Kako izračunati Simple Harmonic Motion
Što je Simple Harmonic Motion?
Simple harmonic motion (SHM) describes oscillatory motion where acceleration is proportional to displacement and opposite in direction. Springs and pendulums exhibit SHM.
Formula
x(t) = A × cos(ωt + φ); v = -Aω × sin(ωt + φ); a = -Aω² × cos(ωt + φ)
Vodič korak po korak
- 1Enter amplitude A, angular frequency ω, initial phase φ
- 2Calculate position, velocity, and acceleration at time t
- 3Analyze period T = 2π/ω
Worked Examples
Unos
A = 0.5 m, ω = 2 rad/s, t = 0.5 s
Rezultat
x ≈ 0.24 m, v ≈ -0.87 m/s
Oscillation position and velocity
Common Mistakes to Avoid
- ✕Confusing angular and regular frequency
- ✕Incorrect phase initial conditions
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