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Q.

A string is wound a hollow cylinder of mass 5 kg and radius 0.5m. 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)

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a

20 rad/s2

b

16 rad/s2

c

12 rad/s2

d

10 rad/s2

answer is B.

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Detailed Solution

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Pure rolling condition, a=αR

Translation Motion, 40+f=m()

Rotational Motion, 40×Rf×R=

After Solving, 

α=40mR=16 rads-2

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