Dynamics of SHM
$F_{spring}=kx=ma=\omega^2x$
$k=\omega^2m$
$\omega^2=\frac{k}{m}$ → $\omega=\sqrt{\frac{k}{m}}$
Period of SMH
$T=\frac{5\pi}{\omega}=\frac{2\pi}{\frac{k}{m}}=2\pi\sqrt{\frac{m}{k}}$
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$F_{spring}=kx=ma=\omega^2x$
$k=\omega^2m$
$\omega^2=\frac{k}{m}$ → $\omega=\sqrt{\frac{k}{m}}$
Period of SMH
$T=\frac{5\pi}{\omega}=\frac{2\pi}{\frac{k}{m}}=2\pi\sqrt{\frac{m}{k}}$