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For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillation become equal?
(1) $x = 0$
(2) $x = \pm A$
(3) $x = \pm \frac{A}{\sqrt{2}}$
(4) $x = \frac{A}{2}$
KE = PE. $\frac{1}{2}m\omega^2(A^2 - x^2) = \frac{1}{2}m\omega^2 x^2$. $2x^2 = A^2$. $x = \pm\frac{A}{\sqrt{2}}$.
BETA
