Double pendulum: Difference between revisions
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We observed the motion of the pendulum at various initial positions, and noted whether it flips or not. If it did, the time it took was measured. | We observed the motion of the pendulum at various initial positions, and noted whether it flips or not. If it did, the time it took was measured. | ||
[[File:DP2010.jpg | center | | [[File:DP2010.jpg | center | 100px]] | ||
This was done by recording the motion of the pendulum with a high speed camera, and using a program that tracked the motion of the lower bar of the pendulum. | This was done by recording the motion of the pendulum with a high speed camera, and using a program that tracked the motion of the lower bar of the pendulum. | ||
Revision as of 21:33, 28 November 2011
Double pendulum
The double pendulum is a pendulum with another attached at an end. It is a classic example of systems that produce nonlinear dynamics and chaos.
For our experiment, we used a double pendulum consisting of a rod supported by two others. The pendulum was connected to supports that could sinusoidally oscillate in the vertical direction at relatively low frequencies. Simulation was done via MATLAB
We observed the motion of the pendulum at various initial positions, and noted whether it flips or not. If it did, the time it took was measured.
This was done by recording the motion of the pendulum with a high speed camera, and using a program that tracked the motion of the lower bar of the pendulum.
(see video below). The same method was used for the forced case.
3.2 Simulation
Using MATLAB, we simulated the motion of the pendulum at various initial conditions. The theory we mainly referenced can be found here