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
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:**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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