Question 1 If the tension in the cable is F, determine the magnitude of the moment produced by this force about the hinged axis, CD, of Given:- 1.2 m 1.2 m F = 250 kN a = 1 m b = 1 m B. C = 1 m 1.8 m D 1.8 m 1.8 m

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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Subject: engineering statics
Thus, the magnitude of the moment of Fabout the CD axis is given by:-
Uco
Mo = Ucp • Ta x F =
CAx
CAy
CA
F,
F,
kNm
Or
Mp = Up Tou x F =
Fx
Fy
F.
kNm
Transcribed Image Text:Thus, the magnitude of the moment of Fabout the CD axis is given by:- Uco Mo = Ucp • Ta x F = CAx CAy CA F, F, kNm Or Mp = Up Tou x F = Fx Fy F. kNm
12
Question 1
13
14
If the tension in the cable is F , determine the magnitude of the
moment produced by this force about the hinged axis, CD, of
15
16
17
Given:-
1.2 m
18
1.2 m
19
F = 250 kN
20
a =
1 m
21
b =
1 m
22
C =
1 m
23
1.8 m
24
F:
25
26
1.8 m
1.8 m
27
28
29
30
Moment about the CD axis: Use either position vector rCA or rCB
31
32
rCA
i +
k
%3D
+
33
34
rDB
i +
%3D
+
k
35
36
37
The force vector F;
38
F= FUAB= 250 kN
li +
39
+
k
40
41
FUAB=
k
42
43
The unit vector uCD that specifies the direction of the CD axis is given by:-
44
45
uCD
i
+
+
46
Transcribed Image Text:12 Question 1 13 14 If the tension in the cable is F , determine the magnitude of the moment produced by this force about the hinged axis, CD, of 15 16 17 Given:- 1.2 m 18 1.2 m 19 F = 250 kN 20 a = 1 m 21 b = 1 m 22 C = 1 m 23 1.8 m 24 F: 25 26 1.8 m 1.8 m 27 28 29 30 Moment about the CD axis: Use either position vector rCA or rCB 31 32 rCA i + k %3D + 33 34 rDB i + %3D + k 35 36 37 The force vector F; 38 F= FUAB= 250 kN li + 39 + k 40 41 FUAB= k 42 43 The unit vector uCD that specifies the direction of the CD axis is given by:- 44 45 uCD i + + 46
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