PROBLEM 9.120 A thin plate of mass mhas 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 xaxis and is located at a distance 1.5afrom the plate. SOLUTIONFirst locate the centroid C ()()22221:22223XAxA X aaa aaΣ=Σ+=++ ×or 149Xa=2211223ZAzAZaaaaaa+=+or 49Za=(a) Have ,mass,massyCCIImXZ′=++From the solution to Problem 9.117 2,mass6518yIma=Then
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