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The angular velocity of the combination of discs is

1. (a) (I₁ + I₂)ω / I₁
2. (b) I₂ω / (I₁ + I₂)
3. (c) ω
4. (d) I₁ω / (I₁ + I₂)

Correct answer: (b) I₂ω / (I₁ + I₂)

Solution

Using the conservation of angular momentum, the initial angular momentum (I₁ω) equals the final angular momentum ((I₁ + I₂)ω'). Solving for ω', we get ω' = I₁ω / (I₁ + I₂).

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