Pendulum as a first-order system (Q1617): Difference between revisions

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\\frac{d\\theta}{dt}=v,\\qquad \\frac{dv}{dt}=-\\frac{g}{L}\\sin\\theta,\\qquad \\text{equilibria at }(\\theta,v)=(0,0)\\ \\text{and}\\ (\\pi,0)
 
Property / LaTeX source: \\frac{d\\theta}{dt}=v,\\qquad \\frac{dv}{dt}=-\\frac{g}{L}\\sin\\theta,\\qquad \\text{equilibria at }(\\theta,v)=(0,0)\\ \\text{and}\\ (\\pi,0) / rank
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\\frac{d\\theta}{dt}=v,\\qquad \\frac{dv}{dt}=-\\frac{g}{L}\\sin\\theta,\\qquad \\text{equilibria at }(\\theta,v)=(0,0)\\ \\text{and}\\ (\\pi,0)
Property / LaTeX source: \\frac{d\\theta}{dt}=v,\\qquad \\frac{dv}{dt}=-\\frac{g}{L}\\sin\\theta,\\qquad \\text{equilibria at }(\\theta,v)=(0,0)\\ \\text{and}\\ (\\pi,0) / rank
 
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Latest revision as of 13:26, 3 September 2026

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Pendulum as a first-order system
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    \\frac{d\\theta}{dt}=v,\\qquad \\frac{dv}{dt}=-\\frac{g}{L}\\sin\\theta,\\qquad \\text{equilibria at }(\\theta,v)=(0,0)\\ \\text{and}\\ (\\pi,0)
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