Transcription of The Nonlinear Pendulum - pgccphy.net
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The Nonlinear Pendulum - pgccphy.net
The Nonlinear Simpson, of Physical Sciences and EngineeringPrince George s Community CollegeDecember 31, 20101 The Simple Plane PendulumAsimple plane pendulumconsists, ideally, of a point mass connected by a light rod of lengthLto a frictionlesspivot. The mass is displaced from its natural vertical position and released, after which it swings back and are two major questions we would like to answer:1. What is the angle of the Pendulum from the vertical at any timet?2. What is the period of the motion?For such a simple system, the simple plane Pendulum has a surprisingly complicated solution.
The Nonlinear Pendulum D.G. Simpson, Ph.D. Departmentof PhysicalSciencesandEngineering Prince George’s Community College December31,2010 1 The Simple Plane Pendulum
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