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Cubic Bezier & Spring Physics Motion Studio

Simulate damped harmonic oscillator spring physics, manipulate cubic-bezier control points, preview 60fps transitions, and export CSS linear() and Framer Motion easing curves.

Quick Answer & Summary

The Cubic Bezier & Spring Physics Motion Studio is a fast, accurate Developer Tools utility designed to simulate damped harmonic oscillator spring physics, manipulate cubic-bezier control points, preview 60fps transitions, and export css linear() and framer motion easing curves. entirely in your browser with zero server data storage.

Cubic Bezier & Spring Physics Motion Studio

Simulate damped harmonic oscillator spring physics, manipulate cubic-bezier control points, preview 60fps transitions, and export CSS linear() or Framer Motion transitions.

Presets:

Mathematical Motion Curve

Settling Time: 1.351s

60fps Live Animation Preview

X
Scale Pop
transition: transform 1.351s linear(0.000, 0.089, 0.299, 0.556, 0.801, 0.997, 1.128, 1.195, 1.207, 1.180, 1.133, 1.079, 1.030, 0.992, 0.969, 0.958, 0.958, 0.965, 0.975, 0.986, 0.996, 1.003, 1.007, 1.009, 1.009, 1.007, 1.005, 1.002, 1.000, 0.999, 0.998, 0.998, 0.998, 0.999, 0.999, 1.000, 1.000, 1.000, 1.000, 1.000, 1.000);

CSS Easing Functions Level 1 & Damped Harmonic Motion

Natural, tactile user interfaces require motion curves that mimic the laws of classical mechanics. Rather than rigid linear or artificial ease-in-out transitions, physics-based springs provide momentum, weight, and organic deceleration.

Mathematical Formulation of Damped Oscillation

The equation of motion for a damped spring oscillator is governed by the second-order linear differential equation:

m · x''(t) + c · x'(t) + k · x(t) = 0

Where m is mass, c is the damping coefficient, and k is the spring constant stiffness.

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Documentation & Guide

How to Use Cubic Bezier & Spring Physics Motion Studio

1

Select Motion Paradigm

Switch between Spring Physics (harmonic oscillator) and Cubic Bezier (4-point control curve).

2

Adjust Physics Parameters

For springs, tune Mass, Stiffness, Damping, and Initial Velocity. For beziers, drag control points P1 and P2.

3

Inspect Live 60fps Animations

Click "Replay Transition" to preview simultaneous position translation, scale-pop, and opacity transitions.

4

Copy Code Snippets

Export CSS linear() keyframes, CSS cubic-bezier(), or Framer Motion spring config with 1-click copy.

Practical Examples & Conversions

Input
mass: 1 | stiffness: 180 | damping: 12 | velocity: 0
Output
CSS: linear(...) · Framer: { type: "spring", stiffness: 180, damping: 12 }

Frequently Asked Questions (PAA)

Related Tools & Converters

Authoritative Standards & Citations

Calculations and algorithms on this page are implemented and verified in strict accordance with the following official technical specifications: