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

question 10

Multiple Choice

A uniform disk, a thin hoop, and a uniform 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 the their angular velocities after a given time t, least to greatest.

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

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Definitions:

Birth Rate

The frequency at which births occur in a population per unit time, often measured as the number of births per 1,000 people per year.

Death Rate

The number of deaths per unit of population within a specific time frame, often expressed per 1,000 or 100,000 individuals per year.

Demographic Transition

The transition from high birth and death rates to low birth and death rates, accompanying economic development and improvements in living conditions.

Growth Rate

The rate at which the amount, value, or size of something increases over a particular period of time.