A Small Disk of Radius R₁ Is Fastened Coaxially to a Larger

Multiple Choice

A small disk of radius R₁ is fastened coaxially to a larger disk of radius R₂. 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 as shown. The tension in the string pulling the block is:

A) R₁F/R₂
B) mR₁R₂F/(I - mR₂²)
C) mR₁R₂F/(I + mR₂²)
D) mR₁R₂F/(I - mR₁R₂)
E) mR₁R₂F/(I + mR₁R₂)