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 = 77 lb, F2 = 76 lb, F3 = 48 lb, F4 - 75 lb, a = 81 in., b = 64 in., and 0 = 43° F F₁- F- 9 Answers: R= (a) The force-couple system at O: Mo= IA (i B C F, i+ i k lb-in. 0 -x घ j) lb

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Chapter2: Basic Operations With Force Systems
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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 = 77 lb, F₂ = 76 lb, F3 = 48 lb, F₂ = 75 lb, a = 81 in., b = 64 in., and 0 = 43°
F
F₁-
F₁
b
Answers:
R= (i
Mo=
(a) The force-couple system at O:
O
i
A
On the x-axis x= i
On the y-axis y =
i+
i
B
(b) The line of action of the single resultant R:
C
F₁
k lb-in.
e
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 = 77 lb, F₂ = 76 lb, F3 = 48 lb, F₂ = 75 lb, a = 81 in., b = 64 in., and 0 = 43° F F₁- F₁ b Answers: R= (i Mo= (a) The force-couple system at O: O i A On the x-axis x= i On the y-axis y = i+ i B (b) The line of action of the single resultant R: C F₁ k lb-in. e in. in. j) lb
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