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NEET 2010 (AIPMT, Mains) · Angular Momentum & its Conservation

Angular Momentum & its Conservation question from NEET 2010 (AIPMT, Mains)

Q85NEET 2010 · AIPMT · MAINSMedium

Angular Momentum & its Conservation

A thin circular ring of mass M and radius r is rotating about its axis with constant angular velocity $\omega$ . Two objects each of mass m are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with angular velocity given by

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Answer: (d)

Conservation of $L$ : $I_1\omega = I_2\omega'$ .
$I_1 = Mr^2$ , $I_2 = Mr^2 + 2mr^2 = (M+2m)r^2$ .
$\omega' = \frac{M\omega}{M+2m}$
So the answer is (d) $\frac{M\omega}{M+2m}$ .

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