question_answer

A uniform solid cylindrical roller of mass ‘m’ is being pulled on a horizontal surface with force F parallel to the surface and applied at its centre. If the acceleration of the cylinder is ‘a’ and it is rolling without slipping then the value of ‘F’ is:                       [JEE ONLINE 10-04-2015]

A)   ma                 

B)        2 ma

C)   \[\frac{5}{3}\]            

D)        \[\frac{3}{2}ma\]

Correct Answer: D

Solution :

[d]  and  for Rolling

...(i)

(ii)

So,