One of the wheels and leaf springs of an automobile, traveling over a rough road, is
shown in Figure 1 below. For simplicity, all the wheels can be assumed to be
identical and the system can be idealized as shown in Figure 2 below. The
automobile has a mass of m1 = 1000 kg and the leaf springs have a total stiffness of
k1 = 400kN/m. The wheels and axles have a mass of m2 =300kg and the tires have
a stiffness of k2= 500kN/m. If the road surface varies sinusoid ally with an
amplitude of Y = 0.1 and a period of l = 6m find the critical velocities of the �
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