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The question is:

A simple harmonic oscillator has total energy E=1/2kA^2

where A is the amplitude of oscillation.

For what value of the displacement does the kinetic energy equal the potential energy?

So I figure that if KE is equal to PE, then PE=1/2E

Therefore:

1/2kx^2 =1/2(1/2kA^2)

kx^2 = 1/2kA^2

x = 1/4A

Any ideas?