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Asked by pratham.k | 30 Jun, 2020, 21:09: PM
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A block of mass m is attached to one end of a light string is wrapped on a disc of mass 2m and Radius R. The total length of the
slack portion of the string is l. The block is released from rest. The angular velocity of the disc just after the string becomes taut is
v e l o c i t y space o f space t h e space b l o c k space w h e n space i t space r e a c h e s space b o t t o m space a n d space s t r i n g space b e c o m e s space s t r a i n g h v squared equals u squared plus 2 a s v squared equals 0 squared plus 2 g l v equals square root of 2 g l end root A n g u l a r space m o m e n t u m space o f space t h e space m a s s space w h e n space t h e space s t r i n g space b e c o m e s space s t r a i g h t equals m square root of 2 g l end root R A n g u l a r space m o m e n t u m space w i l l space r e m a i n space c o n s e r v e d space a s space a space r e s u l t space a n g u l a r space m o m e n t u m space o f space t h e space d i s c equals I omega m square root of 2 g l end root R equals fraction numerator 2 m R squared over denominator 2 end fraction omega omega equals fraction numerator square root of 2 g l end root over denominator R end fraction
Answered by Utkarsh Lokhande | 02 Jul, 2020, 11:54: AM

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