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A 230 lbs horizontal force P is applied to a 100 lbs box resting on an 26° incline. The line of action of P passes through the center of gravity of the box. The box is 4.5 ft wide x 4 ft tall, and the coefficents of friction between the box and the surface are us = 0.2 and μk = 0.17. P 26° W 1. Determine the magnitude of the friction force acting on the box. 2. What is the maximum static friction force? 3. What is the friction force if the box starts moving?

A 230 lbs horizontal force P is applied to a 100 lbs box resting on an 26° incline. The line of action of P passes through the center of gravity of the box. The box is 4.5 ft wide x 4 ft tall, and the coefficents of friction between the box and the surface are us = 0.2 and μk = 0.17. P 26° W 1. Determine the magnitude of the friction force acting on the box. 2. What is the maximum static friction force? 3. What is the friction force if the box starts moving?

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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Question

According to the answer key- 

1. 32.4 lb

2. Fs = 38.1 lb

3. Fk = 32.4 lb

4. No

5. Yes – box is sliding up the incline (to the right)

### Problem Description A 230 lbs horizontal force \( P \) is applied to a 100 lbs box resting on an inclined plane with a 26° angle. The line of action of \( P \) passes through the center of gravity of the box. The box dimensions are 4.5 ft wide \(\times\) 4 ft tall. The coefficients of friction between the box and the surface are \( \mu_s = 0.2 \) and \( \mu_k = 0.17 \). ### Diagram Description The diagram shows a box placed on an incline with an angle of 26° from the horizontal. The box is subjected to: - A horizontal force \( P \) of 230 lbs acting at the center of gravity. - A gravitational force \( W \) acting vertically downward. The incline is labeled with the angle of 26°, and the direction of the horizontal force \( P \) and the weight force \( W \) are indicated with arrows. ### Questions 1. **Determine the magnitude of the friction force acting on the box.** 2. **What is the maximum static friction force?** 3. **What is the friction force if the box starts moving?** 4. **Does tipping occur?** 5. **Does slipping occur? If so, in which direction?** These questions guide the analysis of the system, focusing on understanding the forces involved and the conditions for motion, including slipping and tipping.
Transcribed Image Text:### Problem Description A 230 lbs horizontal force \( P \) is applied to a 100 lbs box resting on an inclined plane with a 26° angle. The line of action of \( P \) passes through the center of gravity of the box. The box dimensions are 4.5 ft wide \(\times\) 4 ft tall. The coefficients of friction between the box and the surface are \( \mu_s = 0.2 \) and \( \mu_k = 0.17 \). ### Diagram Description The diagram shows a box placed on an incline with an angle of 26° from the horizontal. The box is subjected to: - A horizontal force \( P \) of 230 lbs acting at the center of gravity. - A gravitational force \( W \) acting vertically downward. The incline is labeled with the angle of 26°, and the direction of the horizontal force \( P \) and the weight force \( W \) are indicated with arrows. ### Questions 1. **Determine the magnitude of the friction force acting on the box.** 2. **What is the maximum static friction force?** 3. **What is the friction force if the box starts moving?** 4. **Does tipping occur?** 5. **Does slipping occur? If so, in which direction?** These questions guide the analysis of the system, focusing on understanding the forces involved and the conditions for motion, including slipping and tipping.
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