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Circular and simple harmonic motion

  1. Nov 20, 2008 #1
    1. The problem statement, all variables and given/known data

    A vibrating strutural beam in a spacecraft can cause problems if the frequency of vibration is fairly high. Even if the amplitude of vibration is only a fraction of a millimeter, the acceleration can be several times greater than acceleration due to gravity. As an example, find the maximum acceleration of a beam that vibrates with an amplitude of 0.25mm at a rate of 110 vibrations per second. Give your awnser as a multiple of g.


    2. Relevant equations

    I think...

    -Aw^2cos(wt)
    w = 2pi/T

    3. The attempt at a solution

    I dont even know where to begin. None of the problems I have done already have looked like this. Ive either been given a specific time, mass or speed to work with. Would appreciate help getting started and working through this problem.
     
  2. jcsd
  3. Nov 20, 2008 #2

    Hootenanny

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    That looks good to me. So you want to find the maximum value of -Aw2cos(wt). Now, A and w are constants so you can just ignore them, so what you really need to know it the maximum value of cos(wt).
     
  4. Nov 20, 2008 #3
    so I start with cos(110 * t). But I dont have a value for t. Do I estrapolate it from something else?
     
  5. Nov 20, 2008 #4

    Hootenanny

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    Think simpler than that, what is the maximum value which cos(x) can take?
     
  6. Nov 20, 2008 #5
    0.25 would be max and -0.25 would be min with an origin point in the middle?
     
  7. Nov 20, 2008 #6

    Hootenanny

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    I'm sorry, but I have no idea what you mean. Try sketching a graph of y=cos(x), what is the maximum value of this curve, i.e. what is the largest value of y?
     
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