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Variable mass system

  1. Jul 2, 2010 #1
    1. The problem statement, all variables and given/known data
    a heap of chain is lying on a table with a hole. A small part of chain is released through the hole.calculate the velocity as a function of the length of the chain hanging vertically.



    [2. Relevant equations



    3. The attempt at a solution
    if I take a mass element dm at a distance x from the hole,
    then the force acting on it is
    dF= (dm)g

    then the acceleration is dF/m. this is equal to dV/dx

    I am stuck now.


    {ans is (2/3gy)1/2 }
     
  2. jcsd
  3. Jul 2, 2010 #2

    Doc Al

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    Staff: Mentor

    Hint: Consider the force acting on the entire length of the chain that is hanging vertically.
     
  4. Jul 2, 2010 #3
    tried but didn't work
     
  5. Jul 2, 2010 #4

    Doc Al

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    Staff: Mentor

    Show what you tried.
     
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