Lecture_1-2D_Coplanar_Vector.ppt

# Lecture_1-2D_Coplanar_Vector.ppt - Force Vectors Lecture...

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Force Vectors Lecture 1-Coplanar Vectors  (2-Dimensional Vectors) Section 2.4

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Learning Objectives Be able to resolve each force into its  rectangular components F x  and F y . Be able to define unit vectors i and j. Be able to represent the components of force  in terms of the Cartesian unit vectors i and j. Be able to determine coplanar force  resultants using the Cartesian unit vectors.
Pre-requisite Knowledge Units of measurements. Trigonometry concepts. Vector concepts.

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Rectangular Components of Force Vector Y X Θ F F x F y F = F x  + F y Magnitude of θ cos = F F x Magnitude of sin = F F y
Cartesian Unit Vectors i: the Cartesian unit vectors in x-direction 1 unit 1 unit j: the Cartesian unit vectors in y-direction Y X i j

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Cartesian Unit Vectors- Examples Y X F 1 F 2 F 3 F 1  = 5 i + 2 j F 2  = _______ F 3  = _______ F =  F x  i +  F y  j
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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_1-2D_Coplanar_Vector.ppt - Force Vectors Lecture...

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