A horizontal disk of radius 0.6 m rotates freely about a vertical axis through its center with an angular speed of 1.5 rad/s. The rotational inertia of the disk is 4×104 kg.m?. Two wads of wet putties having masses 0.02 kg and 0.05 kg drop vertically on the disk from above and stick to the disk as shown in the figure at the same time. 6. a) What is the rotational inertia of the disk + putties system? b) What is the angular speed of the disk immediately after the two putties stick to it?

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Chapter1: Units, Trigonometry. And Vectors
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A horizontal disk of radius 0.6 m rotates freely about a vertical axis through its center with an angular
speed of 1.5 rad/s. The rotational inertia of the disk is 4×10 kg.m?. Two wads of wet putties having masses 0.02 kg
and 0.05 kg drop vertically on the disk from above and stick to the disk as shown in the figure at the same time.
6.
a) What is the rotational inertia of the disk + putties system?
b) What is the angular speed of the disk immediately after the two putties stick to it?
m2 = 0.05 kg
m1 = 0.02 kg
Answers: a) 8.1x10³ kgm² ; b) 0.074 rad/s
0.1 m
R = 0.6 m
Transcribed Image Text:A horizontal disk of radius 0.6 m rotates freely about a vertical axis through its center with an angular speed of 1.5 rad/s. The rotational inertia of the disk is 4×10 kg.m?. Two wads of wet putties having masses 0.02 kg and 0.05 kg drop vertically on the disk from above and stick to the disk as shown in the figure at the same time. 6. a) What is the rotational inertia of the disk + putties system? b) What is the angular speed of the disk immediately after the two putties stick to it? m2 = 0.05 kg m1 = 0.02 kg Answers: a) 8.1x10³ kgm² ; b) 0.074 rad/s 0.1 m R = 0.6 m
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