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Math Help - distance as a function of time

  1. #1
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    distance as a function of time

    Im trying to figure how to start this problem....I know i need to draw a FBD and use Newtons second Law....But im kind of stuck

    heres the problem, I just need to put it into integral form, but not integrate

    http://i14.photobucket.com/albums/a3...ristx/calc.jpg


    I could only come up with this,

    http://i14.photobucket.com/albums/a3...tx/calcsol.jpg
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  2. #2
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    Opalg's Avatar
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    The net force on the piston is P kv, and by Newton's second law that should equal ma. But v=\dot x and a = \ddot x, so the equation becomes m\ddot x = P-k\dot x.
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