lctr05_s12

lctr05_s12 - x y z i j k x y z F F x F y F z 2 2 2 z y x z...

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Unformatted text preview: x y z i j k x y z F F x F y F z 2 2 2 z y x z y x z y x F F F F F F F + + = = + + = + + = F k j i F F F F 2.3 Cartesian Vectors in 3-D Important: Use a right- handed coordinate system x y z F ( x ) = angle between x-axis and F ( y ) = angle between y-axis and F , and are called the coordinate direction angles more ... Direction angles & direction cosines Direction cosines provide unit vector components 1 cos cos cos | | ) cos cos (cos 2 2 2 = + + = + + = = z y x v z y x v u k j i v u v v x y z F F x F y F z Example 1 : A pole is subjected to a force F which has components Fx =1.5 kN and Fz =1.25 kN . If = 75 , determine the magnitudes of F and F y. A: F = 2.02 kN F y = 0.523 kN Example 2 : Determine the magnitude and direction angles for the resultant...
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This note was uploaded on 03/15/2012 for the course EMA 201 taught by Professor Witt during the Spring '08 term at Wisconsin.

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lctr05_s12 - x y z i j k x y z F F x F y F z 2 2 2 z y x z...

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