A block of mass m is resting on a smooth horizontal surface. One end of a uniform rope of mass (m/3) is fixed to the block, which is pulled in the horizontal direction by applying a force F at the other end. The tension in the middle of the rope is

Options

A. `(8)/(7)F`
B. `(1)/(7)F`
C. `(1)/(8)F`
D. `(7)/(8)F`

Answer

D

Explanation

`a= (F)/(m+ (m)/(3)) = (3F)/(4m)`, The tension in the middle of the rope `T= (m+(m)/(6)) a, T= (7F)/(8)`