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
Snapshots
Details
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.
Permanent Citation
"Pendulum with Rotating Pivot"
http://demonstrations.wolfram.com/PendulumWithRotatingPivot/
Wolfram Demonstrations Project
Published: March 7 2011