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Two blocks of mass $m$ are each connected by a light rod of length $2R$. The rod is then mounted on another light cylindrical rod of radius $r$, as shown in the figure above. The string wrapped around the vertical rod is pulled by a fixed force of magnitude $F$.

What is the angular acceleration of the system?

A

$\cfrac{F}{2mR}$

B

$\cfrac{F}{2mr}$

C

$\cfrac{FR}{{2mr}^2}$

D

$\cfrac{Fr}{{2mR}^2}$

E

$\cfrac{FR}{{mr}^2}$

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