Page 132 3.74 A piece of plywood in which several holes are being drilled successively has been secured to a workbench by means of two nails. Knowing that the drill exerts a 12-N.m couple on the piece of plywood, determine the magnitude of the resulting forces applied to the nails if they are located (a) at A and B, (b) at B and C, (c) at A and C.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Problem 3.74**

A piece of plywood in which several holes are being drilled successively has been secured to a workbench by means of two nails. Knowing that the drill exerts a 12 N·m couple on the piece of plywood, determine the magnitude of the resulting forces applied to the nails if they are located:

(a) at A and B,

(b) at B and C,

(c) at A and C.

**Diagram Explanation:**

The diagram shows a piece of plywood with dimensions labeled. The plywood is a rectangular piece with a drill placed vertically at its center. The drill is working on the wood, exerting a couple of 12 N·m.

- **Point A** is located at one corner of the rectangle.
- **Point B** is located along the longer side of the rectangle, 450 mm from point A.
- **Point C** is located at the opposite corner from point A, 240 mm away from point B along the shorter side of the rectangle.

Dimensions are clearly labeled as follows:
- The length between A and B is 450 mm.
- The length between B and C is 240 mm.

The drill's impact needs to be considered for different positions of nails at these points (A, B, and C) to understand how the forces balance the couple exerted by the drill.
Transcribed Image Text:**Problem 3.74** A piece of plywood in which several holes are being drilled successively has been secured to a workbench by means of two nails. Knowing that the drill exerts a 12 N·m couple on the piece of plywood, determine the magnitude of the resulting forces applied to the nails if they are located: (a) at A and B, (b) at B and C, (c) at A and C. **Diagram Explanation:** The diagram shows a piece of plywood with dimensions labeled. The plywood is a rectangular piece with a drill placed vertically at its center. The drill is working on the wood, exerting a couple of 12 N·m. - **Point A** is located at one corner of the rectangle. - **Point B** is located along the longer side of the rectangle, 450 mm from point A. - **Point C** is located at the opposite corner from point A, 240 mm away from point B along the shorter side of the rectangle. Dimensions are clearly labeled as follows: - The length between A and B is 450 mm. - The length between B and C is 240 mm. The drill's impact needs to be considered for different positions of nails at these points (A, B, and C) to understand how the forces balance the couple exerted by the drill.
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