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Minimum Rotational Inertia

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A dumbbell consists of two point masses, m and 2m, attached to the ends of a massless rod of length L. For an axis of rotation perpendicular to the rod, at what position along the rod is the rotational inertia a minimum?

A

At distance 2L/3 from the mass m

B

At the midpoint of the rod

C

At the location of mass m

D

At distance L/3 from the mass 2m

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