S If the coefficients of static friction at contact points A and B areμ = 0.21 andμ¹ = 0.24 respectively, determine the smallest force P that will cause the 179-kg spool to have impending motion. Supply your answer in Newtons. 400 mm 200 mm B P 150 mm

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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**Problem Statement:**

Determine the smallest force \( P \) needed to cause impending motion of a 179-kg spool, given the coefficients of static friction at contact points A and B are \( \mu_s = 0.21 \) and \( \mu_s' = 0.24 \), respectively. Provide your answer in Newtons.

**Diagram Explanation:**

- The diagram depicts a large cylindrical spool resting on a surface, with the following features:
  - **Spool Dimensions:**
    - Outer radius: 400 mm
    - Inner radius or distance to point B: 200 mm
  - **Contact Points:**
    - Point A is the contact point on the bottom-left side of the spool against the surface.
    - Point B is another contact point on a smaller ledge to the right with a height difference of 150 mm from the surface (from point A).
  - **Force \( P \):**
    - The force \( P \) acts horizontally to the right at the center of the spool.

The task requires applying principles of static friction and mechanics to find the minimal force \( P \) that will just overcome the static friction at both contact points, initiating spool movement. This involves analyzing friction forces, normal forces, and applying equilibrium conditions.
Transcribed Image Text:**Problem Statement:** Determine the smallest force \( P \) needed to cause impending motion of a 179-kg spool, given the coefficients of static friction at contact points A and B are \( \mu_s = 0.21 \) and \( \mu_s' = 0.24 \), respectively. Provide your answer in Newtons. **Diagram Explanation:** - The diagram depicts a large cylindrical spool resting on a surface, with the following features: - **Spool Dimensions:** - Outer radius: 400 mm - Inner radius or distance to point B: 200 mm - **Contact Points:** - Point A is the contact point on the bottom-left side of the spool against the surface. - Point B is another contact point on a smaller ledge to the right with a height difference of 150 mm from the surface (from point A). - **Force \( P \):** - The force \( P \) acts horizontally to the right at the center of the spool. The task requires applying principles of static friction and mechanics to find the minimal force \( P \) that will just overcome the static friction at both contact points, initiating spool movement. This involves analyzing friction forces, normal forces, and applying equilibrium conditions.
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