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Question
Initial angular velocity of a circular disc of mass $M$ is ${\omega _1}.$ Then two small spheres of mass $m$ are attached gently to diametrically opposite points on the edge of the disc. What is the final angular velocity of the disc?
$\left( {{{M + m} \over M}} \right)\,\,{\omega _1}$
$\left( {{{M + m} \over m}} \right)\,\,{\omega _1}$
$\left( {{M \over {M + 4m}}} \right)\,\,{\omega _1}$
$\left( {{M \over {M + 2m}}} \right)\,\,{\omega _1}$

Solution

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