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Oscillator Problem Maximum speed & amplitude

  1. Dec 9, 2011 #1
    1. The problem statement, all variables and given/known data
    A 800g oscillator has a speed of 120.0 cm/s when its displacement is 1.5 cm and 55.0 cm/s when its displacement is 8.0 cm.

    a. What is the oscillator’s maximum speed?

    b. What is the oscillator’s maximum amplitude?



    2. Relevant equations

    A= sqroot(X^2+(V^2/w^2)
    Vmax=wA

    3. The attempt at a solution

    I attempted to find the angular frequency but even with w=sqroot(k/m) i couldnt find a way to solve for w
     
  2. jcsd
  3. Dec 9, 2011 #2

    gneill

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    Staff: Mentor

    Write expressions for the total energy for the two known points (sum of PE and KE). There will be a single unknown to solve for. After that you should be able to continue.

    Conservation of energy is a powerful tool for these type of problems.
     
  4. Dec 9, 2011 #3
    i did this and solved for the Spring constant since this is what is not given and got K=147.4 ? correct ?
     
  5. Dec 9, 2011 #4

    gneill

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    Staff: Mentor

    Yup. You should be able to continue "as usual" from here.
     
  6. Dec 9, 2011 #5
    I did this and got max velocity as 121.7cm/s and max amplitude as 8.97cm. right?
     
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