Total mechanical energy:

$\overline{)\begin{array}{rcl}{\mathbf{E}}& {\mathbf{=}}& \mathbf{P}\mathbf{.}\mathbf{E}\mathbf{+}\mathbf{K}\mathbf{.}\mathbf{E}\\ {\mathbf{E}}& {\mathbf{=}}& \frac{\mathbf{1}}{\mathbf{2}}\mathbf{k}{\mathbf{x}}^{\mathbf{2}}\mathbf{+}\frac{\mathbf{1}}{\mathbf{2}}\mathbf{m}{\mathbf{v}}^{\mathbf{2}}\end{array}}$

Displacement at extreme ends is the same as amplitude, A.

At what displacement of a SHO is the energy half kinetic and half potential?

Express your answer in terms of amplitude A.

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