Avery 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 10^4 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.

An electric motor is used to drive a power press which makes steel turning moment diagrams 323 pressings from a metal sheet. the motor runs at a mean speed of 50 rev/s. the torque required is 10.0nm for 0.2s, followed by 1.0nm for0.3 s with this sequence then being repeated. what is the minimum power required of the motor and the moment of incrtia required for the t1ywhcel if the speed fluctuations are to be restricted to 1.5%?