Pendulum Visualization Canvas

1.0 m
0.5 m 3.0 m
30°
0° 60°
9.8 m/s²
1 m/s² 20 m/s²
Show Force Vectors
Show Motion Trail
Show Information

Understanding Pendulum Physics

This 2D pendulum demonstrates harmonic motion with force vector visualization. The gravitational force (Fg = mg) is decomposed into two components:

  • Tangential component (Fg sinθ): Creates the restoring force that drives the pendulum's oscillation
  • Radial component (Fg cosθ): Balanced by the string's tension force

The restoring torque follows the equation: τ = -L(Fg sinθ), where L is the length, Fg is gravitational force, and θ is the angular displacement from equilibrium.

Gravitational Force (Fg)
Tangential (Fg sinθ)
Radial (Fg cosθ)
Tension (T)

Educational Features of this 2D Pendulum

This interactive 2D pendulum simulation provides a comprehensive learning experience for understanding harmonic motion and force decomposition. Students can explore how changing parameters affects pendulum behavior in real-time.

Key Learning Objectives

  • Visualize how gravitational force decomposes into tangential and radial components
  • Understand the relationship between pendulum length, period, and frequency
  • Observe energy conservation during oscillation
  • Analyze the effect of gravity on pendulum motion

How to Use This Simulation

Adjust the pendulum length to see how it affects the period of oscillation. Change the initial angle to observe larger amplitude swings. Modify gravity to simulate motion on different planets. Enable force vectors to see the physics in action.

Real-World Applications

Pendulum physics applies to clocks, seismometers, amusement park rides, and architectural structures. Understanding these principles helps engineers design stable systems and predict oscillatory behavior in various applications.