2. A 200-mm lever and a 240-mm pulley are welded to the axel BE that is supported by bearings at C and D. Assume that the bearing at D does not exert any axial thrust. A 720-N vertical force is applied at A when the lever is horizontal. Determine (a) the tension, T, in the cord, and (b) the reactions at C and D. Ans: T = 1200 N, C = 400î +1200ĵ N, D=-1600î – 480ĵ N !! y 40 mm
2. A 200-mm lever and a 240-mm pulley are welded to the axel BE that is supported by bearings at C and D. Assume that the bearing at D does not exert any axial thrust. A 720-N vertical force is applied at A when the lever is horizontal. Determine (a) the tension, T, in the cord, and (b) the reactions at C and D. Ans: T = 1200 N, C = 400î +1200ĵ N, D=-1600î – 480ĵ N !! y 40 mm
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
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![### Problem Statement
A 200-mm lever and a 240-mm pulley are welded to the axle \( BE \) that is supported by bearings at \( C \) and \( D \). Assume that the bearing at \( D \) does not exert any axial thrust. A 720-N vertical force is applied at \( A \) when the lever is horizontal. Determine (a) the tension, \( T \), in the cord, and (b) the reactions at \( C \) and \( D \).
**Answer:**
\[
T = 1200 \, \text{N}, \quad \vec{C} = 400 \hat{\imath} + 1200 \hat{\jmath} \, \text{N}, \quad \vec{D} = -1600 \hat{\imath} - 480 \hat{\jmath} \, \text{N}
\]
### Diagram Explanation
The diagram illustrates a setup with a lever and a pulley:
- **Lever:** The lever \( AB \) is 200 mm in length and is positioned horizontally. A 720-N vertical force is applied downward at point \( A \).
- **Pulley:** The pulley is 240 mm in diameter. Point \( E \) on the axle \( BE \) is where the tension \( T \) acts horizontally, 120 mm from the center of the axle.
- **Body and Supports:** The axle \( BE \) is supported by bearings at points \( C \) and \( D \). The distances between these points are:
- \( BC = 80 \) mm
- \( CD = 120 \) mm
- \( DE = 40 \) mm
- **Coordinate System:** The coordinate axes \( x, y, \) and \( z \) are established for reference.
The analysis involves calculating the forces and moments around these points to determine the required tension and reactions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2c92bfa8-de7b-4872-bcff-5b3a3db686c0%2F8f91e0af-b5f5-40e6-9137-3b360838dfdc%2Fodq7txn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem Statement
A 200-mm lever and a 240-mm pulley are welded to the axle \( BE \) that is supported by bearings at \( C \) and \( D \). Assume that the bearing at \( D \) does not exert any axial thrust. A 720-N vertical force is applied at \( A \) when the lever is horizontal. Determine (a) the tension, \( T \), in the cord, and (b) the reactions at \( C \) and \( D \).
**Answer:**
\[
T = 1200 \, \text{N}, \quad \vec{C} = 400 \hat{\imath} + 1200 \hat{\jmath} \, \text{N}, \quad \vec{D} = -1600 \hat{\imath} - 480 \hat{\jmath} \, \text{N}
\]
### Diagram Explanation
The diagram illustrates a setup with a lever and a pulley:
- **Lever:** The lever \( AB \) is 200 mm in length and is positioned horizontally. A 720-N vertical force is applied downward at point \( A \).
- **Pulley:** The pulley is 240 mm in diameter. Point \( E \) on the axle \( BE \) is where the tension \( T \) acts horizontally, 120 mm from the center of the axle.
- **Body and Supports:** The axle \( BE \) is supported by bearings at points \( C \) and \( D \). The distances between these points are:
- \( BC = 80 \) mm
- \( CD = 120 \) mm
- \( DE = 40 \) mm
- **Coordinate System:** The coordinate axes \( x, y, \) and \( z \) are established for reference.
The analysis involves calculating the forces and moments around these points to determine the required tension and reactions.
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