Question: 1.4 For the mechanical system in Figure P1.4 with a spring, friction forces, and an external force, write state equations using the following sets of

1.4 For the mechanical system in Figure P1.4 with a spring, friction forces, and an external force, write state equations using the following sets of variables:

a) State variables ~I =XI, ~2 =XI, ~3 = x2, and ~4 = x2; and output variable y = x2 •

b) State variables ~I= XI, ~2 =XI, ~3 = x2 -xi, and ~4 = x2 -XI;

and output variable y = x2 - x1 .

$K \\\\\\ m m2 B \\\\\\\\ B F$

K \\\\\\ m m2 B \\\\\\\\ B F

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