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Conservation of Angular Momentum in a Collision

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A solid disk of moment of inertia I₁ rotates with angular velocity ω₁. It collides with and sticks to a stationary ring with moment of inertia I₂. After the collision, the combined system rotates with a final angular velocity ω₃. Which expression correctly represents the conservation of angular momentum for this system?

A

I₁ω₁ = (I₁ + I₂)ω₃

B

I₁ω₁ = I₁ω₃ + I₂ω₃

C

I₁ω₁² = (I₁ + I₂)ω₃²

D

I₁ω₁² + I₂ω₂² = (I₁ + I₂)ω₃²

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