Two horizontal rods are each held up by vertical strings tied to their ends. Rod 1 has length \(L\) and mass \(M\); rod 2 has length \(2 L\) and mass \(2 M\). Each rod then has one of its supporting strings cut, causing the rod to begin pivoting about the end that is still tied up. Which rod has a larger initial angular acceleration?

A. \(\operatorname{Rod} 1\)

B. \(\operatorname{Rod} 2\)

C. The initial angular acceleration is the same for both.