If the tension in the cable is F , determine the magnitude of the moment produced by this force about the hinged axis, CD, of the panel. Given:- 1m 1m F = 250 kN 1 m 1 m a = b = C = 1 m 250 kN 1m FA 1m 1m A Moment about the CD axis: Use either position vector rCA or rcB rCA i + j + k %3D The force vector F; Page 15 F= FUAB= 250 kN k FUAB= i + k Il || ||

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter2: Basic Operations With Force Systems
Section: Chapter Questions
Problem 2.29P: A moment of 50lbft about O is required to loosen the nut. Determine the smallest magnitude of the...
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If the tension in the cable is F , determine the magnitude of the moment
produced by this force about the hinged axis, CD, of the panel.
Given:-
1m
1m
F =
250 kN
a =
1 m
b =
1 m
1 m
250 kN
1m
1m
1m
A
Moment about the CD axis: Use either position vector rCA or rCB
rCA
i +
i +
j +
k
The force vector F;
Page 15
F= FUAB=
250 kN
k
FUAB=
i +
k
Transcribed Image Text:If the tension in the cable is F , determine the magnitude of the moment produced by this force about the hinged axis, CD, of the panel. Given:- 1m 1m F = 250 kN a = 1 m b = 1 m 1 m 250 kN 1m 1m 1m A Moment about the CD axis: Use either position vector rCA or rCB rCA i + i + j + k The force vector F; Page 15 F= FUAB= 250 kN k FUAB= i + k
The unit vector uco that specifies the direction of the CD axis is given by:-
k
UcD
Thus, the magnitude of the moment of F about the CD axis is given by:-
UcDz
Mo = Uo • ra x F =
CA
Fy
kNm
Or
UCDX
Mo = Uco • rou x F =
Fx
Fy
kNm
D.
F
A
Transcribed Image Text:The unit vector uco that specifies the direction of the CD axis is given by:- k UcD Thus, the magnitude of the moment of F about the CD axis is given by:- UcDz Mo = Uo • ra x F = CA Fy kNm Or UCDX Mo = Uco • rou x F = Fx Fy kNm D. F A
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