The Shuddering Pendulum |
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| Authors: | Stuart S Antman |
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| Institution: | 1. Department of Mathematics, Institute for Physical Science and Technology, and Institute for Systems Research, University of Maryland, College Park, MD, 20742-4015, USA
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| Abstract: | This paper treats the rich mathematical structure of the (dimensionless) equation of motion governing the behavior of an elastically
restrained simple pendulum subject to a downward force of magnitude f(t) applied to its bob with $\dot{f}(t)>0$\dot{f}(t)>0 for all t>0 and f(t)→∞ as t→∞:
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(q)\ddot]+2n(q)\dot] +q = f(t)sinq.\ddot{\theta}+2\nu\dot{\theta} +\theta= f(t)\sin\theta. |
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