10-91. The concrete shape is formed by rotating the shaded area about the y axis. Determine the moment of inertia Iy. The specific weight of concrete is y = 150 lb/ft³. Problem 10-91 -6 in.- in. _y= ²/²₁x² 8 in. X

10-91. The concrete shape is formed by rotating the shaded area about the y axis. Determine the moment of inertia Iy. The specific weight of concrete is y = 150 lb/ft³. Problem 10-91 -6 in.- in. _y= ²/²₁x² 8 in. X

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter8: Centroids And Distributed Loads

Section: Chapter Questions

Problem 8.71P

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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

10-91. The concrete shape is formed by rotating the shaded area about the y axis. Determine the
moment of inertia Iy. The specific weight of concrete is y = 150 lb/ft³.
Problem 10-91
-6 in.-
in.
_y= ²/²₁x²
8 in.
X

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Step 1: Write the expression for the moment of inertia:

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Step 2: Integrate the derived expression:

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Step 3: Plug in the acquired values:

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