1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Vector problem; using undefined values (2D)

  1. Sep 14, 2007 #1
    1. The problem statement, all variables and given/known data


    2. Relevant equations

    sine law : (A)/(sin a) = (B)/(sin b) = (C)/(sin c)
    cosine law : c^2 = ( (a^2) + (b^2) - (a)(b)(cos A)
    vector addition : R^2 = (Rx)^2 + (Ry)^2
    = ((Ax + Bx +Cx)i )^2 + ((Ay + By + Cy)j )^2

    3. The attempt at a solution


    Well, I'm completely stumped as to how to finish this, or even if I'm on the right track. Any one able to help?
  2. jcsd
  3. Sep 14, 2007 #2
    yours that sin 60 + 2/3 sin 30 .. is wrong!
    because f1 is acting upwards, and other two downward.

    and otherwise everything else looks good.

    once you find theta, just substitute its value in any of those above equations, and you get F.
  4. Sep 14, 2007 #3
    Wow, can't believe I missed that....

    Oh well, I fixed it. However, I still have a problem. I get:

    n sin (theta) = 1.077
    n cos (theta) = 0.5327
    theta = 63.69

    n should be equal for those two equations, yes? Yet it isn't. Did I mess up somewhere else?
  5. Sep 14, 2007 #4
    n = 1.077 / sin (63.69)
    n = 0.5327 / cos(63.69)

    and isn't it equal?
  6. Sep 14, 2007 #5
    Wow, I'm slow tonight.

    When I typed in those values before, I got them reversed. Thus:

    n sin (theta) = 0.5327
    n cos (theta) = 1.077
    theta = 63.69

    This might seem that I still have a problem, right? But i figured it out. In my calculations, I wasn't finding theta, I was finding the angle between theta and the negative x axis. So I can either replace "theta" with "90 - theta", or switch my "n sin (theta)"s to "n cos (theta)"s, and vice versa.

    Wow, I feel dumb today. Two very simple mistakes, which took me so long to work out.

    Anyway, thanks for the help.
    Last edited: Sep 15, 2007
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Vector problem; using undefined values (2D)
  1. 2D vectors problem! (Replies: 4)

  2. 2D Vectors Problem (Replies: 5)

  3. Vector 2D Problem (Replies: 2)