A turntable of radius R=2.00 m and mass M=32.0 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4x rad/s. The fixed turntable bearing is frictionless. The turn table is in the shape of a uniform disc with the moment of inertia of this turntable being I = 0.5*MR?. kgm?/s? kgm/s? (a) What is the magnitude of angular momentum of this turntable? Answer: (b) What is the (magnitude of) the momentum of this turntable? Answer: Now a lump of clay of mass m=2.48 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to a point 1.90 m from the axis (c) Find the final angular speed of the clay and turntable. Answer: rad/s

College Physics
10th Edition
ISBN:9781285737027
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter8: Rotational Equilibrium And Rotational Dynamics
Section8.7: Angular Momentum
Problem 8.5QQ: A horizontal disk with moment of inertia I1 rotates with angular speed 1 about a vertical...
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A turntable of radius R=2.00 m and mass M=32.0 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4x rad/s. The fixed turntable bearing is frictionless. The turn table is
in the shape of a uniform disc with the moment of inertia of this turntable being I
0.5*MR?.
%D
(a) What is the magnitude of angular momentum of this turntable? Answer:
kgm2/s?
(b) What is the (magnitude of) the momentum of this turntable? Answer:
kgm/s?
Now a lump of clay of mass m=2.48 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to a point 1.90 m from the axis
(c) Find the final angular speed of the clay and turntable. Answer:
rad/s
Transcribed Image Text:A turntable of radius R=2.00 m and mass M=32.0 kg rotates counterclockwise in a horizontal plane with an initial angular speed of 4x rad/s. The fixed turntable bearing is frictionless. The turn table is in the shape of a uniform disc with the moment of inertia of this turntable being I 0.5*MR?. %D (a) What is the magnitude of angular momentum of this turntable? Answer: kgm2/s? (b) What is the (magnitude of) the momentum of this turntable? Answer: kgm/s? Now a lump of clay of mass m=2.48 kg and negligible size is dropped onto the turntable from a small distance above it and immediately sticks to a point 1.90 m from the axis (c) Find the final angular speed of the clay and turntable. Answer: rad/s
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