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 = 80 lb. F2 = 73 lb, F3 = 40 lb. F4-75 lb. a=91 in, b = 66 in., and 0 = 40° |A F₁₂ b Answers: (a) The force-couple system at O. R = (211 Mo= 165 B. C F₁ F₁ i+ 88.2 j)lb klb-in. (b) The line of action of the single resultant R: On the x-axis x= i 186 in. On the y-axis y= i -78.1 in.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
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 = 80 lb. F2 = 73 lb, F3 = 40 lb. F4-75 lb. a=91 in, b = 66 in., and 0 = 40°
|A
F₁₂
b
Answers:
(a) The force-couple system at O.
R =
(211
Mo=
165
B.
C
F₁
F₁
i+
88.2
j)lb
klb-in.
(b) The line of action of the single resultant R:
On the x-axis x=
i
186
in.
On the y-axis y=
i
-78.1
in.
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 = 80 lb. F2 = 73 lb, F3 = 40 lb. F4-75 lb. a=91 in, b = 66 in., and 0 = 40° |A F₁₂ b Answers: (a) The force-couple system at O. R = (211 Mo= 165 B. C F₁ F₁ i+ 88.2 j)lb klb-in. (b) The line of action of the single resultant R: On the x-axis x= i 186 in. On the y-axis y= i -78.1 in.
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