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Theoretical Mechanics Problem

  1. Sep 9, 2015 #1

    mch

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    1. The problem statement, all variables and given/known data


    2. Relevant equations


    3. The attempt at a solution

    See LaTeX


    given that $$v^2 = v_o^2 + \frac{2}{m}\int\limits_{x_o}^x F(x) \ dx\ $$ find the speed v(t) and the position x(t) given that $$F = F_o$$ and $$v(t=0)=0$$. I tried plugging in $$F=F_o$$ for $$F(x)$$ in the above equation but solving this equation for v never yields any variable t. So my question is, how can I solve for v(t)?

    There we go. Sorry if the spacing is a little off. I'm not good at LaTeX
     
    Last edited by a moderator: Sep 12, 2015
  2. jcsd
  3. Sep 11, 2015 #2

    TSny

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    First get a relation between ##v##, ##x##, and ##x_0##. Then note that ##v = \frac{dx}{dt}##.
     
  4. Sep 11, 2015 #3

    andrewkirk

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    mch the reason your equations are all spaced out is because you used the 'display math' delimiters which are double $ signs.

    If you want to get in-line latex, which is what you need for some of your post, you can use double # instead.
     
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