Compute the coordinates of the centroid (, ) of the area shown. лу ка a- | a b 2013 Michael Swanbom (сс 130 BY NC SA b 6*c+ 27 mm 15 mm с 12 mm d 42 mm The a coordinate of the centroid is The y coordinate of the centroid is y d с Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value mm. x mm.

For the section shown, find the centroid of the shaded area with respect to the XY axis. y 14 Diameter 10 10 8. - 10 14 %3D YG%3=

Y Given: X x1 x2 . x1 = 15.35 mm • x2 = 16.74 mm . x3 = 16.10 mm .y1 = 19.32 mm y2 = 20.55 mm y3 = 16.37 mm mie x3 sterren T y3 y2 y1 Find x & y centroid

Locate the centroid of the figure below from x and y axis. la 30 in b 17 in 10 in d 5 in le 18 in b X e a x2 - - y = 18 Answers: in y = in II

Determine the location of the centroid, as it relates to the x axis for the cross-sectional area shown.

8-7. A steel plate with holes cut in it is shown below. The plate has a thickness of t=6.35mm and density of 8000 g. Determine its centroid location using the bottom left corner as the origin. m Do M 7.46 cm 10.00 cm Figure 8-31 1.28 cm 4.91 cm 8.72 cm 5.83 cm [2.81 cm

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Compute the coordinates of the centroid (,) of the area shown. Also compute the area moment of intertia about the z' axis that passes through the centroid. 2013 Michael Swanbom лу b с d ©ci❀O BY NC SA k *b*c Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 12 mm 7 mm 7 mm 19 mm The coordinate of the centroid is The y coordinate of the centroid is The moment of inertia about the z' axis going through the centroid is I₂' = a d с mm. mm. x mm4.

Find Ix for the shape below: 2.0 2.0 Ix: Componen Ai 1.0 |ΣΑΙ = Yave = [Aiyi/[Ai = dy = Yave - yi = |lx = Elxi + [A(dy2) = 3.0 8.0 yi Aiyi = Aiyi [lxi = Ixi dy ZA(dy)= Ai(dy)

Consider the cross-sectional area shown. Suppose that h= 60 mm. Determine the location y of the centroid for the cross-sectional area.