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Selected Problems of Circuit Theory Assignment No. 3 Analysis of Chosen Nonlinear System Pendulum: Due to Newton

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  • Mathematics


A pendulum is a weight suspended from a pivot so it can swing freely. When a pendulum is displaced from its resting equilibrium position, it is subject to a restoring force due to gravity that will accelerate it back toward the equilibrium position. When released, the restoring force will cause it to oscillate about the equilibrium position, swinging back and forth. The time for one complete cycle, a left swing and a right swing, is called the period. The simple gravity pendulum is an idealized mathematical model of a pendulum. This is a weight on the end of a massless cord suspended from a pivot, without friction. When given an initial push, it will swing back and forth at a constant amplitude. Real pendulums are subject to friction and air drag, so the amplitude of their swings declines. 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

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