Chaosbeam_notes

# Chaosbeam_notes - Modern Physics Lab Chaos Observed with a...

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Modern Physics Lab: Chaos Observed with a Buckled Beam: Supplementary Notes Rex Tayloe Department of Physics, Indiana University 2/18/03 Last Revised: 10/27/03 Goals : Learn how to use strain gauges. Study chaos in a mechanical system. Tasks: - Setup the P-3500 strain gauge readout as explained in the manual. - Calibrate the position of the beam vs displacement. - Calibrate the differentiator (velocity measurement). - Without the magnets, measure the damping factor, γ, by exciting the beam and observing the decay. - Without the magnets, determine the resonance frequency, ϖ 0 , of the beam by measuring the amplitude of oscillations as a function of driving frequency. - Install the magnets with a spacing of a few cm. View the displacement and view on the XY display to observe normal and to find chaotic motion. - Drive the beam at different frequencies from ~5-30 Hz. At each frequency, observe the phase space plot and increase the amplitude to find the onset of chaotic motion. Measure the frequency and amplitude where chaotic motion begins.

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