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 R.

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter10: Virtual Work And Potential Energy
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Problem 10.10P
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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
В
www
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
Transcribed Image Text: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 В www 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
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