Why is the necessary for a pendulum performing simple harmonic motion that its amplitude be less than its length?
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Answer
Since $T=2 \pi \sqrt{\frac{l}{g}}$ in the formula of that $(\sin \theta=$ $\theta$ ) hence it is true only when $\theta$ is very small i.e. the dimension is less in comparison to the length $ \because \quad \theta=\frac{\text { dimension }}{\text { length }} $
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