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FIS01181 – Fo´rmulas e Tabelas – V10.10.2006 r = r0 + v0t+ 1 2 at2 v = dr dt = v0 + at v2 = v20 + 2a∆x F = ma fe ≤ µeN fc = µcN ac = v2 r K = 1 2 mv2 ∆K =W W = F · d = Fd cos θ W = ∫ F · dr F = −kx F = − dU dx P = dW dt = F · v U = mgh U = 1 2 kx2 rCM = 1 M n∑ i=1 miri fe ≤ µeN fc = µcN vCM = 1 M n∑ i=1 mivi aCM = 1 M n∑ i=1 miai xCM = 1 M ∫ xdm F resext =MaCM p = mv F = dp dt F resext = dP dt P =MVCM I = ∆p = ∫ tf ti F (t)dt S = θR V = ωR at = αR ar = ω 2R θf = θi + ωt+ 1 2 αt2 ω = dθ dt ωf = ωi + αt α = dω dt ω2f = ω 2 i + 2α∆θ K = 1 2 Iω2 I = ∑ i mir 2 i I = ∫ r2dm I = ICM +Mh 2 Ibarra CM = 1 12 mL2 Icil CM = 1 2 mR2 Iesf CM = 2 5 MR2 τ = rF sin θ ~τ = ~r × ~F τ = Iα ~ℓ = m~r × ~v ℓ = mrv sin θ ℓz = Iw τ = dℓ dt τ = rF sin θ K = 1 2 mv2 I = ICM +mh 2 Ibarra CM = 1 12 ML2 Idisco CM = 1 2 MR2 x(t) = xm cos(ωt+ φ) ω = 2π T = 2πf U = 1 2 kx2 U = mgh T = 2π √ m k T = 2π √ L g T = 2π √ I mgh F = Gm1m2 r2 U(r) = − Gm1m2 r vescape = √ 2GM R
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