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 = 90 lb, F2 = 68 lb, F3 = 45 lb, F4 = 77 lb, a = 84 in., b = 71 in., and 0 = 43° F₁ b Answers: R= (a) The force-couple system at O: i | A Mo = i On the x-axis x = On the y-axis y= (b) The line of action of the single resultant R: i B i i+ i k lb-in. Ө F 4 in. in. j) lb

International Edition---engineering Mechanics: Statics, 4th Edition
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Author:Andrew Pytel And Jaan Kiusalaas
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Chapter2: Basic Operations With Force Systems
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Problem 2.81P: The steering column of the rack-and-pinion steering mechanism lies in the xz-plane. The tube AB of...
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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 = 90 lb, F₂ = 68 lb, F3 = 45 lb, F4 = 77 lb, a = 84 in., b = 71 in., and 0 = 43°.
F
b
Answers:
(a) The force-couple system at O:
R= (i
Mo =
|A
On the x-axis x =
On the y-axis y=
(b) The line of action of the single resultant R:
i
B
i
i+ i
k lb-in.
Ө
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 = 90 lb, F₂ = 68 lb, F3 = 45 lb, F4 = 77 lb, a = 84 in., b = 71 in., and 0 = 43°. F b Answers: (a) The force-couple system at O: R= (i Mo = |A On the x-axis x = On the y-axis y= (b) The line of action of the single resultant R: i B i i+ i k lb-in. Ө in. in. j) lb
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