The suspension of an automobile can be approximated by the simplified spring-and-dashpot s...

The suspension of an automobile can be approximated by the simplified spring-and-dashpot system shown, (a) W rite tin differential equation defining the vertical displacement of the mass mwhen the system moves at a speed r over a road with a sinu-soidal cross section of amplitude δmand wave length L. (b) Derive an expression for the amplitude of the vertical displacement of the mass m.