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

question 26

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)

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Definitions:

Promised Benefits

The guaranteed or expected advantages or returns, often from investments, insurance policies, or employment contracts.

Real Rate

refers to the interest rate adjusted for inflation, providing a more accurate measure of the true cost of borrowing or the real yield on an investment.

Tax Rate Structure

The way in which different rates of taxation are applied to different levels of income or other bases.

Promised Benefit Levels

The specific amount of benefits, often related to pensions or insurance, guaranteed to recipients based on a predetermined plan.