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Express in 4 significant figures a) Find the distance (in m) that would yield the same magnitude as the resultant couple moment if the resultant force is moved along the beam. b)Find the y-component of the resultant force (in kN). c) Find the magnitude of the resultant force (in kN).

Express in 4 significant figures a) Find the distance (in m) that would yield the same magnitude as the resultant couple moment if the resultant force is moved along the beam. b)Find the y-component of the resultant force (in kN). c) Find the magnitude of the resultant force (in kN).

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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Express in 4 significant figures

a) Find the distance (in m) that would yield the same magnitude as the resultant couple moment if the resultant force is moved along the beam.

b)Find the y-component of the resultant force (in kN).

c) Find the magnitude of the resultant force (in kN).

 

F1 = 4 kN F2 = 3 kN F3 = 2 kN a = 3 m b = 5 m C = 4 m theta = 33 degrees F3 F1 F, 4 В A b
Transcribed Image Text:F1 = 4 kN F2 = 3 kN F3 = 2 kN a = 3 m b = 5 m C = 4 m theta = 33 degrees F3 F1 F, 4 В A b
Expert Solution
Step 1

Solution

   First, find the angle for F2

                                   tanθ1=34θ1=37°                           

After that find reactions at A and B called R1 and R2 respectively

                Equilibrium equation

                                  R1+R2=2+4sin37+3cos33R1+R2=6.92

Take moment about B

                                R112=4sin379+3cos334R1=2.64 kN

Substitute R1 in equation (1)

                             2.64+R2=6.92R2=4.27 kN

y component of Resultant force

             ∑FY=R1+R2-2-4sin37-3cos33=4.80 kN

                                                                                       

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