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

question 21

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 to their angular momenta after a given time t, least to greatest.

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

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Definitions:

Standard Error

A measure of the variability of a statistic from sample to sample, often used to quantify the accuracy of a sample mean.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, representing how spread out the values are from the mean.

Sample Means

The average values calculated from samples drawn from a population; used in inferential statistics as estimates of the population mean.

Population Mean

The average value of a characteristic in the entire population being studied.