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Unformatted text preview: Force Vectors Lecture 3Cartesian Vectors (3Dimensional Vectors) Sections 2.5 through 2.6 Learning Objectives Be able to resolve each force into its rectangular components F x , F y and F z . Be able to represent the components of force in terms of the Cartesian unit vectors i, j and k. Be able to determine 3dimensional force resultants using the Cartesian unit vectors. Prerequisite Knowledge Units of measurements. Trigonometry concepts. Vector concepts. RightHanded Coordinate System Rectangular Components of Force Vector α cos ⋅ = A A x A = A x + A y + A z Magnitude of A x : Magnitude of A y : β cos ⋅ = A A y Magnitude of A z : γ cos ⋅ = A A z Cartesian Unit Vectors i: the Cartesian unit vectors in xdirection 1 unit 1 unit j: the Cartesian unit vectors in ydirection Z Y j k k: the Cartesian unit vectors in zdirection 1 unit i X 3D Force Resultants...
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This note was uploaded on 03/19/2008 for the course ME 221 taught by Professor Buch during the Spring '08 term at Michigan State University.
 Spring '08
 Buch

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