Two cables BC and BD are used to support the fixed bracket at B as shown. Cable BD exerts a tension of 1.27 kN on the bracket. a) Explain with a simple diagram how the resultant of two forces in three-dimensional space can be computed. ROLE

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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1-6 Two cables BC and BD are used to support the
fixed bracket at B as shown. Cable BD exerts a
tension of 1.27 kN on the bracket.
a) Explain with a simple diagram how the
resultant of two forces in three-dimensional
space can be computed.
ROL
b) (i) Express the tension in cable BC in a vector
form. (ii) What is the projection of this tension
on line OB? (iii) Find the angle between lines
OB and BD. (iv) If the y component of the
tension in cable BC is equal to that of the y
component of the tension BD, determine the
tension in cable BC.
c) Without any calculation, assess the magnitude
and direction of the force exerted by the cable
on the hook at D. ¹1
0.4 m
y
B
0.3 m,
A
[b) (i) IBD = 2001 - 1200j + 360k N; (ii) Tco=1116 N; (iii) 41.3⁰; (iv) TBC= Figure
1304 N]
0.5 m.
P1-6
X
0.36 m,
1.2 m
D
0.5 m
N
Transcribed Image Text:1-6 Two cables BC and BD are used to support the fixed bracket at B as shown. Cable BD exerts a tension of 1.27 kN on the bracket. a) Explain with a simple diagram how the resultant of two forces in three-dimensional space can be computed. ROL b) (i) Express the tension in cable BC in a vector form. (ii) What is the projection of this tension on line OB? (iii) Find the angle between lines OB and BD. (iv) If the y component of the tension in cable BC is equal to that of the y component of the tension BD, determine the tension in cable BC. c) Without any calculation, assess the magnitude and direction of the force exerted by the cable on the hook at D. ¹1 0.4 m y B 0.3 m, A [b) (i) IBD = 2001 - 1200j + 360k N; (ii) Tco=1116 N; (iii) 41.3⁰; (iv) TBC= Figure 1304 N] 0.5 m. P1-6 X 0.36 m, 1.2 m D 0.5 m N
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