Q1.) A cable system is subjected to three concentrated loads as shown. The sag at point D is measured at d = 5 m. 2 m, 2 m a) Determine the sags dÅ and dc. b) Determine which section of cable supports the largest tension and find its magnitude. A B 10 kN ¡d B с 20 kN dc -3 m dp D 40 kN 3 m- 4 m E
Q1.) A cable system is subjected to three concentrated loads as shown. The sag at point D is measured at d = 5 m. 2 m, 2 m a) Determine the sags dÅ and dc. b) Determine which section of cable supports the largest tension and find its magnitude. A B 10 kN ¡d B с 20 kN dc -3 m dp D 40 kN 3 m- 4 m E
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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Transcribed Image Text:**Q1)** A cable system is subjected to three concentrated loads as shown. The sag at point \( D \) is measured at \( d_D = 5 \) m.
a) Determine the sags \( d_B \) and \( d_C \).
b) Determine which section of the cable supports the largest tension and find its magnitude.
**Diagram Explanation:**
The diagram shows a horizontal cable with five points labeled \( A \), \( B \), \( C \), \( D \), and \( E \). The cable stretches from \( A \) to \( E \) with supports at both ends. The distances between the points are marked: \( A \) to \( B \) is 2 m, \( B \) to \( C \) is 2 m, \( C \) to \( D \) is 3 m, and \( D \) to \( E \) is 3 m. The vertical distance from the straight line connecting \( A \) and \( E \) is labeled as the sag at the corresponding points. The sag at \( D \) is specified to be 5 m.
The diagram also shows three downward forces acting on the cable: 10 kN at point \( B \), 20 kN at point \( C \), and 40 kN at point \( D \). Below point \( E \), a vertical support is depicted, signifying that the cable is anchored at this end as well.
The question asks to determine the sags at points \( B \) and \( C \), as well as to identify which section of the cable bears the maximum tension.
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