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A light bar AB supports a 15-kg block at its midpoint C. Rollers at A and B rest against frictionless surfaces, and a horizontal cable AD is attached at A. Determine (a) the tension in cable AD, (b) the reactions at A and B.

A light bar AB supports a 15-kg block at its midpoint C. Rollers at A and B rest against frictionless surfaces, and a horizontal cable AD is attached at A. Determine (a) the tension in cable AD, (b) the reactions at A and B.

Elements Of Electromagnetics
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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**Problem Statement:** A light bar \( AB \) supports a 15-kg block at its midpoint \( C \). Rollers at \( A \) and \( B \) rest against frictionless surfaces, and a horizontal cable \( AD \) is attached at \( A \). Determine: (a) the tension in cable \( AD \), (b) the reactions at \( A \) and \( B \). **Diagram Explanation:** - **Bar AB**: A horizontal bar supported at point \( A \) and point \( B \). - **Block at C**: A 15-kg block hangs from the midpoint \( C \) of the bar. - **Distances**: - \( AC = 250 \, \text{mm} \) - \( CB = 250 \, \text{mm} \) - **Vertical Measurement**: - Distance from \( B \) to the wall is \( 350 \, \text{mm} \). - **Rollers**: Located at points \( A \) and \( B \) against frictionless surfaces, allowing the bar to rest and rotate slightly. - **Cable AD**: A horizontal cable attached to point \( A \) and extending to point \( D \). **Objective**: Determine the tension in the cable \( AD \) and the reaction forces at the supports \( A \) and \( B \).
Transcribed Image Text:**Problem Statement:** A light bar \( AB \) supports a 15-kg block at its midpoint \( C \). Rollers at \( A \) and \( B \) rest against frictionless surfaces, and a horizontal cable \( AD \) is attached at \( A \). Determine: (a) the tension in cable \( AD \), (b) the reactions at \( A \) and \( B \). **Diagram Explanation:** - **Bar AB**: A horizontal bar supported at point \( A \) and point \( B \). - **Block at C**: A 15-kg block hangs from the midpoint \( C \) of the bar. - **Distances**: - \( AC = 250 \, \text{mm} \) - \( CB = 250 \, \text{mm} \) - **Vertical Measurement**: - Distance from \( B \) to the wall is \( 350 \, \text{mm} \). - **Rollers**: Located at points \( A \) and \( B \) against frictionless surfaces, allowing the bar to rest and rotate slightly. - **Cable AD**: A horizontal cable attached to point \( A \) and extending to point \( D \). **Objective**: Determine the tension in the cable \( AD \) and the reaction forces at the supports \( A \) and \( B \).
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