Math Problem Statement

Solution

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Math Problem Analysis

Mathematical Concepts

Geometry
Structural Analysis
Moment of Inertia
Centroid Calculation
Parallel Axis Theorem

Formulas

Moment of Inertia for a rectangle about its centroidal axis: I_rect = (1/12) * base * height^3
Parallel Axis Theorem: I = I_centroid + A * d^2

Theorems

Parallel Axis Theorem

Suitable Grade Level

Undergraduate (Engineering)