Three small objects are arranged along a uniform rod of mass m and length L: one of mass m at the left end, one of mass m at the center, and one of mass 2m at the right end. How far to the left or right of the rod’s center should you place a support so that the rod with the attached objects will balance there?

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Three small objects are arranged along a uniform rod of
mass m and length L: one of mass m at the left end, one of mass m at the
center, and one of mass 2m at the right end. How far to the left or right
of the rod’s center should you place a support so that the rod with the
attached objects will balance there?

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