F 1 m 1m B 1.5 m 1m 0.5 m 3 m ON 1.5 m 2m E T= 6.2 KN D
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
Related questions
Question
![i+
388
The magnitude TGF of the projection of Tonto line GF:-
TGF = UGF - TCD
TGF
UGF=
IFGF
UCD=
TCD=
=
(XF-XG)i + (yF-YG)+(ZF-ZG)
√[(XF-XG)²+ (YF-YG)²+ (ZF-ZG)²]
UGF
UGF=
TGF = UGF TCD
TGF = (UGFX TCDX) + (UGFY TCDy) + (UGFz TCDZ)
TGF=
kN
i+
=
k (kN)
0
The magnitude 7, of the projection of Tonto line OD:-
00
TOD= UOD TCD
TOD
UOD=
rop √[(xD-xo)²+ (YD-YO)²+(²D-²0)²]
(XD-xo)i+(YD-yo)+(ZD-Zo)
UOD=
UOD=
TOD= UOD TCD
TOD= (UODxTCDX) + (UoDy TCDy) + (UODz TCDZ)
TOD=
kN
0](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Facecfcaa-0cb0-46ef-a49d-e3df8de3bc20%2Faf66d4a5-84fa-4701-bb05-e3db8af7427a%2F2udgut_processed.jpeg&w=3840&q=75)
Transcribed Image Text:i+
388
The magnitude TGF of the projection of Tonto line GF:-
TGF = UGF - TCD
TGF
UGF=
IFGF
UCD=
TCD=
=
(XF-XG)i + (yF-YG)+(ZF-ZG)
√[(XF-XG)²+ (YF-YG)²+ (ZF-ZG)²]
UGF
UGF=
TGF = UGF TCD
TGF = (UGFX TCDX) + (UGFY TCDy) + (UGFz TCDZ)
TGF=
kN
i+
=
k (kN)
0
The magnitude 7, of the projection of Tonto line OD:-
00
TOD= UOD TCD
TOD
UOD=
rop √[(xD-xo)²+ (YD-YO)²+(²D-²0)²]
(XD-xo)i+(YD-yo)+(ZD-Zo)
UOD=
UOD=
TOD= UOD TCD
TOD= (UODxTCDX) + (UoDy TCDy) + (UODz TCDZ)
TOD=
kN
0
![The rigid pole and cross-arm assembly is supported by the three cables shown.
A turnbuckle at D is tightened until it induces a tension 7 in cable CD.
(i) Express T as a vector
(ii) Determine the magnitude TGF of the projection of T onto line GF
(iii) Determine the magnitude Top of the projection of T onto line OD
T = 6.2 kN
a =
0.5 m
1m
b =
2m
c = 1m
Expression of T as a vector:
TCD-TUCD
=
ICD
UCD= [TCD
UCD=
B 1.5 m
m
0.5 m
3m
1.5 m
i+
2m
E
(XD-Xc\i+(VD-Yc)+(Zp-Zc)
(XD-XC)+(YD-Yc²+ (zp-Zc)²]
✓ 0.00
T= 6.2 KN](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Facecfcaa-0cb0-46ef-a49d-e3df8de3bc20%2Faf66d4a5-84fa-4701-bb05-e3db8af7427a%2Fi6qttka_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The rigid pole and cross-arm assembly is supported by the three cables shown.
A turnbuckle at D is tightened until it induces a tension 7 in cable CD.
(i) Express T as a vector
(ii) Determine the magnitude TGF of the projection of T onto line GF
(iii) Determine the magnitude Top of the projection of T onto line OD
T = 6.2 kN
a =
0.5 m
1m
b =
2m
c = 1m
Expression of T as a vector:
TCD-TUCD
=
ICD
UCD= [TCD
UCD=
B 1.5 m
m
0.5 m
3m
1.5 m
i+
2m
E
(XD-Xc\i+(VD-Yc)+(Zp-Zc)
(XD-XC)+(YD-Yc²+ (zp-Zc)²]
✓ 0.00
T= 6.2 KN
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