question_answer

A mass 'm' is supported by a massless string wound around a uniform hollow cylinder of mass m andradius R. If the string does not slip on the cylinder, with what acceleration will the mass fall on release?   JEE Main  Solved  Paper-2014

A) \[\frac{5g}{6}\]                                

B) g

C) \[\frac{2g}{3}\]                                

D) \[\frac{g}{2}\]

Correct Answer: D

Solution :

  \[mg-T=ma\] .....(1) \[T.R=m{{R}^{2}}\alpha \]  ....(2) \[a=R\,\alpha \]  ....(3) Solving \[a=\frac{g}{2}\]  ....(4)