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

---

Definitions:

Five-number Summary

A statistical summary of a data set that includes the minimum, first quartile, median, third quartile, and maximum.

30th Percentile

A value below which 30 percent of the data falls, used to indicate the lower-middle range of a data set.

Interquartile Range

The difference between the 75th and 25th percentiles of a dataset, a measure of statistical dispersion.

Ordered Array

An arrangement of elements in a sequence where they are sorted in ascending or descending order.