Question

Determine the x-coordinate of the centroid of the shaded area. у - 2017 1 62 - b! - - - .

Answer 1

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Ans: as shown There are two areas involved here in the figure below: Y 4 KI2 ret ty q² 2 Az. b Ano .X 长一见习 Here, Az is the ellipse in Az is the first quadrant while A is a right angled angled triangle Area, h=1x bra and 2 A₂ = nxbxa 4

- centroid of Area A along direction is x = a - Centroid of Area Az along a direction is, X2 = 4 a 3 The centroid of the resultant geometry is given as, X = A₂X₂ -Axı A - =Tbax 4a Ibax a 4 3R Iba-iba = ba²%-ba% 0.7853ba-0.5ba = ba²/6 0.2853xba l: 7123 = 0.5840 a 2 3