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Homework Help: Suspension strut design (diff eq and damping systems)

  1. Apr 4, 2013 #1
    1. The problem statement, all variables and given/known data

    The mass of a car that acts on one wheel is 100 kg. The
    elasticity (spring) constant in the suspension system of that wheel is k= 10^4 N/m:
    Design the strut (find the friction/resistance constant c)
    such that any vertical motion of the wheel (set up for example by going
    over a bump or pothole on the road) will die out in the shortest amount
    of time.

    2. Relevant equations

    mx''+cx'+kx=F(t) where F is some force

    3. The attempt at a solution

    Of the three different damping systems (under damped, critically damped, over damped), I believe critically damped allows for the shortest amount of time until the system is back to normal. Critically damped is when c^2-4*m*k=0, so therefore c=2000. I fear that there's more to this as this question is worth a lot of points. Is there anything I missed?
  2. jcsd
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