Question

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

Answer 1

As no external torque acts on the system, the angular momentum $L$ is conserved $L=I\omega$ so both $I$ and $\omega$ changes. The total energy will also remain constant so angular momentum and total energy remain constant.