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

question 72

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:

Equivalent Units

A concept used in cost accounting to express the amount of goods or services produced in terms of the number of complete units.

Materials

The raw items and components used in the production of goods.

Process Costing

An accounting methodology used for homogeneous products, attributing costs to units of product through an average or a similar method.

Conversion Costs

The combined costs of direct labor and manufacturing overhead expenses, representing the costs necessary to convert raw materials into finished goods.