6- The three bars have a weight of WA= 20 Ib, WB = 40 Ib, and Wc = 60 lb, respectively. If the coefficients of static friction at the surfaces of contact are as shown. Determine the smallest horizontal force P needed to move block A. C =0.5 17 IS BBA =0.3 A HAD=0.2 p P D

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
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**Transcription and Explanation for Educational Website:**

---

**Problem:**
The three bars have a weight of \( W_A = 20 \, \text{lb} \), \( W_B = 40 \, \text{lb} \), and \( W_C = 60 \, \text{lb} \), respectively. If the coefficients of static friction at the surfaces of contact are as shown, determine the smallest horizontal force \( P \) needed to move block \( A \).

**Diagram Description:**
The diagram shows three stacked rectangular blocks labeled \( A \), \( B \), and \( C \). Each block has indications of its weight:
- Block \( A \) has a weight of \( 20 \, \text{lb} \).
- Block \( B \) is stacked on top of \( A \) with a weight of \( 40 \, \text{lb} \).
- Block \( C \) is on top of \( B \) with a weight of \( 60 \, \text{lb} \).

There are coefficients of static friction at each surface of contact:
- Between \( A \) and the ground (\( \mu_{AD} = 0.2 \)).
- Between \( A \) and \( B \) (\( \mu_{BA} = 0.3 \)).
- Between \( B \) and \( C \) (\( \mu_{CB} = 0.5 \)).

A horizontal force \( P \) is applied to block \( A \) towards the right.

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**Objective:**
To determine the smallest horizontal force \( P \) needed to overcome static friction and initiate movement in block \( A \), considering the given weights and friction coefficients.
Transcribed Image Text:**Transcription and Explanation for Educational Website:** --- **Problem:** The three bars have a weight of \( W_A = 20 \, \text{lb} \), \( W_B = 40 \, \text{lb} \), and \( W_C = 60 \, \text{lb} \), respectively. If the coefficients of static friction at the surfaces of contact are as shown, determine the smallest horizontal force \( P \) needed to move block \( A \). **Diagram Description:** The diagram shows three stacked rectangular blocks labeled \( A \), \( B \), and \( C \). Each block has indications of its weight: - Block \( A \) has a weight of \( 20 \, \text{lb} \). - Block \( B \) is stacked on top of \( A \) with a weight of \( 40 \, \text{lb} \). - Block \( C \) is on top of \( B \) with a weight of \( 60 \, \text{lb} \). There are coefficients of static friction at each surface of contact: - Between \( A \) and the ground (\( \mu_{AD} = 0.2 \)). - Between \( A \) and \( B \) (\( \mu_{BA} = 0.3 \)). - Between \( B \) and \( C \) (\( \mu_{CB} = 0.5 \)). A horizontal force \( P \) is applied to block \( A \) towards the right. --- **Objective:** To determine the smallest horizontal force \( P \) needed to overcome static friction and initiate movement in block \( A \), considering the given weights and friction coefficients.
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