Math Problem Statement

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Solution

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Math Problem Analysis

Mathematical Concepts

Statics
Shear Stress
Moment of Inertia

Formulas

Sum of Forces (ΣF_y = 0)
Sum of Moments (ΣM = 0)
Shear stress formula τ_max = T*r/J
Moment of Inertia J = (π*d^4)/32

Theorems

Equilibrium of forces and moments
Stress analysis in circular shafts

Suitable Grade Level

Undergraduate Engineering