Locate the centroid of the volume generated by revolving the area shown about the line AB. Use numerical integration.

Determine the centroidal coordinates of the plane region by numerical integration.

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

Determine the moment of inertia of the beam's cross-sectional area about the centroidal y axis. Take that a a 50 mm a -50 mm = 250mm and b = 160mm.

​​​​​​​Determine the moments of inertia about the centroid of the shape

Determine the y-bar centroid of the shaded area. Then, determine the area moment of inertia about the X- X axis for the shaded area. Given a = 122 mm %3D b = 67 mm C = 110 mm d = 70 mm R = 32 mm

Find the moment of inertia about centroidal XX axis Width 6 m Depth=10 m

H6. Find the position of the cross-section’s centroid. Then, determine the moments of inertia of horizontal & vertical axes through the centroid.   (I'm not sure if the width of the verticle rectangle is needed or not. If it is, assume 5 mm.)

Find the centroid of the region in the first quadrant bounded by the x-axis, the parab y=2x, and the line x +y = 4. Find the moment of inertia about the x-axis of a thin plate bounded by the parabola y and the linex+y =0 if 8(x, y) = x + y.