Kā aprēķināt Simple Harmonic Motion
Kas ir 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)
Soli pa solim ceļvedis
- 1Enter amplitude A, angular frequency ω, initial phase φ
- 2Calculate position, velocity, and acceleration at time t
- 3Analyze period T = 2π/ω
Worked Examples
Ievade
A = 0.5 m, ω = 2 rad/s, t = 0.5 s
Rezultāts
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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