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Linear velocity of a spring with mass

  1. Dec 20, 2011 #1
    1. The problem statement, all variables and given/known data

    why does the velocity of an small spring element will be in linear proportion to the distance from the fixed end?

    2. Relevant equations


    Thank you very much,
  2. jcsd
  3. Dec 21, 2011 #2
    I would like to add my attemp (although its probably way too far from the right direction):

    the general force equation for any coordinate of a mass spring with mass M attached to it is (I think):
    L - lenght of loose spring
    z[itex]_{0}[/itex] - the lenght from the fixed wall
    Z - the coordinate of the small mass element.
    m- mass of the spring
    M - mass attached to the spring


    if z[itex]_{0}[/itex] will be L then the equation will be the "normal" equation for mass M attached to a fixed spring.

    from this differential equation i've got the general velocity depends on z[itex]_{0}[/itex].
    as you can see, this is probably not the right way to approach this question - way too complicated..

    thanks, again.
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