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Calculate the centroidal coordinates of the plane region shown. Determine also the moment of inertia I.

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

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

Calculate the centroidal coordinates of the plane region shown.
Determine also the moment of inertia I.
20
80
20
20
60
Dimensions in mm
Figure P8.18

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