A uniform disc of mass m and radius r and a point mass m are arranged as shown in the figure. The acceleration of point mass is: (Assume there is no slipping between pulley and thread and the disc can rotate smoothly about a fixed horizontal axis passing through its centre and perpendicular to its plane)

Text Solution
Verified by ExpertsThe correct answer is:
C

There is no slipping between pulley and thread.
So, (a = α r) ..........(i)
For point mass :
mg – T = ma ...........(ii)
Equation of torque for disc
Tr = Ι . α
Tr = 
T =
=
...........(iii)
mg –
= ma
mg = 
a =
.
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