Bode plot of a stable system is shown in fig. The transfer function of the system is

The open-loop transfer function of a feedback control system is G(s)=$${1 \over {{{\left( {s + 1} \right)}^3}}}$$
The gain margin of the system is

From the Nicholas chart, one can determine the following quantities pertaining to a closed loop system:

The popular plot of G(s)=$${{10} \over {s{{\left( {s + 1} \right)}^2}}},$$ intercepts real axix at $$\omega = {\omega _0}$$ Then, the real part and $${\omega _0}$$ are respectively given by