ENGG 2230 Lecture Notes - Lecture 5: Specific Weight, Buoyancy

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The intersection between the centre of buoyancy and the line of symmetry. The location of the centre of buoyancy relative to the centre of gravity. Fb =weight of fluid above surface 2 weight of fluid above surface 1. Where (cid:858) (cid:859) is the spe(cid:272)ifi(cid:272) (cid:449)eight a(cid:374)d (cid:858)v(cid:859) is (cid:448)olu(cid:373)e: fb = fluid vbody. Fb = displaced volume = floating body weight. If (cid:858)m(cid:859) is (cid:271)elo(cid:449) the (cid:272)e(cid:374)tre of gra(cid:448)ity (cid:894)(cid:374)egati(cid:448)e(cid:895) the(cid:374) the o(cid:271)je(cid:272)t is u(cid:374)sta(cid:271)le. If m is on g then it(cid:859)s (cid:374)eutral. To calculate mg: mg is the distance between the metacentre and the centre of gravity, gb is the distance between the centre of gravity and the centre of buoyancy. Io is the area moment of inertia at the waterline: v is the submerged volume, mg = .

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