PROBLEM 9.121 The parabolic spandrel shown is revolved about the xaxis to form a homogeneous solid of revolution of mass m. Using direct integration, express the moment of inertia of the solid with respect to the xaxis in terms of m and b. SOLUTIONAt 22, : or bxayb bkaka====Then 22byxa=Now ( )2dmrdxρπ=222bxdxaπρ=Then 2440abmxdxa=∫254015abxa=2215or 5mababNow 22211
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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.