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Math Help - Engineering Centroid Problem

  1. #1
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    Engineering Centroid Problem

    Centroid = \frac {\int_0^h y\frac {b}{h}(h-y)dy}{\int_0^h \frac {b}{h}(h-y)dy}

    I have the answer which is \frac {\frac {1}{6}bh^2}{\frac {1}{2}bh} which produces \frac {h}{3} as you may know that is a triangle.

    However I cant get the same answer, infact I appear to be way off. Can anyone suggest how to integrate this problem? maybe even just the top would be great help.

    Thanks to those who can help.
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  2. #2
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    what is the probelm ?? both the num and denom are polynomials ... u just have to use the formula mindlessly .. where r u stuck ?
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  3. #3
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    on the graph attached the triangles line is y = \frac {h}{b} (b - x) using the standard equation for calculating the y value for the centroid.
    Attached Thumbnails Attached Thumbnails Engineering Centroid Problem-graph.jpg  
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  4. #4
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    I am having trouble integrating the formula in terms of y to get the answers. I cant get the same answer I am getting very different values
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  5. #5
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    what r u getting ???
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  6. #6
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    The centroid of the triangle, or you might know it as the first moment of area.
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