Exercise 1) Consider the following mass-spring-damper system composed of two masses m and m2 subjected to an input force f(t). x (1), v,(t) B = 3 N-s/m x(t), v(t) K = 4 N/m 0000 f(t) M = 1 kg M = 2 kg K = 5 N/m f = 3 N-s/m = 2 N-s/m (a) Find the equations of motion of each mass assuming the output to be the mass' position. Part 1 Direct analogy (b) Using the direct electromechanical analogy, convert the equations found in (a) into they electrical equivalent. (c) Draw the direct equivalent electrical circuit based on the equations found in (b). Part 2 Indirect analogy (d) Using the indirect electromechanical analogy analogy, convert the equations found in (a) into they electrical equivalent. (e) Draw the indirect equivalent electrical circuit based on the equations found in (d). Part 3 - Analogue simulation with operational amplifiers (f) Propose a circuit using operational amplifiers that can simulate the equations found in (a).