Please help me to solve it. I promise ill give a like as soon you reply!

The_bar_shown_below_has_a_mass_of 30 kg and_a_length of 2.6 m. A_spring k and_a_damper c are_attached_to_the_bar_at_its_two_ends. After_applying_an_initial_disturbance_to_the system, the_oscillations_of_point P are_monitored. The_displacement_data_is_shown_in_the plot_where_the_time_scale_is_calibrated (seconds), but_the_displacement_scale_is_not.

a) Derive_the_equation_of_the_motion_of_the_system.

b) Use_the_information_in_the_plot_to_find_the_damping_ratio , natural_frequency , spring_constant , and damping_constant of_the_system.

VIL HC ook .P K& K 112 liy TITE Displacement 34 (Xi, t,) (X2 , tz) 2 Fort Time (3) 0.1 0.2