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QAIPMT-2003-Ph-2743: NEET 2003 Physics - Class 11 AIPMT-2003-Ph-2743 Solution: A thin circular ring of mass M and radius r is rotating about…

A thin circular ring of mass M and radius r is rotating about its axis with a constant angular velocity

\omega

. Four objects each of mass m, are kept gently to the opposite ends of two perpendicular diameters of the ring. The angular velocity of the ring will be:

Multiple Choice Options

A $\frac{M\omega}{4m}$
B $\frac{M\omega}{M+4m}$
C $\frac{(M+4m)\omega}{M}$
D $\frac{(M-4m)\omega}{M+4m}$

Step-by-Step Verified Solution

Applying conservation law of angular momentum, I 1 _ 1 = I 2 _ 2 I 2 = ( M r 2 ) + 4 ( m ) ( r 2 ) = ( M + 4 m ) r 2 (Taking _ 1 = _ and _ 1 = _ 1 ) _ M r 2 _ = ( M + 4 m ) r 2 _ 1 _ _ 1 = M _ M + 4 m

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