Physics: Two pulley tension problem

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Please help me with attached problem.

Thanks in advance

1. Force Table is set up with 2 pulleys at 50 degrees and at 170 degrees as shown.

A total of 200 grams is suspended from the pulley at 50 degrees and a total of 300 grams is suspended from the pulley at 170 degrees. A third string, tied to the big ring, is attached to a force probe, and the probe is pulled so that the big ring is in the equilibrium with center of the force table.

Find: the magnitude of the tension force that the two shown strings exert on the ring.

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Force_Table_Pronblem.doc

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Response:
To include diagrams and equations in this response, I have attached the solution and explanation as a PDF document called Attachment #1.
The physics needed for this solution is the fact that when the ring is in ...

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Diagram and explanation complete with calculations are provided.

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