Chapter 9, Problem 37P

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.

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.

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

Determine the y-coordinate of the centroid of the shaded area in terms of h. 1 h/2 h