Answered: Determine the moment of inertia of the…

Determine the moment of inertia of the shaded area in the figure about the ro axis. 20 mm 140 mm -100 mm Yo - 20 mm 100 mm- 20 mm

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 9.36P: Determine the product of inertia with respect to the x- and y-axes for the quarter circular, thin...

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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

Determine the moment of inertia of the shaded area in the figure about the ro
axis.
20 mm
140 mm
100 mm
xo
20 mm
100 mm-
20 mm

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Step 1: Introduction and given data

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Step 2: Calculation for centroid of the cross-section below

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Step 3: Calculation for the inertia about the Xo axis

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