Question: Problem 2: Consider the mechanical system shown below, where x (t) and x2 (t) are the displacements of the masses; and f(t) is an

Problem 2: Consider the mechanical system shown below, where x (t) and x2 (t) are the displacements of the masses; and f(t) is an external force input. Derive the lumped-parameter model for the system in three different forms: a) The equations of motion for x (t) and x2 (t) f(t) k x1(t) b) Transfer function X2(s) F(s) mi m2 m k2 c) State-space representation using the velocities and forces as state variables. b Problem Consider the block. X2(1) b

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