A horizontal platform is rotating with unifor | vedclass

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(B) According to the principle of conservation of angular momentum, since no external torque acts on the system, the angular momentum $L = I\omega$ re

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decreases initially and increases again

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(B) According to the principle of conservation of angular momentum, since no external torque acts on the system, the angular momentum $L = I\omega$ remains constant.When the viscous fluid is dropped at the centre and spreads out, the distribution of mass moves away from the axis of rotation, which increases the moment of inertia $I$ of the system.Since $L = I\omega$ is constant, an increase in $I$ leads to a decrease in the angular velocity $\omega$.As the fluid eventually falls off the platform, the mass of the system decreases, causing the moment of inertia $I$ to decrease back towards its original value.Consequently, the angular velocity $\omega$ increases again as the fluid leaves the platform.

$A$ horizontal platform is rotating with uniform angular velocity around the vertical axis passing through its centre. At some instant of time, a viscous fluid of mass $m$ is dropped at the centre and is allowed to spread out and finally fall off. The angular velocity during this period

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