Elements of mechanics: treated by means of the differential and integral calculus (1887)
Peck, William G[uy], 1820-1892. [from old catalog] · New York, Chicago, A. S. Barnes & company · leaf 203
, to move in the direction of thetangent AT; but, in consequence ofthe action of the centripetal force di-rected towards V, it is constrained todescribe the side ds in the time dt. If we draw B C parallel to A T, it will be perpendicular to thediameter AD, and AC will represent the space… … AC \fdf (122. From a property of right-angled triangles, we have, sinceAB = ds, ds = AC X AB ; or, ds = AC X 2r.Whence, AG = ~2r Substituting this value of AC in (122), and solving withrespect to /, 1 - dP r CURVILINEAR AND ROTARY MOTION. 199 ds2 But — = v2 (Art. 113), in which v denotes the…
Mechanics
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
