PROBLEM 3: Compute the moment of inertia of the region about the centroidal x-axis. ANS: 6230 in Dimensions in inches 18 2 X

4 cm -10 cm Calculate the moment of inertia l, in the coordinate set (x,y) placed at the center of gravity of the section given 4 cm 10 om M in the figure. Write the result by rounding to the nearest whole number and specifying the unit. y5.5 cm

For the following area, determine: a) the coordinates of the geometric center of the area taking the axes shown in the figure as a reference. Consider b = 36 cm.Adopt π = 3.14159. b) the moments of inertia about the axes that pass through the geometric center of the area. (IxCG = IyCG in cm4)

Example: For the following shaded area find the moment of inertia with respect to x-axis. 240 mm 30mm B0mm 300mm 30mm

Find the moment of inertia of the complex 2D lamina as shown in the figure. All dimensions are in 'mm'. A R30 09 Ø30

:Answer the following questions Q1: Compute the moment of inertia about the x-axis and the polar radius of gyration about 0 for the area shown. 20 20 20 20 Dimensions in millimeters

4) Calculate the moment of inertia Ix for the shaded area given below. Ay 10 cm r=10 cm 19 ➤x

100 mm 20 mm yo 140 mm 20 mm 20 mm - 100 mm Determine the moments of inertia of the Z-section about its centroidal x and y axes. Consider x - axis to be at the extreme bottom of the figure and y - axis at the left most of this figure.

For the section below: а. Determine the moment of inertia with respect to the X-axis. b. Determine the moment of inertia with respect to the Y-axis. C. Determine the moment of inertia with respect to the X'-axis. 40 mm 80 80 30° tw = 40 mm 40 mm 200 mm 9. 300 mm 220 mm

Figure Q9 shows the shaded area with the equation given. Calculate: y a) the moment of inertia of the shaded area about the x axis. 2 m - y² = 2x b) the moment of inertia of the shaded area about the y axis. 2 m Figure Q9