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How can I solve this displacement question?

  1. Sep 12, 2009 #1
    Solving displacement using compoenents

    1. The problem statement, all variables and given/known data

    x3wmj6.jpg

    2. Relevant equations

    I decided to use the horizontal and vertical component method to solve for the displacement of E and got the answer 32.7m [W74.5N] (above). However the answer provided by the question states that the resultant vector E is actually 32m [E25N] (above)


    3. The attempt at a solution

    Please refer to the above pic.

    Am I using the correct approach to solve for the resultant vector E/displacement of E=A-C+2B-D?

    Please help
     
    Last edited: Sep 12, 2009
  2. jcsd
  3. Sep 12, 2009 #2

    rl.bhat

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    Double B, and change the directions of C and D. Redraw the vectors.
     
  4. Sep 12, 2009 #3
    is the method i am using right though?

    EDIT: so first, I have to reverse C and D, redraw vectors and then perform the component calculation from there?
     
  5. Sep 12, 2009 #4

    rl.bhat

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    In the solution you have taken 8, but it should be 16.
    If you reverse the directions of C and D( - C, -D), their x-components of these vectors add up to A adds to
     
  6. Sep 12, 2009 #5
    thanks i got the right answer now

    for future references, could you tell me if the following approaches will be correct?

    If i am adding vectors (i.e. A+B+C+D.....) i do not need to reverse anything, I will just have to perform components calculation as usual

    If I am subtracting vectors (i.e. A-B or 2A-B), I will have to reverse the direction of vectors accordingly and apply any multiplication to a vector (i.e. doubling or tripling) as necessary
     
  7. Sep 12, 2009 #6

    rl.bhat

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  8. Sep 12, 2009 #7
    thank you very much~!
     
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