**Problem 8–57**The uniform pole has a weight \( W \) and is lowered slowly from a vertical position \( \theta = 90^\circ \) toward the horizontal using cable \( AB \). If the coefficient of static friction is \( \mu_s = 0.3 \) at \( C \), determine the angle \( \theta \) at which the pole will start to slip.**Diagram Explanation:**The diagram depicts a scenario involving a uniform pole being lowered by an individual using a cable. Key components are:- **Pole:** A uniform pole labeled as \( BC \), with a length of 4 meters.- **Cable:** The cable is labeled \( AB \).- **Points:** - \( A \) is where the cable meets the ground and is connected to the person's hand. - \( B \) is the top of the pole where the cable is attached. - \( C \) is the point on the ground where the pole will slip.- **Distance:** The horizontal distance from point \( A \) to point \( C \) is 2 meters.- **Angle \(\theta\):** The angle formed between the pole (\( BC \)) and the ground, indicating the pole's inclination as it is lowered.The task is to determine the angle \(\theta\) at which the pole will begin to slip based on the given friction coefficient and setup.

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8-57. The uniform pole has a weight W and is lowered slowly from a vertical position 0 = 90° toward the horizontal using cable AB. If the coefficient of static friction is µ 0.3 at C, determine the angle at which the pole will start to slip. Problem 8-57 A 2 m C = B 4 m

8-57. The uniform pole has a weight W and is lowered slowly from a vertical position 0 = 90° toward the horizontal using cable AB. If the coefficient of static friction is µ 0.3 at C, determine the angle at which the pole will start to slip. Problem 8-57 A 2 m C = B 4 m

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

Metrology of Screw Threads

Screw threads are a series of ridges having the profile of a helix. This helix profile runs continuously along the length of a uniform solid or a hollow bar of a circular cross-section at periodic intervals. These helix ridges are also formed over a conical bar. These continuous helical ridges are termed threads.

Question

**Problem 8–57**

The uniform pole has a weight \( W \) and is lowered slowly from a vertical position \( \theta = 90^\circ \) toward the horizontal using cable \( AB \). If the coefficient of static friction is \( \mu_s = 0.3 \) at \( C \), determine the angle \( \theta \) at which the pole will start to slip.

**Diagram Explanation:**

The diagram depicts a scenario involving a uniform pole being lowered by an individual using a cable. Key components are:

- **Pole:** A uniform pole labeled as \( BC \), with a length of 4 meters.
- **Cable:** The cable is labeled \( AB \).
- **Points:**
- \( A \) is where the cable meets the ground and is connected to the person's hand.
- \( B \) is the top of the pole where the cable is attached.
- \( C \) is the point on the ground where the pole will slip.
- **Distance:** The horizontal distance from point \( A \) to point \( C \) is 2 meters.
- **Angle \(\theta\):** The angle formed between the pole (\( BC \)) and the ground, indicating the pole's inclination as it is lowered.

The task is to determine the angle \(\theta\) at which the pole will begin to slip based on the given friction coefficient and setup.

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