Chapter 26, Problem 13P

Consider the thin rod of length l moving in the x-y plane as shown in Fig. P26.13. The rod is fixed with a pin on one end and a mass at the other. Note that $g=9.81{\text{ m/s}}^2$ and $l=0.5\text{ m}$. This system can be solved using

$\stackrel{\mathrm{..}}{\theta }-\frac{g}{l}\theta =0$

FIGURE P26.13

Let $\theta =0$ and $\stackrel{.}{\theta }\left(0\right)=0.25\text{ rad/s}$. Solve using any method studied in this chapter. Plot the angle versus time and the angular velocity versus time. (Hint: Decompose the second-order ODE.)