288_Problem CHAPTER 9

288_Problem CHAPTER 9 - PROBLEM 9.190 A piece of thin,...

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PROBLEM 9.190 A piece of thin, uniform sheet metal is cut to form the machine component shown. Denoting the mass of the component by m , determine its moment of inertia with respect to ( a ) the x axis, ( b ) the y axis. SOLUTION First note mass mV t A ρ = == () ( ) 1 22 a ta a a  =−   2 3 2 ta = Also mass area I tI = area 2 2 3 m I a = ( a ) Now ( ) ( ) ,area 1,area 2,area 2 xx x II I ( ) 33 11 12 12 2 a aa a 4 7 12
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