The unbalance of the rotor of a 180-kg motor is equivalent to

The suspension of an automobile can be approximated by the simplified spring-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 δm and wavelength L.

(b) Derive an expression for the amplitude of the vertical displacement of the mass m.

-L-

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