Engineering Mechanics: Statics
8th Edition
ISBN: 9781118807330
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Textbook Question
Chapter 3.4, Problem 75P
One of the vertical walls supporting end B of the 200-kg uniform shaft of Sample Problem 3/5 is turned through a 300 angle as shown here. End A is still supported by the ball-and-socket connection in the horizontal x-y plane. Calculate the magnitudes of the forces P and R exerted on the ball end B of the shaft by the vertical walls C and D, respectively.
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One of the smooth vertical walls supporting
end B of the 100-kg uniform shaft is turned
through a 40° angle as shown here. End A is
supported by the ball-and-socket connection in
the horizontal x-y plane. Calculate the
magnitudes of the forces P and R exerted on the
ball end B of the shaft by the vertical walls C
and D, respectively.
Assume a = 5.6 m, b = 1.8 m, L = 6.9 m, and 0 =
40°.
A
Answers:
One of the smooth vertical walls supporting end B of the 130-kg uniform shaft is turned through a 35° angle as shown here. End A is
supported by the ball-and-socket connection in the horizontal x-y plane. Calculate the magnitudes of the forces Pand R exerted on
the ball end B of the shaft by the vertical walls Cand D, respectively.
Assume a = 5.1 m, b = 1.6 m, L = 6 m, and 0 = 35°.
D
B
Answers:
P =
i
R=
(a) Revisit the problem and solve for the cable forces TAD, TAC, and reaction force components 0,
Oy, and O₂ by invoking the cross-product formulation of moment equilibrium about point A. (b) An
alternative and powerful approach involves summing moments about a line the line OD. Start with the
vector equation of moment equilibrium about point O (since it lies on OD) and project this equation
along the line OD to solve for the cable tension TAC. Do not solve for any additional reactions.
0.8 m
X
1.6m
Z
D
1.6 m
2
1.IM
D
2m
A
B
y
F = (5î - 12 k) KN
Chapter 3 Solutions
Engineering Mechanics: Statics
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