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Vector components on Tilted Axis

  1. Jan 10, 2012 #1
    θ1. The problem statement, all variables and given/known data

    Find the components N[itex]_{x}[/itex] and N[itex]_{y}[/itex] of vector N in the tilted cooridinate system.


    2. Relevant equations

    cosθ = adg/hyp and sinθ= opp/hyp



    3. The attempt at a solution

    vectorconfusionc.jpg

    The correct answer is supposed to be
    N[itex]_{x}[/itex] = -Nsinθ and N[itex]_{y}[/itex] = Ncosθ

    The error is on the component vector N[itex]_{x}[/itex].

    How do you find the component vectors and come up with a negative for N[itex]_{x}[/itex]?
     
    Last edited: Jan 10, 2012
  2. jcsd
  3. Jan 10, 2012 #2

    Simon Bridge

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    The x component of N is pointing in the -x direction.
    That's what the minus sign is telling you.

    You have to do this because the positive angle is measured from the y axis and towards the negative x axis.
    If you measured it towards the positive x axis then the angle shown would be negative, and the sign would take care of itself.
     
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