Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 99
d-x sin 0. (6) These components satisfy the relation v = Vr2+ r-b\ (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. Squaring and… … MOTION 83 Therefore v = Vx- + y- = k Vx- + if= 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 6 = I The components vr and vp may be obtained at once by remembering, (1)that the radius vector is constant:…
Mechanics, Analytic
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