Simulations

Oscillations

SHM Explorer

Explore simple harmonic motion through a spring-mass oscillator, circular projection, and sinusoidal displacement graph. Adjust amplitude, frequency and phase in real time.

Oscillations

Periodic Motion Parameters

Visualise how amplitude, frequency, and phase shift affect a spring-mass oscillator. Watch the live x(t) displacement graph update as you tune each parameter.

Oscillations

Reference Circle & SHM

See how the projection of uniform circular motion onto a diameter produces simple harmonic motion. Adjust amplitude, frequency and phase live.

Oscillations

Spring–Mass Oscillator

Adjust spring constant k and mass m and watch ω, f and T respond instantly. Includes a live displacement–time graph with period marker.

Energy

Energy in SHM

Watch PE and KE exchange in a swinging pendulum while total mechanical energy stays constant. Stacked bars and equation update in real time.

Oscillations

Simple Pendulum

Swing a pendulum and compare the exact period (elliptic integral) with the small-angle approximation. Includes velocity vector and period chart.

Non-inertial Frames

Pendulum in a Lift

Apply horizontal and vertical lift acceleration and watch effective gravity shift the equilibrium direction and change the oscillation period.