Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch. [from old catalog] · New York, D. Van Nostrand company · leaf 18
. + ; ■ •)• (3) But since the directions of the coordinate axes are indepen-dent, the components of r along any one of the axes must ADDITION AND RESOLUTION OF VECTORS 11 equal the sum of the corresponding components of the givenvectors. Therefore (3) can be split into the following threeseparate… … Fig. 12. tude of their resultant. This result may be extended toany number of parallel vectors. Therefore we can put thevector equations of (4) into the following algebraic forms. rx = ax+bx + cx+ - • • , ry = ay + by+ cy+ - • - , ■ (5) rz = az + bz + cz + • • • . Equations (5) determine r through…
Mechanics, Analytic
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