A cable and a spring are connected together at point B and held in equilibrium by a vertical force F, as shown in the figure below. The cable has a length LAB = 1 ft and is oriented at an angle = 30° from the horizontal, and the spring has a spring constant k = 25 lb/ft. Note that the cable and unstretched spring were initially aligned horizontally between points A and C before loading, with a combined length of Lw= 2 ft. Determine the force in the spring (FBC) and the applied force F. W

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter10: Virtual Work And Potential Energy
Section: Chapter Questions
Problem 10.59P: The weight of the uniform bar AB is W. The stiffness of the ideal spring attached to B is k, and the...
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A cable and a spring are connected together at point B and held in equilibrium by a vertical force F, as shown
in the figure below. The cable has a length LAB = 1 ft and is oriented at an angle 0 = 30° from the
horizontal, and the spring has a spring constant k = 25 lb/ft. Note that the cable and unstretched spring
were initially aligned horizontally between points A and C before loading, with a combined length of
Lw=2 ft. Determine the force in the spring (FBC) and the applied force F.
A 'Ө
=
B
F
FBC
number (rtol=0.01, atol=1e-05)
F = number (rtol=0.01, atol=1e-05)
Lu
W
lb
lb
wwwwwww
k
с
Transcribed Image Text:A cable and a spring are connected together at point B and held in equilibrium by a vertical force F, as shown in the figure below. The cable has a length LAB = 1 ft and is oriented at an angle 0 = 30° from the horizontal, and the spring has a spring constant k = 25 lb/ft. Note that the cable and unstretched spring were initially aligned horizontally between points A and C before loading, with a combined length of Lw=2 ft. Determine the force in the spring (FBC) and the applied force F. A 'Ө = B F FBC number (rtol=0.01, atol=1e-05) F = number (rtol=0.01, atol=1e-05) Lu W lb lb wwwwwww k с
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