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rajan jha Grade: 12
        

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

Answers : (3)

SAGAR SINGH - IIT DELHI
879 Points
										

Dear student,


Applying conservation of linear and angular momentum. the angular speed of turn table remains same.













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Sagar Singh


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6 years ago
vikas askiitian expert
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
vikas askiitian expert
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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