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  4. Two particles A, B are moving on two concentric circles of radii R1 and R2 with equal angular speed Ω. At t = 0, their positions and direction of motion are shown in the figure: The relative velocity vec∈A - vec∈B at t = (π/2 Ω) is given by :

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Q. Two particles $A, B$ are moving on two concentric circles of radii $R_1$ and $R_2$ with equal angular speed $\Omega$. At $t = 0$, their positions and direction of motion are shown in the figure : The relative velocity $\vec{\in}_A \, - \, \vec{\in}_B \, at \, t \, = \, \frac{\pi}{2 \Omega}$ is given by :Physics Question Image

JEE MainJEE Main 2019Motion in a Plane

Solution:

$\theta \, = \, \omega t \, = \, \omega \frac{\pi}{2\omega} \, = \frac{\pi}{2}$
$\vec V_A \, - \, \vec V_S \, = \omega R_1 (-\hat{i}) \, - \omega R_2(-i)$

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