© Philip Joyce 2020
P. JoycePractical Numerical C Programminghttps://doi.org/10.1007/978-1-4842-6128-6_9

9. Pendulum Simulation

Philip Joyce1 
Goostrey, UK

9.1 Pendulum Theory

Figure 9-1


The preceding diagram shows a pendulum of length l suspended from a point A. The pendulum has a mass m attached to it and it is held at an angle 𝞱 to the vertical.

We want to find out how this angle and the angular velocity of the pendulum vary with time. If you imagine a pendulum as in Figure 9-1, then when it is released the mass moves toward the left as shown. The angle, 𝞱, gets smaller as the mass moves to its lowest point. When it reaches its lowest point, ...

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