PROBLEM 9.167 Shown is the machine element of Problem 9.143. Determine its moment of inertia with respect to the line joining the origin Oand point A. SOLUTION First compute the mass of each component Have ()32320.284 lb/in0.008819 lb s /ft in32.2 ft/ssTmVVVρ===⋅⋅Then 2210.008819 lb s /ft in4 in.2 in.0.88667 lb s /ftmπ=⋅⋅=⋅2220.008819 lb s /ft in1in.3 in.0.083125 lb s /ftm⋅()2230.008819 lb s /ft in2 in.0.055417 lb s /ftm⋅Symmetry implies ( )100yzzxxyIII=and ( )( )0xy′′==Now ( )222333xyx yIImxymxymxy=Σ+=−()2221ft0.083125 lb s /ft2 in. 1.5 in.
This is the end of the preview. Sign up
access the rest of the document.
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.