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A thin uniform circular disc of mass M a...

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 `omega.` 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 `2 omega //sqrt5.`

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To solve the problem, we will use the principle of conservation of angular momentum. ### Step-by-Step Solution: 1. **Identify the Initial Angular Momentum (L_initial)**: The initial angular momentum of the system is due to the first disc alone since the second disc is placed gently on it. The angular momentum (L) of a rotating disc is given by the formula: \[ L = I \omega ...
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