First slide

Law of conservation of angular momentum

Question

An equilateral 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 other along AC as shown. Neglecting frictional effects, the quantities that are conserved as the beads slide down, are

Moderate

A

Angular velocity and total energy
B

Total angular momentum and total energy
C

Angular velocity and M.I. about the axis of rotation
D

Total angular momentum and M.I. about the axis of rotation

Solution

Since no dissipative forces are acting in the system, mechanical energy of the system is conserved. Also weights of the beads and triangular frame work and the reaction at A are the external forces acting on the system, but they do not produce any net moment about the axis of rotaion. Hence angular momentum of the system is conserved.

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