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  4. A small mass executes linear SHM about O with amplitude a and period T. Its displacement from O at time T / 8 after passing through O is

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Q. A small mass executes linear SHM about $O$ with amplitude $a$ and period $T$. Its displacement from $O$ at time $T / 8$ after passing through $O$ is

Oscillations

Solution:

$x=a \sin \omega t$
$x=a \sin \frac{2 \pi}{T} \times \frac{T}{8} $
or $ x=a \sin \frac{\pi}{4}=\frac{a}{\sqrt{2}}$