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Single degree of freedom vibration problems with forcing functions

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Need help with this Undergraduate problem where two dampers are in series.

For a vertical spring/damper system with mass (M) and a harmonic forcing function, Fmax Cos [omega x t] , two dampers are in series with coefficients, C1 and C2, and a single spring with constant, k.

Determine the amplitude of the steady-state displacement.

Determine the critical damping coefficient, Ccr.

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