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Graph Of An Oscillator

  1. Jun 16, 2008 #1
    [​IMG]

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    A 3.9 kg block is attached to a horizontal spring and undergoes simple harmonic motion on a frictionless surface according to the graph shown above.

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    (a) What is maximum velocity of the box?
    vmax = m/sec

    HELP: How is the maximum velocity related to the applitude and the angular frequency of the oscillator?
    HELP: How can you get the angular frequency and the amplitude from the above graph?


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    (b) What is the mechanical energy of the box?
    A = J

    Okay, so at first I figured this problem wouldn't be too difficult, but I still couldn't figure it out lol I thought I was reading the period T and amplitude A correctly, but am I missing something? I have a feeling it has something to do with the fact it's a spring system. Anyways, here's what I tried below. I believe I'm using the correct equation for Vmax, but I must be getting either A, w or both incorrect.

    Also, for part B I believe that would be the correct equation no? Since it's using Vmax PE would be zero.

    Any help would be appriciated :)

    [​IMG]

    BTW - I got 1.57m/s for Vmax which was incorrect.
     
  2. jcsd
  3. Jun 16, 2008 #2

    alphysicist

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    Homework Helper

    Hi Pat2666,

    Your period is incorrect. (It should be in seconds, and the numerical factor does not match the graph.) Once that is corrected, I think you should get the right answers. What do you get?
     
  4. Jun 16, 2008 #3
    Oh I see, I kept reading the x coordinate as cm for some reason! Thanks a lot, I totally overlooked that.

    I got the right answers too :)

    Vmax = 0.0157m/s
    A = 4.81 * 10^-4 J
     
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