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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online.The mathematics of pendulums are in general quite complicated. Simplifying assumptions can be made, which in the case of a simple pendulum allows the equations of motion to be solved analytically for small-angle oscillations. Simple gravity pendulum Trigonometry of a simple gravity pendulum. A simple pendulum is an idealisation, working on the assumption that: The rod or cord on which the bob swings is massless, inextensible and always remains taut; Motion occurs in a 2-dimensional plane, i.e. the bob does not trace an ellipse. The motion does not lose energy to friction.