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A thin and circular disc of mass M and radius R is rotating in a horizontal plane

A thin and 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 ?.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

Options

(a) 5 /4 ω
(b) 2 / 3 ω
(c) 4 / 5 ω
(d) 3 / 2 ω

Correct Answer:

4 / 5 ω

Explanation:

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