Question: Exercise 2 Consider the mass spring damper system given by mij+cy+ky = u, where Y is the position of the mass m, the spring

Exercise 2 Consider the mass spring damper system given by mij+cy+ky = u, where Y is the position of the mass m, the spring constant is k, and c is the damping ratio. Assume that all the initial conditions are zero, the input u(t) = 10 and the position y(t) = 5-10e-2t+5e-4t. Find m, c, and k.

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