Physics 2214 Formula Sheet for Prelim 1 (2)

Physics 2214 Formula Sheet for Prelim 1 (2) - Physics 2214...

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Unformatted text preview: Physics 2214 Formula Sheet for Prelim 1 Damped and driven oscillations ɶ A= F = –k(x – xeq) k ω0 = m dx FDamping = –b dt B B B A= x (t ) = A0 e B F0 / m (ω − ωD ) + (2ωD / τ A )2 2 0 cos (ωt + φ0 ) + xeq τΑ = 2m/b Q = 1 τ Aω0 T 2 φ = − tan −1 B −t /τ A F0 / m (ω − ωD ) + i (2ωD / τ A ) 2 0 22 2ωD / τ A ω02 − ωD 2 TB ωr = ω0 1 − 2 (−π < φ < 0) 2 (τ Aω0 ) 2 FɶDrive = F0eiωt B B B P Mechanical Waves ∂y ∂y = ∓v ∂t ∂x 2 ∂y ∂2 y = v2 2 ∂t 2 ∂x u± = x ∓ vt τ v= µ ∆V ∆p = p − p0 = − B V0 ∂s ∆p = − B ∂x B v= v ph = ρ ω k dω v gr = dk v + vo fo = fs v + vs a +b a − b cos 2 2 cos (a ) + cos (b ) = 2 cos cos (a + b ) = cos (a )cos (b ) − sin (a ) sin (b ) Z1 − Z2 Z1 + Z2 2Z1 T= Z1 + Z2 R= Z= µv Z = ρv v2 − v1 v2 + v1 2v2 T= v2 + v1 R= Page 1 of 1 ...
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