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Homework Help: Maximum Torque / Evenly Spread across a lever.

  1. Oct 30, 2016 #1
    1. The problem statement, all variables and given/known data
    The maximum torque on a lever is 1.5 x 10^6 Newtons. How many people of weight 750N can stand evenly spaced on this lever, which has a length of 20 meters?

    2. Relevant equations
    X = Number of people

    3. The attempt at a solution
    I have set 1.5x10^6 N = (integral from 0-20) 750X dL.
    I understand that the correct next step is to divide out the 750, and to integrate the length over the interval 0 to 20. However, I do not quite understand how this method works. Can we assume that X, the number of people, is a constant when integrating?
  2. jcsd
  3. Oct 30, 2016 #2
    Is there an easier way than integrating?
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