Chapter 9, Problem 42P

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

Find the centroid of the truncated parabolic complement by integration.

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

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

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

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.

Use numerical integration to locate the centroid of the symmetric plane

Using the method of composite areas, find the dimension h that maximizes the centroid coordinate y of the plane region shown.

Locate the center of gravity of the hammer if the mass of the steel head is 0.919 kg, and the mass of the hardwood handle is 0.0990 kg.