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Equivalent force systems (statics)

  1. Feb 3, 2010 #1
    1. The problem statement, all variables and given/known data
    See figure


    2. Relevant equations
    [tex] \sum F_{x} = 0[/tex]

    [tex] \sum F_{y} = 0[/tex]


    3. The attempt at a solution

    I'm confused as to how to check which systems are equivalent.

    Do I just have to simply reduce all the systems to one force?

    I tried comparing systems (a) and (b) and they don't seem to be the same.

    If I take moments about the bottom left corner,

    [tex] M_{a} = 63N.m[/tex]
    [tex] M_{b} = 35N.m[/tex]

    I'm confused as to which route I should take to solve the problem. Any ideas?
     

    Attached Files:

    Last edited: Feb 3, 2010
  2. jcsd
  3. Feb 3, 2010 #2

    PhanthomJay

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    No figure attached.
     
  4. Feb 3, 2010 #3
    Sorry about that, it should be in the OP now.
     
  5. Feb 3, 2010 #4

    PhanthomJay

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    The force systems are equivalent if the resultant force and moments about a point, of each system, are the same. You are correct that 'a' and 'b' are not equivalent. What about 'a' and 'c'???
     
  6. Feb 4, 2010 #5
    That's all I needed!

    Thank you!
     
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