Elements of mechanics: for the use of colleges, academies, and high schools (1859)
Peck, William G. (William Guy), 1820-1892 · New York, A. S. Barnes & Burr · leaf 94
r breadth of the pillar by 2a,its height by x, and the weight of the pillar by W. Throughthe centre of gravity of the pillar draw the vertical A (7,and lay off A G equal to w; prolong PA and lay off AB equalto P; complete the parallelogram of forces ABB C, andprolong the diagonal till it intersects… … 92 MECHANICS. distance EG, draw DE perpendicular to AG. From thesimilar triangles ADE and AEG, we have, dE : AG : : BE : EG; EG AGy. DE AE But AG = as, P.E = Psina, and J.P= TF-f Pcosa,hence we have, TF + Pcosa And, since HG equals a, we have the following condi-tions for stability, indifference…
Mechanics
Internet Archive · Library of Congress · Public Domain Mark 1.0. Free to use for anything.
