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Mass on a Spring

  1. Mar 24, 2008 #1
    1. The problem statement, all variables and given/known data
    A 1.30 kg mass on a spring oscilates horizontally with little friction according to the following equation: x = 0.070cos(2.50t), where x is in meters and t in seconds.
    1) Find the maximum energy stored in the spring during an oscillation.

    2) Find the maximum velocity of the mass.


    2. Relevant equations
    I have no clue how to do this problem. Can someone show me step by step how to do it.


    3. The attempt at a solution
     
  2. jcsd
  3. Mar 24, 2008 #2
    The displacement function of simple harmonic motion is:

    [tex]x(t) = Acos(\omega t +\phi )[/tex]

    There is an equation that relates the angular frequency to the mass and the spring constant, and the maximum energy of a SHM system is 1/2 kA^2.

    The maximum velocity can be obtained by finding the derivative of the displacement function and determining what the maximum value of sin is.
     
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