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Homework 1 Problem 3: For the three systems shown below, x 1 and x 2 are the equilibrium positions when

`f=0`

. Therefore, all three systems (a), (b) and (c) will have the same equations of motion and response. Draw the free body diagrams and derive the equations of motion by Newton's method and Euler-Lagrange. Note: With x 1 and

`x2=0`

as static equilibrium, your equation of motion will be exactly the same for all the three systems i.e. (a), (b) and (c) and the mg will not appear in the equation of motion. (a) (b) (c)