Simple Harmonic Motion ची गणना कशी करावी
Simple Harmonic Motion म्हणजे काय?
Simple harmonic motion (SHM) describes oscillatory motion where acceleration is proportional to displacement and opposite in direction. Springs and pendulums exhibit SHM.
सूत्र
x(t) = A × cos(ωt + φ); v = -Aω × sin(ωt + φ); a = -Aω² × cos(ωt + φ)
चरण-दर-चरण मार्गदर्शक
- 1Enter amplitude A, angular frequency ω, initial phase φ
- 2Calculate position, velocity, and acceleration at time t
- 3Analyze period T = 2π/ω
Worked Examples
इनपुट
A = 0.5 m, ω = 2 rad/s, t = 0.5 s
परिणाम
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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