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A rope is wound several times on a solid cylinder of radius 0.1 m and mass 10 kg. The cylinder is free to rotate about its axis. If the rope is pulled with a force of 10 N, the angular acceleration of the cylinder is

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20 rad s^{- 2}

10 rad s^{- 2}

15 rad s^{- 2}

5 rad s^{- 2}

answer is C.

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Detailed Solution

T = I α = Fr

$\frac{{mr}^{2}}{2} \times α = 10 \times 0.1$

$\frac{10 \times {(0.1)}^{2}}{2} \times α = 1$

$α = 2 \times 10$

$= 20 {rad/s}^{2}$

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