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Surface SHM

  1. Feb 25, 2012 #1
    1. The problem statement, all variables and given/known data
    A rectangular container partly filled with water up to height , after being slightly disturbed , the urface of water begins to slosh . Assume that the water surface remains practically flast during sloshing , find the time period of the sloshing mode. take width to be

    3. The attempt at a solution

    I tried to put up the equation of energy , and differentiating it .

    θ be the angle made by surface and the slant made by surface after slosh ,
    1/2 Iω2 + mgh = U

    but this doesnt lead me anywhere, can some one please tell what should i add in the energy equation .
     
  2. jcsd
  3. Feb 25, 2012 #2

    tiny-tim

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    welcome to pf!

    hi crotical! welcome to pf! :wink:

    what does mgh have to do with it?

    surely the centre of mass isn't moving?​
     
  4. Feb 25, 2012 #3
    Then what should i add to the Energy equation
     
  5. Feb 25, 2012 #4

    tiny-tim

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  6. Feb 26, 2012 #5
    So that means , no help ?
     
  7. Feb 26, 2012 #6

    tiny-tim

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    i think i've misunderstood the question :redface:

    what exactly is the water doing?​

    show us your full equation anyway :smile:
     
  8. Feb 27, 2012 #7
    Water is in a cup , find SHM of the surface , if slightly displaced
     
  9. Feb 28, 2012 #8
    Tiny ?
     
  10. Feb 29, 2012 #9

    tiny-tim

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    crotical?

    your equation?
     
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