For a steady state vibration with damping under a harmonic force, show that the mechanical energy dissipated per cycle by the dashpot is E cx2mf, where c is the coefficient of damping, xm is the amplitude of the motion, and f is the circular frequency of the harmonic force

Question: For a steady-state vibration with damping under a harmonic force, show that the mechanical energy dissipated per cycle by the dashpot is E = cx2mf,

For a steady-state vibration with damping under a harmonic force, show that the mechanical energy dissipated per cycle by the dashpot is E = πcx2mωf, where c is the coefficient of damping, xm is the amplitude of the motion, and ωf is the circular frequency of the harmonic force.

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