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 = 66 lb, F₂ = 81 lb, F3=32 lb, F4 = 72 lb, a = 84 in., b = 63 in., and 0 = 45°

Structural Analysis
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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 = 66 lb, F2 = 81 lb, F3 = 32 lb, F4 = 72 lb, a = 84 in., b = 63 in., and 0 = 45%
F
F₂
F₁
Answers:
(a) The force-couple system at O:
R=
Mo=
197.912
1.345
On the x-axis x =
On the y-axis y =
6.80
B.
(b) The line of action of the single resultant R:
16.232
F,
i+ i
k lb-in.
Ꮎ
82.912
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 = 66 lb, F2 = 81 lb, F3 = 32 lb, F4 = 72 lb, a = 84 in., b = 63 in., and 0 = 45% F F₂ F₁ Answers: (a) The force-couple system at O: R= Mo= 197.912 1.345 On the x-axis x = On the y-axis y = 6.80 B. (b) The line of action of the single resultant R: 16.232 F, i+ i k lb-in. Ꮎ 82.912 in. in. j) lb
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