The equation of motion of a simple pendulum of length (ell) is [ddot{theta}+frac{g}{ell} sin theta=0] (a) Determine

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The equation of motion of a simple pendulum of length $\ell$ is

\[\ddot{\theta}+\frac{g}{\ell} \sin \theta=0\]

(a) Determine the pendulum's equilibrium points.

(b) Classify the equilibrium points and determine their stability.

(c) Sketch a trajectory in the phase plane corresponding to each equilibrium point.

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Mechanical Vibrations Theory And Applications

ISBN: 120532

1st Edition

Authors: S. GRAHAM KELLY

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Question Posted: Apr 28, 2024 05:02 AM

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The equation of motion of a simple pendulum of length (ell) is [ddot{theta}+frac{g}{ell} sin theta=0] (a) Determine

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Mechanical Vibrations Theory And Applications

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