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Show that for a particle in linear SHM t...

Show that for a particle in linear SHM the average kinetic energy over a period of oscillation equals the average potential energy over the same period.

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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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