If a mass-spring system has Coulomb friction on the horizontal surface rather than viscous friction, its equation of motion is

mÿ = -ky +f/(t) – μmg if ẏ > 0

mÿ = - ky + f(t) + μmg if ẏ < 0

Where μ is the coefficient of friction develop a Simulink model for the case where m = 1 kg, k = 5 N/m, μ = 0.4, and g = 9.8 m/s². Run the simulation for two cases:

(a) The applied force f(t) is a step function with a magnitude of 10 N, 

(b) The applied force is sinusoidal: f(t) = 10sin 2.5t.