*3-40. The spring has a stiffness of k 800 N/m and an unstretched length of 200 mm. Determine the force in cables BC and BD when the spring is held in the position shown. %3D
*3-40. The spring has a stiffness of k 800 N/m and an unstretched length of 200 mm. Determine the force in cables BC and BD when the spring is held in the position shown. %3D
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Complete and do not shortcut the solution, show always the original figure, the free body diagram, the formulas, and the directions of force, and use the proper symbols.
Transcribed Image Text:*3-40. The spring has a stiffness of k = 800 N/m and an
unstretched length of 200 mm. Determine the force in cables
BC and BD when the spring is held in the position shown.
%3D
400 mm
A k 800 N/m B
300 mm
-500 mm
400 mm-
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Step 1
VIEWThe force of the spring can be calculated using Hook’s Law.
VIEWLet us now draw our free body diagram.
VIEWThe angles were calculated using trigonometry, specifically, the inverse of tan (arctan).
VIEWWe can now write our equations of equilibrium.
VIEWLet us solve for FBC and FBD
VIEWSubstitute the value of FBD we just found into eq.3 to find FBC
VIEW
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