Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 26
given vectors are in the same plane the parallelopiped reducesto a rectangle. ADDITION AND RESOLUTION OF VECTORS 11 dent, the components of r along any one of the axes mustequal the sum of the corresponding components of the givenvectors. Therefore (3) can be spht 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+ • • •r„ = ay+by+Cy+ ■ • ■r, = a^ + b^ + c,+ ---Equations (5) determine r through the following…
Mechanics, Analytic
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