An elementary treatise on analytic mechanics : With numerous examples (1912)
Bowser, Edward A. (Edward Albert), 1845-1910 · New York : D. Van Nostrand · leaf 152
Hence (1) becomes, since the density isuniform, / I jx dx dy dz*^o t7o ^o / / / \lxdydzVQ t/o ^o ■OH-S-ff** a? = r(-3 6?a? « = f«. Similarly y = \b, z = §c. 2. Find tht centre of gravity of the solid bounded by theplanes z = $x, z ^ yx, and the cylinder y2 = lax — a;2. Jji*. x = fa; y = 0; £ = —… … (1) Through the axis of z drawa series of consecutive planes, divid-ing the solid into wedge-shapedslices such as COBA. (2) Round the axis of z describea series of right cones with theirvertices at 0, thus dividing eachslice into elementary pyramids likeO-PQST. (3) With 0 as a centre describea…
Mechanics, Analytic
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