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Question

i Chrome File Edit View History Bookmarks People Window Help 51% D- Thu 11:02 PM us. S Power: Ep 306-The Right DEX YYí wileyPLUS Ahmad × Secure l https://edugenwileyplus.com/edugen/student/mainfr.uni Apps WileyPLUSDifferential calculus. University of South D Apple iCloud Yahoo Bing W wikipedia R Facebook y Twitter LinkedIn The Weather Channel Yelp > Other Bookmarks WleyPLUS: MyWlleyPLUS | Help | Contact Us I Log Out WileyPLUS Halliday, Fundamentals of Physics, 10,e Calculus-based Physics I & II (PH 201-202) Home Read, Study&Practice; Gradebook ORION Downloadable eTextbook Assignment> Open Assignment FULL SCREEN PRINTER VERSION BACK ASSIGNMENT RESOURCES 201-16 Chapter 11, Problem 048 A Texas cockroach first rides at the center of a circular disk that rotates freely like a merry-go-round without extemal torques. The cockroach then walks out to the edge of the disk, at radius R. The figure gives the angular speed of the cockroach-disk system during the walk, when the cockroach is on the edge at radius R, what is the ratio of the bug's rotational inertia to that of the disk, both caloulated about the rotation axis? 034 3.92 3.19 246 1.73 1.00 052 Review Score Review Results by Study Radial distance Number Units the tolerance is +/-2% LINK TO TEXT LINK TO SAMPLE PROBLEM LINK TO SAMPLE PROBLEM httos:/ledugen.wleyplus.com/edugen/shared/assignment/testfaglistuni?id-asnmt208464 5,420

Explanation / Answer

initial angular speed , wi = 3.19 rad/s

final angular speed, wf = 1.73 rad/s

let the rotational inertia of disk is Id

rotational inertia of bug is Ib

Using conservation of angular momentum

3.19 * (Id) = 1.73 * (Id + Ib)

1.84 * Id = (Id + Ib)

Ib/Id = 0.84

the ratio of rotational inertia of bug to disk is 0.84