Coupled Harmonic Oscillator

Analytic solution & interactive visualization of a two-mass spring system

k₁ m₁ k₂ m₂ k₃

Analytic Solution

Computing…

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– – undamped, 3-spring model
x₁(t) =–
x₂(t) =–
v₁(t) =–
v₂(t) =–
a₁(t) =–
a₂(t) =–

Plots

k₁ m₁ k₂ m₂ k₃

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Find First Time to Target

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Values at Specified Time

Enter a time value above, then click Compute.