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Math Help - winding up a chain...

  1. #1
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    winding up a chain...

    a 100 ft length of steel chain weighing 15 lb/ft is dangling from a pulley with a 2000 lb crate at the end. how much work is required to wind the chain on to the pulley? attached is a copy of my problem and the work that i did..can someone tell me if my setup is right? the integration is not a problem, i jus wanna make sure i have the right setup...IMG_0002.pdf thx in advance..
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  2. #2
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    Quote Originally Posted by slapmaxwell1 View Post
    a 100 ft length of steel chain weighing 15 lb/ft is dangling from a pulley with a 2000 lb crate at the end. how much work is required to wind the chain on to the pulley? attached is a copy of my problem and the work that i did..can someone tell me if my setup is right? the integration is not a problem, i jus wanna make sure i have the right setup...IMG_0002.pdf thx in advance..
    The integral looks correct. But you have forgotten to multiply the 2000 (lb) by 100 (ft).
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  3. #3
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    ok i thought only the weight of the chain would change..and that the crate would be constant...thanks.
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  4. #4
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    Quote Originally Posted by slapmaxwell1 View Post
    ok i thought only the weight of the chain would change..and that the crate would be constant...thanks.
    The weight of the crate is constant, but the work done in raising it is (weight)(distance).
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