A solid cylinder of mass M and radius 2R is connected to a string through a frictionless yoke and axle. The string runs over a disk shaped pulley of mass M and radius R. The mass M is attached to the other end of the string. The cylinder rolls without slipping on the table top. Find the acceleration of the block after the system is released from rest.
Text Solution
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2r α α 1 = r α α 2 or α α 2 = 2 α α 1
(T 2 – T 1 )R = 
(2 α α ) or T 2 – T 1 = Ma ………. (i)
Mg – T 1 = Ma ……… (ii)
T 2 (2R) = 
( α α ) or T 2 = Ma ………. (iii)
Adding (i), (ii) and (iii) a = g/3
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