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A Phonograph Turntable Is Made in the Shape of a Circular

question 70

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A phonograph turntable is made in the shape of a circular disk of radius 6 inches with density function p(x,y) =x2+y2p ( x , y ) = \sqrt { x ^ { 2 } + y ^ { 2 } } . Find the polar moment of inertia I0I _ { 0 } of the disk.


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