Investigate the case of Coulomb damping for the block shown, where the coefficient of kinetic friction is μ_k 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.

Transcribed Image Text:

y k/2 k/2 m