Consider a system of two toy railway cars (i.e., frictionless masses) connected to each other by...

 

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Consider a system of two toy railway cars (i.e., frictionless masses) connected to each other by two springs, one of which is attached to the wall, as shown in the figure. Let x1| and x2| be the displacement of the first and second masses from their equilibrium positions. Suppose the masses are mj = 10 kg| and m2 = 5 kg, and the spring constants are kj = 80 N/m| and k2 = 40 N/m. Sysen fnses and spriags %3D a. Set up a system of second-order differential equations that models this situation. b. Find the general solution to this system of differential equations. Use a, a2, b1, ba| to denote arbitrary constants, and enter them as a1, a2, b1, b2. x1(1) = x2(1) =| Consider a system of two toy railway cars (i.e., frictionless masses) connected to each other by two springs, one of which is attached to the wall, as shown in the figure. Let x1| and x2| be the displacement of the first and second masses from their equilibrium positions. Suppose the masses are mj = 10 kg| and m2 = 5 kg, and the spring constants are kj = 80 N/m| and k2 = 40 N/m. Sysen fnses and spriags %3D a. Set up a system of second-order differential equations that models this situation. b. Find the general solution to this system of differential equations. Use a, a2, b1, ba| to denote arbitrary constants, and enter them as a1, a2, b1, b2. x1(1) = x2(1) =|