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Determine the centroid of the shaded area shown in Figure, which is bounded by the x-axis, the line x = a; and the parabola y2 = kx.

Question-Answer › Category: Strength of Materials › Determine the centroid of the shaded area shown in Figure, which is bounded by the x-axis, the line x = a; and the parabola y2 = kx.
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DME asked 12 months ago

Exercise 1: Determine the centroid of the shaded area shown in Figure, which is bounded by the x-axis, the line x = a; and the parabola y2 = kx.

Exercise 1: Determine the centroid of the shaded area shown in Figure, which is bounded by the x-axis, the line x = a; and th

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Mazurek Gravity answered 12 months ago

O This is Parabola, with equation yake. At point carb), satisfies y kx. : 6² ka. Thus, root on both sides, Taking square ly=bTo get shaded area, integrate on both sides (JA (bre de z ab(1) Location of centroid from y-aus. x da. da 21 h [from et -96 2X 93/2 Color 5/ 27 Zxq3/2 5Xq3/2 3a.(2ab3 (2013) (2ab/3) ab² (zab 3) (2ab/3) J = 36 Thus, centroidce) is located at (39) from y-aris and (36) from x-axis
 

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