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String one has 25 g on its mass hanger and is located at an angular position of 0. String two has 38 g of mass

String one has 25 g on its mass hanger and is located at an angular position of 0. String two has 38 g of mass on the mass hanger and is located at an angular position of 180. Is there a third string that can be added such that it brings the system into equilibrium if the angular position of this third string is not 0 or 180? Support your answer with a detailed explanation or mathematical analysis

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