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 α, β, γ determine the magnitude of F needed to hold the door slightly open as shown. If the hinge at A becomes loose from its attachment and is ineffective, what are the x, y, z components of reaction at hinge B?

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

B