Consider a rotating disk of radius R that has the exotic property that it can change its mass per unit area as a function of r. Initially, its mass per unit area is given by ar³, where a is a constant. What is the moment of inertia of this disk expressed in terms of its mass, M and radius R. T'.

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Consider a rotating disk of radius Rthat has the exotic property that it can change its mass
per unit area as a function of r. Initially, its mass per unit area is given by ar³, where a is a
constant. What is the moment of inertia of this disk expressed in terms of its mass, M and
radius R.
Transcribed Image Text:Consider a rotating disk of radius Rthat has the exotic property that it can change its mass per unit area as a function of r. Initially, its mass per unit area is given by ar³, where a is a constant. What is the moment of inertia of this disk expressed in terms of its mass, M and radius R.
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