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 Theta with the horizontal line.

Calculate angular velocity of the system when Theta$=5($deg$)$ and $8($deg$),$ use m$=1($kg$),$k$=20$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.