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Hulls and COB calculation

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I have some questions on calculating COB for a mesh. Assume that the hull density is non uniform. Knowing the total mass of the hull, how can I calculate COB?

My instincts tell me that I will need to integrate the volume starting from the lowest part of the keel up, along the +y axis, until I arrive at d for a plane p(<0,1,0.>,d) where the volume of the hull below p * density of water = mass of hull. If so than the centroid of that mesh should be the COB. I'm also aware that it should be possible to use some sort of binary subdivision to speed this up.

Am I on the right track.

Any tips/links appreciated

@Mods Sorry for the double post, firefox glitched, feel free to remove
@ everyone else, please reply in the other thread so that this may be deleted.

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