Jak vypočítat Simple Harmonic Motion

Co 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.

Vzorec

x(t) = A × cos(ωt + φ); v = -Aω × sin(ωt + φ); a = -Aω² × cos(ωt + φ)

Průvodce krok za krokem

1Enter amplitude A, angular frequency ω, initial phase φ
2Calculate position, velocity, and acceleration at time t
3Analyze period T = 2π/ω

Worked Examples

Vstup

A = 0.5 m, ω = 2 rad/s, t = 0.5 s

Výsledek

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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