A uniform cylindrical turntable of radius 1.70 m and mass 29.1 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4π rad/s. The fixed turntable bearing is frictionless. A lump of clay of mass 2.31 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.
(a) Find the final angular speed of the clay and turntable.
magnitude=_______ | rad/s |
(b) Is mechanical energy of the turntable-clay system constant in this process?
What, if any, is the change in internal energy?
=________ J
(c) Is momentum of the system constant in this process?
What, if any, is the amount of impulse imparted by the bearing?
magnitude=______ | kg · m/s |
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