Consider the period of a nonlinear pendulum. Let the length be (L=1.0) (mathrm{m}) and (g=9.8 mathrm{~m} /

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Consider the period of a nonlinear pendulum. Let the length be \(L=1.0\) \(\mathrm{m}\) and \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\). Sketch \(T\) versus the initial angle \(\theta_{0}\), and compare the linear and nonlinear values for the period. For what angles can you use the linear approximation confidently?

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