Minimum Force

Three weightless rods of length ll each are hinged at point AA and BB lying on the same horizontal and joint through hinges at points CC and DD (shown below). The length AABB == 22ll. A load of mass mm is suspended at hinge CC.

Determine the minimum force FF applied to the hinge DD for which the middle rod remains horizontal.

If FF can be described as mgk\dfrac{mg}{k}, determine kk

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