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Consider a thin rod that lies along the x-axis and has a total length L. It is pivoted at the left end, at x

Consider a thin rod that lies along the x-axis and has a total length L. It is pivoted at the left end, at x = 0. It has a non-uniform linear mass density given in kg/m by: (x) = Ax + Bx. What is the moment of inertia of this rod?

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