Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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Transcribed Image Text:**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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