equation sheet

equation sheet - CHAPTER 2 STATICS OF PARTICLES Law of...

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Unformatted text preview: CHAPTER 2 STATICS OF PARTICLES Law of Sines a b = sin( ) sin( ) Law of Cosines c = a 2 + b 2 - 2ab cos( ) FORCES ON A PLANE F = Fx i + Fy i Fx = F cos Fy = F sin Equilibrium R = F = 0 FORCES IN SPACE F = Fx2 + Fy2 + Fz2 Fx = F cos x Fy = F cos y Fz = F cos z F = Fx i + Fy j + Fz k 2 + 2 + 2 = 1 x y z cos 2 x + cos 2 y + cos 2 z = 1 cos x = cos y = Fx F Fy F F cos z = z F F F = F = (d x i + d y j + d z k ) d CHAPTER 3 EQUIVALENT SYSTEMS OF FORCES V = PQ sin V = PQ Vector Products in terms of rectangular components ii = 0 j i = -k ki = j i j= k j j = 0 k j = -i i k = -j j k = i k k = 0 V = P Q = ( Px i + Py j + Pz k ) (Q x i + Q y j + Q z k ) Vector Product V x = Py Q z - Pz Q y V y = Pz Q x - Px Q z V x = Px Q y - Py Q x Mo = r F M o = rF sin = Fd M o = M xi + M y j + M zk M x = yFz - zFy M y = zFx - xFz M z = xFy - yFx Scalar Product of Vectors P Q = PQ cos P Q = Px Q x + Py Q y + Pz Q z ...
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This note was uploaded on 04/07/2008 for the course ENG 2331 taught by Professor Dylion during the Spring '08 term at Temple.

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equation sheet - CHAPTER 2 STATICS OF PARTICLES Law of...

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