Radius of Gyration for Generic Polygons

OniLink++

I need to calculate the radius of gyration for a generic, convex polygon, where the density is constant, the axis of rotation is the centroid (which is known), and the positions of the vertices are known. Does such an equation exist?

A.T.

http://en.wikipedia.org/wiki/Radius_...s_in_mechanics
http://lab.polygonal.de/2006/08/17/c...onvex-polygon/

I would triangulate the two polygon parts separated by the axis individually. And then workout the inertial moment around that axis.

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OniLink++	Radius of Gyration for Generic Polygons Tweet I need to calculate the radius of gyration for a generic, convex polygon, where the density is constant, the axis of rotation is the centroid (which is known), and the positions of the vertices are known. Does such an equation exist?

A.T.	http://en.wikipedia.org/wiki/Radius_...s_in_mechanics http://lab.polygonal.de/2006/08/17/c...onvex-polygon/ I would triangulate the two polygon parts separated by the axis individually. And then workout the inertial moment around that axis.