Problem 4 (3 points): Consider the spring-mass-damper system in the research paper attached towards the end of Homework 2 (please see HW 2.pdf under Modules). In that paper, Equations (11) and (12) pasted below represent the equations of motion for the system shown in the problem (Figure 1 in the paper). With proper FBDs and KDs, derive the EOMS shown below. Notice the presence of the weight of the masses in the EOM. What does this tell you about the position of the coordinates denoting the degrees of freedom x (t) and x2(t)? i.e., what is different in this problem from what we are doing in class? mx,+(c +c)x C22+(k+k)x,k2x2=mg (11) MqXq +CzXqX + kxqkqx =mg. (12) k k m2 m1 C2