For a steady-state vibration with damping under a harmonic

Chapter 19, Problem 19.150

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For a steady-state vibration with damping under a harmonic force, show that the mechanical energy dissipated per cycle by the dashpot is \(E=\mathrm{p}cx_{m}^{2} \mathrm{v}_{f}\), where c is the coefficient of damping, \(x_{m}\) is the amplitude of the motion, and \(\mathrm{v}_{f}\) is the circular frequency of the harmonic force.

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