Appendix A, Problem A/011 MultistepDetermine the moment of inertia of the shaded area about the x-axis.y13"4"14.01ParabolicCorrectPart 2Calculate the moment of inertia about the x-axis.The lower curve is a parabola that can be written as y = b - kx2. Solve for b and k.dxdx4"4"14.0"y = b – kx?14.0y = b – kx?y13"13"Answers:b =14in.k =Answer: Ix =in. 40.083in.1

Given data: Parabola equation, y=14-0.083 x2

Answered: Determine the moment of inertia of the…

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Mechanical Engineering

Determine the moment of inertia of the shaded area about the x-axis.

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 9.61P: Using Ix and Iu from Table 9.2, determine the moment of inertia of the circular sector about the...

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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.

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Appendix A, Problem A/011 Multistep
Determine the moment of inertia of the shaded area about the x-axis.
y
13"
4"
14.01
Parabolic
Correct
Part 2
Calculate the moment of inertia about the x-axis.
The lower curve is a parabola that can be written as y = b - kx2. Solve for b and k.
dx
dx
4"
4"
14.0"
y = b – kx?
14.0
y = b – kx?
y
13"
13"
Answers:
b =
14
in.
k =
Answer: Ix =
in. 4
0.083
in.1

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