Question

A uniform cylindrical turntable of radius R and mass M rotates counterclockwise in a horizontal plane with an initial angular speed of ω. The fixed turntable bearing is frictionless. The moment of inertia of this turntable is I=1⁄2MR2....

it is now known that R=1.7m, M=26.0 kg, and ω=4π rad/s initially. At a certain moment, a lump of clay of mass 2.33 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to the turntable at a point 1.60 m to the east of the axis. Find the final angular velocity of the clay and turntable.

what is the change of kinetic energy of the turntable-clay system in the process?

what is the amount (magnitude) of impulse imparted by the bearing in the process?

Answer 1