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Q.
In a simple harmonic oscillation, what fraction of total mechanical energy is in the form of kinetic energy, when the particle is midway between mean and extreme position.
$K=\frac{1}{2} m \omega^{2}\left(A^{2}-x^{2}\right)$
$=\frac{1}{2} m \omega^{2}\left(A^{2}-\frac{A^{2}}{4}\right)$
$=\frac{1}{2} m \omega^{2}\left(\frac{3 A^{2}}{4}\right)$
$K=\frac{3}{4}\left(\frac{1}{2} m \omega^{2} A^{2}\right)$