#2 Member OA is restrained from twisting bycable AC. All dimensions and coordinatessystems are as shown.Write an expression for the unknown Tensionin cable AC (hint: use unit vectors!)Dy160 mm100 mmB40 N-m190 mmA60°220 mmX

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Answered: Write an expression for the unknown…

Engineering

Mechanical Engineering

Write an expression for the unknown Tension in cable AC (hint: use unit vectors!)

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.73P

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Question

#2 Member OA is restrained from twisting by
cable AC. All dimensions and coordinates
systems are as shown.
Write an expression for the unknown Tension
in cable AC (hint: use unit vectors!)
D
y
160 mm
100 mm
B
40 N-m
190 mm
A
60°
220 mm
X

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Step 1: Calculate the coordinate points for point A and C with respect too origin O.

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Step 2: Draw the position vector and tension force vector and their coordinates.

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Step 3: Calculate the position vector of point A and unit vector along AC.

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Step 4: Calculate the tension force vector along AC.

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Step 5: Calculate the moment vector and its magnitude due to tension force in the cable AC.

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Step 6: Under equilibrium condition, net moment for member OA will be zero.

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Solution

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