3.96 To support the tent, the tension in the rope AB must be35 lb. What are the tensions in the ropes AC, AD, and AE?(0, 6, 6) ftD(0,5, 0) ftCE(3, 0, 3) ft(6, 4, 3) ftAB (8,4, 3) ftProblem 3.96X

Answered: 6,6) ft D (0,5, 0) ft C E (3, 0,3) ft…

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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3.96 To support the tent, the tension in the rope AB must be
35 lb. What are the tensions in the ropes AC, AD, and AE?
(0, 6, 6) ft
D
(0,5, 0) ft
C
E
(3, 0, 3) ft
(6, 4, 3) ft
A
B (8,4, 3) ft
Problem 3.96
X

Expert Solution

Step 1: Write the given data with suitable variables-

$F subscript B A end subscript equals 35 space$

The position vectors for each rope are expressed as follows-

$table row cell r subscript A C end subscript end cell equals cell C minus A end cell row blank equals cell open parentheses 0 comma 5 comma 0 close parentheses minus open parentheses 6 comma 4 comma 3 close parentheses end cell row blank equals cell open parentheses negative 6 i plus j minus 3 k close parentheses space ft end cell row cell r subscript AD end cell equals cell straight D minus straight A end cell row blank equals cell open parentheses 0 comma 6 comma 6 close parentheses minus open parentheses 6 comma 4 comma 3 close parentheses end cell row blank equals cell open parentheses negative 6 straight i plus 2 straight j plus 3 straight k close parentheses space ft end cell row cell r subscript AE end cell equals cell straight E minus straight A end cell row blank equals cell open parentheses 3 comma 0 comma 3 close parentheses minus open parentheses 6 comma 4 comma 3 close parentheses end cell row blank equals cell open parentheses negative 3 straight i minus 4 straight j plus 0 straight k close parentheses space ft end cell row cell r subscript B A end subscript end cell equals cell A minus B end cell row blank equals cell open parentheses 6 comma 4 comma 3 close parentheses minus open parentheses 8 comma 4 comma 3 close parentheses end cell row blank equals cell open parentheses negative 2 straight i plus 0 straight j plus 0 straight k close parentheses space ft end cell row blank blank blank end table$

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