equation_sheet

Equation_sheet - VECTORS Ax = Acos(θ Ay = Asin(θ and Ay r =(A2 A2)1/2 and tan(θ = Ax x y KINEMATICS 1 θf = θi ωi t 1 αt2 xf = xi vxi t 2 ax

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Unformatted text preview: VECTORS: Ax = Acos(θ), Ay = Asin(θ), and Ay r = (A2 + A2 )1/2 , and tan(θ) = Ax . x y KINEMATICS: 1 θf = θi + ωi t + 1 αt2 xf = xi + vxi t + 2 ax t2 , 2 vxf = vxi + ax t, ωf = ωi + αt 2 2 2 2 ωf = ωi + 2α(θf − θi ) vxf = vxi + 2ax (xf − xi ), xf = xi + 1 (vxi + vxf )t, θf = θi + 1 (ωi + ωf )t 2 2 ω = dθ , α = dω , v = rω , s = rθ, at = rα dt dt NEWTON’S LAWS: F = ma, FRICTION: f k = µk N WORK: W = F · d = F dcos(θ) ENERGY: Ei + W = Ef 1 Us = 2 kx2 s τ = Iα F12 = −F21 , F= dp , dt τ= dL dt =r×F f s ≤ µs N Ug = mgh = −Gm1 m2 R K = 1 mv 2 2 1 K = 2 Iω 2 MOMENTUM and IMPULSE: p = mv, INERTIA: I= d2 x dt2 L = Iω = r × p, Idisk = 1 mR2 2 ∆p = I = F ∆t, Isphere = 2 mR2 5 ω= k m mr2 , SIMPLE HARMONIC MOTION: = −cx, x = Acos(ωt + φ), vmax = ωA, = λf , ω = 2πf = λ∆ φ , 2π 2π , T 1 f = T = 2ω , π 2 amax = ω A = g L WAVES: v= T µ k= n 2L 2π , λ T µ y = Acos(kx − ωt + φ) for string with both ends fixed y = 2Asin(kx)cos(ωt), ∆r = FLUIDS: P= OTHER: F , A m , V fn = ρ= 2 P = Po + ρgh, A1 v1 = A2 v2 , P1 + 1 ρv1 + ρgy1 = constant 2 = W = Fv = τω t 2 ac = vr 2 Fg = −Gm21 m2 , G = 6.67x10−11 N m , Re = 6.37x106 m, me = 5.98x1024 kg R kg 2 f = f ( v+vo ) v −vs P= ∆E t ...
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This note was uploaded on 03/15/2009 for the course PH 212 taught by Professor Demaree during the Winter '08 term at Oregon State.

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