The 0.2m diameter Aluminum cylinder below has a 0.1m diameter cylindrical hole cut from its center. The depth of the hole is 0.4m. The density of Aluminum is p = 4000 kg/m³. Determine the mass moment of inertia about the x-axis, Ix, and z-axis Iz, in the figure to the right.

The 0.2m diameter Aluminum cylinder below has a 0.1m diameter cylindrical hole cut from its center. The depth of the hole is 0.4m. The density of Aluminum is p = 4000 kg/m³. Determine the mass moment of inertia about the x-axis, Ix, and z-axis Iz, in the figure to the right.

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 8.75P

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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

The 0.2m diameter Aluminum cylinder
below has a 0.1m diameter eylindrical
hole cut from its center. The depth of
the hole is 0.4m. The density of
Aluminum is p = 4000 kg/m³.
Determine the mass moment of inertia
0.6m
0.4m
y
about the x-axis, Ix, and z-axis Iz, in the
figure to the right.
0.1m
Outside diameter = 0.2m
Formulas for cylinders are provided
below.

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