For the system shown in figure with a damping ratio \(\zeta\) of 0.7 and an undamped natural frequency \(\omega_{n}\) of \(4 \mathrm{rad} / \mathrm{sec}\), the values of \(\mathrm{K}\) and \(a\) are:

(a) \(\mathrm{K}=4, \quad a=0.35\)
(b) \(\mathrm{K}=8, \quad a=0.455\)
(c) \(\mathrm{K}=16, a=0.225\)
(d) \(\mathrm{K}=64, a=0.9\)

Transcribed Image Text:

R(s) K s(s+ 2) 1 + as -C(s)