Investigate the case of Coulomb damping for the block shown, where the coefficient of ki...

Investigate the case of Coulomb damping for the block shown, where the coefficient of kinetic friction is and each spring has a stiffness k/2.The block is displaced a distance x₀ from the neutral position and released. Determine and solve the differential equation of motion. Plot the resulting vibration and indicate the rate r of decay of the amplitude with time.