A thin circular ring of mass M and radius R is rotating with a… | JEE Main 2022 (26 Jun, Shift 1)

Q43JEE Main 2022 · 26 JUN · SHIFT 1Medium

Angular Momentum & its Conservation

A thin circular ring of mass M and radius R is rotating with a constant angular velocity 2 rads ${}^{-1}$ in a horizontal plane about an axis vertical to its plane and passing through the center of the ring. If two objects each of mass m be attached gently to the opposite ends of a diameter of ring, the ring will then rotate with an angular velocity (in rads ${}^{-1}$ ).

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Answer: (c)

Conservation of $L$ : $MR^2(2) = (M+2m)R^2\omega'$ .
$\omega' = \frac{2M}{M+2m}\ \text{rad s}^{-1}$
So the answer is (c) $\frac{2M}{(M+2m)}$ .

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