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 or release?

Options

A. g
B. `(2g)/(3)`
C. `(g)/(3)`
D. `(5g)/(6)`

Answer

C

Explanation

`mg-T=ma" "......(i)`
Also, `TR=Ialpha`
`=mR^(2)alpha`
`=maR" "[:.a=Ralpha]`
`impliesT=ma" "......(ii)`
Solving equation (i) and (ii)
`a=(g)/(2)`