🔄 Mouvement Harmonique Simple
Analysez les oscillations de pendule et de ressort avec des simulations interactives et des diagrammes de phase
Type de Mouvement
Pendule Paramètres
Set to 0 for no damping (ideal oscillation)
Pendule Simulation
1x
Progress: 0.0%
Pendulum Motion Results
Dimensions | Formules | Calculs |
---|---|---|
Period | T = 2π√(L/g) | 0 |
Frequency | f = 1/T | 0 |
Angular Frequency | ω = 2πf | 0 |
Max Angular Velocity | ωₘₐₓ = ω₀θ₀ | 0 |
Max Acceleration | aₘₐₓ = ω²θ₀ | 0 |
Total Energy | E = ½mLω²θ₀² | 0 |
Summary: 6 calculations completed for harmonic-motion
📚 Understanding Harmonic Motion
Pendulum Motion:
- Restoring Force: Gravity component along arc
- Period Independence: Independent of mass and amplitude (small angles)
- Energy Exchange: Kinetic ↔ Potential energy
- Applications: Clocks, seismometers, metronomes
Spring Motion:
- Hooke's Law: F = -kx (restoring force)
- Mass Effect: Period increases with mass
- Stiffness Effect: Period decreases with spring constant
- Applications: Car suspension, watches, vibration isolation
Physique
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