Answered: Illustrate the location of the…

Illustrate the location of the centroids and write down the formulas for areas and moment of inertia of the following basic shapes: 1. Circle 2. Half circle

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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Question

Illustrate the location of the centroids and write down the formulas for areas and moment of inertia of the following basic shapes:

1. Circle

2. Half circle

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The moment of inertia of the plane region about the x-axis and the centroidal x-axis are Ix=0.35ft4 and Ix=0.08in.4, respectively. Determine the coordinate y of the centroid and the moment of inertia of the region about the u-axis.
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