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Damped Oscillations Problem

  1. May 31, 2009 #1
    1. The problem statement, all variables and given/known data

    A 45.0-g hard boiled egg moves on the end of a spring with a force constant k = 2.50 N/m. Its initial displacement is 0.500 m. A damping force Fx = -bvx acts on the egg, and the amplitude of the motion decreases to 0.300 m in 4.0 s. Calculate the magnitude of the damping constant b.


    2. Relevant equations

    (1/2)m(v^2) + (1/2)k(x^2) - bv = (1/2)m(A^2)

    3. The attempt at a solution

    So basically I thought you could solve this question by using the above equation. But I'm finding some difficulty in finding the correct value for v (from bv). Also I'm not sure on how to incorporate the fact that the amplitudes change in 4 seconds into this equation. Any help will be appreciated!
     
  2. jcsd
  3. May 31, 2009 #2

    Redbelly98

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    That equation is wrong. Since bv is a force, no way can it be added or subtracted from these other terms which are energies.

    Usually a problem like this is solved by looking in your textbook for the equation of a damped oscillator.
     
  4. Jun 3, 2009 #3
    I'm still having trouble doing this problem. I don't seem to find any equation where I can incorporate the different values given in the question.

    Can anybody help me?
     
  5. Jun 4, 2009 #4

    Redbelly98

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