Chapter 9, Problem 46P

Use integration to find the centroidal coordinates for the volume obtained by revolving the area shown about the x-axis.

Using the method of composite areas, find the centroid of the truncated parabolic complement.

Compute the centroidal coordinates of the L-shaped region in terms of b and t using the method of composite areas.

Use numerical integration to find the centroid of the volume generated by revolving the area shown about the x-axis.

Use numerical integration to locate the centroid of the symmetric plane

The sheet metal trough has a uniform wall thickness. Determine the coordinates of its center of gravity.

Find the centroid of the truncated parabolic complement by integration.

Determine the dimension b of the square cutout so that Ixy=0 for the region shown.

The picture board and its triangular supporting bracket form a composite surface. Calculate the height h of the support that minimizes the centroidal z-coordinate of the assembly.