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Analytical mechanics for students of physics and engineering (1913)

Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 28

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he given vectors are in the same plane the parallelopiped reducesto a n ctangle. 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 th<vectors. 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+ • • • ,1 ry=ay+by+cy+ • • •, rz = as + 6, + c, + • • • . |Equations (5) determine r through the…

Mechanics, Analytic

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