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Nonlinearized Motion of a Simple Pendulum

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The motion of a simple pendulum is governed by the nonlinear equation , where is the acceleration due to gravity and is the length of the pendulum. This is the equation that this Demonstration models. In contrast, for small , , which gives the linear equation .

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This approximate solution can be made visible, so it may be compared to the exact solution and the conditions under which the approximation is valid can be studied.

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Contributed by: Sarah Lichtblau (January 2009)
Inspired by: Rob Morris
Changes by: Hans-Joachim Domke
Open content licensed under CC BY-NC-SA

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