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Free Mechanical Vibrations

  1. Oct 18, 2009 #1
    1. The problem statement, all variables and given/known data
    A mass m=4 is attached to both a spring, with spring constant k=37, and a dash-pot with damping constant c=4.

    The ball is started in motion with initial position x0=1 and initial velocity v0=8 .
    Determine the position function x(t).

    2. Relevant equations

    3. The attempt at a solution
    So, the differential equation would be:
    r=-(1/2)+or- (1/2)sqrt(26)i

    And so,


    And so,

    Can anyone see anything wrong with this??
  2. jcsd
  3. Oct 19, 2009 #2


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    Hi jrsweet! :smile:

    (have a square-root-: √ and try using the X2 tag just above the Reply box :wink:)

    Where did your √26 come from? :confused:
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