The suspension of an automobile can be approximately by the simplified spring-dashpot determine and plot the amplitude system. Write the differential equation defining the vertical motion of the mass relative to the rod when the system moves at speed v over a road with a sinusoidal cross section of amplitude and wave length L.Determine and plot the amplitude of the displacment of the mass relative to the road as a function of the speed v for dampling factorsc C/Cc = 0.1 , 0.5 and 0.9