Double Pendulum Simulator
The Double Pendulum Simulator is an advanced physics tool designed to model and visualize **chaotic motion** in a double pendulum system. It demonstrates how small changes in initial conditions lead to unpredictable yet fascinating motion — a key concept in **chaos theory** and **nonlinear dynamics**. Perfect for students, researchers, and educators exploring complex oscillatory systems.
How to Use This Tool
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Set Parameters: Enter the pendulum’s length, bob mass, and damping level using sliders or input boxes.
Select Gravity: Choose between Earth, Moon, or Jupiter—or set a custom gravity value—to simulate different environments.
Start Simulation: Press Start to begin. The pendulum will swing while the real-time motion graph displays changes in angle, speed, and energy.
Observe Results: Watch how the time period and frequency change based on gravity and length. Analyze energy conversion between potential and kinetic states.
Pause or Reset: Stop or reset the simulation anytime to adjust settings or test new values.
Compare Experiments: Try multiple combinations of parameters to understand how each affects pendulum motion.
Learn & Apply: Use the results to reinforce your understanding of simple harmonic motion, gravitational effects, and energy conservation in physics.
Use Cases
- Visualize chaotic motion of a double pendulum system.
- Study energy transfer between pendulum arms.
- Demonstrate chaos theory concepts in classrooms.
- Compare simple vs. double pendulum behavior.
- Experiment with physical parameters like mass and length.
Key Features
Real-Time Simulation
Watch the chaotic motion of a double pendulum in real-time.
Adjustable Parameters
Modify lengths, masses, and angles to explore system dynamics.
Energy Visualization
Displays kinetic and potential energy graphs throughout motion.
Chaos Demonstration
Perfect for demonstrating sensitive dependence on initial conditions.
Educational Tool
Used by students and teachers for physics labs and presentations.
Browser-Based
Runs entirely in your browser — no installation needed.
Frequently Asked Questions
A double pendulum consists of two pendulums attached end to end, showing highly complex and chaotic motion due to nonlinear dynamics.
Because small variations in initial angles or velocities lead to vastly different outcomes, making it a classic example of chaos theory.
Yes — you can modify L₁, L₂, m₁, and m₂ to see how different physical parameters affect motion.
Yes — it displays kinetic, potential, and total energy over time to help understand energy transfer within the system.
Yes — it’s completely free, runs in your browser, and requires no downloads or registration.
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👨💻 About the Developer
Muhammad Abid Rahimi
Professional full-stack developer with expertise in creating high-performance web applications and tools. Specializing in PHP, MySQL, JavaScript, and modern web technologies. Passionate about building user-friendly interfaces and scalable backend systems that deliver exceptional user experiences.