# Balance of wooden pole

Classical Mechanics Level pending

A $$10$$ meter wooden pole that weighs $$2 \text{ kg}$$ has metal caps on both ends. The left cap weighs $$2 \text{ kg}$$ and the right cap weighs $$1 \text{ kg}.$$ What is the distance from the right end of the pole at which a rope can be connected to keep the pole suspended in the air, parallel to the ground?

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