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An object with moment of inertia ?1 = 9.7 ? 10−4 ?? ∙ ?2 rotates at...

An object with moment of inertia ?1 = 9.7 ? 10−4 ?? ∙ ?2 rotates at a speed of 3.0 ???/?. A 20 ? mass with moment of inertia ?2 = 1.32 ? 10−6 ?? ∙ ?2 is dropped onto the rotating object at a distance of 5.0 ?? from the center of mass. What is the angular velocity of the combined object and mass after the drop?

Please don't forget to state the combined mass after the drop!!!

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