The figures below demonstrate the side view of the fully raised drawbridge (a) and the side view of the partially lowered drawbridge (b). As a resident of UK, you decided to live in a castle and rather than controlling the bridge by ropes, you decided to attach two springs since you are an engineer. The springs are unstretched in Figure (a). The platform rotates around point 0 and touches down at point A smoothly to serve as a bridge between points 0 and A and is held in place by hidden clamps. If L1=2m, L2=2m, L3=5m, and the mass of the bridge is 400 kg what is the spring constant that will ensure a rotational speed of 1 rad/s when the platform moves from a vertical orientation to a horizontal one? -L- 8 O 0