HW.2 For the shaded area shown in figure below, assume a value for a and find the following: 1- Centroidal coordinate of the area. 2- Moments of inertia Ix and ly. 3- Radius of gyration Kx and ky. Y 2a a R= a

HW.2 For the shaded area shown in figure below, assume a value for a and find the following: 1- Centroidal coordinate of the area. 2- Moments of inertia Ix and ly. 3- Radius of gyration Kx and ky. Y 2a a R= a

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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Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

HW.2 For the shaded area shown in figure below, assume a
value for a and find the following:
1- Centroidal coordinate of the area.
2- Moments of inertia Ix and ly.
3- Radius of gyration Kx and ky.
Y
y= å x
2а
a
R= a

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