A portion of an automobile suspension system consists of an elastic spring and a viscous damper, as shown in Figure 4, such that k/m = 40 s-2. (a) Determine the allowable range (minimum limit) of the ratio c/m so that any oscil- lations that occur will decay by a factor of 95% within 1 cycle. (b) If the system is initially at rest imparting an initial vertical velocity of 0.5 m/s, determine the maximum vertical displacement of the system if c/m = 19 s-1. (c) With same initial conditions, find the response assuming the system is critically damped. (d) Plot the system reponses for all the 3 cases on a single graph and comment. m