Bartlett, W. H. C. (William Holms Chambers), 1804-1893 · New York : Barnes · leaf 127
x and Bx Bx\ we have A a = Axa — AXA, Bb = Bxb - BXB;multiplying each equation by P, P X A a = P X Axa - P X Ax A,P X Bb = P X Bxb - P X BXB. Now P X Ax a, and P X Bx b, are the quantities ofwork, on the supposition of a simple motion of translation 122 NATURAL PHILOSOPHY. alone, in the direc-tion… … B B P P X B^ B, measure the quantities of work due to the motion of Aand B, on the supposition of a simple motion of rotationabout 0, which have been shown to be equal, in the firstcase; whence, A^ A = BJB; and consequently, P x A a = P x B b. the work of the Thus, the relation given in § 112,…
Mechanics · Acoustics · Optics
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