subject: statics of rigid bodiesshow your solution and also neat and clean 500 mm100 mm500 mm400 mm50 mm |1. Determine the centroidal moment of inertia about X and Y axis.

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Engineering

Mechanical Engineering

1. Determine the centroidal moment of inertia about X and Y axis.

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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1. Determine the centroidal moment of inertia about X and Y axis.

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Using integration, compute the polar moment of inertia about point O for the circular sector. Check your result with Table 9.2.
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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The L806010-mm structural angle has the following cross-sectional properties: Ix=0.808106mm4,Iy=0.388106mm4, and I2=0.213106mm4, where I2 is a principal centroidal moment of inertia. Assuming Ixy is negative, compute (a) I1 (the other principal centroidal moment of inertia); and (b) the principal directions.