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Lecture
Mathematical Pendulum
Description
This lecture covers the mathematical pendulum, discussing its equation of motion, small oscillations around equilibrium, and general oscillation period. The tension in the pendulum's string increases during oscillation, and the motion is independent of the mass. The period of oscillation is determined by an elliptic integral, with the exact period involving Legendre polynomials. The approximation for the period is valid for initial angles less than 20 degrees.
Official source
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