An elementary treatise on mechanics, embracing the theory of statics and dynamics, and its applications to solids and fluids (1849)
Smith, Augustus William, 1802-1866 · New York, Harper · leaf 274
center of gravity and that of the partimmersed will lie in the same vertical section; and, further,that the center of gravity of the body will be at the center ofgravity of the section, and the center of gravity of the im-mersed part at the center of gravity of its section. Also, theratio of the… … Let ABC, Fig. 1, be agenerating section whenonly one angle is im-mersed, and Fig. 2 whentwo angles are immersed.LetAB=c,AC=6,BC=a,AQ=£, AP=y, and let a bethe ratio of the density ofthe solid to that of the fluid. Now from (142) we have, in Fig. 1, AQP__±xy sin. A_xyABC ~ Ibc sin. A ~~ be o= In Fig.…
Mechanics, Analytic
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