June 1st, 2013, 08:07 AM  #1 
Newbie Joined: May 2013 Posts: 20 Thanks: 0  Center of mass
please find Center of mass. thank you 
June 4th, 2013, 03:11 PM  #2 
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Center of mass
The center of mass (since these are geometric figures and have no "density function", strictly speaking the term is "centroid") of a triangle is the average of the coordinates of the three vertices. For figures with more than three sides, you can divide into triangles, find the centroid and area of each, then do a "weighted average", the centroid of each triangle weighted by its area. Or you could use the integral definition of "centroid" where the integrals are taken over the entire figure. 

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