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Max tension of a chain

  1. Sep 28, 2009 #1
    A chain is attached to the top of a vertical pole of height H located at x=0. The other end of the chain is attached to another pole of height H at x=a. Find the maximum tension T of the chain as a function of the length of the chain L. Assume that the weight density of the chain is $ (lambda)
    Last edited: Sep 28, 2009
  2. jcsd
  3. Sep 29, 2009 #2
    Well, how I would go about it is this:

    Take a infinitesimally small portion of the chain say at some x, of length dx and do a free body diagram of this. You should end up with a differential equation which you can then
    1. integrate to find out the tension at each point in the chain and thus find the max.
    2. Find dT/dx from the equation you found and set it to zero, you'll get some value for the angle. That is your position of max tension.

    I havent solved this yet, but intuition tells me the max tension should be somewhere near the point of application.
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