A spring-mass system, with \(m=100 \mathrm{~kg}\) and \(k=400 \mathrm{~N} / \mathrm{m}\), is subjected to a harmonic force \(f(t)=F_{0} \cos \omega t\) with \(F_{0}=10 \mathrm{~N}\). Find the response of the system when \(\omega\) is equal to

(a) 2 \(\mathrm{rad} / \mathrm{s}\),

(b) \(0.2 \mathrm{rad} / \mathrm{s}\), and

(c) \(20 \mathrm{rad} / \mathrm{s}\). Discuss the results.