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Problem 6-5 (page 256)

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Determine the location (x’,y’) of the centroid of the shaded area.

Solution:

Determine the distance y’ to the center of gravity of the volume. The material is homogeneous.

Solution:

Determine the location (x’,y’) of the centroid of the area.

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:

Determine the moment of inertia of the shaded area about the x axis.

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:

Determine the distance y’ to the centroid of the plate area.

Solution: