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Work problem -- raising a chain and load

  1. Jul 2, 2017 #1
    1. The problem statement, all variables and given/known data
    Consider a 40-foot chain that weighs 4 pounds per foot hanging from a winch 40 feet above ground level. Find the work done by the winch in winding up the entire chain with a 600-pound load attached to it.

    2. Relevant equations


    3. The attempt at a solution
    ##\displaystyle \int_{0}^{40} 600 + 4(40-y) ~dy = 27200 ## ft-lbs

    Is this the correct answer?
     
  2. jcsd
  3. Jul 2, 2017 #2
    It looks correct. I get the same answer if I consider the center of mass of the load and chain and find the change in gravitational potential energy of the objects.
     
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