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Engineering and Tech / Engineering Mechanics: Statics 13 / Chapter 10 / Problem 10-1

Engineering Mechanics: Statics | 13th Edition | ISBN: 9780132915540 | Authors: R. C. Hibbeler

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Determine the moment of inertia of the shaded area about

Chapter 10, Problem 10-1

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QUESTION:

Determine the moment of inertia of the shaded area about the x axis.

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QUESTION:

Determine the moment of inertia of the shaded area about the x axis.

ANSWER:

Step by step solution Step 1 of 3Note that we can write the function as:In order to determine the moment of inertia about the x-axis we will need to divide the area intoinfinitesimal area each at the y-distance from the x-axis.Area of each if infinitesimal part is:The moment of inertia of each infinitesimal part is :The total moment of inertia is equal to the sum of all infinitesimal moments of inertia over therange ...(1)\n

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