Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Engineers · Root Locus

Root Locus for a CNC toolpath

Built for engineers using it for real design work. Go from concept to a running model in the browser, then scale to the cloud when needed. Simulate a CNC toolpath live below — adjust the inputs and watch it respond, right in your browser.

Root LocusLive

how poles move with gain

Controls

Presets

Second pole −p₂

Loop gain K

The root locus traces where a system's closed-loop poles travel as feedback gain increases. Poles in the left half-plane mean stability; as gain rises they migrate toward the imaginary axis, and crossing it triggers oscillation. Educational tool.

▶ Run in Python

Data Inspector

Closed-loop poles-2.00, real

Dampingoverdamped

Stabilitystable ✓

Governing equation

1 + \frac{K}{s ( s + p _{2} )} = 0 \Rightarrow s^{2} + 4 s + 3 = 0

Reading this result: Gain K=3 sits below the breakaway value, so both closed-loop poles stay real and negative near -2.00 — the response is overdamped with no oscillation.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

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Also for:Students Researchers Educators Hobbyists & Makers K-12 Students First Responders General version →

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Frequently asked questions

Is this good for engineers?: Yes — this version of "Root Locus for a CNC toolpath" is framed for engineers using it for real design work. Go from concept to a running model in the browser, then scale to the cloud when needed.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.