Three masses are connected by a series of springs between two fixed points as shown in
Chapter 6, Problem 10(choose chapter or problem)
Three masses are connected by a series of springs between two fixed points as shown in the accompanying figure. Assume that the springs all have the same spring constant, and let x1(t), x2(t), and x3(t) represent the displacements of the respective masses at time t. A B m1 m2 m3 (a) Derive a system of second-order differential equations that describes the motion of this system. (b) Solve the system if m1 = m3 = 1 3 , m2 = 1 4 , k = 1, and x1(0) = x2(0) = x3(0) = 1 x_ 1(0) = x_ 2(0) = x_ 3(0) = 0 1
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