WOLFRAM|DEMONSTRATIONS PROJECT

Pendulum Towing a Rolling Disk

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Pendulum
Disk
rod length ratio
radius
animation
1.2
0.15
initial angular position
density
display
animation
phase curve
1.35
1.
This Demonstration simulates the motion of a double pendulum with a rolling disk attached to the end of its lower rod. The disk is free to roll without friction over a horizontal plane.
Lagrangian mechanics are used to determine the equations of motion. You can change the geometrical parameters using the sliders.
A phase curve gives an overview of the state of the system. A horizontal energy gauge shows the total energy of the system, which remains constant while the potential and kinetic energies change in opposite directions.