An equailaral triangle 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. Neglectig frictional effects, the equatities that are conserved as the beads slids down, are A. angular velocity and total energy (kinetic and potential)B. Total angular momentum and total energyC. angular velocity and moment of inertia about the axis of rotaitonD. total angular momentum and momento f inertia about the axis of rotation

An equailaral triangle ABC formed from a uniform wire has two small id

1.	An equailaral triangle 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. Neglectig frictional effects, the equatities that are conserved as the beads slids down, are A. angular velocity and total energy (kinetic and potential)B. Total angular momentum and total energyC. angular velocity and moment of inertia about the axis of rotaitonD. total angular momentum and momento f inertia about the axis of rotation
Answer» Correct Answer - B The M.I. about the axis of rotation is not constant as the perpendicular distance of the bead with the axis of rotation increases. Also since no external torque is acting. `:. Tau_(ext) = (dL)/(dt) rArr L = constant rArr constant` Since, I increases, `omega` decreases.

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