A text book of elementary mechanics, for the use of colleges and schools (1881)
Dana, Edward Salisbury, 1849-1935 · New York, J. Wiley & sons · leaf 103
(AC) is r. In a very short spaceof time (t) it will have gone from A to D, so that AD = vt. (1) 84 DYNAMICS. [78. But in this time it has been drawn away from the tan-gent toward the centre a distance equal to BD (or AH).Let/be the acceleration of the constant central force;then (60) AE = \ft\ (2)… … introducing into (3) the values given in (1) and (2), wehave v*f = iff X fir, or /= (4) This value of / (4) gives the acceleration due to theconstant force in terms of the velocity and the radius ofthe circle. From it we see that the value of / varies 79.] CENTRAL FORCES. 85 directly with the…
Mechanics
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