Chapter 5.P2, Problem 2P

In the following problem, we ask the reader to some of the details left out of the above discussion, to analyse the closed-loop system for the stability properties, and to conduct a numerical simulation of the nonlinear system.

Give physical explanations for the meaning for Eqs. (3) and (4)

$g=L{\Omega }_0^2\cos {\theta }_0$ (3)

${\tau }_0=\beta {\Omega }_0.$ (4)