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Radius of Gyration for Generic Polygons 
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#1
Aug1011, 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?



#2
Aug1111, 03:42 AM

P: 3,932

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