A bronze bushing is mounted inside a steel sleeve. Knowing that the specific weight of bronze is 0.318 lb/in3 and of steel is 0.284 lb/in3, determine the location of the center of gravity of the assembly. It is given that d= 0.23 in. -1.125 in. XAN -0.75 in. -1.80 in.- The center of gravity of the assembly is: X: Y TL Z: ZE 1.00 in. in. in. in. 0.40 in. X

Chemistry
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ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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**Problem Statement:**

A bronze bushing is mounted inside a steel sleeve. Knowing that the specific weight of bronze is \(0.318 \, \text{lb/in}^3\) and of steel is \(0.284 \, \text{lb/in}^3\), determine the location of the center of gravity of the assembly. It is given that \(d = 0.23 \, \text{in.}\)

**Diagram Explanation:**

The diagram depicts a cross-sectional view of the assembly with a bronze bushing centered inside a steel sleeve. The dimensions are as follows:

- The total width of the assembly is \(1.80 \, \text{in.}\)
- The bronze bushing has a central width of \(1.125 \, \text{in.}\)
- The steel sleeve extends beyond the bronze bushing by \(0.675 \, \text{in.}\) on each side.
- The thickness of the bronze bushing is shown as \(d = 0.23 \, \text{in.}\)
- The overall height of the assembly is \(1.40 \, \text{in.}\), consisting of two sections: the central bushing at \(1.00 \, \text{in.}\) and the sleeve extending \(0.40 \, \text{in.}\) beyond the bushing.

**Axes Description:**

- The \(x\)-axis runs horizontally along the base of the assembly.
- The \(y\)-axis runs vertically through the center of the assembly.
- The \(z\)-axis is shown perpendicular to the \(x\) and \(y\) axes, intersecting the center of the assembly.

**Center of Gravity Calculation:**

The objective is to determine the \(X\), \(Y\), and \(Z\) coordinates of the center of gravity for the entire assembly. Spaces are provided to fill in these values:

- \( \bar{X}: \) \_\_\_\_ in.
- \( \bar{Y}: \) \_\_\_\_ in.
- \( \bar{Z}: \) \_\_\_\_ in.
Transcribed Image Text:**Problem Statement:** A bronze bushing is mounted inside a steel sleeve. Knowing that the specific weight of bronze is \(0.318 \, \text{lb/in}^3\) and of steel is \(0.284 \, \text{lb/in}^3\), determine the location of the center of gravity of the assembly. It is given that \(d = 0.23 \, \text{in.}\) **Diagram Explanation:** The diagram depicts a cross-sectional view of the assembly with a bronze bushing centered inside a steel sleeve. The dimensions are as follows: - The total width of the assembly is \(1.80 \, \text{in.}\) - The bronze bushing has a central width of \(1.125 \, \text{in.}\) - The steel sleeve extends beyond the bronze bushing by \(0.675 \, \text{in.}\) on each side. - The thickness of the bronze bushing is shown as \(d = 0.23 \, \text{in.}\) - The overall height of the assembly is \(1.40 \, \text{in.}\), consisting of two sections: the central bushing at \(1.00 \, \text{in.}\) and the sleeve extending \(0.40 \, \text{in.}\) beyond the bushing. **Axes Description:** - The \(x\)-axis runs horizontally along the base of the assembly. - The \(y\)-axis runs vertically through the center of the assembly. - The \(z\)-axis is shown perpendicular to the \(x\) and \(y\) axes, intersecting the center of the assembly. **Center of Gravity Calculation:** The objective is to determine the \(X\), \(Y\), and \(Z\) coordinates of the center of gravity for the entire assembly. Spaces are provided to fill in these values: - \( \bar{X}: \) \_\_\_\_ in. - \( \bar{Y}: \) \_\_\_\_ in. - \( \bar{Z}: \) \_\_\_\_ in.
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