How to solve

Two particle masses are placed on a rigid bar which is connected to linear springs as shown below. The system is released from rest.

Calculate the system total kinetic and potential terms when the bar makes angle $$ with the horizontal line.

Calculate angular velocity of the system when $=5(deg)$ and $8(deg),$ use $m=1(kg),k=20\frac{N}{m},l=1(m).$

Derive equation of motion of the system and then validate that with the principle of conservation of energy.

Calculate max deflection of the system.