momentum vector for this dust grain point nearly parallel or nearly perpenticular to its axis?

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter6: Some Methods In The Calculus Of Variations
Section: Chapter Questions
Problem 6.5P
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Consider a dust grain in the shape of a very thin cylinder, floating in a gas at a temperature T. On average, will the angular momentum vector for this dust grain point nearly parallel or nearly perpenticular to its axis?

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