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Math Help - Work and integration

  1. #1
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    Work and integration

    A 5 lb monkey is attached to the end of a 30ft hanging chain that weighs 0.2lb/ft. It climbs the chain to the top. How much work does it do?
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  2. #2
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    Quote Originally Posted by elitespart View Post
    A 5 lb monkey is attached to the end of a 30ft hanging chain that weighs 0.2lb/ft. It climbs the chain to the top. How much work does it do?
    There are a few ways to do this problem here is one.

    When the monkey is at the bottom the total weight it is carrying is 5 lbs

    (0,5) and when it is at the top it is carrying

    5+15(.2)=8 beucase it is only holding up half of the chain.
    (30,8)

    The equation between these two points you get

    F(x)=\frac{1}{10}x+5

    So the work is

    \int_{0}^{30}\left( \frac{1}{10}x+5 \right)dx=195 ft \cdot lbs

    I hope this helps. Good luck
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  3. #3
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    I always have trouble visualizing the question. Totally missed the whole chain being attached to him part this time. Anyways thanks for your help. Appreciate it.
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