Simple Harmonic Motion Simulator
Interactively explore the phase differences between displacement, velocity, and acceleration, and reveal the laws of energy conversion.
About this simulation
- What
- An interactive Physics simulation of Simple Harmonic Motion Simulator.
- Who
- Designed for AP, IB, and A‑Level Physics students.
- How
- Runs in any modern browser — drag, adjust, and explore in real time.
Updated 2026-04-10
Key Concepts
Restoring Force
A force proportional to the displacement from equilibrium and directed towards it (F = -kx).
Harmonic Oscillation
Vibration where displacement follows a sine or cosine wave over time.
Phase Difference
Velocity leads displacement by a phase of π/2, and acceleration differs from displacement by a phase of π (opposite directions).
Deep Dive into Simple Harmonic Motion
Simple harmonic motion (SHM) is the fundamental physics model for understanding periodic changes in nature, forming the mathematical basis for springs, pendulums, and molecular bonds.
In this interactive simulator, every cycle of the spring-mass system maps perfectly to the kinematic waveforms. Real-time adjustments let you observe the differences between displacement, velocity, and acceleration.
It is also a perfect model for energy transformation. In an ideal frictionless scenario, the seamless exchange between kinetic and elastic potential energy reveals deep symmetries in physics mechanics.
