Find the acceleration of the `A` and `B` in the situation show in the figure

Options

A. `a_A = 2g/7`, `a_B = g/7`
B. `a_A = 2g/17`, `a_B = g/7`
C. `a_A = 2g/7`, `a_B = 2g/7`
D. `a_A = 4g/7`, `a_B = g/7`

Explanation

`2T - 50 = 5a` …(i)
`40 - T = 4 (2a)` …(ii)
On solving these equations, we get

`a = (10)/(7) m//s^(2)` or `(g)/(7)`
and `2a = (20)/(7) m//s^(2)` or `(2g)/(7)`