Compare Eq. (727) for the angular frequency of a two-disk shaft with Eq. (728), and note that

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Compare Eq. (7–27) for the angular frequency of a two-disk shaft with Eq. (7–28), and note that the constants in the two equations are equal.
(a) Develop an expression for the second critical speed.
(b) Estimate the second critical speed of the shaft addressed in Ex. 7–5, parts a and
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