In Fig. 7.150 , coefficient of friction between `m_(2)` and the horizontal surface is `mu` , minimum value of m so that the system has zero acceleration , is :

Options

A. `mu (m_(1) + m_(2))`
B. `mu (m_(1) + m_(2))`
C. `m_(2) - (m_(1))/(mu)`
D. `(m_(1))/(mu) - m_(2)`

Answer

D

Explanation

For zero acceleration ,
Pulling force = Frictional force
`m_(1) g = mu (m_(2) + m) g`
`m_(1) = mu (m_(2) + m)`
` (m_(1))/(mu) - m_(2) = m `