Rotation 2 Question 23

23. 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 an angular velocity ω. Another disc of the same dimensions but of mass M/4 is placed gently on the first disc coaxially. The angular velocity of the system now is 2ω/5.

(1986,3M)

Analytical & Descriptive Questions

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Answer:

Correct Answer: 23. F

Solution:

  1. I1ω1=I2ω2

∴ω2=I1I2⋅ω1=MR22MR22+M4⋅R22ω=45ω

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