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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.

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
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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**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)
Transcribed Image Text:**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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