If the tension in the cable is F , detemine the magnitude of the moment produced by this force about the hinged axis, CD, of the Given:- 11m 11m F= 550 kN a= 1.1m b= 1.4m C= 1.4m B. 550 kN 14 m F: 1.4m 1.4m Moment about the CD axis: Use either position vector ra or ra j+ k The force vector F; F= Fu = 550 kN k Fu= k %3D

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter4: Coplanar Equilibrium Analysis
Section: Chapter Questions
Problem 4.153P: Repeat Prob. 4.152 assuming that the 400-kN force is applied at O instead of L.
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If the tension in the cable is F , detemine the magnitude of the
moment produced by this force about the hinged axis, CD, of the
Given:-
11m
11m
F= 550 kN
a =
1.1m
b= 1.4m
B.
C=
1.4m
550 kN
14 m
FA
1.4m
1.4m
Moment about the CD axis: Use either position ve ctor ra or rca
Tos
j +
k
%3D
The force vector F;
E. Fu.- 550 age
F = Fu = 550 kN
k
Fu=
k
II
Transcribed Image Text:If the tension in the cable is F , detemine the magnitude of the moment produced by this force about the hinged axis, CD, of the Given:- 11m 11m F= 550 kN a = 1.1m b= 1.4m B. C= 1.4m 550 kN 14 m FA 1.4m 1.4m Moment about the CD axis: Use either position ve ctor ra or rca Tos j + k %3D The force vector F; E. Fu.- 550 age F = Fu = 550 kN k Fu= k II
The unit vector u, that specifies the direction of the CD axis is given by:-
k
Thus, the magnitude of the moment of Fabout the CD axis is given by:-
McD = Uco • rCA X F=
F.
Mco
kNm
Or
Uc
Mco = Uco • roe x F=
Fy
Mco=
kNm
Transcribed Image Text:The unit vector u, that specifies the direction of the CD axis is given by:- k Thus, the magnitude of the moment of Fabout the CD axis is given by:- McD = Uco • rCA X F= F. Mco kNm Or Uc Mco = Uco • roe x F= Fy Mco= kNm
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