Sure way to find the x- and y- component

# Sure way to find the x- and y- component - Dr.Chang

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Dr. Chang    Sure way to find the x- and y-components of a  Vector When you have a vector  V  that you want to resolve into x- and y- components (or, in other words, to replace  V  with  V x    and  V y ), the first step  is to complete a rectangle with the vector as its diagonal.   V θ θ      V Then you can easily draw the arrows to show the directions of the x- and y-  components.  Next you have to identify an angle.  Suppose you pick or you  are given the angle  θ with respect to the x-axis.  In the figures above,  V x  is  the adjacent side of the angle  θ  and recalling cos  θ  = adjacent  side/hypotenuse, therefore  V x  is simply equal to V cos θ. If  V x  is V  cos θ  , then  V y   must be given by   V sin θ .  It is that simple.  Do not forget  to assign + or – sign to the components. What if you are given the other angle, the one between the vector

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## This note was uploaded on 08/29/2010 for the course PHY 2049 taught by Professor Criss during the Fall '08 term at University of South Florida - Tampa.

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Sure way to find the x- and y- component - Dr.Chang

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