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Simple harmonic motion (SHM) describes oscillatory motion where acceleration is proportional to displacement and opposite in direction. Springs and pendulums exhibit SHM.
Formel
x(t) = A × cos(ωt + φ); v = -Aω × sin(ωt + φ); a = -Aω² × cos(ωt + φ)
Trinn-for-trinn guide
- 1Enter amplitude A, angular frequency ω, initial phase φ
- 2Calculate position, velocity, and acceleration at time t
- 3Analyze period T = 2π/ω
Løste eksempler
Inndata
A = 0.5 m, ω = 2 rad/s, t = 0.5 s
Resultat
x ≈ 0.24 m, v ≈ -0.87 m/s
Oscillation position and velocity
Vanlige feil å unngå
- ✕Confusing angular and regular frequency
- ✕Incorrect phase initial conditions
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