A mechanical system is shown in Figure P2.17, which is subjected to a known displacement x3(t) with
Question:
(a) Determine the two independent equations of motion.
(b) Obtain the equations of motion in terms of the Laplace transform, assuming that the initial conditions are zero.
(c) Sketch a signal-flow graph representing the system of equations.
(d) Obtain the relationship T13(s) between X1(s) and X3(s) by using Mason's signal-flow gain formula. Compare the work necessary to obtain T13(s) by matrix methods to that using Mason's signal-flow gain formula.
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