Wer: 1088/3) 3. Compute the moment of inertia of the plate of constant density p described by -a
Wer: 1088/3) 3. Compute the moment of inertia of the plate of constant density p described by -a
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Problem Statement:**
Compute the moment of inertia of the plate of constant density \( \rho \) described by \( -a \leq x \leq a \) and \( -b \leq y \leq b \) about the x-axis. Write your answer in terms of mass, \( a \) and \( b \).
**Answer:**
\[ I = \frac{4}{3} \rho a b^3 \]
or
\[ \frac{m}{3} b^2 \] in terms of mass.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc740e8b2-d410-40ba-b674-1beb1e9bb454%2F225724e5-8a52-4b0c-8425-164679862cec%2Fvz92qpi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Compute the moment of inertia of the plate of constant density \( \rho \) described by \( -a \leq x \leq a \) and \( -b \leq y \leq b \) about the x-axis. Write your answer in terms of mass, \( a \) and \( b \).
**Answer:**
\[ I = \frac{4}{3} \rho a b^3 \]
or
\[ \frac{m}{3} b^2 \] in terms of mass.
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