PH112_EquationsSheet

PH112_EquationsSheet - EQUATIONS r r Fnet = ma 2 d x a= v=...

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EQUATIONS a m F net r r = dt dx v = , 2 2 dt x d a = r s = θ , dt d θ ω = , dt d ω α = 2 2 1 t t i i Δ + Δ + = α ω θ θ t i Δ + = α ω ω θ α ω ω Δ + = 2 2 2 i ω r t v = α r t a = , 2 ω r r a = F r τ r r r × = φ τ sin rF = α τ I net = = 2 i r i m I 2 Md cm I I + = v m r L r r r × = net dt L d τ r r = ω I L = cm g Mgy U = 2 2 1 cm cm Mv K = 2 2 1 ω I K rot = ( ) 0 cos ) ( φ ω + = t A t x f T π = π = ω 2 2 0 0 0 tan x v ω φ = kx F sp = , m k = ω L g = ω 2 2 2 2 1 2 1 2 1 kA kx mv E = + = [ ] 0 cos ) , ( φ ω + ± = t kx A t x y f k v λ = ω = , λ π = 2 k , μ T v = t kx SW A t x y ω sin sin ) , ( = π φ λ π m x 2 2 0 = Δ + Δ π φ λ π + = Δ + Δ 2 1 2 2 0 m x n L v n f 2 = , n L n 2 = λ n L v n f 4 = , n L n 4 = λ 2 2 1 0 4 1 r q q F πε = E q F r r = 2 4 1 r q o E πε = 3 4 1 r p o E πε = r o πε λ = 2 E o E ε σ 2 = A E e r r = Φ = Φ A d E e r r 0 ε encl q A d E e = = Φ r r V q U = r q q o U 2 1 4 1 ε π = Ed V = r q o V ε π 4 1 = = = n i i r i q o V 1 4 1 ε π = r dq o V ε π 4 1 = f i - l d E i V f V r r dl dV E s = V Q C = d A o C ε = = = n i i C eq C 1 = = n i i C eq C 1 1 1 C Q U 2 2 1 = dt dq I = A I J = E J σ = ρ σ 1 = R I V = A L R ρ = = = n i i R eq R 1 = = n i i R eq R 1 1 1 VI P = 0 = Δ i i V = out in I I ⎛ −
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