40 mm 80 mm 120 mm 200 mm T E 120'mm 720 N B

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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A 200-mm lever and a 240-mm-diameter pulley are welded to the axle
BE, which is supported by bearings at C and D. If a 720-N vertical
load is applied at A when the lever is horizontal,

determine:

(a) the tension in the cord,

(b) the reactions at C and D. Assume that the
bearing at D does not exert any axial thrust.

The image depicts a mechanical setup with a rod, bearings, and a circular disk. The components are labeled as follows:

- **Rod AB** is horizontal along the z-axis. It experiences a downward force of 720 N at point A.
- **Distance from A to B** is 200 mm, and the section BC is 80 mm, where BC is the length between two bearings.
- The overall horizontal extent from B to E is 240 mm along the x-y plane, with segments: BC = 80 mm, CD = 120 mm, and DE = 40 mm.
- **Disk at E**: Positioned vertically, with its center 120 mm from point D along the x-axis. A tension, T, acts horizontally along the positive x-direction on the disk.
- **Bearings at C and D**: Support the shaft at respective distances from B.
- Axes: The x-axis is horizontal (right), the y-axis in the plane of the disk (upwards), and the z-axis vertical (downwards).

The diagram assists in understanding the distribution and directions of forces acting on the components.
Transcribed Image Text:The image depicts a mechanical setup with a rod, bearings, and a circular disk. The components are labeled as follows: - **Rod AB** is horizontal along the z-axis. It experiences a downward force of 720 N at point A. - **Distance from A to B** is 200 mm, and the section BC is 80 mm, where BC is the length between two bearings. - The overall horizontal extent from B to E is 240 mm along the x-y plane, with segments: BC = 80 mm, CD = 120 mm, and DE = 40 mm. - **Disk at E**: Positioned vertically, with its center 120 mm from point D along the x-axis. A tension, T, acts horizontally along the positive x-direction on the disk. - **Bearings at C and D**: Support the shaft at respective distances from B. - Axes: The x-axis is horizontal (right), the y-axis in the plane of the disk (upwards), and the z-axis vertical (downwards). The diagram assists in understanding the distribution and directions of forces acting on the components.
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