Problem #11 (20 points): A uniform, rectangular plate is held in equilibrium by hinges at A and B and by cable EF. Both hinges are properly aligned along the y-axis and exert only force reactions on the plate (i.e. no reaction moments). Additionally, the hinge at B allows motion along the y-axis. The plate has a weight of 75 lb, which acts at point H. Also, the tension in the cable is 49.5 lb. Coordinates for the points are: A = (0, 4, 0); B = (0, 34, 0); E = (20, 30, 0); F = (0, 38, 25); and H = (10, 19, 0) in. x Z 4 in. F A B 4 in. 25 in. H E 30 in. 20 in. y 8 in. Find the reactions at points A and B. You must include a correct FBD to receive full credit.

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter4: Coplanar Equilibrium Analysis
Section: Chapter Questions
Problem 4.125P: The figure shows a three-pin arch. Determine the horizontal component of the pin reaction at A...
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this is an old practice exam, the answer is Ax  = -4, Ay = -12,Az = 32.5, Bx= 34, Bz = 5, By = 0 but how?

Problem #11 (20 points): A uniform, rectangular plate is held in equilibrium by hinges at A and
B and by cable EF. Both hinges are properly aligned along the y-axis and exert only force
reactions on the plate (i.e. no reaction moments). Additionally, the hinge at B allows motion
along the y-axis. The plate has a weight of 75 lb, which acts at point H. Also, the tension in the
cable is 49.5 lb. Coordinates for the points are: A = (0, 4, 0); B = (0, 34, 0); E = (20, 30, 0); F =
(0, 38, 25); and H = (10, 19, 0) in.
x
Z
4 in.
F
A
B
4 in. 25 in.
H
E
30 in.
20 in.
y
8 in.
Find the reactions at points A and B.
You must include a correct FBD to
receive full credit.
Transcribed Image Text:Problem #11 (20 points): A uniform, rectangular plate is held in equilibrium by hinges at A and B and by cable EF. Both hinges are properly aligned along the y-axis and exert only force reactions on the plate (i.e. no reaction moments). Additionally, the hinge at B allows motion along the y-axis. The plate has a weight of 75 lb, which acts at point H. Also, the tension in the cable is 49.5 lb. Coordinates for the points are: A = (0, 4, 0); B = (0, 34, 0); E = (20, 30, 0); F = (0, 38, 25); and H = (10, 19, 0) in. x Z 4 in. F A B 4 in. 25 in. H E 30 in. 20 in. y 8 in. Find the reactions at points A and B. You must include a correct FBD to receive full credit.
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