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

a)

Angular velocity and total energy (kinetic and potential)

b)

Total angular momentum and total energy

c)

Angular velocity and moment of inertia about the axis of rotation

d)

Total angular momentum and moment of inertia about the axis of rotation


Question ID - 100749 | Toppr Answer

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

a)

Angular velocity and total energy (kinetic and potential)

b)

Total angular momentum and total energy

c)

Angular velocity and moment of inertia about the axis of rotation

d)

Total angular momentum and moment of inertia about the axis of rotation

1 Answer - 5876 Votes

3537

Answer Key : (b) -

(b)

The MI 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, therefore

constt

comstt

Since  increases,



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