3 in.. Fig. P5.120 1.6 in. 4 in. 2.5 in.
Chapter2: Loads On Structures
Section: Chapter Questions
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
Transcribed Image Text:**Problem 5.120: Center of Gravity Calculation**
A brass collar with a length of 2.5 inches is mounted on an aluminum rod that has a length of 4 inches. Determine the center of gravity of the composite body.
The specific weights of the materials are:
- Brass: 0.306 lb/in³
- Aluminum: 0.101 lb/in³
To solve this problem, one must calculate the individual weights of the brass collar and the aluminum rod by using their specific weights and volumes, then determine the weighted average position of these components to find the center of gravity of the entire assembly.

Transcribed Image Text:### Figure P5.120: Composite Object Dimensions
**Description:**
The diagram illustrates a three-dimensional composite object consisting of three parts: a cylinder, a washer, and a base square plate.
**Components:**
1. **Cylinder:**
- Diameter: 1.6 inches
- Height: 4 inches
2. **Washer:**
- Located below the cylinder
- Height: 2.5 inches (measured from the base of the washer to the top of the cylinder)
3. **Square Base Plate:**
- Each side: 3 inches
**Notes:**
- The overall structure is a combination of a smaller cylinder sitting on top of a larger cylindrical washer, which is itself on a square base.
- When examining the height dimensions, note that the cylinder's height is measured from the top of the washer, not the square base.
This figure can be used in engineering or geometry studies to analyze the dimensions and volume calculations of composite shapes.
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