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 OD1 m,T = 8.6 kNa =0.5 mb=C =2 m1m1mGExpression of T as a vector:TCD= TUCDICDUCD= IrcplUCD=B 1.5 m/C0.5 m3 m1.5 mi+2 mE(XD-Xc)i+(VD-yc)+(ZD-Zc)(XD-XC)+(YD-yC²+ (zp-zc)²10.00T= 8.6 kNk U_CDT_CDThe magnitude TGF of the projection of T onto line GF:-U_GFU_GFT_GF=U_GF.T_CU_GF=r_GF/|r_GF | =((x_F-x_G)i+(y_F-y_Gi+i+U_ODU_ODkNk0k (kN)T_GF=U_GF.T_CT_GF=[(U) GFx T_CDx )+[[(UJ_GFy T_CDy )+[(1T_GFi+kThe magnitude 7 of the projection of T onto line OD:-00kNkT_OD=U_OD.T_CU_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_0kT_OD=U_OD-T_CT_OD=[(U) ODx T_CDx )+[[(UJ_ODy T_CDy )+[T_OL

Answered: 1m, 1m B m 1.5 m/c 0.5 m 3 m 1.5 m 2 m…

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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.

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Question

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

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