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nonlin-pendulum.pdf
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🔗 Source: pgccphy.net
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👤 Author: David
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Summary

A simple plane pendulum consists of a point mass connected by a light rod of length L to a frictionless pivot, and its motion can be described by the differential equation d^2θ/dt^2 = -(g/L) sin(θ), where θ is the angle from the vertical. For small angles, the pendulum's motion can be approximated as simple harmonic motion, with a period T0 = 2π sqrt(L/g). However, for larger angles, the exact solution involves Jacobian elliptic functions, and the period T can be expressed as an infinite series. The true period T is always longer than the small-angle period T0, and the ratio of T to T0 increases with amplitude.

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A simple plane pendulum consists of a point mass connected by a light rod of length L to a frictionless pivot, and its motion can be described by the...

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  • Pages: 5
  • Language: EN
  • Author: David
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  • Last Updated: 1 month ago

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