Exercise 1 Consider the mass-spring-damper system described by m+c+ky = U where y is the displacement of the mass and u is the force exerted on the mass. 1. Find a minimal state-space realization of the system. 2. Find the transfer function of the system. = 3. Let m 1, c = 2, k = 5. Build a Simulink model of the system using the integrator blocks. Attach a snapshot of your Simulink model to your document. 4. Simulate the displacement y(t) for 60 seconds when u(t) = sin(t) and all initial states are zero, i.e., y(0) = 0, y(0) = 0.