A thin, very light wire is wrapped around a drum that is free to rotate. The free end of the wire is attached to a ball of mass m. The drum has the same mass m. Its radius Is R and its moment of inertia is I = (1/2)mR. As the ball falls, the drum spins. At an instant that the ball has translational kinetic energy K, what is the rotational kinetic energy of the drum? Drum m O a. none of these. Ob. K/2 Oc.2K O d. K Oe. K/4

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Chapter10: Fixed-axis Rotation
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A thin, very light wire is wrapped around a drum that is free to rotate. The free end of the wire is attached to a ball of mass m. The drum has the
same mass m. Its radius is R and its moment of inertia is I= (1/2)mR. As the ball falls, the drum spins.
At an instant that the ball has translational kinetic energy K, what is the rotational kinetic energy of the drum?
Drum
m
a. none of these.
b. К /2
с. 2К
O d. K
O . К/4
Transcribed Image Text:A thin, very light wire is wrapped around a drum that is free to rotate. The free end of the wire is attached to a ball of mass m. The drum has the same mass m. Its radius is R and its moment of inertia is I= (1/2)mR. As the ball falls, the drum spins. At an instant that the ball has translational kinetic energy K, what is the rotational kinetic energy of the drum? Drum m a. none of these. b. К /2 с. 2К O d. K O . К/4
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