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Mass spring system

  1. Jul 21, 2013 #1
    1. The problem statement, all variables and given/known data
    Obtain the expressions for the natural frequencies and mode shapes for the case where m1=m2=m.

    screenshot.png

    2. Relevant equations


    3. The attempt at a solution

    I apologise for not making an attempt, this is just unlike anything I've seen.

    I'd appreciate if anyone could demystify this problem.
     
  2. jcsd
  3. Jul 21, 2013 #2

    haruspex

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    Do the usual free body analysis and write the force/acceleration equations for each of the two masses.
     
  4. Jul 21, 2013 #3

    haruspex

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    Consider mass m1. If at some time t it is displaced vertically downward wrt m2 by an amount x1, what are the forces in the springs? What is ythe net vertical force on it? What is its displacement relative to the ground? What is its acceleration? What differential equation does that give you?
     
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