### Educational Content**Problem Statement 3.153:**In a manufacturing operation, three holes are drilled simultaneously in a workpiece. If the holes are perpendicular to the surfaces of the workpiece, replace the couples applied to the drills with a single equivalent couple, specifying its magnitude and the direction of its axis.**Diagram Explanation:**The figure illustrates a wooden workpiece with three drills applying moments represented as rotational arrows above each drill. The coordinate axes (x, y, z) are shown for reference:1. **Left Drill:** - Moment: 1.5 N·m - Angle of the application: 20° from the z-axis towards the x-axis. - Red circular arrow indicates counterclockwise rotation around its axis.2. **Middle Drill:** - Moment: 1.5 N·m - Perpendicular to the surface without additional angle. - Red circular arrow indicates counterclockwise rotation around its axis.3. **Right Drill:** - Moment: 1.75 N·m - Angle of the application: 25° from the x-axis towards the y-axis. - Red circular arrow indicates counterclockwise rotation around its axis.The task involves determining a single equivalent couple that can replace these three moments while maintaining equilibrium conditions, with the requirement to specify both its magnitude and directional axis.

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3.153 In a manufacturing operation, three holes are drilled simultaneously in a workpiece. If the holes are perpendicular to the surfaces of the workpiece, replace the couples applied to the drills with a single equivalent couple, specifying its magnitude and the direction of its axis.

3.153 In a manufacturing operation, three holes are drilled simultaneously in a workpiece. If the holes are perpendicular to the surfaces of the workpiece, replace the couples applied to the drills with a single equivalent couple, specifying its magnitude and the direction of its axis.

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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### Educational Content

**Problem Statement 3.153:**
In a manufacturing operation, three holes are drilled simultaneously in a workpiece. If the holes are perpendicular to the surfaces of the workpiece, replace the couples applied to the drills with a single equivalent couple, specifying its magnitude and the direction of its axis.

**Diagram Explanation:**

The figure illustrates a wooden workpiece with three drills applying moments represented as rotational arrows above each drill. The coordinate axes (x, y, z) are shown for reference:

1. **Left Drill:**
- Moment: 1.5 N·m
- Angle of the application: 20° from the z-axis towards the x-axis.
- Red circular arrow indicates counterclockwise rotation around its axis.

2. **Middle Drill:**
- Moment: 1.5 N·m
- Perpendicular to the surface without additional angle.
- Red circular arrow indicates counterclockwise rotation around its axis.

3. **Right Drill:**
- Moment: 1.75 N·m
- Angle of the application: 25° from the x-axis towards the y-axis.
- Red circular arrow indicates counterclockwise rotation around its axis.

The task involves determining a single equivalent couple that can replace these three moments while maintaining equilibrium conditions, with the requirement to specify both its magnitude and directional axis.

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