A typical suspension system of a vehicle consists of a coil spring and a shock absorber (damper) at each tire as shown in Figure 1A. This system can be modeled by a series of spring mass dampers as shown in Figure 1B, where KT is the elastic coefficient of the tire while KS and CS represents elastic and damping coefficients of the suspension system. MV and MW are the mass of the vehicle and the wheel respectively. Assume that the automobile is moving with a velocity V on a rough road. In this problem, the rough road can be modeled by a sinusoidal function with a wave length of 6 m and amplitude of 5 cm.

\fAssignment: a} Draw the free handy diagrams and write the equatiuns ef metiun fur the mudel snspsensiun system. 1:} Put the equatiens in matrix farm and puee as an eigEnvelue prehlem. e} Assuming the damping eue-leient C3 equal in aeru1 use MATLAB \"e115\" cemmand te nd the natural Equenciee ef the system far the fellewing settings: Mw = ED kg,M1.- = lall] kg. Ha = :15 kam, K; = 4m kam, E\