A thin ring of mass and radius rotates about its symmetry axis at

PHYSICS · Subjective · AP · Physics 1: Algebra-based · Energy and Momentum of Rotating Systems · Energy and Momentum of Rotating Systems

Problem

A thin ring of mass 2.0 kg2.0\,\text{kg} and radius 0.20 m0.20\,\text{m} rotates about its symmetry axis at 6.0 rad/s6.0\,\text{rad/s}. It is gently dropped onto a coaxial solid disk of mass 1.5 kg1.5\,\text{kg} and the same radius that is initially at rest; they quickly couple and rotate together without slipping. Determine their common angular velocity just after they begin rotating as one unit.

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