Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch. [from old catalog] · New York, D. Van Nostrand company · leaf 13
f the givenvectors. 11. Analytical Expression for the Resultant of Two Vectors.— Let a and b, Fig. 5, be two vectors and c their result- 6 ANALYTICAL MECHANICS ant. Then3 solving the triangle formed by these vectors,we obtain and c2 = a2+b2+2abcos<t>b sin <f> tan 6 = a-\-b cos 0 (ii)an)… … Fig. 5. Fig. 6. Special Cases, (a). If a and b have the same direction,as in Fig. 6a, then 0 = 0. Therefore and c2 = a2+b2+2ab,tan (9 = 0, c = a + 6,0 = 0. Thus c has the same direction as a and b, while its magni-tude equals the arithmetical sum of their magnitudes. (b). When a and b are…
Mechanics, Analytic
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