Question

The uniform link AB has a mass m, and its left end A travels freely in the fixed horizontal slot. End B is attached to the vertical plunger, which compresses the spring as B falls. The spring would be uncompressed at the position θ\theta = 0. Determine the angle θ\theta for equilibrium (other than the impossible position corresponding to θ=90\theta=90^{\circ}) and designate the condition which will ensure stability.

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