Component vector method for resultant force

  1. Mar 24, 2011 #1
    1. The problem statement, all variables and given/known data

    An object has two ropes attached. One is on the x axis (positive) with a 60 lb force. One is 120* (Quadrant II) from the first rope with a 30 lb force. I have to find the resultant force and angle using the component vector method of addition NOT the parallelogram method.

    2. Relevant equations

    Fa + Fb = R

    3. The attempt at a solution

    I set up a table of components, but I am not sure if they are correct. I am just really confused as to how to approach this problem. I know how to do it using the parallelogram method, but it seems like some important piece of information is missing for doing it using the component vector method.

    A=30 lb
    B= 60 lb

    Angle A=120*
    Angle B=0*

    Ax = ??
    Bx = 60 lb

    Ay = ??
    By = 0
    Last edited: Mar 24, 2011
  2. jcsd
  3. Mar 25, 2011 #2


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    welcome to pf!

    hi argentnox! welcome to pf!

    (try using the X2 icon just above the Reply box :wink:)

    to find the component in a direction, always multiply by cos of the angle to that direction :smile:
  4. Mar 25, 2011 #3
    Thank you, I will try that and see how I do. If it is okay, I will probably come back to make sure I got the correct answer. I figure if I got the answer correct, I must have done the work correctly. ;)
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