Problem 2 (4 points): Use coordinate system shown for displacements and determine number of DOF. Then,...

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Problem 2 (4 points): Use coordinate system shown for displacements and determine number of DOF. Then, with clear FBDs and KDs, obtain equations of motion for masses m, m2, m3, and m4. State nature of the EOMs (are they linear/non-linear, time-varying/time- invariant, homogeneous/non-homogenous, order/degree?) x1(t) x2(t) x3(t) x4(t) m4 m1 m2 m3 f1(t) f2(t) f3(t) k Problem 2 (4 points): Use coordinate system shown for displacements and determine number of DOF. Then, with clear FBDs and KDs, obtain equations of motion for masses m, m2, m3, and m4. State nature of the EOMs (are they linear/non-linear, time-varying/time- invariant, homogeneous/non-homogenous, order/degree?) x1(t) x2(t) x3(t) x4(t) m4 m1 m2 m3 f1(t) f2(t) f3(t) k