For particle $P$ revolving round the centre $O$ with radius of circular path $r$ and angular velocity $\omega$, as shown in below figure, the projection of $OP$ on the $x$-axis at time $t$ is $.................$.
For particle $P$ revolving round the centre $O$ with radius of circular path $r$ and angular velocity $\omega$, as shown in below figure, the projection of $OP$ on the $x$-axis at time $t$ is $.................$.
- [JEE MAIN 2023]
- A
$x(t)=r \cos \left(\omega t+\frac{\pi}{6}\right)$
- B
$x(t)=r \cos (\omega t)$
- C
$x(t)=r \sin \left(\omega t+\frac{\pi}{6}\right)$
- D
$x(t)=r \cos \left(\omega t-\frac{\pi}{6} \omega\right)$
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