The desk has a weight of 54 lblb and a center of gravity at GG. The coefficients of static and kinetic friction at AA and BB are μsμs = 0.5 and μkμk = 0.2, respectively. (Figure 1)Determine the initial acceleration of a desk when the man applies enough force FF to overcome the static friction at AA and BB.Find the vertical reaction on each of the two legs at AA. **Educational Exercise: Determining Forces and Acceleration****Context:**The desk has a weight of 54 lb and a center of gravity at point \( G \). The coefficients of static and kinetic friction at points \( A \) and \( B \) are \(\mu_s = 0.5\) and \(\mu_k = 0.2\), respectively. **Figure Explanation:**The diagram shows a man pushing a desk. The desk's dimensions are indicated: the center of gravity \( G \) is located centrally along the width, with legs positioned 2 ft apart on each side of \( G \). The man exerts a force \( F \), shown as a vector pushing the desk to the right. The desk has legs at points labeled \( A \) and \( B \) with 2 ft distances on either side of the center.**Part A:**Determine the initial acceleration (\( a_C \)) of the desk when sufficient force \( F \) is applied to overcome the static friction at points \( A \) and \( B \).- Express your answer to three significant figures and include the appropriate units.- Enter a positive value if the acceleration is to the right and a negative value if it is to the left.\[ a_C = \] Value [Units]- **Incorrect**; Try Again: 5 attempts remaining**Part B:**Find the vertical reaction (\( N_A \)) on each of the two legs at point \( A \).- Express your answer to three significant figures and include the appropriate units.\[ N_A = \] Value [Units]This exercise involves understanding the concepts of static and kinetic friction, force, and acceleration. It requires applying formulas related to Newton's laws of motion and coefficients of friction.

Answered: The desk has a weight of 54 lb and a…

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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The desk has a weight of 54 lblb and a center of gravity at GG. The coefficients of static and kinetic friction at AA and BB are μsμs = 0.5 and μkμk = 0.2, respectively. (Figure 1)

Determine the initial acceleration of a desk when the man applies enough force FF to overcome the static friction at AA and BB.

Find the vertical reaction on each of the two legs at AA.

**Educational Exercise: Determining Forces and Acceleration**

**Context:**
The desk has a weight of 54 lb and a center of gravity at point \( G \). The coefficients of static and kinetic friction at points \( A \) and \( B \) are \(\mu_s = 0.5\) and \(\mu_k = 0.2\), respectively.

**Figure Explanation:**
The diagram shows a man pushing a desk. The desk's dimensions are indicated: the center of gravity \( G \) is located centrally along the width, with legs positioned 2 ft apart on each side of \( G \). The man exerts a force \( F \), shown as a vector pushing the desk to the right. The desk has legs at points labeled \( A \) and \( B \) with 2 ft distances on either side of the center.

**Part A:**
Determine the initial acceleration (\( a_C \)) of the desk when sufficient force \( F \) is applied to overcome the static friction at points \( A \) and \( B \).

- Express your answer to three significant figures and include the appropriate units.
- Enter a positive value if the acceleration is to the right and a negative value if it is to the left.

\[ a_C = \] Value [Units]
- **Incorrect**; Try Again: 5 attempts remaining

**Part B:**
Find the vertical reaction (\( N_A \)) on each of the two legs at point \( A \).

- Express your answer to three significant figures and include the appropriate units.

\[ N_A = \] Value [Units]

This exercise involves understanding the concepts of static and kinetic friction, force, and acceleration. It requires applying formulas related to Newton's laws of motion and coefficients of friction.

Expert Solution

Step 1

Given data

Weight of desk (W) = 54 lb

Coefficient of static friction (μs) = 0.5

Coefficient of kinetic friction (μk) = 0.2

To determine '

(i) the initial acceleration of the desk when the man applies enough force F to overcome the static friction A to B.

(ii) the vertical reaction on each of the two legs.

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