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A mass moves under a potential V (x) = V0 cosh (x / x0 ) , where V0 and x0 are consta

  1. Oct 16, 2011 #1
    1. The problem statement, all variables and given/known data

    A mass moves under a potential V (x) = V0 cosh (x / x0 ) , where V0 and x0 are constants.
    a) Make a sketch of V(x)
    b) Find the position of stable equilibrium
    c)Show that the frequency of small vibrations about this point is the same as it would be
    if the mass was in vibration on a spring of spring constant k =V / x2 .
    2. Relevant equations



    3. The attempt at a solution
    I'm not really sure how to start as I am not very familiar with the cosh function… help please?
     
  2. jcsd
  3. Oct 16, 2011 #2

    vela

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    Re: A mass moves under a potential V (x) = V0 cosh (x / x0 ) , where V0 and x0 are co

    Do you know the definition of the hyperbolic cosine? If not, start by looking it up.
     
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