Use direct integration to determine that the area moment of inertia, Ixx, about the center of mass, C, of the given uniform rectangular plate is - bh³. Also show 12 that the moment of inertia, Ixy, about the center of mass, C, is 0.

Use direct integration to determine that the area moment of inertia, Ixx, about the center of mass, C, of the given uniform rectangular plate is - bh³. Also show 12 that the moment of inertia, Ixy, about the center of mass, C, is 0.

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 9.3P: The moments of inertia of the plane region about the x- and u-axes are Ix=0.4ft4 and Iu=0.6ft4,...

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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

Use direct integration to determine that the area moment of inertia, Ixx, about the
center of mass, C, of the given uniform rectangular plate is bh'. Also show
that the moment of inertia, Ixy, about the center of mass, C, is 0.
12
Ixx = $$$ (y² +2²) ldv
C
-X

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