find the moment of inertia of a quarter of a hollow disk (shaded part of the figure), of inner radius a and outer radius b, of mass M and surface mass density that grows linearly as one moves away from the center of a disk. The axis about which to measure the moment of inertia passes perpendicularly through the center of the hollow disk.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
Chapter9: Moments And Products Of Inertia Of Areas
Section: Chapter Questions
Problem 9.65P: Compute the principal centroidal moments of inertia for the plane area.
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find the moment of inertia of a quarter of a hollow disk (shaded part of the figure), of inner radius a and outer radius b, of mass M and surface mass density that grows linearly as one moves away from the center of a disk. The axis about which to measure the moment of inertia passes perpendicularly through the center of the hollow disk.
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