Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 98
t. ve the relation v = Vx2 + y 2 + i2. 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, a) Vr ill The expression for the velocity at right angles to r is ob-tained by considering the… … The components vr and vp may be expressed in terms of xand y by differentiating the equations of transformation r2=a;2+ya (3) A (4) and 6 = tan 82 ANALYTICAL MECHANICS with respect to the time. Differentiating (3) we obtaindrV=dt_x dx y dyr dt r dt= i cos 0 + ?/sin 0. (5) Differentiating (4) we get…
Mechanics, Analytic
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