For the composite area shown in the image below, if the dimensions are a=28mm, b=218mm, c=282mm, and d=148mm, determine its area moment of inertia Ix' (in 10^6 mm^4) about the centroidal horizontal x'-axis (not shown) that passes through point C. Have 2 places after the decimal point.

The rectangular area shown has a square hole cut from it. Calculate the moments of inertia of the area with respect to its X–X centroidal axis Please write work in a chart form!! Shape, area, Y, Ay, Ix, Dy, Ady^2

Find the centroid and moment of inertia of the following section

0.70 in 0.60 in [0.30 in 0.25 in 2.50 in |1.30 in 0.92 in 0.50 in 0.50 in -1.00 in 2.00 in Find the area moment of inertia for the composite shape shown about the centroidal x-axis.

4 Determine the second moments of area in mm* and the radii of gyration in millimeters for the shaded (pink) area with respect to the centroidal x'- and y'-axes. y' 68 mm 68 mm 68 mm 68 mm 68 mm 68 mm 98740460 4 mm %3D 4 mm ky mm mm II

Question 2 Calculate the following: i. The centroid ii. Moment of inertia of the channel section about the x'-axis 25mm 25m 100 mm 25 mm 25 mm 75mm 75mm 50mm 50mm' 100mm 25 mm

Q3- Locate the centroid of the shape cross-sectional area shown in figure below and find the moment of inertia of the given beam's cross-sectional area about the centroidal X-axis. 18 mm 12 mm- 36 mm 8 mm 60 mm 8 mm

Determine a set of principal axes and the corresponding principal moments of inertia of the beam's cross- sectional area shown in the figure below with respect to the beam's cross-sectional centroid, C. Indicate by means of a sketch the position of the principal axes with respect to the x-y axes. 60 mm C 20 mm 20 mm 10 mm 60 mm 10 mm 100 mm 10 mm