166_Problem CHAPTER 9

# 166_Problem CHAPTER 9 - PROBLEM 9.131 Given the dimensions...

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PROBLEM 9.131 Given the dimensions and the mass m of the thin conical shell shown, determine the moment of inertia and the radius of gyration of the shell with respect to the x axis. ( Hint: Assume that the shell was formed by removing a cone with a circular base of radius a from a cone with a circular base of radius at + . In the resulting expressions, neglect terms containing t 2 , t 3 , etc. Do not forget to account for the difference in the heights of the two cones.) SOLUTION First note hh at a = + or () h ha t a ′ = + For a cone of height H whose base has a radius r, have
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## This note was uploaded on 07/11/2011 for the course EGM 2511 taught by Professor Jenkins during the Spring '08 term at University of Florida.

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