**Problem 2.7:** A telephone cable is clamped at \( A \) to the pole \( AB \). Knowing that the tension in the right-hand portion of the cable is \( T_2 = 1000 \) lb, determine by trigonometry (a) the required tension \( T_1 \) in the left-hand portion if the resultant \( R \) of the forces exerted by the cable at \( A \) is to be vertical, (b) the corresponding magnitude of \( R \).**Diagram Explanation:**- The diagram shows a vertical pole \( AB \) with a telephone cable clamped at point \( A \).- The cable extends in two directions from \( A \): to the left with tension \( T_1 \) at an angle of \( 15^\circ \) above the horizontal, and to the right with tension \( T_2 \) at an angle of \( 25^\circ \) above the horizontal.- The arrows indicate the direction and angle of each tension force.- The goal is to find the tension \( T_1 \) and the magnitude of the vertical resultant force \( R \) at \( A \).(Fig. P2.6 and P2.7)

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Answered: mine by trigonometry (a) the required…

mine by trigonometry (a) the required tension T₁ in the left-hand por- tion if the resultant R of the forces exerted by the cable at A is to be vertical, (b) the corresponding magnitude of R.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Cables

Cables are collections of wires, alternatively referred to as a cord, connector, or plug. They are one or more wires covered in a plastic covering that allows for the transmission of power or data between devices. The earliest use of recognizable electrical cable was the early commercialized telegraph lines. These were iron-made and tedious to produce and install cabling.

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**Problem 2.7:**
A telephone cable is clamped at \( A \) to the pole \( AB \). Knowing that the tension in the right-hand portion of the cable is \( T_2 = 1000 \) lb, determine by trigonometry (a) the required tension \( T_1 \) in the left-hand portion if the resultant \( R \) of the forces exerted by the cable at \( A \) is to be vertical, (b) the corresponding magnitude of \( R \).

**Diagram Explanation:**

- The diagram shows a vertical pole \( AB \) with a telephone cable clamped at point \( A \).
- The cable extends in two directions from \( A \): to the left with tension \( T_1 \) at an angle of \( 15^\circ \) above the horizontal, and to the right with tension \( T_2 \) at an angle of \( 25^\circ \) above the horizontal.
- The arrows indicate the direction and angle of each tension force.
- The goal is to find the tension \( T_1 \) and the magnitude of the vertical resultant force \( R \) at \( A \).

(Fig. P2.6 and P2.7)

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