The mechanism is used to hide kitchen appliances under a cabinet by allowing the shelf to rotate downward. If the mixer has weight W, is centered on the shelf, and has a mass center at G, determine the stretch in the spring necessary to hold the shelf in the equilibrium position shown. There is a similar mechanism on each side of the shelf, so that each mechanism supports half of the load W. The springs each have stiffness k.

Given:

W = 10 lb         a = 2 in

k = 4lb/in          b = 4 in

ϕ = 30 deg        c = 15 in

θ = 30 deg         d = 6 in

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