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PENT 4-175. Replace the loading by an equivalent resultant force and couple moment acting at point O. UU w = wo Cos (2x)

PENT 4-175. Replace the loading by an equivalent resultant force and couple moment acting at point O. UU w = wo Cos (2x)

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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**Problem 4.175:** Replace the loading by an equivalent resultant force and couple moment acting at point \( O \). **Diagram Explanation:** The diagram illustrates a beam with a distributed load that varies along its length. The load is represented as a function of position, given by: \[ w = w_0 \cos\left(\frac{\pi x}{2L}\right) \] - The beam is horizontal, aligned along the x-axis with its left end at point \( O \). - The length of the beam is \( L \). - The distributed load starts at its maximum value of \( w_0 \) at the left end (\( x = 0 \)) and tapers off towards the right end (\( x = L \)). - The arrows represent the direction of the distributed load acting downwards on the beam.
Transcribed Image Text:**Problem 4.175:** Replace the loading by an equivalent resultant force and couple moment acting at point \( O \). **Diagram Explanation:** The diagram illustrates a beam with a distributed load that varies along its length. The load is represented as a function of position, given by: \[ w = w_0 \cos\left(\frac{\pi x}{2L}\right) \] - The beam is horizontal, aligned along the x-axis with its left end at point \( O \). - The length of the beam is \( L \). - The distributed load starts at its maximum value of \( w_0 \) at the left end (\( x = 0 \)) and tapers off towards the right end (\( x = L \)). - The arrows represent the direction of the distributed load acting downwards on the beam.
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