6. A small disk of radius \( R_1 \) is fastened coaxially to a larger disk of radius \( R_2 \). The combination is free to rotate on a fixed axle, which is perpendicular to a horizontal frictionless table top, as shown in the overhead view below. The rotational inertia of the combination is I. A string is wrapped around the larger disk and attached to a block of mass m, on the table. Another string is wrapped around the smaller disk and is pulled with a force \( \overrightarrow{F} \) as shown in fig. below. The tension in the string pulling the block is:
(A)\( \frac{mR_1F}{R_2} \)
(B)\( \frac{mR_1R_2F}{I - mR_2^2} \)
(C)\( \frac{mR_1R_2F}{I + mR_2^2} \)
(D)\( \frac{mR_1R_2F}{I - mR_1R_2} \)
(E)\( \frac{mR_1R_2F}{I + mR_1R_2} \)