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Resolving Three Vectors

  1. Nov 15, 2009 #1
    1. The problem statement, all variables and given/known data

    I have resolved three vectors to get the final equations with two unknowns.

    F [force]
    X [Angle]

    FcosX = 4.1
    FsinX = 6.4


    2. Relevant equations



    3. The attempt at a solution

    Here is what I tried to do but failed miserably.

    sinX=6.4/F
    X=arcsin(6.4/F)

    cosX=4.1/F
    X=arccos(4.1/F)

    I tried to solve for X = X --- but then I have no idea how to solve for F.
     
  2. jcsd
  3. Nov 15, 2009 #2


    Ok well, you solved for X in terms of F. To solve for F use the Pythagorean Theorem. (6.4) is one component of the force vector and (4.1) is the other component. Therefore, F=sqr((6.4)^2+(4.1)^2). We know that this is a valid step because we add vectors tip to tail (in this case creating a right angle).
     
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