# Problem on rotation

An $$equilateral~ABC$$ formed from a uniform wire has two small identical beads initially located at $$A$$. The triangle is set rotating about the vertical axis $$AO$$. Then the beads are released from rest simultaneously and allowed to slide down, one along $$AB$$ and the other along $$AC$$ as shown. Neglecting frictional effects, the quantities that are conserved as the beads slide down are

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