PEARSON ETEXT ENGINEERING MECH & STATS
15th Edition
ISBN: 9780137514724
Author: HIBBELER
Publisher: PEARSON
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The ring at B is supported in equilibrium by spring AB, a cable running through the frictionless pulley at
C, and cable BD. The pulley radius is 0.0267 m, and the unstretched length of spring AB is 0.24 m. If F1
= 340 N and F2 = 200 N at 0 = 50 degrees, determine the spring constant k and the force exerted on the
ring by cable BD expressed in Cartesian components.
F1
C
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d
k
A
F2
D
Values for dimensions on the figure are given in the following table. Note the figure may not be to scale.
Variable Value
a
0.400 m
0.160 m
0.267 m
d.
0.107 m
Note the figure may not be to scale.
k =
N/m
F BD =
) N
9
Assume the following equilibrium equations.
x-direction: − 0.65 ⋅ A C + 0.35 ⋅ A D = 0
y-direction: − 0.35 ⋅ A C − 0.45 ⋅ A D + 12 = 0
z-direction: A B + 0.65 ⋅ A C + 0.65 ⋅ A D − 25 = 0
a) Determine the tension in kN in cable AB. (Give your answer to 0 decimal places.)
b) Determine the tension in kN in cable AC. (Give your answer to 0 decimal places.)
c) Determine the tension in kN in cable AD. (Give your answer to 0 decimal places.)
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