Consider the mass-spring-damper system shown in Problem 9 of Problem Set 5.2, in which the cam and follower impart a displacement \(z(t)\) in the form of a periodic sawtooth function (Figure 5.131) to the lower end of the system. The values of the system parameters are \(m=12 \mathrm{~kg}, b=200 \mathrm{~N} \cdot \mathrm{s} / \mathrm{m}, k_{1}=4000 \mathrm{~N} / \mathrm{m}\), and \(k_{2}=2000 \mathrm{~N} / \mathrm{m}\).

a. Build a Simulink model based on the differential equation of motion of the system and find the displacement output \(x(t)\).

b. Build a Simscape model of the physical system and find the displacement output \(x(t)\).

FIGURE 5.131 Problem 13. 0.03 0 z (m) m 1.5 2 t(s)