Oscillations (SHM) mein simple harmonic motion ke equations, pendulum aur spring systems aate hain — JEE/NEET dono ke liye crucial. Yahan aapko is chapter ke sabse important formulas aur quick revision points free milte hain — NCERT/CBSE syllabus ke hisaab se, boards aur JEE/NEET dono ke liye.
Important Formulas & Concepts — Oscillations
- SHM: a = −ω²x; F = −kx
- x = A·sin(ωt + φ); v = Aω·cos(ωt + φ)
- v = ω√(A² − x²); v_max = Aω; a_max = ω²A
- T = 2π√(m/k) (spring); T = 2π√(L/g) (pendulum)
- KE = ½mω²(A² − x²); Total E = ½mω²A²
- Springs series: 1/k = 1/k₁ + 1/k₂; parallel: k = k₁ + k₂
- Physical pendulum: T = 2π√(I/mgd)
- Damped: amplitude = A₀·e^(−bt/2m)
Quick Revision Points
- SHM mein acceleration displacement ke opposite hoti hai
- Mean position par KE max, extreme par PE max
- Pendulum ka T mass par depend nahi karta
- Lift mein g_eff badlega to T badlega
- Energy ∝ A² — amplitude double, energy chaar guna
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FAQ
SHM ke graphs important hain?
Bahut — x, v, a vs t aur energy graphs boards + JEE dono mein aate hain. PDF mein sab visual hain.
Spring combination problems tough lagte hain?
Complete notes mein series/parallel ke solved patterns hain — ek baar samajh lo, sab same hain.
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