Repeat Problem 8 for the system shown in Figure 5.45, where the cam and follower impart a displacement \(z\) to the lower end of the system.

Data From Problem 8:

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 \(\dot{x}\).

FIGURE 5.45 Problem 9. ell m 1* elle k 1z