Óptica geométrica y ondas · AP Physics 1 Unit 6 (Simple Harmonic Motion)
Simulador de movimiento armónico simple y ondas
Simulador de movimiento armónico simple y propagación de ondas mecánicas transversales
- Cálculo en cliente
- Sin registro
- Derivación en vivo
- Modo proyector
- Hoja de trabajo A4
Ventana de simulación 3D● 60 FPS
Variables de control del experimento
Hz
cm
m/s
Derivaciones y métricas en tiempo real
Longitud de onda λ
--
Periodo de oscilación T
--
Velocidad máxima de la partícula
--
Función de onda y(x,t)
--
Derivación de fórmulas en tiempo real
Fórmula básica:
--Sustitución de valores:
--Estado físico: --
Ejemplos clásicos y análisis de errores en exámenes
Worked Problem
Problema: Transverse wave travels right at 10m/s with f=5Hz. Find: 1) wavelength and period; 2) particle state after 0.25s starting upward from equilibrium.
Derivación paso a paso:
- 1) T = 0.2s, λ = 2m. 2) 0.25s = 1.25T. Starting upward, at 1.25T the particle reaches the crest (v=0, accel negative max).
Worked Problem
Problema: Will a leaf floating on water be carried toward shore by incoming water ripples?
Derivación paso a paso:
- No! The leaf oscillates up and down in place. Waves transfer momentum and energy, not bulk mass.
Hoja de indagación en clase y tareas
Q1. Variant 1: When an SHM oscillator passes equilibrium, what are its displacement, speed, acceleration, and restoring force?
Answer Key: Displacement x=0; restoring force F=0; acceleration a=0; speed reaches absolute maximum (kinetic energy maximum).
Q2. Variant 2: When at maximum displacement (amplitude A), describe displacement, velocity, and acceleration.
Answer Key: Displacement is max (A); restoring force is max toward center; acceleration is max; speed is instantaneously zero.
Q3. Variant 3: When sound enters water from air, which property stays strictly constant? Which change?
Answer Key: Frequency f stays strictly constant (governed solely by the source). Sound speed v increases, so wavelength λ elongates proportionally.
Preguntas frecuentes y errores conceptuales
How do vibration graphs (y-t) and wave graphs (y-x) differ?
y-t graph charts the motion history of a single particle over time. y-x graph is an instantaneous snapshot of all spatial particles at one moment.
What is the distinction between transverse and longitudinal waves? Is sound transverse or longitudinal?
Transverse: oscillation perpendicular to propagation (light, string waves). Longitudinal: oscillation parallel to propagation (air acoustic waves).
Why don't particles travel along with the propagating wave?
Particles are tethered by intermolecular elastic restoring forces, compelling them to oscillate around fixed equilibria without gross translation.
What is the superposition principle? Do colliding waves shatter each other?
No! Waves pass through each other independently. In the overlap region, displacements superpose, then separate intact.