Question $5$:

A second$-$order servomechanism has a forward transfer function given by

G$($s$)=16$s$(2+$s$)$G$($s$)=\backslash$frac$\{16\}\{$s$(2+$ s$)\}$G$($s$)=$s$(2+$s$)16$

The feedback function is unity.

a$)$ Draw the Bode diagram showing the magnitude and the phase characteristics as a function of frequency.

b$)$ Can this system ever be unstable no matter how large the forward gain is made? Explain.