In the arrangement shown in figure. The strings are light and inextensible. The surface over which block are placed is smooth.Find
(a) the acceleration of each block,
(b) the tension in each string.

Explanation

(a) Let a be the acceleration of each block and `T_(1)` and `T_(2)` be the tension, in the two strings as shown in figure.

Taking the three blocks and the two strings as the system.

Using `sumF = ma_(x)` or `14=(4+2+1)_(a)` or `a=(14)/(7) = 2m//s^(2)`