Damped Pendulum Simulator

Phase Space (ω vs θ)

Angular Displacement vs Time

Inputs can accept expressions like pi/4, 2*pi, etc.

About This Simulation

This interactive simulator models a damped simple pendulum governed by the nonlinear second-order differential equation:

with initial conditions θ(0) = θ₀ and θ'(0) = ω₀.

Use the End Time (T) control to set simulation duration and time axis scaling.

Numerical methods: RK4 by default; switches to backward Euler for stiff overdamped cases.