4. Compute for the centroid, C = (X,Y), and the moment of inertia about the centroidal axis of the composite figure shown below. 60 mm 60 mm

Assume the piece of wood in the y-direction is centered with the other piece of wood. Find centroid x and y, and moment of inertia Ix

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.

3. Consider the following shape with a = 1 ft and b = 3 ft. a. Determine the centroid. b. Determine the moment of inertia about the horizontal centroidal axis Determine the moment of inertia about the vertical centroidal axis. c. a b

find1. The principal axes through the centroid of the section 2. principle moments of inertia

PROBLEM 4: The region is symmetric about the x-axis. Calculate the moment of inertial about the centroidal x and y axes. ANS: I = 10.35 x 106 mm², I = 1.74 × 106 mm² 17 mm y 68 mm 17 mm 18'mm 27 mm --x

16 in. 20 in. r = 38 in. x In the fig. shown, compute the following: (a) Components of the centroid ; y = (b) The total moment of inertia with respect to the centroidal y axis lý = in4

Determine the centroid of the given figure. 120 mm 60 mm 40 mm 80 mm 60 mm O x = 55.45 mm and y = 35.65 mm %3D O x = 53.70 mm and y = 37.70 mm O x = 56.83 mm and y = 37.62 mm O x = = 54.10 mm and y = 36.30 mm O x = 53.56 mm and y = 35.63 mm O x = 56.80 mm and y = 37.10 mm O x = 55.76 mm and y = 36.65 mm O x = 54.80 mm and y = 36.60 mm

PROBLEM 4: The region is symmetric about the x-axis. Calculate the moment of inertial about the centroidal x and y axes. ANS: 1x = 10.35 × 106 mm², I₁ = 1.74 × 106 mm² 17 mm y 68 mm 17'mm 18 mm 27 mm x

Find the moment of inertia about the centroidal x axis for the composite area shown below. y y = x²/3 6 in 5 in 2 in 5 in 3 in 4 in 12 in mm 2 in x