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Math Help - Find the centroid of a region?

  1. #1
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    Exclamation Find the centroid of a region?

    Find the centroid and the moment of inertia of the the ellipse :

    P= {(x,y,z):X ^2/4 + Y ^2/16 < z < 3}

    with p(x,y,z)=1

    use the the ellipse coordinates x = ar cos(phi) y = br sin(phi)

    Who can help me with this???
    Attached Thumbnails Attached Thumbnails Find the centroid of a region?-math-005neu.jpg  
    Last edited by angel050382; July 10th 2012 at 02:15 PM.
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  2. #2
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    Re: Find the centroid of a region?

    It should be obvious from the symmetry that the x and y coordinates of the centroid are 0. So the question is just the z coordinate. Now, what do YOU know? What are the formulas you can use?
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