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

question 38

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:

Retained Earnings

Accumulated net income that a company has not distributed to its shareholders as dividends, reinvested in the business.

Dividends

Payments made by a corporation to its shareholder members, typically derived from profit.

Statement of Stockholder's Equity

A financial statement that shows changes in the value of a company's equity over a specific period, including shares issued and dividends paid.

Common Stock

Equity securities that represent ownership in a corporation, providing voting rights and potential dividends to shareholders.