Solved: A bead with mass m slides along a thin wire whose shape is described by the

Chapter 10, Problem 4

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A bead with mass m slides along a thin wire whose shape is described by the function z f(x). When f(x1) 0, f (x1) 0, and the system is undamped, the critical point X1 (x1, 0) is a center. Estimate the period of the bead when x(0) is near x1 and x(0) 0.

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