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3.6 Challenege Problems

1. Write a program to find the deformation of an array of springs (as pictured below) with a force applied to an internal node. Use a matrix method to solve the problem. Assume that the nodes at the four corners are fixed and unable to move.

2. Write the differential equations for one of the following systems. Simulate the system response using a numerical method, such as Runge-Kutta integration.