1m, 1m B m 1.5 m/c 0.5 m 3 m 1.5 m 2 m E T= 8.6 KN ·9

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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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 T 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
1 m,
T = 8.6 kN
a =
0.5 m
b=
C =
2 m
1m
1m
G
Expression of T as a vector:
TCD= TUCD
ICD
UCD= Ircpl
UCD=
B 1.5 m/C
0.5 m
3 m
1.5 m
i+
2 m
E
(XD-Xc)i+(VD-yc)+(ZD-Zc)
(XD-XC)+(YD-yC²+ (zp-zc)²1
0.00
T= 8.6 kN
k
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 T 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 1 m, T = 8.6 kN a = 0.5 m b= C = 2 m 1m 1m G Expression of T as a vector: TCD= TUCD ICD UCD= Ircpl UCD= B 1.5 m/C 0.5 m 3 m 1.5 m i+ 2 m E (XD-Xc)i+(VD-yc)+(ZD-Zc) (XD-XC)+(YD-yC²+ (zp-zc)²1 0.00 T= 8.6 kN k
U_CD
T_CD
The magnitude TGF of the projection of T onto line GF:-
U_GF
U_GF
T_GF=U_GF.T_C
U_GF=r_GF/|r_GF | =((x_F-x_G)i+(y_F-y_G
i+
i+
U_OD
U_OD
kN
k
0
k (kN)
T_GF=U_GF.T_C
T_GF=[(U) GFx T_CDx )+[[(UJ_GFy T_CDy )+[(1
T_GF
i+
k
The magnitude 7 of the projection of T onto line OD:-
00
kN
k
T_OD=U_OD.T_C
U_OD=r_OD/[r_OD] =((x_D-x_0 )i+(y_D-y_0
)+(Z_D-Z_O))/√([(x_D-x_0)^2+ (y_D_y_0
k
T_OD=U_OD-T_C
T_OD=[(U) ODx T_CDx )+[[(UJ_ODy T_CDy )+[
T_OL
Transcribed Image Text:U_CD T_CD The magnitude TGF of the projection of T onto line GF:- U_GF U_GF T_GF=U_GF.T_C U_GF=r_GF/|r_GF | =((x_F-x_G)i+(y_F-y_G i+ i+ U_OD U_OD kN k 0 k (kN) T_GF=U_GF.T_C T_GF=[(U) GFx T_CDx )+[[(UJ_GFy T_CDy )+[(1 T_GF i+ k The magnitude 7 of the projection of T onto line OD:- 00 kN k T_OD=U_OD.T_C U_OD=r_OD/[r_OD] =((x_D-x_0 )i+(y_D-y_0 )+(Z_D-Z_O))/√([(x_D-x_0)^2+ (y_D_y_0 k T_OD=U_OD-T_C T_OD=[(U) ODx T_CDx )+[[(UJ_ODy T_CDy )+[ T_OL
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