Solved: A non-rotating uniform disk of mass m and the same radius r, Physics

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A non-rotating uniform disk of mass m and the same radius r

A uniform disk of mass 3M and radius R is rotating on a frictionless axis about its center with initial angular velocity of magnitude ω₀. A non-rotating uniform disk of mass M and the same radius R is dropped directly on top of the spinning mass 3M. Because of friction, the two masses quickly start spinning together and achieve the same final magnitude angular velocity ω_f. What is ω_f?

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Physics: A non-rotating uniform disk of mass m and the same radius r

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