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The pole in Figure 5.24 is at a 90.0º bend in a power line

Chapter 5, Problem 44

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QUESTION:

The pole in Figure \(5.24\) is at a \(90.0^{\circ}\) 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 \(4.00 \times 10^{4} \mathrm{~N}\) , at the angles shown. The pole is \(15.0 \mathrm{~m}\) tall, has an \(18.0 \mathrm{~cm}\) diameter, and can be considered to have half the strength of hardwood.

(a) Calculate the compression of the pole.

(b) Find how much it bends and in what direction.

(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 \(30.0^{\circ}\) with the vertical. (Clearly, the guy wire must be in the opposite direction of the bend.)

                

Figure \(5.24\) This telephone pole is at a \(90.0^{\circ}\) bend in a power line. A guy wire is attached to the top of the pole at an angle of \(30.0^{\circ}\) with the vertical.

Equation Transcription:

Text Transcription:

5.24

90.0 degrees

4.00 times 10^4 N

15.0 m

18.0 cm

30.0 degrees

Questions & Answers

QUESTION:

The pole in Figure \(5.24\) is at a \(90.0^{\circ}\) 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 \(4.00 \times 10^{4} \mathrm{~N}\) , at the angles shown. The pole is \(15.0 \mathrm{~m}\) tall, has an \(18.0 \mathrm{~cm}\) diameter, and can be considered to have half the strength of hardwood.

(a) Calculate the compression of the pole.

(b) Find how much it bends and in what direction.

(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 \(30.0^{\circ}\) with the vertical. (Clearly, the guy wire must be in the opposite direction of the bend.)

                

Figure \(5.24\) This telephone pole is at a \(90.0^{\circ}\) bend in a power line. A guy wire is attached to the top of the pole at an angle of \(30.0^{\circ}\) with the vertical.

Equation Transcription:

Text Transcription:

5.24

90.0 degrees

4.00 times 10^4 N

15.0 m

18.0 cm

30.0 degrees

ANSWER:

Step 1 of 7

Height of the pole:

Diameter of the crosssection:

Radius of the pole cross-section:

Tension in power lines:

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