Derive an expression for the moment of inertia of a long, thin, uniform rod of total length L and mass M about an axis that is perpendicular to the rod and located 1/3 of the way from one end. Do this by using the parallel axis theorem and draw a diagram. B) Derive the expression for the above object by integration using I = ∫r2dm. Draw a diagram, label limits of integration, and show all work.

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Derive an expression for the moment of inertia of a long, thin, uniform rod of total length L and mass M about an axis that is perpendicular to the rod and located 1/3 of the way from one end. Do this by using the parallel axis theorem and draw a diagram.

B) Derive the expression for the above object by integration using I = ∫r2dm. Draw a diagram, label limits of integration, and show all work.

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