Momentum and CollisionHard

Question

A horizontal platform is rotating with uniform angular velocity around the vertical axis passing through it center. 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. The angular velocity during this period:

Options

A.decreases continuously
B.decreases initially and increases again
C.remains unaltered
D.increases continuously

Solution

         
When the fluid spresds out the moment of inertia of the system is increased, if we apply conservation of angular momentum.
        Iω = I1ω1
As I increases due to water spreading out, the angular velocity decrease.
When water lavel falls. I decrreases resulting in increased angular velocity

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