How Do I Find the Missing Values for Unknown Weights in a Pulley System?

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SUMMARY

The discussion centers on solving for unknown weights in a pulley system using force vectors. The participant initially approached the problem incorrectly by utilizing unit vectors but later realized the solution required a simpler application of trigonometric properties. The professor's method involved sine and cosine functions to determine angles, while the participant used tangent functions, leading to confusion about precision in calculations. Ultimately, the participant successfully completed the problem and shared their solution for further insights.

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Homework Statement


Am I heading in the right direction?
If so i am lost now in finding the missing values for the unknown weights, a little nudge would be great. The work that i have attached is CLEANED up so it can be readable.


Homework Equations





The Attempt at a Solution


 

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I finally was able to complete this problem.
First i was going in the wrong direction using unit vectors. I found out that it was a simple force vector problem. Bottom line i was over thing and making it out to be more complicated then it really was, but it was comforting to find out that i was not the only one :-) But anyway I am going to attached my solution. The professor did not use angles in his solution as i did he just used the properties of find the angle sine=opp/hyp and cos=adj/hyp. I used tan to find the angles as you can see. The one that that confuses me is how precise is precise?
Thank youI am new on here and i see that this would be a good place for practice.
 

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