144_Problem CHAPTER 9

144_Problem CHAPTER 9 - PROBLEM 9.119 A thin plate of mass...

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PROBLEM 9.119 A thin plate of mass m has the trapezoidal shape shown. Determine the mass moment of inertia of the plate with respect to ( a ) the x axis, ( b ) the y axis. SOLUTION First note mass mV t A ρ = == () ( ) ( ) 1 22 2 ta a a a =+ 2 3 ta = Also mass area I tI = area 2 3 m I a = ( a ) Now ( )( ) , area 1, area 2, area xx x II I ( ) ( ) 33 11 31 2 aa 4 5 6 a = Then 4 , mass 2 5 6 3 x m I a a 2 , mass 5
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