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Homework Help: Damped spring (no driving force)

  1. Mar 18, 2010 #1
    1. The problem statement, all variables and given/known data

    A block of mass m is connected to a spring the other end of which is fixed. There is also a viscous damping mechanism. The following observations have been made about the system:

    1) if the block is pushed horizontally with force = mg, the static compression in the spring is "h"

    2) the viscous resistive force = mg if the block moves with a known speed "u"

    a) Write the differential equation governing the horizontal oscillation of this mass in terms of m,g,h,u.
    b) if u is known to be = [tex]3\sqrt(gh)[/tex] what is the angular frequency of the damped oscillation?


    Last edited: Mar 18, 2010
  2. jcsd
  3. Mar 18, 2010 #2

    Filip Larsen

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    Gold Member

    Note, that the angular frequency of a damped and undamped oscillation are not exactly the same, although they are related.
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