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

question 65

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)

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