Chapter 5.3, Problem 30E

To determine

(a)

To describe:

The motion of the pendulum when

$\begin{array}{rll}l(0)& =& 5.5\\ l^{\prime }(0)& =& 0\\ \theta (0)& =& 0\\ {\theta }^{\prime }(0)& =& 0\end{array}$

To determine

(b)

To approximate:

The solution to the given initial value problem with $h=0.1$ and sketch the graphs of the length $l$ and the angular displacement $\theta$ on the interval $\left[0,10\right]$ if

$\begin{array}{rll}l(0)& =& 5.5\\ l^{\prime }(0)& =& 0\\ \theta (0)& =& 0.5\\ {\theta }^{\prime }(0)& =& 0\end{array}$.