JEE Main 2014PhysicsRotational MotionMediumMCQ

JEE Main 2014 — Rotational Motion Question with Solution

JEE Main 2014 (06 Apr)

Question

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?

Choose an option

Show full solutionCorrect option: B
Correct answer
B g 2

Step-by-step explanation



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

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About this question

This is a previous-year question from JEE Main 2014, covering the Rotational Motion chapter of Physics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.