Verified Solution • 2025–26 Session moderate

QNEET-2017-Ph-996: NEET 2017 Physics - Class 11 NEET-2017-Ph-996 Solution: A rope is wound around a hollow cylinder of mass 3 kg and…

A rope is wound around a hollow cylinder of mass 3 kg and radius 40 cm. What is the angular acceleration of the cylinder if the rope is pulled with a force of 30 N? 0.25 rad s−20.25\ \text{rad s}^{-2} 25 rad s−225\ \text{rad s}^{-2} 5 m s−25\ \text{m s}^{-2} 25 m s−225\ \text{m s}^{-2}

Multiple Choice Options

  • A 0.25 rad s −- _ 2
  • B 25 rad s −- _ 2
  • C 5 m s −- _ 2
  • D 25 m s −- _ 2

Step-by-Step Verified Solution

Given, mass of cylinder m = 3kg R = 40 cm = 0.4 m F = 30 N ; _ = ? As we know, torque _ = Ia F _ R = MR 2 _ _ = F _ R M R 2 _ = 30 _ ( 0.4 ) 3 _ ( 0.4 ) 2 _ _ = 25 r a d / s 2

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