Solve Problem 13.30 for a simple pendulum: [ddot{theta}+omega_{n}^{2} sin theta=0] Data From Problem 13.30:- Identify the singularity
Question:
Solve Problem 13.30 for a simple pendulum:
\[\ddot{\theta}+\omega_{n}^{2} \sin \theta=0\]
Data From Problem 13.30:-
Identify the singularity and investigate the nature of solution near the singularity for an undamped system with a hard spring:
\[\ddot{x}+\omega_{n}^{2}\left(1+k^{2} x^{2}\right) x=0\]
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