A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with angular velocity ω: Another disc of same dimensions but of mass M/4 is placed gently on the first disc co-axially. The angular velocity ω’of the system is

A thin uniform circular disc of mass M and radius R is rotating in a horizontal plane about an axis passing through its centre and perpendicular to its plane with angular velocity ω: Another disc of same dimensions 

but of mass M/4 is placed gently on the first disc co-axially. The angular velocity ω'of the system is

  1. A

    2ω

  2. B

    (4/5)ω

  3. C

     (3/4) ω

  4. D

    (1/3)ω

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    Solution:

    Applying the law of conservation of angular momentum, we have
    12MR2ω=12MR2+12M4R2ωω=54ω  or  ω=45ω

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