# 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) :- a. 12 rad/s2 b. 16 rad/s2 c. 10 rad/s2 d. 20 rad/s2

## Question ID - 50396 :- 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) :- a. 12 rad/s2 b. 16 rad/s2 c. 10 rad/s2 d. 20 rad/s2

3537

40 + f = m(R)  …  (i)

40 × R − f × R = mR2

40 − f = mR      …  (ii)

From (i) and (ii)

= 16

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