{1}{2\pi }\sqrt{\frac{k}{m}}$

Vertical Mass-Spring System

$\Delta L=\frac{mg}{k}$

Energy Conservation

Because of conversation of energy, it’s imply that

$E_{total}=\frac{1}{2}k{A}^2$

Spring in Series

$K_{eff}=\frac{k_1{k}_2}{k_1+k_2}$