Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 96
= ae~*. 2. Prove the relation v = Vx^ + y^ + z^- 81. Radial and Transverse Components of Velocity, — Themagnitude of the velocity along the radius vector is, accord-ing to the results of the preceding section, dr (1) The expression for the velocity at right angles to r is ob-tained by considering… … Fig. 50. The components Vr and Vj, may be expressed in terms of xand y by differentiating the equations of transformation and fl=tan-i- X (3)(4) 82 ANALYTICAL MECHANICS with respect to the time. Differentiating (3) we obtain dr Vr = dt _x dx ydyr dt r dt= xcose + ysiD.e. Differentiating (4) we get…
Mechanics, Analytic
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