A uniform disk of mass 4.0kg and radius 0.25m spins freely at 6.0rad/s about its central axle. A 0.50kg 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) 6.0rad/s
b) 3.0rad/s
c) 4.8rad/s
d) 5.3rad/s