1. Problem 6-5 (page 256) Solution:
Determine the location (x’,y’) of the centroid of the shaded area.
Solution:

2. Problem 6-20 (page 259) Solution:
Determine the distance y’ to the center of gravity of the volume. The material is homogeneous.
Solution:

3. Problem 6-25 (page 263) Solution:
Determine the location (x’,y’) of the centroid of the area.
Solution:

4. Problem 6-35 (page 265) Solution:
Determine the distance x’ to the center of gravity of the generator assembly. The weight and the center of gravity of each of the various components are indicated below. What are the vertical relations at blocks A and B needed to support the assembly?
Solution:

5. Problem 6-35 (continued)

6. Problem 6-76 (page 289) Solution:
Determine the moment of inertia of the shaded area about the x axis.
Solution:

7. Problem 6-82 (page 293) Solution:
The composite beam consists of a wide-flange beam and cover plates welded together as shown. Determine the moment of inertia of the cross-sectional area with respect to a horizontal axis passing through the beam’s centroid.
Solution:

8. Problem 6-95 (page 295) Solution:
Determine the distance y’ to the centroid of the plate area.
Solution: