Q$3.$ Consider the system shown in Figure $3.$ Plot the root loci? What value of $\backslash (\backslash$mathbf$\{$k$\}\backslash )$ will give a damping ratio of the dominant closed$-$loop poles equal to $\backslash (\backslash$mathbf$\{0.5\}\backslash )?$ Find the static velocity error constant $(\backslash (\backslash$mathbf$\{$K$\}\_\{\backslash$mathbf$\{$v$\}\}\backslash ))$ of the system with this value of $\backslash (\backslash$mathbf$\{$k$\}\backslash )?(\backslash (\backslash$mathbf$\{40\}\backslash )$ Marks$)$