Consider a spring that is standing on end in the vertical position. You place 100 grams on the spring and it compresses a distance of 9.8cm. Additionally attach anothe spring with same stiffness and 200 grams are placed on as well. Then establish the following. 1. Sketch the experiment. 2. Determine the stiffness of each spring. 3. Deduce the system of ordinary differential equations (ODEs) for the experiment. 4. Deduce the eigen-pairs for pendulum. 5. Hence, system of displacements