# Can the equivalent point weight extend beyond the body on which it acts?

If the x location of the centroid equals (moment about O)/(equivalent point weight) and there are forces acting above and below the given body, couldn't the value of the x coordinate potentially extend beyond the body?

• I don't really follow the wording of this. You can definitely have a centroid (or center of mass) that is outside of the physical body, if that's what you're asking. – JMac Oct 10 '19 at 19:03
• take a donut, the center of Mass will not be in the donation, but in the hole – trula Oct 10 '19 at 21:15

Yes. What you are doing with $$x=\frac{M_O}{W}$$ is finding the moment arm of the weight. That is typically the center of mass of a body.
Reverse the equation to get $$M_O = x W$$, or the moment about origin depends on the moment arm of the weight $$W$$.
Now the part of your question that compares this $$x$$ with the "extent of the body" it is unclear, although logic dictates that the center of mass is always within the bounds of a solid body.