Two masses 8 kg and 12 kg are connected at the two ends of a light in extensible string that passes over a friction less pulley Find the acceleration of the masses and tension in the string , when the masses are released
.

Options

A. `(g)/(4)`
B. `(g)/(5)`
C. `(g)/(8)`
D. `(g)/(6)`

Answer

B

Explanation

Let a be the common acceleration of the system and T be tension of the string.
The equation of motion of two blocks are `T-8g=8a..(i)`
and 12g-T=12a….(i)
Adding (i) and (ii), we get `4a=20a or a=(g)/(5)`