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This problem explores the nonlinear pendulum discussed qualitatively in Conceptual Example 13.1. You can tackle this problem if you have experience with your calculator’s differential-equation solving capabilities or if you’ve used a software program like Mathematica or Maple that can solve differential equations numerically. On page 228 we wrote Newton’s law for a pendulum in the form I d2θ/dt2 = −mgL sin θ. (a) Rewrite this equation in a form suitable for a simple pendulum, but without making the approximation
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