Lecture_2-3D_Cartesian_Vector.ppt

Lecture_2-3D_Cartesian_Vector.ppt - Force Vectors Lecture...

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Unformatted text preview: Force Vectors Lecture 2-Cartesian Vectors (3-Dimensional 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 3-dimensional force resultants using the Cartesian unit vectors. Pre-requisite Knowledge Units of measurements. Trigonometry concepts. Vector concepts. Right-Handed 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 x-direction 1 unit 1 unit j: the Cartesian unit vectors in y-direction Z Y j k k: the Cartesian unit vectors in z-direction 1 unit i X 3-D Force Resultants...
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This note was uploaded on 06/14/2009 for the course CE 221 taught by Professor Buch during the Spring '08 term at Michigan State University.

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Lecture_2-3D_Cartesian_Vector.ppt - Force Vectors Lecture...

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