Concept explainers
Determine the moment of inertia of the thin ring about the z axis. The ring has a mass m.
Answer to Problem 84P
The moment of inertia of the thin ring about the z-axis is
Explanation of Solution
Given:
The radius of the ring is
The mass of the ring is
Explanation:
Show the intersection of the ring at the arbitrary point
Conclusion:
From Figure 1,
Calculate the mass of the ring.
Here, the density of the material is
Substitute
Here, the density of the material is
Calculate the density of the material from the Equation (II).
Compute the moment of inertia about the
Substitute
Hence, the moment of inertia of the thin ring about the z-axis is
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Chapter 10 Solutions
INTERNATIONAL EDITION---Engineering Mechanics: Statics, 14th edition (SI unit)
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