PPolySim OS
For Researchers · Standing Waves

Standing Waves for a pendulum clock

Built for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model. Simulate a pendulum clock live below — adjust the inputs and watch it respond, right in your browser.

Standing Waves on a StringLive

Controls

A string fixed at both ends can only vibrate at its harmonics. Each mode n has n+1 nodes (pink) that stay still while the antinodes swing — the physics of every stringed instrument.

Presets

▶ Run in Python

Data Inspector

Harmonicn = 3
Frequency330 Hz
Nodes4
Antinodes3
Wavelength2L/3

Governing equation

Reading this result: 3 half-wavelengths fit the string, so there are 3 antinodes (max swing) and 4 nodes (fixed points). At harmonic n = 3 the string sings at 330 Hz — exactly 3× the 110 Hz fundamental, and the wavelength is 2L/3.

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Frequently asked questions

Is this good for researchers?
Yes — this version of "Standing Waves for a pendulum clock" is framed for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model.
Do I need to install anything?
No. It runs in any modern browser, free, with no account required.