Chapter 18.3, Problem 18.138P

(a)

To determine

To derive the third differential equations of motion of the top.

(b)

To determine

To show that the rate of nutation $\dot{\theta }$ is defined by the differential equation ${\dot{\theta }}^2=f\left(\theta \right)$.

(c)

To determine

To show that the maximum and minimum values of $\theta$ can be obtained by the cubic equation x.