### Problem Statement**Objective:** Determine the maximum and minimum values of weight \( W \) that can be applied without causing the 25-kg block to slip.**Details:** - The coefficient of static friction between the block and the inclined plane is \( \mu_s = 0.2 \).- The coefficient of static friction between the rope and the drum \( D \) is \( \mu'_s = 0.3 \).### Diagram ExplanationThe diagram illustrates:1. **Inclined Plane:** - The plane is set at an angle of \( 45^\circ \). - A 25-kg block rests on this inclined plane.2. **Block and Rope System:** - The block on the plane is connected to a rope.3. **Pulley System:** - The rope passes over a drum labeled \( D \). - A weight \( W \) is hanging vertically from the rope after the drum.### Concepts Involved- **Static Friction:** - Prevents the block from slipping on the plane.- **Tension in the Rope:** - Tension varies across the different sections around the drum due to friction.- **Forces on the Inclined Plane:** - The weight component acting down the plane. - Frictional force opposing this motion.By analyzing these forces, the required values of \( W \) can be calculated to ensure equilibrium, thus preventing the block from slipping.

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45° W Determine the maximum and the minimum values of weight W which may be applied without causing the 25-kg block to slip. The coefficient of static friction between the block and the plane is μ = 0.2, and between the rope and the drum D is p = 0.3.2

45° W Determine the maximum and the minimum values of weight W which may be applied without causing the 25-kg block to slip. The coefficient of static friction between the block and the plane is μ = 0.2, and between the rope and the drum D is p = 0.3.2

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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Concept explainers

Basic Terminology in Mechanics

The area of science and mathematics concerned the motion of the objects, the relation between the force matter, and motion if specified. Forces exerted over the objects result in displacements or changes in the position of an object concerning its environment. This branch of physics keeps its roots in Ancient Greece in the form of the scripts of Aristotle and Archimedes.

Question

### Problem Statement

**Objective:**
Determine the maximum and minimum values of weight \( W \) that can be applied without causing the 25-kg block to slip.

**Details:**
- The coefficient of static friction between the block and the inclined plane is \( \mu_s = 0.2 \).
- The coefficient of static friction between the rope and the drum \( D \) is \( \mu'_s = 0.3 \).

### Diagram Explanation

The diagram illustrates:

1. **Inclined Plane:**
- The plane is set at an angle of \( 45^\circ \).
- A 25-kg block rests on this inclined plane.

2. **Block and Rope System:**
- The block on the plane is connected to a rope.

3. **Pulley System:**
- The rope passes over a drum labeled \( D \).
- A weight \( W \) is hanging vertically from the rope after the drum.

### Concepts Involved

- **Static Friction:**
- Prevents the block from slipping on the plane.

- **Tension in the Rope:**
- Tension varies across the different sections around the drum due to friction.

- **Forces on the Inclined Plane:**
- The weight component acting down the plane.
- Frictional force opposing this motion.

By analyzing these forces, the required values of \( W \) can be calculated to ensure equilibrium, thus preventing the block from slipping.

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