How Do I Minimize Cable Tension in Engineering Mechanics?

AI Thread Summary
To minimize cable tension in engineering mechanics, it's essential to determine the angle α that results in the smallest tension for cable BC. A right triangle of forces is crucial for achieving minimal force. The discussion emphasizes the importance of constructing a free body diagram for boom AC to analyze the forces effectively. Participants suggest that visualizing the problem through diagrams can aid in solving for the angle and tension values. Proper setup and understanding of force components are key to finding the solution.
CivilSigma
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Homework Statement


For the structure and loading of Prob. P2.46 a) determine the value of \alpha for which the tension in cable BC is as small as possible b) the corresponding value of the tension

(Please see attachement of diagram).

Homework Equations


Finding the components of forces, or constructing a triangle of forces - I know how to do b) but not a)

The Attempt at a Solution


I remember my professor mentioning that in order for a force to be as small as possible, we need to have the triangle of forces in a right angle triangle. I do not know how to setup the problem, if someone can help me with that I would appreciate it.

Thanks!
 

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Why don't you start by setting up a free body diagram of the boom AC?
 

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