a) Determine the centroid of this composite area, b) Calculate the moments of inertia Ix, Iy and product of inertia, Ixy. c) Determine the principal moments of inertia and the orientation of the principal axes.

a) Determine the centroid of this composite area, b) Calculate the moments of inertia Ix, Iy and product of inertia, Ixy. c) Determine the principal moments of inertia and the orientation of the principal axes.

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 9.78P: The L806010-mm structural angle has the following cross-sectional properties:...

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Concept explainers

Moment of Inertia

Inertia can be termed as a resistance offered by a body to change its state. A rigid body initially at rest will apply resistance when acted by an external force that tends to change its state of rest or velocity, or a body initially at motion will provide resistance in changing its state of velocity or motion for coming to a state of rest. In other words, Newton's first law of motion describes the law of inertia of a rigid body.

Question

A 100×100 paper was punched from its left lower corner. A 25×25
square hole was created there. The 25×25 scrap was subsequently glued
onto right upper corner of the paper. By neglecting the thickness of the
paper,
a) Determine the centroid of this composite area,
b) Calculate the moments of inertia Ix, Iy and product of inertia,
Ixy.
c) Determine the principal moments of inertia and the
orientation of the principal axes.
(a=3 b=1)

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