Chapter 9, Problem 66P

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

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

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

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

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 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.

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.