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Equation Sheet

# Equation Sheet - ME 270 EQUATIONS(You probably will not...

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ME 270 EQUATIONS (You probably will not need all of these equations) u = r r , r = r T 2 T 1 = e μ s β A B = AB cos θ v = v o + a c t = A x B x + A y B y + A z B z s = s o + v o t + 1 2 a c t 2 A = A u v 2 = v o 2 + 2 a c ( s s o ) M o = r × F , M o = Fd Σ F = m a Σ F = 0 Σ M / P = 0 M o = i r x F x j r y F y k r z F z v = x i + y j + z k M a = u a M o v = r u r + r θ u θ + z k M a = u a ( r × F ) v = v u t M a = u ax r x F x u ay r y F y u az r z F z a =  x i +  y j +  z k M a = M a u a a = v u t + v 2 ρ u n m = W g , g = 32.17 ft / s 2 = 9.807 m / s 2 a = (  r r θ 2 ) u r + ( r  θ + 2 r θ ) u θ +  z k ρ = 1 + dy dx 2 3 2 d 2 y dx 2 Σ F x = m  x , Σ F y = m  y , Σ F z = m  z v = ds dt , a = dv dt = v dv ds Σ F r = m (  r r θ 2 ) , Σ F θ = m ( r  θ + 2 r θ ) , Σ F z = m  z Σ F t = m v , Σ F n = m v 2 ρ , Σ F b = 0

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n B / A = r B / A r B / A F = Fn F f static μ S N f slide = μ K N x = x dm dm y = y dm dm z = z dm dm x = m i x i m i y = m i y i m i z = m i z i m i x = x dA dA y = y dA dA z = z dA dA x = A i x i A i y = A i y i A i z = A i z i A i P = ρ gh w = ρ ghd If β = β α ( ) , then: d β dt = d β d α d α dt (chain rule of differentiation)
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Equation Sheet - ME 270 EQUATIONS(You probably will not...

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