Eqn Sheet

Eqn Sheet - ME 270 EQUATIONS(You probably will not need all...

This preview shows pages 1–2. Sign up to view the full content.

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 = xi + y j + zk M a = u a M o v = ru r + r u + z k M a = u a ( r × F ) v = vu t M a = u ax r x F x u ay r y F y u az r z F z a =  + y j + 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 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

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
n B / A = r B / A r B / A F = Fn F f static μ S N f slide = 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 P = ρ gh w = ghd If β = βα ( ) , then: d dt = d d α d dt (chain rule of differentiation) v = ˙ x i + ˙ y j = ˙ r e r + r ˙ θ e = v e t a = ˙ ˙ x i + ˙ ˙ y j = ˙ ˙ r r ˙ 2 ( ) e r + r ˙ ˙ + r ˙ ( ) e = ˙ v e t + v 2 e n Trigonometric Identities
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 02/07/2012 for the course ME 270 taught by Professor Murphy during the Spring '08 term at Purdue.

Page1 / 2

Eqn Sheet - ME 270 EQUATIONS(You probably will not need all...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online