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Q.

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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a

20 rad s−2

b

10 rad s−2

c

15 rad s−2

d

5 rad s−2

answer is C.

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Detailed Solution

T=Iα=Fr

mr22×α=10×0.1

10×(0.1)22×α=1

α=2×10

=20 rad/s2

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