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xduckksx
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Homework Statement
A uniform cylinder, of radius 2a and moment of inertia $2Ma^2$ is free to rotate about its horizontal axis. A light, inextenzible string is wound round the cylinder and a particle of mass m is suspended on its free end. If the system is released from rest, find the acceleration of the particle.
Homework Equations
Torque(C)=Moment of inertia(I) x (angular accleration)$\alpha$.
The Attempt at a Solution
Resolving the tension in the string, we get T=mg-2ma(alpha)
Which gives upon calculating the angular acceleration (given that I=2Ma^2)
alpha=(mg)/(2am+Ma) which is somehow incorrect.
Can someone correct my error?