For a dynamic system whose plant transfer function is given by

\[G(s)=\frac{s+1}{s^{2}+100 s}\]

(a) Draw the two Bode plots (magnitude and phase angle) for the system.

(b) Draw the Bode plots for a pure time delay function represented by \(g(t-\tau)\).

(c) If the above system has a time delay of one second, how does this affect its Bode plots.