When the magnitude of tension Tis not constant, then a model for the deflection curve or

Chapter 3, Problem 28

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When the magnitude of tension Tis not constant, then a model for the deflection curve or shape y(x) assumed by a rotating string ia given by ![ T(x) :J + p 0.25, show that the critical speeds of angular rotation are ',. = iv'<4n2 + t)lp and the corresponding deflections are y,.(x) = C;2X-112sin(mrln x), n = 1, 2, 3, .... (b) Use a graphing utility to graph the deflection curves on the interval [l, e] for n = 1. 2. 3. Choose c2 = 1.

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