An elementary treatise on analytic mechanics : With numerous examples (1912)
Bowser, Edward A. (Edward Albert), 1845-1910 · New York : D. Van Nostrand · leaf 204
isites of a GoodBalance.—Let P and W be the weights in the scale-pans ;Q the fulcrum ; h its distancefrom the straight line, AB,which joins the points of at-tachment of the scale-pans to the beam; (I the centre of gravity of the beam ; and letAB be at right angles to 00, the line joining the… … on the direction of P = a cos 6 — h sin 0; W= a cosd + h sin 0; tv = k sin 6 ; therefore taking moments round 0 we have P (a cos 6—h sin 6)— W (a cos d + h sin &)—wk sin 6 = 0 ; tan 6 (P—W)a(P + W) h + wJc (1) This equation determines the position of equilibrium. Thefirst requisite—the…
Mechanics, Analytic
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