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Day 12 ­ 2/1/2016 Topics for Midterm ­ fluids of all kinds, not differential equations ­ harmonic oscillator, up to damping ­ simple harmonic motion ­ some problems with damping and resonance after exam ­ Read 15.1, 15.2, 15.4 Waves y(x, t) = Asin(kx ­ wt) displacement amplitude of displacement t = 0 y(x, t) = Asin(kx) x = 0 y(x=0, t) = Asin(­wt) = ­Asin(wt) y(x, t=0) = y(x + λ, t=0) Asin(kx) = Asin[k(x+λ)] kλ = 2π 2π The wave number k = γ Asin(wt) = Asin[w(t+T)] wT = 2π → w = 2π = rad angular frequency T s frequency f → f = T1 Ex. v​w​= 0.5 cm/s A = 1cm T = 8s λ = 4cm k = π rad ω