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Radius of Gyration for Generic Polygons

by OniLink++
Tags: generic, gyration, polygons, radius
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OniLink++
#1
Aug10-11, 06:36 PM
P: 12
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?
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A.T.
#2
Aug11-11, 03:42 AM
P: 3,870
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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