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Show that for a particle executing simpl...

Show that for a particle executing simple harmonic motion the average value of kinetic energy is equal to the average value of potential energy.

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Hint: Average K.E. `=1/Tint_(0)^(T)1/2mv^(2)dt,` Average P.E. `=1/Tint_(0)^(T)1/2kx^(2)dt`
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