This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.

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Answer
29 \times 10^6 \text{ psi}$.
Step 1: Calculate the cross-sectional area and moment of inertia for each arm. The arms are approximated as hollow steel tubes. We will use Young's modulus for steel, .
For arm AD: Outer diameter Inner diameter Length Damping coefficient (assuming standard units for damping)
Cross-sectional area :
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Calculate the cross-sectional area and moment of inertia for each arm. The arms are approximated as hollow steel tubes.
This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.