Math Is Fun Forum

Gotovina

Member

Registered: 2008-02-16

Posts: 8

Triple Integration question. Coordinates of Centroid.

Hey guys. I can't seem to figure out this question. Here she is.

Find the coordinates (x(bar), y(bar), z(bar)) of the centroid of the region which lies below the surface

and above the triangular region in the xy-plane enclosed by the straight lines

and

Last edited by Gotovina (2008-04-02 09:51:27)

JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: Triple Integration question. Coordinates of Centroid.

Are we assuming the density is constant? Then let the density function be given by ρ(x,y,z) = ρ (constant). The mass of the figure is given by

       

       

       

       

       

Then

etc. The ρ should cancel out.

Gotovina

Member

Registered: 2008-02-16

Posts: 8

Re: Triple Integration question. Coordinates of Centroid.

OOOOOh, I know where I went wrong know. Thanks so much.