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How might the tension in the string not equal the weight of the hanging mass? What effect would this have on your experimentally determined wavelengths?

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How might the tension in the string not equal the weight of the hanging mass? What effect would this have on your experimentally determined wavelengths? From equation (3) (and the results of the experiment) a change in tension causes a change wavelength. Consider the method used to establish the standing waves as well as any assumptions made regarding the pulley

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