The pole in the figureis at a 90.0∘ bend in a power line and is therefore subjected to more shear force than poles in straight parts of the line.The tension in each line is 3.80×104 N, at the angles shown. The pole is 15.0 m tall, has an 15.0 cm diameter, and can be considered to have half the stiffness of hardwood. (a) Calculate the compression of the pole (in mm).answer mm(b) Find how much it bends ( in mm)answer mmand in what direction does it bend ?(A)To the right(B)To the left (c) Find the tension in a guy wire used to keep the pole straight if it is attached to the top of the pole at an angle of 30.0∘ with the vertical. (Clearly, the guy wire must be in the opposite direction of the bend.)?answer N **Diagram of Tension Forces on a Vertical Pole**This diagram illustrates the different tension forces acting on a vertical pole. The key components and forces shown in the diagram are as follows:1. **The Vertical Pole:** - The pole is depicted as a vertical wooden structure with several horizontal steps or rungs attached to it.2. **Tension Forces (T):** - Three tension forces are indicated by red arrows, each labeled "T." - The first tension force is directed horizontally to the right from the top of the pole at a 90° angle. - The second tension force is directed downward and to the right from the point of attachment on the pole, forming an 80° angle with the vertical pole. - The third tension force, also labeled "T," is directed upward and to the left, making a 30° angle with the vertical pole.3. **Guy Wire Tension (Tgw):** - There is an additional tension force labeled "Tgw" which represents the tension of a guy wire. - This guy wire is connected to the pole at the top and extends downward and to the left at a 30° angle from the vertical direction.By examining the angles and the directions of the forces, one can analyze the equilibrium conditions, ensuring the stability of the pole, and calculate the magnitudes of the forces. This diagram is useful for understanding how tension and forces work together to maintain the balance and structural integrity of vertical poles in various engineering applications.

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Answered: The pole in the figureis at a 90.0∘…

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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The pole in the figureis at a 90.0∘ bend in a power line and is therefore subjected to more shear force than poles in straight parts of the line.

The tension in each line is 3.80×104 N, at the angles shown. The pole is 15.0 m tall, has an 15.0 cm diameter, and can be considered to have half the stiffness of hardwood.

(a) Calculate the compression of the pole (in mm).

answer mm

(b) Find how much it bends ( in mm)

answer mm

and in what direction does it bend ?

(A)To the right

(B)To the left

(c) Find the tension in a guy wire used to keep the pole straight if it is attached to the top of the pole at an angle of 30.0∘ with the vertical. (Clearly, the guy wire must be in the opposite direction of the bend.)?

answer N

**Diagram of Tension Forces on a Vertical Pole**

This diagram illustrates the different tension forces acting on a vertical pole. The key components and forces shown in the diagram are as follows:

1. **The Vertical Pole:**
- The pole is depicted as a vertical wooden structure with several horizontal steps or rungs attached to it.

2. **Tension Forces (T):**
- Three tension forces are indicated by red arrows, each labeled "T."
- The first tension force is directed horizontally to the right from the top of the pole at a 90° angle.
- The second tension force is directed downward and to the right from the point of attachment on the pole, forming an 80° angle with the vertical pole.
- The third tension force, also labeled "T," is directed upward and to the left, making a 30° angle with the vertical pole.

3. **Guy Wire Tension (Tgw):**
- There is an additional tension force labeled "Tgw" which represents the tension of a guy wire.
- This guy wire is connected to the pole at the top and extends downward and to the left at a 30° angle from the vertical direction.

By examining the angles and the directions of the forces, one can analyze the equilibrium conditions, ensuring the stability of the pole, and calculate the magnitudes of the forces. This diagram is useful for understanding how tension and forces work together to maintain the balance and structural integrity of vertical poles in various engineering applications.

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