A string is wound around a hollow cylinder of mass 5 kg and radius 0.5 m. If the string is now pulled with a horizontal force of 40 N, and the cylinder is rolling without slipping on a horizontal surface (see figure), then the angular acceleration of the cylinder will be (Neglect the mass and thickness of the string) |
[JEE Main 11-Jan-2019 Evening] |
A) \[10\text{ }rad/{{s}^{2}}\]
B) \[\text{20 }rad/{{s}^{2}}\]
C) \[\text{12 }rad/{{s}^{2}}\]
D) \[\text{16 }rad/{{s}^{2}}\]
Correct Answer: D
Solution :
[d] (i) |
(ii) |
From eqn (i) and (ii), |
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