Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 97
-yxx^ + y^= y cos d — X sin t These components satisfy the relation (5) (6) (7) ILLUSTRATIVE EXAMPLE. A particle describes the motion defined by the equations X = a cos kt, (a) and y = a sin kt. (b) Find the equation of the path, the velocity at any instant, and the com-ponents of the latter.… … Fig. 51. MOTION 83 Therefore v = y/i? + jr2 = ka. Thus the particle describes a circle with a constant speed ka. The direc-tion of the velocity at any instant is given by the relation tan 0 = ^ z = -l.x The components w, and Wp may be obtained at once by remembering, (1)that the radius vector is…
Mechanics, Analytic
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