A Small Disk of Radius R₁ Is Mounted Coaxially with a Larger

Multiple Choice

A small disk of radius R₁ is mounted coaxially with a larger disk of radius R₂. The disks are securely fastened to each other and the combination is free to rotate on a fixed axle that 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 acceleration of the block is:

A) R₁F/mR₂
B) R₁R₂F/(I - mR₂²)
C) R₁R₂F/(I + mR₂²)
D) R₁R₂F/(I - mR₁R₂)
E) R₁R₂F/(I + mR₁R₂)