Physics - SHM Question with Solution | TestHub

Using the equation of SHM,
$\mathit{\text{x}}\left(\mathit{\text{t}}\right)=\mathit{\text{A}}\text{ sin }\omega \mathit{\text{t}}$(from the equilibruim position)

At$\mathit{\text{x}}\left(\mathit{\text{t}}\right)=\mathit{\text{A}}/2$

$\therefore \frac{A}{2}=A\text{ sin }\left(\omega t\right)$

$\text{sin}\left(\frac{\pi }{6}\right)=\text{sin}\left(\omega t\right)\text{or,}\frac{\pi }{6}=\frac{2\pi t}{T}\left[\because \omega =\frac{2\pi }{T}\right]$

or,$\mathit{\text{t}}=\mathit{\text{T}}/\text{12}$.