Mechanical Engineering Question

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 2.9

Mechanical Engineering homework question answer, step 1, image 1

Balancing forces in y direction 

TBC*sin =TAB*sin30o 

TBC*sin = 3*sin30o

TBC*sin = 1.5 kN             equation 1

Resultant of forces in x-direction

TAB*cos30o + TBC*cos = 4.8 kN

3*cos30o + TBC*cos = 4.8 kN

TBC*cos = 1.402 kN        equation 2

Taking the ratio of  equation 1 with respect to equation 2

Tan  = 1.069

thus =46.93o

put the value of in equation 1

TBC*sin(46.93o) = 1.5

TBC = 2.053 kN

 

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