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Two Masses on a Spring

  1. Sep 5, 2007 #1
    1. The problem statement, all variables and given/known data
    We attach two blocks of masses m1 = 10 kg and m2 = 4 kg to either end of a spring of spring constant k = 4 N/m and set them into oscillation. Calculate the angular frequency ω of the oscillation

    2. Relevant equations
    [tex]M_{1}{x}^{..}=k(w-x)[/tex]
    [tex]M_{2}{w}^{..}=-k(w-x)[/tex]

    where x and w are the distance from equilibrium position of m1 and m2 respectively.

    Attempt

    Honestly, I have absolutely no idea. How does one start this?
     
  2. jcsd
  3. Sep 5, 2007 #2

    Avodyne

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    Science Advisor

    Notice that the right-hand sides depend only on w-x. Wouldn't it be nice if you had an equation where the left-hand side depended only on (d/dt)2(w-x)? How could you get such an equation?
     
  4. Sep 5, 2007 #3

    Astronuc

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    Staff: Mentor

    What can one say about the center of mass? How does each move with respect to the CM?

    Also use \ddot{x} for [tex]\ddot{x}[/tex]
     
  5. Sep 5, 2007 #4
    Are you suggesting I make one equation for both masses instead of two separate equations?

    [tex]x_{cm}=\frac{{m_{1}x_{1}+m_{2}x_{2}}}{{\sum{m}}}[/tex]

    [tex]x_{1}=w, x_{2}=x[/tex]
     
  6. Sep 4, 2011 #5
    I know this thread is old, but I was wondering if someone could confirm the attempt suggested in the above post.
     
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