Four people are attempting to move a stage platform across the floor. If they exert the horizontal forces shown, determine (a) the equivalent force-couple system at O and (b) the points on the x- and y-axes through which the line of action of the single resultant force R passes. Assume F₁ = 67 lb, F₂ = 60 lb, F3 = 49 lb, F4 = 52 lb, a = 82 in., b = 70 in., and 0 = 43% y F. F₂ F₁ Answers: (a) The force-couple system at O: R= A Mo= i On the x-axis x= On the y-axis y= B (b) The line of action of the single resultant R: i i+ k lb-in. 0 in. in. j) lb

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Four people are attempting to move a stage platform across the floor. If they exert the horizontal forces shown, determine (a) the
equivalent force-couple system at O and (b) the points on the x- and y-axes through which the line of action of the single resultant force
R passes.
Assume F₁ = 67 lb, F₂ = 60 lb, F3 = 49 lb, F4 = 52 lb, a = 82 in., b = 70 in., and 0 = 43%
y
F.
F₂
F₁
Answers:
(a) The force-couple system at O:
R=
A
Mo= i
On the x-axis x=
On the y-axis y=
B
(b) The line of action of the single resultant R:
i
i+
k lb-in.
0
in.
in.
j) lb
Transcribed Image Text:Four people are attempting to move a stage platform across the floor. If they exert the horizontal forces shown, determine (a) the equivalent force-couple system at O and (b) the points on the x- and y-axes through which the line of action of the single resultant force R passes. Assume F₁ = 67 lb, F₂ = 60 lb, F3 = 49 lb, F4 = 52 lb, a = 82 in., b = 70 in., and 0 = 43% y F. F₂ F₁ Answers: (a) The force-couple system at O: R= A Mo= i On the x-axis x= On the y-axis y= B (b) The line of action of the single resultant R: i i+ k lb-in. 0 in. in. j) lb
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