What is the Spring-Mass Systems multi-solver?

Spring-Mass Systems is a guided workflow that chains 2 individual PolySim solvers into one end-to-end analysis, piping each result into the next step.

Yes. Every step runs entirely in your browser using real numerics — no install, no account, no cloud cost. Custom or private solver packs are available as a paid service.

Physics & Quantum Pack · Multi-Solver

Spring-Mass Systems

Modes & resonance. This multi-solver chains 2 solvers into a single guided workflow — run each step in order and carry the result forward.

Workflow steps

cloth
→standing-waves

or unlock everything with Pro →

Cloth

open full solver →

Cloth / Spring-Mass StudioLive

Verlet integration · constraint relaxation

Controls

Speed1×

A grid of masses linked by springs, pinned at the top. Grab any node and drag it around — it's a real Verlet cloth simulation.

Presets

Gravity

Wind

▶ Run in Python

Data Inspector

Nodes28×20

IntegratorVerlet

Constraintsdistance (×3/frame)

Governing equation

x^{'} = 2 x - x_{p r e v} + a Δ t^{2}, ∣ p_{i} - p_{j} ∣ = 16

Reading this result: No wind, so the cloth hangs straight down from its pinned top row and settles into a smooth catenary once the motion damps out.

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

↓

Standing Waves

open full solver →

Standing Waves on a StringLive

harmonics · nodes & antinodes

Controls

Speed1×

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

Harmonic n

Fundamental (Hz)

Amplitude (cm)

▶ Run in Python

Data Inspector

Harmonicn = 3

Frequency330 Hz

Nodes4

Antinodes3

Wavelength2L/3

Governing equation

y = 2 A sin (k x) cos (ω t), f_{3} = \frac{3 v}{2 L} = 330 Hz

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.

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

Need a private, branded version?

We build custom solvers and workflows for labs, firms, agencies, and courses — your parameters, your branding, your data.

Explore Custom Solver Sets →

More in the Physics & Quantum pack

Orbital Mechanics Lab Projectile Range Kit Pendulum Lab Collision Analyzer Rotational Dynamics Rocket Flight Fluid Statics Kit Wave Lab

Frequently asked questions

What is the Spring-Mass Systems multi-solver?: Spring-Mass Systems is a guided workflow that chains 2 individual PolySim solvers into one end-to-end analysis, piping each result into the next step.
Is it free to use?: Yes. Every step runs entirely in your browser using real numerics — no install, no account, no cloud cost. Custom or private solver packs are available as a paid service.