Chapter 9, Problem 45P

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

Use numerical integration to locate the centroid of the symmetric plane

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

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

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.

Use integration to locate the centroid of the shaded region in terms of R and t. (b) Show that when t0 the result of part (a) agrees with that given in Table 8.2 for a quarter circular arc.

Show that every axis passing through the centroid of the equilateral triangle is a principal axis.

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.