Chapter 9, Problem 43P

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

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.

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

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

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 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.

Compute the volume of the spherical cap that is formed when the circular segment is revolved about the y-axis.

The hemispherical glass bowl is filled with water. Find the location y of the center of gravity of the filled bowl. Approximate the bowl as a thin shell of radius R=6.15in. Use 1=162lb/ft3 for glass and 2=62.4lb/ft3 for water.