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NEET 2017 · Rotational Kinematics & Dynamics

Rotational Kinematics & Dynamics question from NEET 2017

Q63NEET 2017Easy

Rotational Kinematics & Dynamics

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?

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Answer: (b)

  1. Hollow cylinder: I=MR2=3×0.42=0.48I = MR^2 = 3 \times 0.4^2 = 0.48 kg m2^2
  2. τ=FR=30×0.4=12\tau = FR = 30 \times 0.4 = 12 N m
  3. α=τI=120.48=25\alpha = \frac{\tau}{I} = \frac{12}{0.48} = 25 rad s−2^{-2}
  4. So the answer is (b) 25 rad s−2^{-2}.
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