146_Problem CHAPTER 9

146_Problem CHAPTER 9 - PROBLEM 9.120 A thin plate of mass...

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PROBLEM 9.120 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 centroidal axis CC that is perpendicular to the plate, ( b ) the axis AA which is parallel to the x axis and is located at a distance 1.5 a from the plate. SOLUTION First locate the centroid C () ( ) 22 2 2 1 :2 2 2 2 3 XA x A X a a a a a  Σ=Σ + = + + ×   or 14 9 Xa = 2 2 11 2 23 Z Az A Z a a a a a a + = + or 4 9 Z a = ( a ) Have ,mass ,mass yC C I Im X Z =+ + From the solution to Problem 9.117 2 ,mass 65 18 y I ma = Then
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