A solid shaft of diameter \(d=5 \mathrm{~cm}\) as shown in the figure is subjected to tensile force \(P=\) \(13,000 \mathrm{~N}\) and a torque \(T=6,000 \mathrm{~N} \cdot \mathrm{cm}\). At point \(A\) on the surface, what is the state of stress (write in matrix form), the principal stresses, and the maximum shear stress? Show the coordinate system you are using.

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.A T P