Analytical mechanics for students of physics and engineering (1913)
Dadourian, Haroutune Mugurditch, 1878- · New York, D. Van Nostrand company · leaf 159
Let dx dy be the area of the element of mass, then dm = a dx dy. Therefore substituting in equation (I) and introducing the proper limitsof integration we obtain 4£ 40 4Jr y ia 0 Xx ^y^^ Jo Jh. ^y^- 4a 40 r (2 Vm — bx) Xdx C \2ax — — xAdx 40 4£ ~ C (2 Vox — 6x) ia; C (2 V^ — 6a;)dx 8a ^ 2a 562… … Jf a-pdpdd rrp^smddpdB Jo Jo rcpdpdB Jo Jo4a x = 0. PROBLEMS. Fmd the center of mass of the lamina boimded by the following curves: (1) y = mx, y = — mx, and y = a. (2) y = asmx,y = 0, x = 0, and x = w. (3) y^ = ax and x = by. (4) x^ + 2/2 = o^, a; = 0, and 2/ = 0. (5) bV + ahf = aV, x = 0,a,ndy =…
Mechanics, Analytic
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