System is released from rest. Moment of inertia of pulley is 
. Find angular speed of pulley when 
block falls by 
. (Given 
and assume no slipping between string and pulley)
Text Solution
Verified by ExpertsA
Assume initial potential energy of the blocks to be zero. Initial kinetic energy is also zero since the blocks are at rest.
When block 
falls by 
goes up by 
(because of length constraint)
Final P.E 
Let the final speed of the blocks be 
and angular velocity of the pulley be 
Final K.E 
Total energy is conserved. Hence,
(due to no slip condition)
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