Question $2$: For the following second order system,

$($a$)$ Determine the expressions for AR and $,$ and

$($b$)$ Draw the bode plots $($magnitude ratio and phase angle plots$).$

$G(s)=\frac{K}{{}^2{s}^2+2s+1}$

Hint: substitute i $$ for $s$

$z=a+bi$

$|z|=\sqrt[\phantom{2}]{a^2+b^2}$

$=ta{n}^{-1}(\frac{b}{a})$