Inside Out Library

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 205

An illustration from Elements of mechanics: treated by means of the differential and integral calculus, 1887, leaf 205
erical. Let A be any point on thesurface, PQP a meridiansection through A, PP theaxis, FQ the equator, andAB perpendicular to PP\the radius of the parallel oflatitude through A. Denotethe radius of the earth by r,the radius of the parallelthrough A by r\ and thelatitude of A, or the angleACQ, by I… … v : v whence, vr But, from the right-angled triangle CAP, since the angleat A is equal to 2, we have, r = rcosl. Substituting this value of r in the value of v\ and reducing, we have, v — v cosZ. CURVILINEAR AND ROTARY MOTION. 201 If we denote the acceleration due to the centrifugal forceat the…

Mechanics

Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.

More pictures from Elements of mechanics: treated by means of the differential and integral calculus

More like this