$A$ thin and circular disc of mass $M$ and radius $R$ is rotating in a horizontal plane about its geometrical axis with an angular velocity $\omega$. If another disc of same dimensions but of mass $M/4$ is placed gently on the first disc coaxially,then the new angular velocity of the system is:

  • A
    $5/4 \omega$
  • B
    $2/3 \omega$
  • C
    $4/5 \omega$
  • D
    $3/2 \omega$

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