ME 340 Fall 2023 Homework #3 Due Monday, September 18 in class' 1 (20 pts). Use the principle of virtual work to find the equilibrium position(s) of the following mechanical system. The natural lengths of springs k and k are h and h2, respectively, and the only mass of the system is assumed to be m. Hint: Introduce a fixed system of axes centered at O as a reference coordinate system. H X k m W L y g k 2 (20 pts). Use the principle of virtual work to find the equilibrium position(s) of the following mechanism. The springs k and k are at their natural lengths when the (massless) bars are vertical, and it is assumed that the only mass of the system is m. The pivot E can role horizontally on its horizontal guide so that spring k remains always vertical. Hint: Introduce a fixed system of axes centered at A as a reference coordinate system. OE