The suspension of an automobile can be approximated by the

Chapter 19, Problem 19.151

(choose chapter or problem)

The suspension of an automobile can be approximated by the simplified spring-and-dashpot system shown. (a) Write the differential equation defining the vertical displacement of the mass m when the system moves at a speed v over a road with a sinusoidal cross section of amplitude \(\mathrm{d}_{m}\) and wave length L. (b) Derive an expression for the amplitude of the vertical displacement of the mass m.

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