Concept explainers
Compute the principal centroidal moments of inertia for the plane area.
Compute the principal centroidal moments of inertia for the plane area.
Answer to Problem 9.65P
The principal centroidal moments of inertia:
Explanation of Solution
Given information:
The plane area shown in figure P9.65.
Calculations:
Conclusion:
The principal centroidal moments of inertia for the plane area shown in figure are:
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Chapter 9 Solutions
International Edition---engineering Mechanics: Statics, 4th Edition
- 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.arrow_forwardThe L806010-mm structural angle has the following cross-sectional properties: Ix=0.808106mm4,Iy=0.388106mm4, and I2=0.213106mm4, where I2 is a centroidal principal moment of inertia. Assuming that Ixy is negative, compute (a) I1 (the other centroidal principal moment of inertia); and (b) the principal directions at the centroid.arrow_forwardUsing integration, compute the polar moment of inertia about point O for the circular sector. Check your result with Table 9.2.arrow_forward
- The moments of inertia of the plane region about the x- and u-axes are Ix=0.4ft4 and Iu=0.6ft4, respectively. Determine y (the y-coordinate of the centroid C) and Ix (the moment of inertia about the centroidal x-axis).arrow_forwardFind the moment of inertia about centrodial x-axis and centroidal y-axis of the given geometry.arrow_forwardCalculate The Moment Of Inertia About The X-Axis For The Shaded Area.arrow_forward
- International Edition---engineering Mechanics: St...Mechanical EngineeringISBN:9781305501607Author:Andrew Pytel And Jaan KiusalaasPublisher:CENGAGE L