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A homogen trapezoid with total mass of M having dimensions of hight L and sides length 2a and 2b [uniform mass density is M

A homogen trapezoid with total mass of M having dimensions of hight L and sides length 2a and 2b [uniform mass density is M O = = constant] is placed in x y plane as shown in the figure below. Find the Area moment of inertia ly of the system about the y-axis. (Hint: an infinitesimal smal mass segment dm is chosen and its dimensions are shown in the figure.) y dm dx a x- x a b

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