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  • simple harmonic oscillator has an amplitude \alpha and time period T. The time required by it to travel from x = \alpha to x = \frac{\alp

Simple harmonic oscillator has an amplitude a and time period T. The time required by it to travel from x = a to x = a/2 is

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        \begin{array}{l} \theta_{i}=\frac{\pi}{2} \\\\ \theta_{f}=\frac{5 \pi}{6} \\\\ \frac{2 \pi}{T} t=\frac{5 \pi}{6}-\frac{\pi}{2} \\\\ =\frac{5 \pi-3 \pi}{6} \\\\ \frac{2 \pi}{T} t=\frac{2 \pi}{6} \\\\ t=\frac{T}{6} \end{array}

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