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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 | Toppr Answer

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

1 Answer - 5876 Votes

3537

Answer Key : (b) -

 

 

40 + f = m(R)  …  (i)

40 × R − f × R = mR2 

40 − f = mR      …  (ii)

 From (i) and (ii)

 = 16



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