Chapter 9, Problem 69P

Use numerical integration to find the centroid of the volume generated 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 integration to find the centroidal coordinates for the volume obtained 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.

Find the centroid of the truncated parabolic complement by integration.

Locate the x and y coordinates of the centroid of the composite area shown in Figure. the missing dimension 17 m 3 m 6 m X - E m m –|

3. Locate the centroid of the plane area/line. Express answer in terms of a and b. y =

Determine the vertical distance H from the lower edge of the built-up wooden beam to the location of the centroid. 17" 1.50" 15" 1.50" 1.50" 11" Answer: H = i in.

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