A uniform disk of mass and radius spins freely at about its central axle

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

Problem

A uniform disk of mass 4.0 kg4.0\,\text{kg} and radius 0.25 m0.25\,\text{m} spins freely at 6.0 rad/s6.0\,\text{rad/s} about its central axle. A 0.50 kg0.50\,\text{kg} lump of clay is gently dropped onto the rim and sticks to the disk. Neglect any external torques. What is the angular speed of the disk–clay system immediately after the clay sticks? (a) 6.0 rad/s6.0\,\text{rad/s} (b) 3.0 rad/s3.0\,\text{rad/s} (c) 4.8 rad/s4.8\,\text{rad/s} (d) 5.3 rad/s5.3\,\text{rad/s}

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