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Homework Help: Deriving expression for k_eff

  1. Nov 12, 2009 #1
    See attached file:
    I would like to show theoretically that the first double spring system is equivalent to the second system with only one spring keff. Then I want to derive an expression for keff in terms of k1 and k2.

    I think this system is in series and therefore keff =1/k1 +1/k2
    but that is probably not even close to the right track...
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     

    Attached Files:

    • keff.jpg
      keff.jpg
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  2. jcsd
  3. Nov 12, 2009 #2

    rock.freak667

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    Homework Helper

    Well for the new spring system

    [tex]F=k_{eff}(x_1+x_2)[/tex]

    knowing that F is the same for both springs, can you make an attempt now?

    (sorry if I sound harsh,am a bit handicapped at the moment and typing is tedious)
     
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