Mechanics of engineering. Comprising statics and dynamics of solids: and the mechanics of the materials of constructions, or strength and elasticity of beams, columns, arches, shafts, etc (1888)
Church, Irving P[orter], 1851- [from old catalog] · New York, J. Wiley & sons · leaf 34
ntof such a strip has the same x. Now dF = (y -f- y)dx, and PARALLEL FORCES AND THE CENTRE OP GRAVITY. 21 from similar triangles y -f- y = j x. Hence F = <r (bh — bji^) can be written — 7 (A2 2Ab Ph A/), and x = - ^ becomes x*dx -f lb 2 A (A2 - h?) = 3 A2 - A, for the trapezoid. For a triangle… … Fig. 17. Fig. 18. that a line joining the middles of b and bl is a line of gravity;or joining O and the middle of b in the case of a triangle. Problem 3. Sector of a circle. Thin plate, etc.—Let thenotation, axes, etc., be as in Fig. 18. Angle of sector = 2a;x = ? Using polar co-ordinates, the…
Mechanics, Applied · Engineering · Strength of materials
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