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Can every oscillatory motion be treated as SHM in the limit of small amplitude?

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To determine whether every oscillatory motion can be treated as simple harmonic motion (SHM) in the limit of small amplitude, we can analyze the conditions under which SHM occurs. ### Step-by-Step Solution: 1. **Understanding Oscillatory Motion**: - Oscillatory motion refers to any motion that repeats itself in a regular cycle. Examples include a pendulum swinging or a mass on a spring. 2. **Defining Simple Harmonic Motion (SHM)**: ...
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