Solved: In describing the heat capacities of solids in
Chapter 18, Problem 18.80(choose chapter or problem)
In describing the heat capacities of solids in Section 18.4, we stated that the potential energy of a harmonic oscillator averaged over one period of the motion is equal to the kinetic energy averaged over one period. Prove this result using Eqs. (14.13) and (14.15) for the position and velocity of a simple harmonic oscillator. For simplicity, assume that the initial position and velocity make the phase angle equal to zero. (Hint: Use the trigonometric identities and What is the average value of over one period?)
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