equation_sheet_2

# equation_sheet_2 - solid sphere = 2 5 mR 2 I thin rod = 1...

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PHYS 121 Equation Sheet 2 Constants: g = 9 . 81 m / s 2 G = 6 . 673 × 10 - 11 N m 2 / kg 2 c = 2 . 998 × 10 8 m / s Formulas: ¯ v = Δ x Δ t ±v = r dt ¯ a = Δ v Δ t ±a = d±v dt = d 2 ± r dt 2 Constant a 0 : v = v 0 + a 0 t x = x 0 + v 0 t + 1 2 a 0 t 2 v 2 - v 2 0 = 2 a 0 ( x - x 0 ) ¯ ω = Δ φ Δ t ω = dt ¯ α = Δ ω Δ t α = dt = d 2 φ dt 2 Constant α 0 : ω = ω 0 + α 0 t φ = φ 0 + ω 0 t + 1 2 α 0 t 2 ω 2 - ω 2 0 = 2 α 0 ( φ - φ 0 ) ± A · ± B = AB cos φ = A x B x + A y B y + A z B z f k = μ k N f s, max = μ s N F g = mg U g = mgy F spring = - kx U spring = - 1 2 kx 2 K = 1 2 mv 2 W = Z ± F · d±s F = - dU dx W cons = - Δ U = - Z ± F · d±s W net = Δ K = W nc - Δ U ± r cm = X j m j ± r j . X j m j ±v cm = X j m j ±v j . X j m j ± p cm = m±v cm ± F net = p cm dt = M±a cm a r = a c = v 2 r = ω 2 r a t = ± I = Z ± Fdt = Δ ± p ω = 2 πf T = 1 f = 2 π ω I P = X j m j r 2 ,P,j = I cm + Mr 2 K P = 1 2 I P ω 2 τ = RF sin θ = I
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Unformatted text preview: solid sphere = 2 5 mR 2 I thin rod = 1 12 mL 2 I solid cylinder = 1 2 mR 2 I hollow cylinder = mR 2 ﬂ ﬂ ﬂ ± A × ± B ﬂ ﬂ ﬂ = AB sin θ ±v = ±ω × ± r ± τ = ± r × ± F \$Date: 2007-03-21 17:11:29 \$...
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