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Homework Help: Simple Harmonic Motion Help Please

  1. Dec 31, 2013 #1
    I need help for the second part please. How do the oscillations being damped prevent them from being S.H.M. as well the other 2 points? I need an explanation so I can understand. The oscillations would still have the same time period eve if they are damped.

    Q+MS 2.png
    Low frequency due to mass/density (of spheres)

    Can someone please explain that to me as I don't understand it.

    Q+MS 3.png
    Isn't T supposed to be constant as it is independent of the amplitude theta, right?

    So surely as m increases T increases like the graph of y=√x?

    How does good suspension in a car help prevent resonance in the various parts of the car?
    Prevention of resonance:
    Damps oscillations (1)
    Fewer forced oscillations (1)
    Explanation of damping [e.g. in terms of energy transfers] (1) Max 2

    For the last part, I understand that the suspension damps oscillations, but I'm not fully sure how there are fewer forced oscillations. Is it because that the damping causes the oscillations to die away quicker, so they stop quicker. Hence there are fewer forced oscillations?

    Q+MS 5.png
    I think the MS answer is wrong as I got k=1.40Nm^-1 using T=2π√(m/k). What did others get?

    THANKS SO MUCH!:biggrin:
    Last edited: Dec 31, 2013
  2. jcsd
  3. Jan 1, 2014 #2

    Simon Bridge

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    Homework Helper

    What do the letters "S.H.M." stand for? Does this describe damped harmonic motion?

    How does the mass density affect the movement?


    That equation makes some assumptions about the system - what if those assumptions do not hold?

    When the suspension is good - what do you want to happen to the oscillations?
    Think about situations where you experience good suspension.

    Nope - that would amount to "doing the work for you", which is not allowed.
    How did you get that answer? What was your reasoning?
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