Oscillations
Explore motion that repeats. Watch masses on springs and swinging pendulums, then add damping and a driving force to see resonance.
Key concepts
Simple Harmonic Motion
A restoring force proportional to displacement produces sinusoidal motion
Period and Frequency
How long one cycle takes, and what sets it: mass, stiffness, length and gravity
Damping
Friction drains energy so the amplitude decays over time
Resonance
Driving a system near its natural frequency builds up large amplitudes
Simulations
Simple Harmonic Motion
BeginnerA mass on a spring with live position, velocity and energy graphs
Hooke's LawSpring ConstantPeriodEnergy
Open Simple Pendulum
BeginnerSwing a pendulum and compare the exact motion with the small-angle approximation
PeriodGravitySmall-Angle Approximation
Open Damping & Resonance
AdvancedAdd damping and a driving force, and trace the resonance curve
DampingDriving ForceResonanceQ Factor
Open