i+388The magnitude TGF of the projection of Tonto line GF:-TGF = UGF - TCDTGFUGF=IFGFUCD=TCD==(XF-XG)i + (yF-YG)+(ZF-ZG)√[(XF-XG)²+ (YF-YG)²+ (ZF-ZG)²]UGFUGF=TGF = UGF TCDTGF = (UGFX TCDX) + (UGFY TCDy) + (UGFz TCDZ)TGF=kNi+=k (kN)0The magnitude 7, of the projection of Tonto line OD:-00TOD= UOD TCDTODUOD=rop √[(xD-xo)²+ (YD-YO)²+(²D-²0)²](XD-xo)i+(YD-yo)+(ZD-Zo)UOD=UOD=TOD= UOD TCDTOD= (UODxTCDX) + (UoDy TCDy) + (UODz TCDZ)TOD=kN0 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 ODT = 6.2 kNa =0.5 m1mb =2mc = 1mExpression of T as a vector:TCD-TUCD=ICDUCD= [TCDUCD=B 1.5 mm0.5 m3m1.5 mi+2mE(XD-Xc\i+(VD-Yc)+(Zp-Zc)(XD-XC)+(YD-Yc²+ (zp-Zc)²]✓ 0.00T= 6.2 KN

Answered: F 1 m 1m B 1.5 m 1m 0.5 m 3 m ON 1.5 m…

Engineering

Mechanical Engineering

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

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Concept explainers

Stress transformation

The term stress indicates the measure of internal forces that develop due to an external force's application on an object. When a specific external force is applied to an object, internal stress generates in the material. The value of stress can obtain by taking the ratio of the externally applied force and cross-sectional area of the object. There are different types of stress depending on the type of external force.

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

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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