Jinsi ya kukokotoa Simple Harmonic Motion
Simple Harmonic Motion ni nini?
Simple harmonic motion (SHM) describes oscillatory motion where acceleration is proportional to displacement and opposite in direction. Springs and pendulums exhibit SHM.
Fomula
x(t) = A × cos(ωt + φ); v = -Aω × sin(ωt + φ); a = -Aω² × cos(ωt + φ)
Mwongozo wa Hatua kwa Hatua
- 1Enter amplitude A, angular frequency ω, initial phase φ
- 2Calculate position, velocity, and acceleration at time t
- 3Analyze period T = 2π/ω
Mifano Iliyotatuliwa
Ingizo
A = 0.5 m, ω = 2 rad/s, t = 0.5 s
Matokeo
x ≈ 0.24 m, v ≈ -0.87 m/s
Oscillation position and velocity
Makosa ya Kawaida ya Kuepuka
- ✕Confusing angular and regular frequency
- ✕Incorrect phase initial conditions
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