The equation of motion of a simple pendulum subject to viscous damping can be expressed as [ddot{theta}+c

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The equation of motion of a simple pendulum subject to viscous damping can be expressed as

\[\ddot{\theta}+c \dot{\theta}+\sin \theta=0\]

If the initial conditions are $\theta(0)=\theta_{0}$ and $\dot{\theta}(0)=0$, show that the origin in the phase-plane diagram represents (a) a stable focus for $c>0$ and (b) an unstable focus for $c<0$.

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Mechanical Vibrations

ISBN: 9780134361925

6th Edition

Authors: Singiresu S Rao

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Question Posted: May 04, 2024 06:47 AM

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The equation of motion of a simple pendulum subject to viscous damping can be expressed as [ddot{theta}+c

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Mechanical Vibrations

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