Question: An underdamped second order system having a transfer function of the form (mathrm{M}(s)) (=frac{K omega_{n}^{2}}{s^{2}+2 xi omega_{n} s+omega_{n}^{2}}) has frequency response plot as shown below,

An underdamped second order system having a transfer function of the form \(\mathrm{M}(s)\) \(=\frac{K \omega_{n}^{2}}{s^{2}+2 \xi \omega_{n} s+\omega_{n}^{2}}\) has frequency response plot as shown below, then the system gain \(\mathrm{K}\) and the damping ratio approximately are
(a) \(\mathrm{K}=1, \xi=0.2\)
(b) \(\mathrm{K}=1, \xi=0.3\)
(c) \(\mathrm{K}=2, \xi=0.2\)
(d) \(\mathrm{K}=3, \xi=0.3\).

[M(jo)] 2.5 1.0 00. 3 (0)

[M(jo)] 2.5 1.0 00. 3 (0)

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To determine the system gain K and the damping ratio xi from a frequency response plot of magnitude versus angular frequency omega you can use the fol... View full answer

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