As shown in the diagram three masssesm 3m and 5m connected together lie on a frictionless horizontal surface and pulled to the left by a force f the tension `T_(1)` in the first sting is 24 N find

(i) acceleartion of the system
(ii) tension in the second string and
(iii) force f

Explanation

(i) Tension `T_(1)` of 24 N pulls the masses
(3m+5m) with acceleration a.
`:. 24 = (3m + 5m) a ` ro `a=(3)/(m)`
(ii) Tension `T_(2) ` pulls mass 5m with acceleration `(3)/(m)`
`:. , T_(2) = 5m xx (3)/(m ) = 15 N`
(iii) `F= (m+3m + 5m) a = 9m xx (3)/(m) = 27 N`