4. = 2 1 (rad/s), = 0.5 (m) and plot the total response to the harmonically excited mass-spring-damper system x + 2(wnx + w/2x = fo sin(wt) for wn $ = 0.1, fo = 5 (N/kg), w = 2 0.2 (rad/s), with the initial conditions xo 0 (m/s). Alternatively, you can code the analytical solution, if you prefer. (a) Calculate Q. vo (b) Verify that the system reaches steady state after about Q cycles. (d) Does this correspond with the steady state displacement shown in your plot? 5. Now redo the plot from problem 4, keeping everything the same, except change the excitation frequency so that w = wn. (a) The quality factor Q has not changed. Does it still predict approximately the number of cycles to reach steady state? (c) Does this correspond with the steady state displacement shown in your plot?