Coupled Oscillators
This interactive simulator explores Coupled Oscillators in Classical Mechanics. Two masses, three springs: normal modes ωₛ, ωₐ and beats. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.
Who it's for: Best once you already know the basic definitions and want to build intuition. Typical context: Classical Mechanics.
Key terms
- coupled
- oscillators
- coupled oscillators
- mechanics
- classical
Live graphs
How it works
Two equal masses sit between identical outer springs and share a middle coupling spring. Small displacements from equilibrium obey coupled linear equations with two normal-mode frequencies: a symmetric mode at ωₛ = √(k/m) and an antisymmetric mode at ωₐ = √((k+2K)/m). A general initial condition superposes both, producing beats in the individual mass motions.
Key equations
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