In a simple harmonic oscillation, what fraction of total mechanical...

$K = \dfrac{1}{2}m{\omega}^{2}\left({A}^{2} - {x}^{2}\right)$

$= \dfrac{1}{2}m{\omega}^{2}\left({A}^{2} - \dfrac{{A}^{2}}{4}\right)$

$= \dfrac{1}{2}m{\omega}^{2}\left(\dfrac{3{A}^{2}}{4}\right)$

$K = \dfrac{3}{4}\left(\dfrac{1}{2}m{\omega}^{2}{A}^{2}\right)$