# Rods with Springs!

4 identical bars of mass $$M$$ and length $$L$$ are connected by pins at $$A,B, C$$ and $$D$$. The bars are attached to four massless springs of same spring constant $$K$$. The entire system can move in horizontal plane. In the equilibrium position $$\theta = 45^\circ$$ as shown in figure. If the corners $$A$$ and $$C$$ are given a slight displacement away from each other and released, find angular frequency of small oscillations.

Details and Assumptions:

• There is no friction anywhere.
• $$M = 3 \text{ kg}$$.
• $$L = 1 \text{ m}$$.
• $$K = 200 \text{ N/m}$$.
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