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a)Prove that in simple harmonic motion the average potential energy equals the average kinetic energy when the aver- age is taken with respect to time over one period of the motion, and that each average equals (b) Prove that when the average is taken with respect to position over one cycle, the average potential energy equals h and the average kinetic energy equals . (c) Explain physically why the results for (a) and (b) are different.
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