Results 1 to 1 of 1

Thread: [SOLVED] Find x-coordinate of centroid

  1. #1
    Senior Member Twig's Avatar
    Mar 2008

    [SOLVED] Find x-coordinate of centroid


    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; Jul 8th 2009 at 01:35 AM. Reason: solved...
    Follow Math Help Forum on Facebook and Google+

Similar Math Help Forum Discussions

  1. Replies: 2
    Last Post: Jul 5th 2010, 06:23 PM
  2. Find the centroid
    Posted in the Calculus Forum
    Replies: 4
    Last Post: Mar 26th 2010, 10:47 AM
  3. the coordinate of Centroid of a Triangle
    Posted in the Geometry Forum
    Replies: 1
    Last Post: Oct 20th 2009, 07:47 PM
  4. Z-coordinate of centroid , centre of mass prob
    Posted in the Calculus Forum
    Replies: 5
    Last Post: Jul 8th 2009, 09:30 PM
  5. Y-coordinate of a centroid
    Posted in the Calculus Forum
    Replies: 1
    Last Post: Jun 6th 2008, 12:28 PM

Search tags for this page

Search Tags

/mathhelpforum @mathhelpforum