The hatch door has a weight W and center of gravity at G. If the force F applied to the handle at C has coordinate direction angles of α, β and γ, determine the magnitude of F needed to hold the door slightly open as shown. The hinges are in proper alignment and exert only force reactions on the door. Determine the components of these reactions if A exerts only x and z components of force and B exerts x, y, z force components.
Given:
W = 80 lb
α = 60 deg
β = 45 deg
γ = 60 deg
a = 3 ft
b = 2 ft
c = 4 ft
d = 3 ft
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