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Book Stacking Equation

  1. Feb 4, 2012 #1
    1. The problem statement, all variables and given/known data

    Books are stacked one level at a time on the edge of a table. How many book lengths can the top book be made to extend past the end of the table if you have n books? The solution is given by the nth partial sum of the harmonic series divided by 2.

    My problem is that with n books I want to be able to come up with a graph that can model the positions of the centers of mass of each book. In other words, if I have n books, I want to be able to know where to place the center of mass of each book in order for my pile to extend as far as possible.


    2. Relevant equations



    3. The attempt at a solution
     
  2. jcsd
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