A shaft, lever, and handle, welded together, with a combined point G, supported by a thin link, CD, and two journal bea single FRD for the combined rigid body shaft + lever + hand

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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A shaft, lever, and handle, welded together, with a combined mass of 20 kg acting at point G, supported by a thin link, CD, and two journal bearings, A and B. (Draw a single FBD for the combined rigid body shaft + lever + handle.)

### Problem Statement:

**b.** A shaft, lever, and handle, welded together, with a combined mass of 20 kg acting at point \( G \), supported by a thin link, \( CD \), and two journal bearings, \( A \) and \( B \). Draw a single FBD for the combined rigid body shaft + lever + handle.

### Diagram Explanation:

The diagram illustrates a mechanical system composed of a shaft, lever, and handle that are welded together. Key features and dimensions include:

- **Journal Bearings:** 
  - **A and B:** These are the supports for the shaft. The shaft is horizontal and is mounted on bearings \( A \) and \( B \).
  
- **Link \( CD \):**
  - A thin link connected from point \( C \) on the shaft to point \( D \). It is an angled support for the system.
  - **Length Information for Link CD:**
    - \( CD \) is 15 inches long.
    - The vertical distance from \( D \) to the shaft's line is 10 inches.
    - The horizontal distance from \( C \) to \( D \) perpendicular to \( AB \) is noted as 2 inches.

- **Dimensions Along the Shaft:**
  - The distance from \( A \) to \( B \) is 12 inches.
  - Point \( G \) is located 5 inches from bearing \( A \).
  - Point \( C \) is located 4 inches from the left end of the shaft (bearing \( A \)).
  - The overhang beyond bearing \( B \) is not dimensioned but is suggested visually.

- **Moments and Forces:**
  - A moment of 50 lb-in is applied at a section marked by a handle near the left of the diagram.
  - The combined weight \( w = mg \) acts downward at point \( G \).

- **Coordinate System:**
  - The shaft's orientation is aligned with the \( z \)-axis, while the vertically downward direction and the extension of link \( CD \) define upward and angled dimensions. An \( xy \) plane is indicated with \( x \) running horizontally and \( y \) vertically.

This information can be used to draw a free-body diagram (FBD) which helps in analyzing the forces and moments acting on the system.
Transcribed Image Text:### Problem Statement: **b.** A shaft, lever, and handle, welded together, with a combined mass of 20 kg acting at point \( G \), supported by a thin link, \( CD \), and two journal bearings, \( A \) and \( B \). Draw a single FBD for the combined rigid body shaft + lever + handle. ### Diagram Explanation: The diagram illustrates a mechanical system composed of a shaft, lever, and handle that are welded together. Key features and dimensions include: - **Journal Bearings:** - **A and B:** These are the supports for the shaft. The shaft is horizontal and is mounted on bearings \( A \) and \( B \). - **Link \( CD \):** - A thin link connected from point \( C \) on the shaft to point \( D \). It is an angled support for the system. - **Length Information for Link CD:** - \( CD \) is 15 inches long. - The vertical distance from \( D \) to the shaft's line is 10 inches. - The horizontal distance from \( C \) to \( D \) perpendicular to \( AB \) is noted as 2 inches. - **Dimensions Along the Shaft:** - The distance from \( A \) to \( B \) is 12 inches. - Point \( G \) is located 5 inches from bearing \( A \). - Point \( C \) is located 4 inches from the left end of the shaft (bearing \( A \)). - The overhang beyond bearing \( B \) is not dimensioned but is suggested visually. - **Moments and Forces:** - A moment of 50 lb-in is applied at a section marked by a handle near the left of the diagram. - The combined weight \( w = mg \) acts downward at point \( G \). - **Coordinate System:** - The shaft's orientation is aligned with the \( z \)-axis, while the vertically downward direction and the extension of link \( CD \) define upward and angled dimensions. An \( xy \) plane is indicated with \( x \) running horizontally and \( y \) vertically. This information can be used to draw a free-body diagram (FBD) which helps in analyzing the forces and moments acting on the system.
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