Concept explainers
Determine the moment of inertia Iy for the slender rod. The rod's density ρ end cross-sectional area. A are constant. Express the result in terms of the rod’s total mass m.
The moment of inertia
Answer to Problem 1P
The moment of inertia
Explanation of Solution
Given:
The density of the rod is
The cross-sectional area of the rod is
Show the intersection of slender rod at the arbitrary point
Conclusion:
From the Figure 1,
Calculate the differential mass of the slender rod.
Here, density of material is
Substitute
Calculate the entire mass of the slender rod.
Substitute
Express the moment of inertia of the slender rod about the
Substitute
Substitute
Hence, the moment of inertia
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