Linearisation of the pendulum about its two equilibria (Q1618): Difference between revisions
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| Property / instance of: mathematical expression / rank | |||
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| Property / LaTeX source: \\theta\\approx 0:\\ \\ \\frac{d^{2}\\theta}{dt^{2}}+\\frac{g}{L}\\theta=0;\\qquad \\phi=\\theta-\\pi\\approx 0:\\ \\ \\frac{d^{2}\\phi}{dt^{2}}-\\frac{g}{L}\\phi=0 / rank | |||
| Property / instance of | |||
| Property / instance of: mathematical expression / rank | |||
Normal rank | |||
| Property / LaTeX source | |||
\\theta\\approx 0:\\ \\ \\frac{d^{2}\\theta}{dt^{2}}+\\frac{g}{L}\\theta=0;\\qquad \\phi=\\theta-\\pi\\approx 0:\\ \\ \\frac{d^{2}\\phi}{dt^{2}}-\\frac{g}{L}\\phi=0 | |||
| Property / LaTeX source: \\theta\\approx 0:\\ \\ \\frac{d^{2}\\theta}{dt^{2}}+\\frac{g}{L}\\theta=0;\\qquad \\phi=\\theta-\\pi\\approx 0:\\ \\ \\frac{d^{2}\\phi}{dt^{2}}-\\frac{g}{L}\\phi=0 / rank | |||
Normal rank | |||
Latest revision as of 13:26, 3 September 2026
No description defined
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Linearisation of the pendulum about its two equilibria |
No description defined |
Statements
\\theta\\approx 0:\\ \\ \\frac{d^{2}\\theta}{dt^{2}}+\\frac{g}{L}\\theta=0;\\qquad \\phi=\\theta-\\pi\\approx 0:\\ \\ \\frac{d^{2}\\phi}{dt^{2}}-\\frac{g}{L}\\phi=0
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