Coupled Oscillators

Two spring-mass oscillators are coupled by a massless spring. You can vary the mass , the extension of the spring, and the initial displacement separately for both oscillators, and three different coupling factors can be chosen. You can display the graphs of the time functions of the displacement and the total energy of the oscillators.

SNAPSHOTS

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DETAILS

Screenshot 1: the out-of-phase normal mode; no energy is exchanged
Screenshot 2: the exchange of energy is only complete if the oscillators have the same eigenfrequencies; in this case, the phase difference of the displacements is ; the ripple is produced by the energy of the coupling spring
Screenshot 3: this view simulates a typical experiment
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Related Curriculum Standards

US Common Core State Standards, Mathematics