A mass ‘m’ is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?

Options

A. g
B. `g//2`
C. `g//3`
D. `2g//3`

Answer

D

Explanation

For block,
Mg -T = Ma………(i)
For cylinder ,
`TR =(MR^(2))/2 alpha =(MR^(2))/2 (a/R) , T =(Ma)/2`………(ii)
From (i) and (ii) , `Mg = 3/2 Ma rArr a=(2g)/3`