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A belt is passing over a fixed drum. If the magnitude of the force F is 2.5 kN, determine the angle 8 at which the 4-kN load will just begin to slip (the impending slip of the belt is in the clockwise direction) Assume that µ = 0.25. F=2.5 kN V8-90°

A belt is passing over a fixed drum. If the magnitude of the force F is 2.5 kN, determine the angle 8 at which the 4-kN load will just begin to slip (the impending slip of the belt is in the clockwise direction) Assume that µ = 0.25. F=2.5 kN V8-90°

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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**Problem Statement:** A belt is passing over a fixed drum. If the magnitude of the force \( F \) is 2.5 kN, determine the angle \( \delta \) at which the 4-kN load will just begin to slip (the impending slip of the belt is in the clockwise direction). Assume that the coefficient of static friction \( \mu_s = 0.25 \). **Diagram Explanation:** The diagram shows a belt wrapped around a cylindrical drum. A force \( F = 2.5 \, \text{kN} \) acts on one end of the belt, and a 4-kN load hangs from the other end. The angle of contact \( \beta \) is shown in parts, with an inner segment corresponding to \( 90^\circ \) and an additional segment extending it by \( \beta \). The challenge is to determine the specific angle \( \delta \) such that the belt is on the verge of slipping under the given conditions, using the provided static friction coefficient.
Transcribed Image Text:**Problem Statement:** A belt is passing over a fixed drum. If the magnitude of the force \( F \) is 2.5 kN, determine the angle \( \delta \) at which the 4-kN load will just begin to slip (the impending slip of the belt is in the clockwise direction). Assume that the coefficient of static friction \( \mu_s = 0.25 \). **Diagram Explanation:** The diagram shows a belt wrapped around a cylindrical drum. A force \( F = 2.5 \, \text{kN} \) acts on one end of the belt, and a 4-kN load hangs from the other end. The angle of contact \( \beta \) is shown in parts, with an inner segment corresponding to \( 90^\circ \) and an additional segment extending it by \( \beta \). The challenge is to determine the specific angle \( \delta \) such that the belt is on the verge of slipping under the given conditions, using the provided static friction coefficient.
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