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Mass spring system homework

  1. May 26, 2010 #1
    1. The problem statement, all variables and given/known data
    Three equal masses are attached to a string at equal distances from one another and from the ends, which are rasten to supports so that there is a tension T in the string. Compute normal modes and natural frequencies of small transverse vibrations about equilibrium. Describe the normal modes.
    HINT: Assume the tension constant, neglect gravity and asume the string weightless.

    similar systems:
    https://ccrma.stanford.edu/CCRMA/Courses/152/vibrating_systems.html

    2. Relevant equations



    3. The attempt at a solution
    1. The problem statement, all variables and given/known data



    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
  3. May 26, 2010 #2

    tiny-tim

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    Science Advisor
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    Welcome to PF!

    Hi mezacom! Welcome to PF! :wink:

    This is a Three-Mass, Four-Spring System, like the Two-Mass, Three-Spring System in your link.

    Show us what you've tried, and where you're stuck, and then we'll know how to help! :smile:
     
  4. May 27, 2010 #3
    I know how to solve a three mass four spring system for longitudinal vibration. I have solved it and photo it and you can find it in the link.
    I also photo how I think I should start my exercise with transversal vibration.
    Did I start solving my problem correctly.
    I don’t know how to get rid of all thetas.

    http://www.mypicx.com/05272010/mass_spring_solved/
     
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