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Chapter 13 - 13.59

59. One arm of the balance has length 1 and the other has length 2 . The two cases described in the

problem are expressed (in terms of torque equilibrium) as

m 1 1 = m 2 and m 1 = m 2 2 .

We divide equations and solve for the unknown mass: m = √ m 1 m 2 .