Question

What fraction of the total energy is kinetic when the displacement of a simple harmonic oscillator is half of its amplitude?

Answer 1

\(\frac{kinetic \ energy}{total\ energy} = \frac{\frac{1}{2}m\omega^2(A^2 - \frac{A^2}{4})}{\frac{1}{2}mw^2A^2} = \frac{3}{4}\)