Answered: Problem 7: Determine the moment of…

Engineering

Mechanical Engineering

Problem 7: Determine the moment of inertia for the shaded blue area in the figure below 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 9.24P: Determine Ix for the triangular region shown.

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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

Problem 7: Determine the moment of inertia for the shaded blue area in the figure below about the x-
axis.
1 ft-
y = x-
X1
(x, y)
-y=x²
dy
(x₁.y)
1 ft

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