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Math Help - [SOLVED] Find x-coordinate of centroid

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    Senior Member Twig's Avatar
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    [SOLVED] Find x-coordinate of centroid

    Hi!

    Problem: Find x-coordinate of centroid of the solid spherical segment.

    Solution attempt:

    dV=\pi\cdot r^{2} \cdot dx

    I need to express r in terms of  R \mbox{ and } x .

    I did, (and this part is probably wrong):  \frac{R}{R}=\frac{r}{\frac{R}{2}-x} \, \Rightarrow \, r = \frac{R}{2}-x

    And for the moment arm I used \frac{R}{2}+x

    Then integrate from \frac{R}{2} \mbox{ to } R


    I have solved it now, and OMG did my first solution attempt suck, dont read it
    Attached Thumbnails Attached Thumbnails [SOLVED] Find x-coordinate of centroid-pic_07.jpg  
    Last edited by Twig; July 8th 2009 at 12:35 AM. Reason: solved...
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