Spring-Mass Interactive Simulation

This project is an interactive spring-mass simulation built with Python and matplotlib. You can dynamically adjust spring stiffness, mass, damping, and maximum stretch using sliders, and watch the mass respond in real time!

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Features

• Interactive sliders for adjusting:

  • Spring stiffness (k) in N/m
  • Mass (m) in kg
  • Damping coefficient (b) in kg/s
  • Maximum spring extension (xmax) in meters

• Real-time animation of spring and mass

• Visual indication of spring breaking (changes color to red)

• Smooth simulation with gravity and optional damping

• Reset on parameter change

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Installation

1. Clone the repository:

git clone https://github.com/IbrokhimN/Spring-Mass-System-Simulation.git
cd Spring-Mass-System-Simulation

2. Install required packages:

pip install numpy matplotlib scipy

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Usage

Run the simulation:

python physic_project.py

• Adjust the sliders to change parameters on the fly.
• Watch the mass oscillate or fall if the spring breaks.

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How It Works

• The system simulates a spring-mass-damper under gravity:

$$ m \ddot{x} + b \dot{x} + k x = m g $$

• solve_ivp from scipy computes the motion.

• Animation updates spring shape and mass position in real time.

• The spring breaks if:

  • |x| > xmax or
  • k * |x| > k_max * xmax

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Future Improvements

• Add reset button to instantly reset the simulation.
• Enable multiple masses on one spring.
• Export animation as GIF or video.
• Add energy graphs (kinetic, potential).

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Screenshots

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License

This project is licensed under the MIT License – see the LICENSE file for details.