7. An aluminum disk has a mass m, radius R, and area A. It has an area mass density (mass per unit area) which varies with distance from the center of the disk and can be describe by o=ar, where r is the distance from the center of the disk and a is a constant. (a) What are the units of a? (b) What is the moment of inertia of the disk about an axis through the center?

Physics for Scientists and Engineers with Modern Physics
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ISBN:9781337553292
Author:Raymond A. Serway, John W. Jewett
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Chapter10: Rotation Of A Rigid Object About A Fixed Axis
Section: Chapter Questions
Problem 42AP: Review. A spool of wire of mass M and radius R is unwound under a constant force F (Fig. P10.42)....
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7. An aluminum disk has a mass m, radius R, and area A. It has an area mass density (mass per unit
area) which varies with distance from the center of the disk and can be describe by o=ar, where r is the
distance from the center of the disk and a is a constant.
(a) What are the units of a?
(b) What is the moment of inertia of the disk about an axis through the center?
Transcribed Image Text:7. An aluminum disk has a mass m, radius R, and area A. It has an area mass density (mass per unit area) which varies with distance from the center of the disk and can be describe by o=ar, where r is the distance from the center of the disk and a is a constant. (a) What are the units of a? (b) What is the moment of inertia of the disk about an axis through the center?
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