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Waves, Oscillations & Acoustics

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Damped Oscillations Waves, Oscillations & Acoustics m Oscillatory motion whose mechanical energy and amplitude decrease exponentially over time due to dissipative forces like friction or viscosity. x(t) = A exp(-b t / 2m) cos(ω_d t + φ) Decibel Scale Waves, Oscillations & Acoustics dB A logarithmic scale used to express sound intensity or sound pressure level relative to a reference threshold. β = 10 log10(I / I0), I0 = 10⁻¹² W/m² Doppler Effect Waves, Oscillations & Acoustics Hz The apparent shift in observed wave frequency caused by relative motion between the wave source and the observer. f_obs = f_src (v ± v_obs) / (v ∓ v_src)