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Rotational Motion question

2017 · Q151
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Rotational Motion question

2017 · Q151

NEETPhysicsRotational MotionMCQ+4 / −1
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?
  1. A
    0.25 rad s−-−2
  2. B
    25 rad s−-−2
  3. C
    5 m s−-−2
  4. D
    25 m s−-−2
View written solutionFree

Correct answer: B

NEET 2017 Physics - Rotational Motion Question 86 English Explanation

Given, mass of cylinder m = 3kg
R = 40 cm = 0.4 m
F = 30 N ; α\alpha α = ? As we know, torque τ\tau τ = Ia

F × R = MR2α\alpha α

α\alpha α = F×RMR2{{F \times R} \over {M{R^2}}}MR2F×R​

α=30×(0.4)3×(0.4)2\alpha = {{30 \times \left( {0.4} \right)} \over {3 \times {{\left( {0.4} \right)}^2}}}α=3×(0.4)230×(0.4)​

⇒α=25 rad/s2 \Rightarrow \alpha = 25\,rad/{s^2}⇒α=25rad/s2

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