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A balance is made of a rigid rod free to...

A balance is made of a rigid rod free to rotate about a point not at the centre of the rod. When an unknown mass `m` is placed in the left pan, it is balanced by a mass `m_(1)` placed in the right pan and similarly when the mass `m` is placed in the right pan, it is balanced by a mass `m_(2)` in the left pan. Neglecting the masses of the pans, `m` is

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