D_-_3D_Cartesian_Vector

D_-_3D_Cartesian_Vector - FORCE VECTORS FORCE VECTORS...

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Unformatted text preview: FORCE VECTORS FORCE VECTORS Cartesian Vectors Cartesian Vectors (3-Dimensional Vectors) (3-Dimensional Vectors) LEARNING OBJECTIVES LEARNING OBJECTIVES Be able to resolve each force into its Be able to resolve each force into its rectangular components F rectangular components F x , F , F y and F and F z . . Be able to represent the components of force Be able to represent the components of force in terms of the Cartesian unit vectors i, j and in terms of the Cartesian unit vectors i, j and k. k. Be able to determine 3-dimensional force Be able to determine 3-dimensional force resultants using the Cartesian unit vectors. resultants using the Cartesian unit vectors. PRE-REQUISITE KNOWLEDGE PRE-REQUISITE KNOWLEDGE Units of measurements. Units of measurements. Trigonometry concepts. Trigonometry concepts. Vector concepts. Vector concepts. CARTESIAN UNIT VECTORS 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 RIGHT-HANDED COORDINATE RIGHT-HANDED COORDINATE SYSTEM SYSTEM RECTANGULAR COMPONENTS OF RECTANGULAR COMPONENTS OF FORCE VECTOR FORCE VECTOR A = A + A + A Magnitude of A x : Magnitude of A y : Magnitude of A z...
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This note was uploaded on 10/31/2010 for the course CEE CE 221 taught by Professor Baladi during the Fall '10 term at Michigan State University.

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D_-_3D_Cartesian_Vector - FORCE VECTORS FORCE VECTORS...

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