Answered: Q4- Determine the moment of inertia of…

Q4- Determine the moment of inertia of the shaded area shown in figure with respect to(x) axis? (A3) 3 cm (A2) (A1) 3 cm 3 cm 4 cm x

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 9.80RP

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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

Q4- Determine the moment of inertia of the shaded
area shown in figure with respect to(x) axis?
(A3)
3 cm
(A2)
(A1)
3 cm
3 cm
4 cm
x

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Step 1: Given data

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Step 2: Calculation of the areas, x and y coordinates of the CG for each shape

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Step 3: Calculation of the moment of inertia of the shaded area with respect to x asix

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