Consider the single-degree-of-freedom system shown in Figure 5.42.
a. Assume f(t) = 500sin(60t) and initial conditions x(0) = 0 and (0) = 0. Determine the dynamic amplitude X and the static deflection xst of the system. Find the forced vibration response of the system.
b. Write a MATLAB m-file to plot the system’s response obtained in Part (a).
c. Construct a Simulink block diagram based on the differential equation of motion of the system and find the forced vibration response.
d. Build a Simscape model of the physical system and find the forced vibration response.
e. Assume that the driving frequency varies from 0 to 100 rad/s. Write a MATLAB m-file to plot the dimensionless ratio X/xst versus the frequency ratio ω/ωn
