Pendulum with Rotating Pivot

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This Demonstration shows a special case of the damped and driven double pendulum. The suspension point (pivot) of a pendulum of length and bob mass is attached to a crank of length rotating at a constant angular speed . The damping coefficient of the system is . To limit the number of parameters, we take and the starting position of the bob at . Then the equation of motion is . The animation traces the movement of the pendulum bob.

Contributed by: Erik Mahieu (March 2011)
Open content licensed under CC BY-NC-SA



Choose a set of parameters with the sliders or the "randomize parameters" button and start the animation. Or run the animation to the end and press the "randomize parameters" button to discover a variety of bob trajectories.

See: Equations of Motion of Damped and Driven Pendula

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