Solve Problem 14 for \(k=40 \mathrm{lb} /\) in and \(W=20 \mathrm{lb}\).

14. For a mass-spring-damper system under harmonic loading per unit mass F(t)/mcos ut ft/s, solve wt for the response amplitude for the case where k = 20 lb/in, W40 lb, and then plot 3 for a broad range of driving frequencies w. If 0 w3wn, discuss design considerations for the system as the force is varied from the rest state (w = 0) to its highest frequency (w=3wn). Consider the damp- ing cases: 0.01, 0.1, 0.5. Discuss parameters of possible concern such as xmax and whether material yielding could be of concern.