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
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.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
Related questions
Question
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1c57bbad-bcbf-439f-91f2-bc239232b0c7%2F1388ba69-17c0-48bb-b93f-397460821414%2F1g41dxg_processed.png&w=3840&q=75)
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.
Expert Solution
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Step 1: Write the given data and what is to find
1 structures.
To find:
(a) Draw free-body diagram of each.
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