3-2.Motion in Plane
easy

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 $.................$.

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$x(t)=r \cos \left(\omega t-\frac{\pi}{6} \omega\right)$
(JEE MAIN-2023)

Solution

$x ( t )=r \cos \left(\omega t +30^{\circ}\right)$
$x ( t )=r \cos (\omega t +\pi / 6)$
Standard 11
Physics

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