Write a computer program for finding the period of vibration corresponding to Eq. (13.14). Use a suitable numerical integration procedure. Using this program, find the solution of Problem 13.45.

Data From Problem 13.45:-

Find the time variation of the angular displacement of a simple pendulum (i.e., the solution of Eq. (13.5)) for \(g / l=0.5\), using the initial conditions \(\theta_{0}=45^{\circ}\) and \(\dot{\theta}_{0}=0\). Use the RungeKutta method given in Program18.m.

Equation 13.5:-

+ (0-10) = 0 (13.5)