1. Find the moment of inertial of the rectangular area of Figure 1.0 about thecentroidal x and y axes.dAFigure 1.0Figure 2.02. Find the moment of inertia of a triangular are in Figure 2.0 about the y - axis.3. Find the moment of inertia of the area bounded by the cubic parabola a?y = x , the y -axis and the line y = 8a with respet to y – axis. (A = 12a?)4. Solve QUESTION No. 4 by another method.5. The moment of inertia with respect to its axis of the solid generated by the revolving an3Varch of y = sin 3x about the x- axis is IxFind the moment of inertia of solid168with respect to the line y = 2.

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1. Find the moment of inertial of the rectangular area of Figure 1.0 abo centroidal x and y axes. dA Y

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 9.4P: The moment of inertia of the plane region about the x-axis and the centroidal x-axis are Ix=0.35ft4...

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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

1. Find the moment of inertial of the rectangular area of Figure 1.0 about the
centroidal x and y axes.
dA
Figure 1.0
Figure 2.0
2. Find the moment of inertia of a triangular are in Figure 2.0 about the y - axis.
3. Find the moment of inertia of the area bounded by the cubic parabola a?y = x , the y -
axis and the line y = 8a with respet to y – axis. (A = 12a?)
4. Solve QUESTION No. 4 by another method.
5. The moment of inertia with respect to its axis of the solid generated by the revolving an
3V
arch of y = sin 3x about the x- axis is Ix
Find the moment of inertia of solid
16
8
with respect to the line y = 2.

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