A single degree of freedom spring-mass-damper system with \(m=1.2 \mathrm{~kg}\), \(k=1 \times 10^{7} \mathrm{~N} / \mathrm{m}\), and \(c=364.4 \mathrm{~N}-\mathrm{s} / \mathrm{m}\) is subjected to a forcing function \(f(t)=15 e^{i \omega_{n} t} \mathrm{~N}\), where \(\omega_{n}\) is the system's natural frequency. Determine the steady-state magnitude (in \(\mu \mathrm{m}\) ) and phase (in deg) of the vibration due to this harmonic force.