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Spring constant

  1. Sep 20, 2009 #1
    1. The problem statement, all variables and given/known data

    A spring with spring constant 8 N m-1 is cut into 2 equal parts. Find the spring constant of each part?

    2. Relevant equations



    3. The attempt at a solution

    Spring constant of each part = 16 N m-1
    Above is the answer given.
    1. Why should we times 2?
    2. If the spring is cut into a ratio of 1:2:3, then what should be the spring constant of each parts?
     
  2. jcsd
  3. Sep 20, 2009 #2

    rl.bhat

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    Homework Helper

    Force constant is force required to produce unit extension.
    In the spring for a given load, extension is proportional to the length of the spring. So when the length reduces, extension reduces and k increases.
     
  4. Sep 20, 2009 #3
    Hello. Consider the spring to be like two capacitors. 1/keq = 1/k + 1/k'. So in this case we consider the entire spring with keq to be the sum of two individual spring halves that have some other spring constant k where k = k' for this problem. Doing a bit of algebra shows that k = 2*keq.[
     
  5. Sep 20, 2009 #4
    Thanks a lot.
     
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