Coupled Harmonic Oscillator

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

k₁ m₁ k₂ m₂ k₃

Analytic Solution

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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

Values at Specified Time

Enter a time value above, then click Compute.