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Unformatted text preview: Addition of a System of Coplanar Forces Vector Notation In many problems it will be necessary to resolve a force into 2 components that are perpendicular to each other. y j i x O 2 vectors, i and j that have the direction shown and magnitude 1 - unit vectors. The i and j provide direction!-suppose I want a vector 4 units long in the x-direction i V 4 =-a vector 5 units long in the negative y-direction ( 29 j j V 5 5- =- = Is j i P 8 . 6 . + = a unit vector? Yes 1 8 . 6 . 2 2 = + = P j Suppose we have a force, with magnitude F x , that lies on the x-axis. i F F x x = and one on the y-axis i F F y y = . What is the resultant, F j ? j F i F F F F y x y x + = + = Remember: y x F F j j , and x F j are vectors y x F F , and F are magnitude of vectors, which are scalars What does F j look like? y What is the magnitude of F j ? 2 2 y x F F F + = y F j F j What is ?...
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This document was uploaded on 12/23/2010.
- Spring '10