Question on elementary statics multiple choice

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Homework Help Overview

The discussion revolves around a statics problem involving torque calculations. The original poster attempts to solve for tension in a system using the sum of torques equation, but finds their result does not match any provided answer choices.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss the original poster's torque equation and the resulting tension expression. Some question the validity of the answer choices, suggesting a possible typo in the options provided.

Discussion Status

There is an ongoing exploration of the problem, with participants considering the implications of a potential typo in the answer choices. Some express frustration with the quality of the test authors, indicating a lack of consensus on the correctness of the provided answers.

Contextual Notes

The original poster is working under the constraints of a multiple-choice format, which may limit the exploration of alternative solutions or interpretations.

RoboNerd
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Homework Statement


Untitled 2.jpg


Homework Equations


sum of torques = 0

The Attempt at a Solution


So I tried to put the torques into the equation:

Sum torques = mgL - T *sin(theta) * (L-x) = 0.

Solving for the T gave me [mgL]/[ (L-x) * sin(theta) ]. This is not an option in the answers.
Could anyone please help me out in understanding where I possibly derailed, and why the authors think the answer is 4. Thanks in advance!
 
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What if answer 4) has a typo, and it should read: ##\frac{mgL}{(L-x)sin\, \theta}## ?
 
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If yes, then that is the answer. The test questions are written by some crummy authors [thanks a lot whoever you are!]
 
Thanks for the help!
 

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