Question:

A thin 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 w . If another disc of same dimensions but of mass M 2 is placed gently on the first disc co-axially, then the new angular velocity of the system is :

(1) 4/5ω 

(2) 5/4ω

(3) 2/3ω

(4) 3/2ω  

                                                        JEE-2024

Solution:                
A thin 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 w . If another disc of same dimensions but of mass M 2 is placed gently on the first disc co-axially, then the new angular velocity of the system is : (1) 4/5ω (2) 5/4ω (3) 2/3ω (4) 3/2ω JEE-2024

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