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Part of a control linkage for an airplane consists of a rigid member CB and a flexible cable AB Originally the cable is unstretched.

Part of a control linkage for an airplane consists of a rigid member CB and a flexible cable AB Originally the cable is unstretched. If a force is applied to the end B of the member and causes it to rotate by ?=0.58?,
determine the normal strain in the cable.

Answer:Explanation:This question will be solved with the help of diagram(see attachment)Given:Δ∅ = 0.50 degrees(correction)BC = 800 mmAC = 600 mmSolution:We use coordinate system with point C as origin (0,0)Hence,Point A = (600,0)Point B = (0,800)The change in length or displacement can be calculated BB' :BB' = BC * tan (Δ∅) = (800 mm) * tan (0.5) = 6.9815 mmHence, Point B' = (-6.9815,800) and we calculate distance A and BWe calculate distance A and B'Normal Strain in AB is:The solution is :...

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