Question

A uniform cylindrical turntable of radius 1.70 m and mass 29.1 kg rotates counterclockwise in a...

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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