Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 29
or which has the same direction as the original vec-tor. If, in the equation b= ma. m be a scalar then b has thesame direction as a but its magnitude is m times thai of a. 12 ANALYTICAL MECHANICS ILLUSTRATIVE EXAMPLE. A man walks 3 miles X. 30° E., then one mile 1 ■:.. then 3 miles S. 45° E.,then 4… … Fig. 13. In order to find r analytically we first determine its components. Thus rx = [3 cos (60°) + cos (0°) + 2 cos (-45°) + 4 cos (-90°)+ cos (120°)] miles= (2 + V2) miles= 3.41 miles.r„ = [3 sin (00°) + sin (0°) + 2 sin (-45°) + 4 sin (-90°)-r-sin (120°)] miles= (2V3 -V2-4) miles = —1.95 miles.…
Mechanics, Analytic
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