Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand Company · leaf 230
L 213 Similarly and = dV ds Hx = dVto Hy = dV ay H.= dz (IX) Therefore the component, along any direction, of the intensityat any point equals the rate at which the potential diminishesat that point as one moves along the given direction. ILLUSTRATIVE EXAMPLES. 1. Find the expressions for… … Fig. 107. andTherefore dm = <r • 2xo sin 6 • ad9,r = V(R - ocos0)2 + a2sin2£- Va2 + R2-2aRcosd. simdild rm(lm —»/. T fir Sill 7 (10 = -7r27ra-Jo Va» + i2* - 2 a« cos 0 - - ^|^ [(a + R* - 2 aR cos9)l]0 - - ^^[(a2 + 2a/2 + fi8)* - (a»- 2aR + «•)*]. There are two different cases which have to be…
Mechanics, Analytic
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