The system shown in Figure 5.44 simulates a vehicle traveling on a rough road. The input is the displacement \(z\).

a. Draw the necessary free-body diagram and derive the differential equation of motion.

b. Assuming zero initial conditions, determine the transfer function for two different cases of output: (1) displacement \(x\) and (2) velocity \(\dot{x}\).

c. Determine the state-space representation for two different cases of output: (1) displacement \(x\) and (2) velocity \(\dot{x}\).

Transcribed Image Text:

FIGURE 5.44 Problem 8. m x