Visualizations
Interactive mathematical, physics, and chemistry visualizations
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Physics Visualizations 103
Damped Harmonic Oscillator - Interactive Simulation
Interactive simulation of spring-mass-damper system with real-time visualization of motion, displacement curve, and phase trajectory
⚛️ PhysicsDouble Pendulum - Chaos Theory
Explore chaotic motion in classical mechanics through interactive double pendulum simulation
⚛️ PhysicsCommunicating Vessels - Interactive Simulation
Interactive simulation of communicating vessels principle with pressure balance and liquid levels
⚛️ PhysicsAtmospheric Pressure vs Altitude
Interactive visualization of atmospheric pressure variation with altitude using exponential decay model
⚛️ PhysicsSliding Friction - Interactive Simulation
Interactive simulation of sliding friction with static and kinetic friction analysis
⚛️ PhysicsLongitudinal vs Transverse Waves - Interactive Comparison
Interactive comparison of longitudinal and transverse waves with particle motion visualization
⚛️ PhysicsSimple Machine Efficiency - 简单机械效率
Interactive simulation of simple machine efficiency comparing three fundamental machines: pulley systems, inclined planes, and levers. Features efficiency calculation η = (W_ideal / W_actual) × 100% = (F_ideal / F_actual) × 100%, where W_ideal = F_ideal·d (theoretical work without friction) and W_actual = F_actual·d (real work including energy losses). Physics formulas for each machine: Pulley system with mechanical advantage MA = 2n (n = number of pulleys), ideal force F_ideal = mg/(2n), actual force F_actual = F_ideal + μ·mg/n accounting for pulley friction. Inclined plane: ideal force F_ideal = mg·sin(θ), actual force F_actual = mg·sin(θ) + μ·mg·cos(θ) including friction, work ratio W_useful/W_total = sin(θ)/(sin(θ) + μ·cos(θ)). Lever: ideal mechanical advantage MA = L_effort/L_resistance, ideal force F_ideal = F_resistance/MA, actual force includes friction losses F_actual = F_ideal + μ·F_resistance. Three machine types with switchable interface, each with specific parameters (pulley count, load mass, friction; incline angle, length, mass; lever arm lengths, resistance force). Real-time force comparison bar chart showing ideal vs actual force. Work analysis diagram displaying energy flow from input to output with efficiency percentage. Energy flow chart breaking down total work into useful work (green) and friction losses (red). Machine efficiency comparison panel showing η values for all three types simultaneously. Dynamic parameter adjustment with instant efficiency recalculation. Educational content covering ideal vs real machines, friction effects, mechanical advantage concepts, energy conservation, practical applications in engineering and daily life. Multi-language support (zh, en, es, fr, de, ru, pt).
⚛️ PhysicsConical Pendulum - Interactive Simulation
Interactive simulation of conical pendulum motion with 3D visualization, force decomposition, and circular motion analysis
⚛️ PhysicsSimple Pendulum Motion - Interactive Simulation
Interactive simulation of simple pendulum motion with real-time visualization of angle, angular velocity, and energy conservation
⚛️ PhysicsSemiconductor PN Junction
Interactive visualization of PN junction physics, energy bands, and I-V characteristics
⚛️ PhysicsCrystal Structures
Interactive 3D crystal structure visualization - Explore cubic crystal systems (simple cubic, body-centered cubic, face-centered cubic), Bragg equation, Miller indices, d-spacing, atomic density, and X-ray diffraction patterns
⚛️ PhysicsOsmotic Pressure Simulation
Interactive demonstration of osmotic pressure, van't Hoff equation, solvent flow, and reverse osmosis
⚛️ Physics