Two blocks of masses `m_(1) = 2kg` and `m_(2) = 4kg` are attached to two ends of a light ideal spring of force constant k = 1000 N`//`m. The system is kept on a smooth inclined plane inclined at `30^(@)` with horizontal. The block `m_(2)` is attached to a light string whose other end is connected to a mass `m_(3) = 1 kg`. A force F = 15N is applied on `m_(1)` and the system is released from rest. Assume initially the spring is at relaxed position and the system is released from rest. Find the
(a) maximum extension of the spring.
(

Answer

(a) `X_("max") = 2.4 cm, ` (b) `- 8.3 m//s^(2)`