Notes and examples in mechanics; with an appendix on the graphical statics of mechanism; (1903)
Church, Irving P. (Irving Porter), 1851-1931 · New York, J. Wiley & sons; [etc., etc.] · leaf 64
tation of co-ordinates of centres ofgravity of actual plate and complete fig. 61. trapezoid, denoting those of the semicircle by x^ and y^. Re-quired x^ and y^, using the inch as linear unit. The area of thetrapezoid is i^ = ^ X 6 X (10 + 16) = 78 sq. in.; that of thesemicircle is F, = k^ti^Y =… … 56 NOTES AND EXAMPLES IN MECHANICS. = 8 in.; while (see p. 23, M. of E.) y = ^ o 6 16 + 20 = 2.77 in.; 16 + 10 and x= OD — ^X 2.77 = 7.54 in. {C bisects the base JI/iT; conceive perpendiculars let fallfrom C and ^ upon OK, and use the similar triangles so formedin obtaining the value of x.) From…
