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 78
- dy1f -\/dx2 + dy* Vi fy^/dx1^ dy f^d^TW (33.) Centre of Gravity of an arc of a circle.66. Let AB C be the arc, 0 the origin of co-ordinatesand centre of the circle, OX the axis ofabscissas, perpendicular to the chord ofthe arc, and OY the axis of ordinates.Since the arc is symmetrically… … Differentiating, x2 + 2/2 = r*. 2xdx + 2ydy = 0 <&> = ^df Substituting in the first of Formulas (33), and reducing,we find, frdy f rdy Vr*-y> Integrating both numerator and denominator between thelimits y = — £c, and y = -f |c, we have, + ic frdy —. re rr I MECHANICS. and, I rely = r…
Mechanics
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