A very common example of base motion is the single-degree-of-freedom model of an automobile driving over a rough road. The road is modeled as providing a base motion displacement of y(t) = (0.01)sin(5.818t) m.
The suspension provides an equivalent stiffness of k = 3.273 x 104 N/m, a damping coefficient of c = 231 kg/s, and a mass of 1007 kg.
Determine the amplitude of the absolute displacement of the automobile mass.