Answered: Determine the moment of inertia I, of…

Determine the moment of inertia I, of the cross-sectional area shown with respect to the centroidal z-axis when t = 27 mm. The y-coordinate of the centroid is y = 54 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

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Determine the moment of inertia Iz of the cross-sectional area shown with respect to the centroidal z-axis
when t = 27 mm. The y-coordinate of the centroid is 7 = 54 mm.
Z
y
I₂ = 34421078.8
y
+ ↑
5 t
5 t
t
×106 mm4

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