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```        A circular table rotates about a vertical axis with a constant angular speed w. A circular pan rests on the turn table (with the center of table)and rotates with the table.The bottom of the pan is covered with a uniform thick layer of ice which also rotates with the pan.The ice starts melting.The angular speed of the turn table
a)remains the same b)decreases c)increases d)none.```
6 years ago

SAGAR SINGH - IIT DELHI
879 Points
```										Dear student,
Applying conservation of linear and angular momentum. the angular speed of turn table remains same.

All the best.
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Sagar Singh
B.Tech, IIT Delhi

```
6 years ago
510 Points
```										since there is no external torque acting on the system so angular momentam will remain conserved...
IW = constant    or
IW = IfWf          ..........1           (If , Wf are moment of inertia & angular velocity of final state)
initially ice was at center and contribution of  mass of ice  for inertia is 0...
Iice = mr2     =0            (at center ,r=0)
finally ice melts & spreads over the turntable now its different small small elements contribute moment of inertia & net moment of inertia of system is somewhat more than initial value...
final moment of inertia = I+Iice
from eq 1
IW = (I+I1)Wf
Wf  < W
hence option b) is correct
```
6 years ago
510 Points
```										due to increase in moment of inertia ,angular velocity of table decreases ...
option b) is correct
```
6 years ago
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