Locate the centroid x of the shaded area shown in Figure 2. 16 ft - y = (4 - x ²³ ) ² 4 ft- 4 ft ↓ X

Determine ỹ, which locates the centroidal axis x' for the cross-sectional area of the T-bar, and then find the moment of inertia of area about the x' axis. 75 mm 75 mm 20 mm 150 mm 20 mm

Determine the location in inches of the centroid of the gray section below with respect to the lower-left corner of the section. (Enter your answers to at least three significant figures.) lamke 4 in+ 8.2 in- 8.2 in > 4 in 5 in 19.4 in X = 16.5 X in 12.9 in Then compute the moments of inertia I, I, and J, in in“ for the section, where x' and y' denote axes through the centroid of the entire section. 595.3 X in4 in4 Jc %3D ing Finally, determine the radii of gyration k,, k," and k, in inches. in Ky. in in I| || ||

1. There exists a void area in the rectangle as shown, a) Find the location of the centroid, i.e., Y. b) Calculate the moment of inertial about Center line axis. c) Calculate the moment of inertia about axis A-A. 10 mm 15 mm 10 mm 10 mm 12 mm Center Line Center Line 40 mm Y = ? 17.5 mm 17.5 mm A