Compute the coordinates of the centroid (x, y) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid.
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- Compute the coordinates of the centroid (x, y) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid. C a *b*a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 40 cm 23 сm 49 cm The x coordinate of the centroid is x cm. The coordinate of the centroid is y cm. The moment of inertia about the x' axis going through the centroid is I,' cm4. The moment of inertia about the y' axis going through the centroid is I," cm4.Compute the coordinates of the centroid (x, y) of the area shown. Also compute the area moment of intertia about the x' axis that passes through the centroid. 2013 Michael Swanbom cc 040 BY NC SA a | | d b жоже c * x Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 38 mm b 16 mm с 17 mm d 74 mm The У coordinate of the centroid is y mm. The moment of inertia about the x' axis going through the centroid is I' mm4.In civil construction it is very common to use L sections, angle, for comer pillars. Calculate the center of gravity L drawn below, informing the x coordinates with respect to the y axes and the Moment of Inertia Ix and Iy with respect to this center of gravity. Consider as measurements in centimeters, where: = 60 b= 90 Note: use Steiner's theorem 50 a 20
- 19:49 wamap.org Compute the coordinates of the centroid (x, y) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid. ул C 2013 Michael Swanbom cc 130 f a Variable Value 38 cm 18 cm 74 cm a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. a b C The x coordinate of the centroid is x cm. The y coordinate of the centroid is y The moment of inertia about the x' axis going through the centroid is I' cm4. cm. The moment of inertia about the y' axis going through the centroid is I' cm4.Compute the coordinates of the centroid (E, 9) of the area shown. Also compute the area moment of intertia about the z' and y' axes with origin at the centroid. 2013 Michael Swanbom BY NC SA + C *b * a d a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 42 cm 18 cm 81 cm The z coordinate of the centroid is z = cm. The y coordinate of the centroid is j cm. The moment of inertia about the a'axis going through the centroid is I, cm*. The moment of inertia about the y' axis going through the centroid is Iy cm*.Compute the coordinates of the centroid (a, y) of the area shown. Also compute the area moment of intertia about the x' and y' axes with origin at the centroid. 2013 Michael Swanbom cc 9O BY NC SA C a – b a Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 38 cm 19 cm 42 cm The x coordinate of the centroid is a cm. The y coordinate of the centroid is y cm. The moment of inertia about the x' axis going through the centroid is Ip' cm4. The moment of inertia about the y' axis going through the centroid is I,' cm4. ||
- Compute the coordinates of the centroid (z, 9) of the area shown. Also compute the area moment of intertia about the z' and y' axes with origin at the centroid. 2013 Michael Swanbom BY NC SA a W. k d Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value 6 mm 28 mm 7 mm 13 mm h 33 mm 5 mm w The z coordinate of the centroid is a = mm. The y coordinate of the centroid is j = 26.74 mm. The moment of inertia about the z' axis going through the centroid is I, mm*. The moment of inertia about the y' axis going through the centroid is Iy mmt.3: Draw three projection of two bodies shown. and write dimensions 30 30 90 60 R30 20 15 R15 20 60 60 120 80 HW-9Compute the coordinates of the centroid (î, g) of the area shown. Also compute the area moment of intertia about the r' and y' axes with origin at the centroid. 2013 Michael Swanbom cc BY NC SA a k-d Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 14 mm 111 mm 12 mm d 45 mm h 89 mm w 22 mm The z coordinate of the centroid is a = mm. The y coordinate of the centroid is j mm. The moment of inertia about the z' axis going through the centroid is Iz mm. The moment of inertia about the y' axis going through the centroid is Iy = mm*.
- For the area below, evaluate 1. The (x,y) coordinates of the centroid (please mark your origin or reference point on the diagram) 2. The 2nd moments and product of area in centroidal-based xy (horizontal-vertical) coordinates 3. The principal 2nd moments of area, and the direction of the first principal axis relative to the horizontal (x) axis (anticlockwise positive) 50 75 30 150 60 50 15 Figure 1: Cross section (all dimensions in mm) Quantity Xc (please mark your origin on the diagram) Yc (please mark your origin on the diagram) Ix ly Ixv I₁ I₂ a1 (please show the direction) Value 30 UnitsCompute the coordinates of the centroid (a, g) of the area shown. 2013 Michael Swanbom BY NC SA a k d → Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. Variable Value a 4 mm b 22 mm 5 mm d 9 mm h 26 mm w 3 mm The a coordinate of the centroid is ā = mm. The y coordinate of the centroid is j mm.In the area of the shaded region below, calculate the following: a.) Location of Centroid from x and y axis as shown b.) The moment of inertia with respect to y axis as shown, ly 5+2b+2a All units in cm STUDENT NO CODE: 20XX-XABCDE (EX. 2016-083701, A=8, B=3, C-7, D=0, E-1) r=2+e r=3+c+2d