A Uniform Disk, a Thin Hoop, and a Uniform Solid

question 57

Multiple Choice

A uniform disk, a thin hoop, and a uniform solid sphere, all with the same mass and same outer radius, are each free to rotate about a fixed axis through its center. Assume the hoop is connected to the rotation axis by light spokes. With the objects starting from rest, identical forces are simultaneously applied to the rims, as shown. Rank the objects according to their angular velocities after a given time t, least to greatest.

• A) disk, hoop, sphere
• B) disk, sphere, hoop
• C) hoop, sphere, disk
• D) hoop, disk, sphere
• E) sphere, disk, hoop

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Definitions:

Wage Rate

The amount of money paid to a worker per unit of time, usually expressed per hour or year.

Supply Curve

A graphical representation showing the quantity of goods that producers are willing and able to sell at different prices.

Market for Labor

The economic marketplace where employers find workers and workers find jobs.

Backward-Bending

Referring to the labor supply curve, it describes the scenario where an increase in wage rates leads to a decrease in the hours worked due to an increase in income effect over substitution effect.