A block of mass m is resting on a smooth horizontal surface. One end of a uniform rope of mi (m/3) is fixed to the plock, which is pulled in the horizontal direction by applying a force Fat the other 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`.