Problem 1 (4 points): Use coordinate system shown for displacements and determine number of DOF. Then,...

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Problem 1 (4 points): Use coordinate system shown for displacements and determine number of DOF. Then, with clear FBDs and KDs, a. obtain an equation relating the displacements x2(t) and x,(t), b. obtain equations of motion for masses m and m. State nature of the EOMs (are they linear/non-linear, time-varying/time- invariant, homogeneous/non-homogenous, order/degree?) x(t) x2(t) kz K3 k m1 C3 m2 F(t) H C2 x3(t) Problem 1 (4 points): Use coordinate system shown for displacements and determine number of DOF. Then, with clear FBDs and KDs, a. obtain an equation relating the displacements x2(t) and x,(t), b. obtain equations of motion for masses m and m. State nature of the EOMs (are they linear/non-linear, time-varying/time- invariant, homogeneous/non-homogenous, order/degree?) x(t) x2(t) kz K3 k m1 C3 m2 F(t) H C2 x3(t)