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(B) $1$. The system consists of the triangle and the two beads. Since there is no external torque acting on the system about the vertical axis $AO$,th

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Total angular momentum and total energy

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(B) $1$. The system consists of the triangle and the two beads. Since there is no external torque acting on the system about the vertical axis $AO$,the total angular momentum $L$ of the system remains conserved.$2$. As the beads slide down,the gravitational potential energy of the beads is converted into kinetic energy (both translational and rotational). Since there is no friction,the total mechanical energy (kinetic + potential) of the system is conserved.$3$. The moment of inertia $I$ of the system about the axis $AO$ increases as the beads move away from the axis. Since $L = I\omega$ is constant,the angular velocity $\omega$ must decrease.$4$. Therefore,the quantities that are conserved are the total angular momentum and the total energy.

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