A mass m is supported by a massless string wound around a uniform hollow cylinder of mass m and radius R. If…

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?

  1. 2 g 3
  2. g 2
  3. 5 g 6
  4. g

Solution



mg - T = ma      ----- 1

TR = Iα

TR =mR 2 α

​∴T=mRα   ----2

For no slippping

a = Rα  ---3

putting (3) in (2) 

T = ma ---4

Adding 1 and 4

mg = 2ma

∴   a = g 2

Asked in: JEE Main 2014 (06 Apr)

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